TSTP Solution File: SWV422-1.300 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV422-1.300 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 15:14:44 EDT 2022
% Result : Unsatisfiable 4.56s 3.21s
% Output : Proof 12.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV422-1.300 : TPTP v8.1.0. Released v3.5.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 03:21:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 4.56/3.21 % SZS status Unsatisfiable
% 4.56/3.21 % SZS output start Proof
% 4.56/3.21 tff(always25_type, type, (
% 4.56/3.21 always25: $i > $o)).
% 4.56/3.21 tff(s192_type, type, (
% 4.56/3.21 s192: $i)).
% 4.56/3.21 tff(m_main_v_state2_type, type, (
% 4.56/3.21 m_main_v_state2: ( $i * $i ) > $o)).
% 4.56/3.21 tff(c_c2_type, type, (
% 4.56/3.21 c_c2: $i)).
% 4.56/3.21 tff(node9_type, type, (
% 4.56/3.21 node9: $i > $o)).
% 4.56/3.21 tff(s191_type, type, (
% 4.56/3.21 s191: $i)).
% 4.56/3.21 tff(c_n2_type, type, (
% 4.56/3.21 c_n2: $i)).
% 4.56/3.21 tff(node13_type, type, (
% 4.56/3.21 node13: ( $i * $i ) > $o)).
% 4.56/3.21 tff(s190_type, type, (
% 4.56/3.21 s190: $i)).
% 4.56/3.21 tff(node12_type, type, (
% 4.56/3.21 node12: $i > $o)).
% 4.56/3.21 tff(m_main_v_turn_type, type, (
% 4.56/3.21 m_main_v_turn: ( $i * $i ) > $o)).
% 4.56/3.21 tff(c_2_type, type, (
% 4.56/3.21 c_2: $i)).
% 4.56/3.21 tff(c_1_type, type, (
% 4.56/3.21 c_1: $i)).
% 4.56/3.21 tff(m_main_v_state1_type, type, (
% 4.56/3.21 m_main_v_state1: ( $i * $i ) > $o)).
% 4.56/3.21 tff(c_t1_type, type, (
% 4.56/3.21 c_t1: $i)).
% 4.56/3.21 tff(s189_type, type, (
% 4.56/3.21 s189: $i)).
% 4.56/3.21 tff(node6_type, type, (
% 4.56/3.21 node6: ( $i * $i ) > $o)).
% 4.56/3.21 tff(s188_type, type, (
% 4.56/3.21 s188: $i)).
% 4.56/3.21 tff(node1_type, type, (
% 4.56/3.21 node1: $i > $o)).
% 4.56/3.21 tff(c_n1_type, type, (
% 4.56/3.21 c_n1: $i)).
% 4.56/3.21 tff(s187_type, type, (
% 4.56/3.21 s187: $i)).
% 4.56/3.21 tff(node5_type, type, (
% 4.56/3.21 node5: $i > $o)).
% 4.56/3.21 tff(s186_type, type, (
% 4.56/3.21 s186: $i)).
% 4.56/3.21 tff(c_c1_type, type, (
% 4.56/3.21 c_c1: $i)).
% 4.56/3.21 tff(node3_type, type, (
% 4.56/3.21 node3: $i > $o)).
% 4.56/3.21 tff(s185_type, type, (
% 4.56/3.21 s185: $i)).
% 4.56/3.21 tff(s184_type, type, (
% 4.56/3.21 s184: $i)).
% 4.56/3.21 tff(c_t2_type, type, (
% 4.56/3.21 c_t2: $i)).
% 4.56/3.21 tff(s183_type, type, (
% 4.56/3.21 s183: $i)).
% 4.56/3.21 tff(s182_type, type, (
% 4.56/3.21 s182: $i)).
% 4.56/3.21 tff(s181_type, type, (
% 4.56/3.21 s181: $i)).
% 4.56/3.21 tff(s180_type, type, (
% 4.56/3.21 s180: $i)).
% 4.56/3.21 tff(s179_type, type, (
% 4.56/3.21 s179: $i)).
% 4.56/3.21 tff(s178_type, type, (
% 4.56/3.21 s178: $i)).
% 4.56/3.21 tff(s177_type, type, (
% 4.56/3.21 s177: $i)).
% 4.56/3.21 tff(s176_type, type, (
% 4.56/3.21 s176: $i)).
% 4.56/3.21 tff(s175_type, type, (
% 4.56/3.21 s175: $i)).
% 4.56/3.21 tff(s174_type, type, (
% 4.56/3.21 s174: $i)).
% 4.56/3.21 tff(s173_type, type, (
% 4.56/3.21 s173: $i)).
% 4.56/3.21 tff(s172_type, type, (
% 4.56/3.21 s172: $i)).
% 4.56/3.21 tff(s171_type, type, (
% 4.56/3.21 s171: $i)).
% 4.56/3.21 tff(s170_type, type, (
% 4.56/3.21 s170: $i)).
% 4.56/3.21 tff(s169_type, type, (
% 4.56/3.21 s169: $i)).
% 4.56/3.21 tff(s168_type, type, (
% 4.56/3.21 s168: $i)).
% 4.56/3.21 tff(s167_type, type, (
% 4.56/3.21 s167: $i)).
% 4.56/3.21 tff(s166_type, type, (
% 4.56/3.21 s166: $i)).
% 4.56/3.21 tff(s165_type, type, (
% 4.56/3.21 s165: $i)).
% 4.56/3.21 tff(s164_type, type, (
% 4.56/3.21 s164: $i)).
% 4.56/3.21 tff(s163_type, type, (
% 4.56/3.21 s163: $i)).
% 4.56/3.21 tff(s162_type, type, (
% 4.56/3.21 s162: $i)).
% 4.56/3.21 tff(s161_type, type, (
% 4.56/3.21 s161: $i)).
% 4.56/3.21 tff(s160_type, type, (
% 4.56/3.21 s160: $i)).
% 4.56/3.21 tff(s159_type, type, (
% 4.56/3.21 s159: $i)).
% 4.56/3.21 tff(s158_type, type, (
% 4.56/3.21 s158: $i)).
% 4.56/3.21 tff(s157_type, type, (
% 4.56/3.21 s157: $i)).
% 4.56/3.21 tff(s156_type, type, (
% 4.56/3.21 s156: $i)).
% 4.56/3.21 tff(s155_type, type, (
% 4.56/3.21 s155: $i)).
% 4.56/3.21 tff(s154_type, type, (
% 4.56/3.21 s154: $i)).
% 4.56/3.21 tff(s153_type, type, (
% 4.56/3.21 s153: $i)).
% 4.56/3.21 tff(s152_type, type, (
% 4.56/3.21 s152: $i)).
% 4.56/3.21 tff(s151_type, type, (
% 4.56/3.21 s151: $i)).
% 4.56/3.21 tff(s150_type, type, (
% 4.56/3.21 s150: $i)).
% 4.56/3.21 tff(s149_type, type, (
% 4.56/3.21 s149: $i)).
% 4.56/3.21 tff(s148_type, type, (
% 4.56/3.21 s148: $i)).
% 4.56/3.21 tff(s147_type, type, (
% 4.56/3.21 s147: $i)).
% 4.56/3.21 tff(s146_type, type, (
% 4.56/3.21 s146: $i)).
% 4.56/3.21 tff(s145_type, type, (
% 4.56/3.21 s145: $i)).
% 4.56/3.21 tff(s144_type, type, (
% 4.56/3.21 s144: $i)).
% 4.56/3.21 tff(s143_type, type, (
% 4.56/3.21 s143: $i)).
% 4.56/3.21 tff(s142_type, type, (
% 4.56/3.21 s142: $i)).
% 4.56/3.21 tff(s141_type, type, (
% 4.56/3.21 s141: $i)).
% 4.56/3.21 tff(s140_type, type, (
% 4.56/3.21 s140: $i)).
% 4.56/3.21 tff(s139_type, type, (
% 4.56/3.21 s139: $i)).
% 4.56/3.21 tff(s138_type, type, (
% 4.56/3.21 s138: $i)).
% 4.56/3.21 tff(s137_type, type, (
% 4.56/3.21 s137: $i)).
% 4.56/3.21 tff(s136_type, type, (
% 4.56/3.21 s136: $i)).
% 4.56/3.21 tff(s135_type, type, (
% 4.56/3.21 s135: $i)).
% 4.56/3.21 tff(s134_type, type, (
% 4.56/3.21 s134: $i)).
% 4.56/3.21 tff(s133_type, type, (
% 4.56/3.21 s133: $i)).
% 4.56/3.21 tff(s132_type, type, (
% 4.56/3.21 s132: $i)).
% 4.56/3.21 tff(s131_type, type, (
% 4.56/3.21 s131: $i)).
% 4.56/3.21 tff(s130_type, type, (
% 4.56/3.21 s130: $i)).
% 4.56/3.21 tff(s129_type, type, (
% 4.56/3.21 s129: $i)).
% 4.56/3.21 tff(s128_type, type, (
% 4.56/3.21 s128: $i)).
% 4.56/3.21 tff(s127_type, type, (
% 4.56/3.21 s127: $i)).
% 4.56/3.21 tff(s126_type, type, (
% 4.56/3.21 s126: $i)).
% 4.56/3.21 tff(s125_type, type, (
% 4.56/3.21 s125: $i)).
% 4.56/3.21 tff(s124_type, type, (
% 4.56/3.21 s124: $i)).
% 4.56/3.21 tff(s123_type, type, (
% 4.56/3.21 s123: $i)).
% 4.56/3.21 tff(s122_type, type, (
% 4.56/3.21 s122: $i)).
% 4.56/3.21 tff(s121_type, type, (
% 4.56/3.21 s121: $i)).
% 4.56/3.21 tff(s120_type, type, (
% 4.56/3.21 s120: $i)).
% 4.56/3.21 tff(s119_type, type, (
% 4.56/3.21 s119: $i)).
% 4.56/3.21 tff(s118_type, type, (
% 4.56/3.21 s118: $i)).
% 4.56/3.21 tff(s117_type, type, (
% 4.56/3.21 s117: $i)).
% 4.56/3.21 tff(s116_type, type, (
% 4.56/3.21 s116: $i)).
% 4.56/3.21 tff(s115_type, type, (
% 4.56/3.21 s115: $i)).
% 4.56/3.21 tff(s114_type, type, (
% 4.56/3.21 s114: $i)).
% 4.56/3.21 tff(s113_type, type, (
% 4.56/3.21 s113: $i)).
% 4.56/3.21 tff(s112_type, type, (
% 4.56/3.21 s112: $i)).
% 4.56/3.21 tff(s111_type, type, (
% 4.56/3.21 s111: $i)).
% 4.56/3.21 tff(s110_type, type, (
% 4.56/3.21 s110: $i)).
% 4.56/3.21 tff(s109_type, type, (
% 4.56/3.21 s109: $i)).
% 4.56/3.21 tff(s108_type, type, (
% 4.56/3.21 s108: $i)).
% 4.56/3.21 tff(s107_type, type, (
% 4.56/3.21 s107: $i)).
% 4.56/3.21 tff(s106_type, type, (
% 4.56/3.21 s106: $i)).
% 4.56/3.21 tff(s105_type, type, (
% 4.56/3.21 s105: $i)).
% 4.56/3.21 tff(s104_type, type, (
% 4.56/3.21 s104: $i)).
% 4.56/3.21 tff(s103_type, type, (
% 4.56/3.21 s103: $i)).
% 4.56/3.21 tff(s102_type, type, (
% 4.56/3.21 s102: $i)).
% 4.56/3.21 tff(s101_type, type, (
% 4.56/3.21 s101: $i)).
% 4.56/3.21 tff(s100_type, type, (
% 4.56/3.21 s100: $i)).
% 4.56/3.21 tff(s99_type, type, (
% 4.56/3.21 s99: $i)).
% 4.56/3.21 tff(s98_type, type, (
% 4.56/3.21 s98: $i)).
% 4.56/3.21 tff(s97_type, type, (
% 4.56/3.21 s97: $i)).
% 4.56/3.21 tff(s96_type, type, (
% 4.56/3.21 s96: $i)).
% 4.56/3.21 tff(s95_type, type, (
% 4.56/3.21 s95: $i)).
% 4.56/3.21 tff(s94_type, type, (
% 4.56/3.21 s94: $i)).
% 4.56/3.21 tff(s93_type, type, (
% 4.56/3.21 s93: $i)).
% 4.56/3.21 tff(s92_type, type, (
% 4.56/3.21 s92: $i)).
% 4.56/3.21 tff(s91_type, type, (
% 4.56/3.21 s91: $i)).
% 4.56/3.21 tff(s90_type, type, (
% 4.56/3.21 s90: $i)).
% 4.56/3.21 tff(s89_type, type, (
% 4.56/3.21 s89: $i)).
% 4.56/3.21 tff(s88_type, type, (
% 4.56/3.21 s88: $i)).
% 4.56/3.21 tff(s87_type, type, (
% 4.56/3.21 s87: $i)).
% 4.56/3.21 tff(s86_type, type, (
% 4.56/3.21 s86: $i)).
% 4.56/3.21 tff(s85_type, type, (
% 4.56/3.21 s85: $i)).
% 4.56/3.21 tff(s84_type, type, (
% 4.56/3.21 s84: $i)).
% 4.56/3.21 tff(s83_type, type, (
% 4.56/3.21 s83: $i)).
% 4.56/3.21 tff(s82_type, type, (
% 4.56/3.21 s82: $i)).
% 4.56/3.21 tff(s81_type, type, (
% 4.56/3.21 s81: $i)).
% 4.56/3.21 tff(s80_type, type, (
% 4.56/3.21 s80: $i)).
% 4.56/3.21 tff(s79_type, type, (
% 4.56/3.21 s79: $i)).
% 4.56/3.21 tff(s78_type, type, (
% 4.56/3.21 s78: $i)).
% 4.56/3.21 tff(s77_type, type, (
% 4.56/3.21 s77: $i)).
% 4.56/3.21 tff(s76_type, type, (
% 4.56/3.21 s76: $i)).
% 4.56/3.21 tff(s75_type, type, (
% 4.56/3.21 s75: $i)).
% 4.56/3.21 tff(s74_type, type, (
% 4.56/3.21 s74: $i)).
% 4.56/3.21 tff(s73_type, type, (
% 4.56/3.21 s73: $i)).
% 4.56/3.21 tff(s72_type, type, (
% 4.56/3.21 s72: $i)).
% 4.56/3.21 tff(s71_type, type, (
% 4.56/3.21 s71: $i)).
% 4.56/3.21 tff(s70_type, type, (
% 4.56/3.21 s70: $i)).
% 4.56/3.21 tff(s69_type, type, (
% 4.56/3.21 s69: $i)).
% 4.56/3.21 tff(s68_type, type, (
% 4.56/3.21 s68: $i)).
% 4.56/3.21 tff(s67_type, type, (
% 4.56/3.21 s67: $i)).
% 4.56/3.21 tff(s66_type, type, (
% 4.56/3.21 s66: $i)).
% 4.56/3.21 tff(s65_type, type, (
% 4.56/3.21 s65: $i)).
% 4.56/3.21 tff(s64_type, type, (
% 4.56/3.21 s64: $i)).
% 4.56/3.21 tff(s63_type, type, (
% 4.56/3.21 s63: $i)).
% 4.56/3.21 tff(s62_type, type, (
% 4.56/3.21 s62: $i)).
% 4.56/3.21 tff(s61_type, type, (
% 4.56/3.21 s61: $i)).
% 4.56/3.21 tff(s60_type, type, (
% 4.56/3.21 s60: $i)).
% 4.56/3.21 tff(s59_type, type, (
% 4.56/3.21 s59: $i)).
% 4.56/3.21 tff(s58_type, type, (
% 4.56/3.21 s58: $i)).
% 4.56/3.21 tff(s57_type, type, (
% 4.56/3.21 s57: $i)).
% 4.56/3.21 tff(s56_type, type, (
% 4.56/3.21 s56: $i)).
% 4.56/3.21 tff(s55_type, type, (
% 4.56/3.21 s55: $i)).
% 4.56/3.21 tff(s54_type, type, (
% 4.56/3.21 s54: $i)).
% 4.56/3.21 tff(s53_type, type, (
% 4.56/3.21 s53: $i)).
% 4.56/3.21 tff(s52_type, type, (
% 4.56/3.21 s52: $i)).
% 4.56/3.21 tff(s51_type, type, (
% 4.56/3.21 s51: $i)).
% 4.56/3.21 tff(s50_type, type, (
% 4.56/3.21 s50: $i)).
% 4.56/3.21 tff(s49_type, type, (
% 4.56/3.21 s49: $i)).
% 4.56/3.21 tff(s48_type, type, (
% 4.56/3.21 s48: $i)).
% 4.56/3.21 tff(s47_type, type, (
% 4.56/3.21 s47: $i)).
% 4.56/3.21 tff(s46_type, type, (
% 4.56/3.21 s46: $i)).
% 4.56/3.21 tff(s45_type, type, (
% 4.56/3.21 s45: $i)).
% 4.56/3.21 tff(s44_type, type, (
% 4.56/3.21 s44: $i)).
% 4.56/3.21 tff(s43_type, type, (
% 4.56/3.21 s43: $i)).
% 4.56/3.21 tff(s42_type, type, (
% 4.56/3.21 s42: $i)).
% 4.56/3.21 tff(s41_type, type, (
% 4.56/3.21 s41: $i)).
% 4.56/3.21 tff(s40_type, type, (
% 4.56/3.21 s40: $i)).
% 4.56/3.21 tff(s39_type, type, (
% 4.56/3.21 s39: $i)).
% 4.56/3.21 tff(s38_type, type, (
% 4.56/3.21 s38: $i)).
% 4.56/3.21 tff(s37_type, type, (
% 4.56/3.21 s37: $i)).
% 4.56/3.21 tff(s36_type, type, (
% 4.56/3.21 s36: $i)).
% 4.56/3.21 tff(s35_type, type, (
% 4.56/3.21 s35: $i)).
% 4.56/3.21 tff(s34_type, type, (
% 4.56/3.21 s34: $i)).
% 4.56/3.21 tff(s33_type, type, (
% 4.56/3.21 s33: $i)).
% 4.56/3.21 tff(s32_type, type, (
% 4.56/3.21 s32: $i)).
% 4.56/3.21 tff(s31_type, type, (
% 4.56/3.21 s31: $i)).
% 4.56/3.21 tff(s30_type, type, (
% 4.56/3.21 s30: $i)).
% 4.56/3.21 tff(s29_type, type, (
% 4.56/3.21 s29: $i)).
% 4.56/3.21 tff(s28_type, type, (
% 4.56/3.21 s28: $i)).
% 4.56/3.21 tff(s27_type, type, (
% 4.56/3.21 s27: $i)).
% 4.56/3.21 tff(s26_type, type, (
% 4.56/3.21 s26: $i)).
% 4.56/3.21 tff(s25_type, type, (
% 4.56/3.21 s25: $i)).
% 4.56/3.21 tff(s24_type, type, (
% 4.56/3.21 s24: $i)).
% 4.56/3.21 tff(s23_type, type, (
% 4.56/3.21 s23: $i)).
% 4.56/3.21 tff(s22_type, type, (
% 4.56/3.21 s22: $i)).
% 4.56/3.21 tff(s21_type, type, (
% 4.56/3.21 s21: $i)).
% 4.56/3.21 tff(s20_type, type, (
% 4.56/3.21 s20: $i)).
% 4.56/3.21 tff(s19_type, type, (
% 4.56/3.21 s19: $i)).
% 4.56/3.21 tff(s18_type, type, (
% 4.56/3.21 s18: $i)).
% 4.56/3.21 tff(s17_type, type, (
% 4.56/3.21 s17: $i)).
% 4.56/3.21 tff(s16_type, type, (
% 4.56/3.21 s16: $i)).
% 4.56/3.21 tff(s15_type, type, (
% 4.56/3.21 s15: $i)).
% 4.56/3.21 tff(s14_type, type, (
% 4.56/3.21 s14: $i)).
% 4.56/3.21 tff(s13_type, type, (
% 4.56/3.21 s13: $i)).
% 4.56/3.21 tff(s12_type, type, (
% 4.56/3.21 s12: $i)).
% 4.56/3.21 tff(s11_type, type, (
% 4.56/3.21 s11: $i)).
% 4.56/3.21 tff(s10_type, type, (
% 4.56/3.21 s10: $i)).
% 4.56/3.21 tff(s9_type, type, (
% 4.56/3.21 s9: $i)).
% 4.56/3.21 tff(s8_type, type, (
% 4.56/3.21 s8: $i)).
% 4.56/3.21 tff(s7_type, type, (
% 4.56/3.21 s7: $i)).
% 4.56/3.21 tff(s6_type, type, (
% 4.56/3.21 s6: $i)).
% 4.56/3.21 tff(s5_type, type, (
% 4.56/3.21 s5: $i)).
% 4.56/3.21 tff(s4_type, type, (
% 4.56/3.21 s4: $i)).
% 4.56/3.21 tff(s3_type, type, (
% 4.56/3.21 s3: $i)).
% 4.56/3.21 tff(s2_type, type, (
% 4.56/3.21 s2: $i)).
% 4.56/3.21 tff(s1_type, type, (
% 4.56/3.21 s1: $i)).
% 4.56/3.21 tff(node17_type, type, (
% 4.56/3.21 node17: ( $i * $i ) > $o)).
% 4.56/3.21 tff(s0_type, type, (
% 4.56/3.21 s0: $i)).
% 4.56/3.21 tff(node15_type, type, (
% 4.56/3.21 node15: $i > $o)).
% 4.56/3.21 tff(node16_type, type, (
% 4.56/3.21 node16: $i > $o)).
% 4.56/3.21 tff(node18_type, type, (
% 4.56/3.21 node18: ( $i * $i ) > $o)).
% 4.56/3.21 tff(trans_type, type, (
% 4.56/3.21 trans: ( $i * $i ) > $o)).
% 4.56/3.21 tff(succ_type, type, (
% 4.56/3.21 succ: ( $i * $i ) > $o)).
% 4.56/3.21 tff(node4_type, type, (
% 4.56/3.21 node4: $i > $o)).
% 4.56/3.21 tff(node8_type, type, (
% 4.56/3.21 node8: $i > $o)).
% 4.56/3.21 tff(node14_type, type, (
% 4.56/3.21 node14: ( $i * $i ) > $o)).
% 4.56/3.21 tff(node2_type, type, (
% 4.56/3.21 node2: $i > $o)).
% 4.56/3.21 tff(node7_type, type, (
% 4.56/3.21 node7: ( $i * $i ) > $o)).
% 4.56/3.21 tff(node11_type, type, (
% 4.56/3.21 node11: $i > $o)).
% 4.56/3.21 tff(node10_type, type, (
% 4.56/3.21 node10: $i > $o)).
% 4.56/3.21 tff(s299_type, type, (
% 4.56/3.21 s299: $i)).
% 4.56/3.21 tff(xuntil28_type, type, (
% 4.56/3.21 xuntil28: $i > $o)).
% 4.56/3.21 tff(node26_type, type, (
% 4.56/3.21 node26: $i > $o)).
% 4.56/3.21 tff(s298_type, type, (
% 4.56/3.21 s298: $i)).
% 4.56/3.21 tff(until27_type, type, (
% 4.56/3.21 until27: $i > $o)).
% 4.56/3.21 tff(s297_type, type, (
% 4.56/3.21 s297: $i)).
% 4.56/3.21 tff(s296_type, type, (
% 4.56/3.21 s296: $i)).
% 4.56/3.21 tff(s295_type, type, (
% 4.56/3.21 s295: $i)).
% 4.56/3.21 tff(s294_type, type, (
% 4.56/3.21 s294: $i)).
% 4.56/3.21 tff(s293_type, type, (
% 4.56/3.21 s293: $i)).
% 4.56/3.21 tff(s292_type, type, (
% 4.56/3.21 s292: $i)).
% 4.56/3.21 tff(s291_type, type, (
% 4.56/3.21 s291: $i)).
% 4.56/3.21 tff(s290_type, type, (
% 4.56/3.21 s290: $i)).
% 4.56/3.21 tff(s289_type, type, (
% 4.56/3.21 s289: $i)).
% 4.56/3.21 tff(s288_type, type, (
% 4.56/3.21 s288: $i)).
% 4.56/3.21 tff(s287_type, type, (
% 4.56/3.21 s287: $i)).
% 4.56/3.21 tff(s286_type, type, (
% 4.56/3.21 s286: $i)).
% 4.56/3.21 tff(s285_type, type, (
% 4.56/3.21 s285: $i)).
% 4.56/3.21 tff(s284_type, type, (
% 4.56/3.21 s284: $i)).
% 4.56/3.21 tff(s283_type, type, (
% 4.56/3.21 s283: $i)).
% 4.56/3.21 tff(s282_type, type, (
% 4.56/3.21 s282: $i)).
% 4.56/3.21 tff(s281_type, type, (
% 4.56/3.21 s281: $i)).
% 4.56/3.21 tff(s280_type, type, (
% 4.56/3.21 s280: $i)).
% 4.56/3.21 tff(s279_type, type, (
% 4.56/3.21 s279: $i)).
% 4.56/3.21 tff(s278_type, type, (
% 4.56/3.21 s278: $i)).
% 4.56/3.21 tff(s277_type, type, (
% 4.56/3.21 s277: $i)).
% 4.56/3.21 tff(s276_type, type, (
% 4.56/3.21 s276: $i)).
% 4.56/3.21 tff(s275_type, type, (
% 4.56/3.21 s275: $i)).
% 4.56/3.21 tff(s274_type, type, (
% 4.56/3.21 s274: $i)).
% 4.56/3.21 tff(s273_type, type, (
% 4.56/3.21 s273: $i)).
% 4.56/3.21 tff(s272_type, type, (
% 4.56/3.21 s272: $i)).
% 4.56/3.21 tff(s271_type, type, (
% 4.56/3.21 s271: $i)).
% 4.56/3.21 tff(s270_type, type, (
% 4.56/3.21 s270: $i)).
% 4.56/3.21 tff(s269_type, type, (
% 4.56/3.21 s269: $i)).
% 4.56/3.21 tff(s268_type, type, (
% 4.56/3.21 s268: $i)).
% 4.56/3.21 tff(s267_type, type, (
% 4.56/3.21 s267: $i)).
% 4.56/3.21 tff(s266_type, type, (
% 4.56/3.21 s266: $i)).
% 4.56/3.21 tff(s265_type, type, (
% 4.56/3.21 s265: $i)).
% 4.56/3.21 tff(s264_type, type, (
% 4.56/3.21 s264: $i)).
% 4.56/3.21 tff(s263_type, type, (
% 4.56/3.21 s263: $i)).
% 4.56/3.21 tff(s262_type, type, (
% 4.56/3.21 s262: $i)).
% 4.56/3.21 tff(s261_type, type, (
% 4.56/3.21 s261: $i)).
% 4.56/3.21 tff(s260_type, type, (
% 4.56/3.21 s260: $i)).
% 4.56/3.21 tff(s259_type, type, (
% 4.56/3.21 s259: $i)).
% 4.56/3.21 tff(s258_type, type, (
% 4.56/3.21 s258: $i)).
% 4.56/3.21 tff(s257_type, type, (
% 4.56/3.21 s257: $i)).
% 4.56/3.21 tff(s256_type, type, (
% 4.56/3.21 s256: $i)).
% 4.56/3.21 tff(s255_type, type, (
% 4.56/3.21 s255: $i)).
% 4.56/3.21 tff(s254_type, type, (
% 4.56/3.21 s254: $i)).
% 4.56/3.21 tff(s253_type, type, (
% 4.56/3.21 s253: $i)).
% 4.56/3.21 tff(s252_type, type, (
% 4.56/3.21 s252: $i)).
% 4.56/3.21 tff(s251_type, type, (
% 4.56/3.21 s251: $i)).
% 4.56/3.21 tff(s250_type, type, (
% 4.56/3.21 s250: $i)).
% 4.56/3.21 tff(s249_type, type, (
% 4.56/3.21 s249: $i)).
% 4.56/3.21 tff(s248_type, type, (
% 4.56/3.21 s248: $i)).
% 4.56/3.21 tff(s247_type, type, (
% 4.56/3.21 s247: $i)).
% 4.56/3.21 tff(s246_type, type, (
% 4.56/3.21 s246: $i)).
% 4.56/3.21 tff(s245_type, type, (
% 4.56/3.21 s245: $i)).
% 4.56/3.21 tff(s244_type, type, (
% 4.56/3.21 s244: $i)).
% 4.56/3.21 tff(s243_type, type, (
% 4.56/3.21 s243: $i)).
% 4.56/3.21 tff(s242_type, type, (
% 4.56/3.21 s242: $i)).
% 4.56/3.21 tff(s241_type, type, (
% 4.56/3.21 s241: $i)).
% 4.56/3.21 tff(s240_type, type, (
% 4.56/3.21 s240: $i)).
% 4.56/3.21 tff(s239_type, type, (
% 4.56/3.21 s239: $i)).
% 4.56/3.21 tff(s238_type, type, (
% 4.56/3.21 s238: $i)).
% 4.56/3.21 tff(s237_type, type, (
% 4.56/3.21 s237: $i)).
% 4.56/3.21 tff(s236_type, type, (
% 4.56/3.21 s236: $i)).
% 4.56/3.21 tff(s235_type, type, (
% 4.56/3.21 s235: $i)).
% 4.56/3.21 tff(s234_type, type, (
% 4.56/3.21 s234: $i)).
% 4.56/3.21 tff(s233_type, type, (
% 4.56/3.21 s233: $i)).
% 4.56/3.21 tff(s232_type, type, (
% 4.56/3.21 s232: $i)).
% 4.56/3.21 tff(s231_type, type, (
% 4.56/3.21 s231: $i)).
% 4.56/3.21 tff(s230_type, type, (
% 4.56/3.21 s230: $i)).
% 4.56/3.21 tff(s229_type, type, (
% 4.56/3.21 s229: $i)).
% 4.56/3.21 tff(s228_type, type, (
% 4.56/3.21 s228: $i)).
% 4.56/3.21 tff(s227_type, type, (
% 4.56/3.21 s227: $i)).
% 4.56/3.21 tff(s226_type, type, (
% 4.56/3.21 s226: $i)).
% 4.56/3.21 tff(s225_type, type, (
% 4.56/3.21 s225: $i)).
% 4.56/3.21 tff(s224_type, type, (
% 4.56/3.21 s224: $i)).
% 4.56/3.21 tff(s223_type, type, (
% 4.56/3.21 s223: $i)).
% 4.56/3.21 tff(s222_type, type, (
% 4.56/3.21 s222: $i)).
% 4.56/3.21 tff(s221_type, type, (
% 4.56/3.21 s221: $i)).
% 4.56/3.21 tff(s220_type, type, (
% 4.56/3.21 s220: $i)).
% 4.56/3.21 tff(s219_type, type, (
% 4.56/3.21 s219: $i)).
% 4.56/3.21 tff(s218_type, type, (
% 4.56/3.21 s218: $i)).
% 4.56/3.21 tff(s217_type, type, (
% 4.56/3.21 s217: $i)).
% 4.56/3.21 tff(s216_type, type, (
% 4.56/3.21 s216: $i)).
% 4.56/3.21 tff(s215_type, type, (
% 4.56/3.21 s215: $i)).
% 4.56/3.21 tff(s214_type, type, (
% 4.56/3.21 s214: $i)).
% 4.56/3.21 tff(s213_type, type, (
% 4.56/3.21 s213: $i)).
% 4.56/3.21 tff(s212_type, type, (
% 4.56/3.21 s212: $i)).
% 4.56/3.21 tff(s211_type, type, (
% 4.56/3.21 s211: $i)).
% 4.56/3.21 tff(s210_type, type, (
% 4.56/3.21 s210: $i)).
% 4.56/3.21 tff(s209_type, type, (
% 4.56/3.21 s209: $i)).
% 4.56/3.21 tff(s208_type, type, (
% 4.56/3.21 s208: $i)).
% 4.56/3.21 tff(s207_type, type, (
% 4.56/3.21 s207: $i)).
% 4.56/3.21 tff(s206_type, type, (
% 4.56/3.21 s206: $i)).
% 4.56/3.21 tff(s205_type, type, (
% 4.56/3.21 s205: $i)).
% 4.56/3.21 tff(s204_type, type, (
% 4.56/3.21 s204: $i)).
% 4.56/3.21 tff(s203_type, type, (
% 4.56/3.21 s203: $i)).
% 4.56/3.21 tff(s202_type, type, (
% 4.56/3.21 s202: $i)).
% 4.56/3.21 tff(s201_type, type, (
% 4.56/3.21 s201: $i)).
% 4.56/3.21 tff(s200_type, type, (
% 4.56/3.21 s200: $i)).
% 4.56/3.21 tff(s199_type, type, (
% 4.56/3.21 s199: $i)).
% 4.56/3.21 tff(s198_type, type, (
% 4.56/3.21 s198: $i)).
% 4.56/3.21 tff(s197_type, type, (
% 4.56/3.21 s197: $i)).
% 4.56/3.21 tff(s196_type, type, (
% 4.56/3.21 s196: $i)).
% 4.56/3.21 tff(s195_type, type, (
% 4.56/3.21 s195: $i)).
% 4.56/3.21 tff(s194_type, type, (
% 4.56/3.21 s194: $i)).
% 4.56/3.21 tff(s193_type, type, (
% 4.56/3.21 s193: $i)).
% 4.56/3.21 tff(until2p29_type, type, (
% 4.56/3.21 until2p29: $i > $o)).
% 4.56/3.21 tff(xuntil2p30_type, type, (
% 4.56/3.21 xuntil2p30: $i > $o)).
% 4.56/3.21 tff(last_type, type, (
% 4.56/3.21 last: $i > $o)).
% 4.56/3.21 tff(loop_type, type, (
% 4.56/3.21 loop: $o)).
% 4.56/3.21 tff(1,plain,
% 4.56/3.21 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(2,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_12')).
% 4.56/3.21 tff(3,plain,
% 4.56/3.21 (m_main_v_state2(s0, c_n2)),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[2, 1])).
% 4.56/3.21 tff(4,plain,
% 4.56/3.21 (^[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))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(5,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[4])).
% 4.56/3.21 tff(6,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(7,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')).
% 4.56/3.21 tff(8,plain,
% 4.56/3.21 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[7, 6])).
% 4.56/3.21 tff(9,plain,(
% 4.56/3.21 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 4.56/3.21 inference(skolemize,[status(sab)],[8])).
% 4.56/3.21 tff(10,plain,
% 4.56/3.21 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[9, 5])).
% 4.56/3.21 tff(11,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(12,plain,
% 4.56/3.21 ((~![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)))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(13,plain,
% 4.56/3.21 ((~![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))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[12, 11])).
% 4.56/3.21 tff(14,plain,
% 4.56/3.21 (~m_main_v_state2(s0, c_t2)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 4.56/3.21 tff(15,plain,
% 4.56/3.21 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(16,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[15])).
% 4.56/3.21 tff(17,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(18,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_57')).
% 4.56/3.21 tff(19,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[18, 17])).
% 4.56/3.21 tff(20,plain,(
% 4.56/3.21 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 4.56/3.21 inference(skolemize,[status(sab)],[19])).
% 4.56/3.21 tff(21,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[20, 16])).
% 4.56/3.21 tff(22,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(23,plain,
% 4.56/3.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(24,plain,
% 4.56/3.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[23, 22])).
% 4.56/3.21 tff(25,plain,
% 4.56/3.21 (~node15(s0)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 4.56/3.21 tff(26,plain,
% 4.56/3.21 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(27,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_11')).
% 4.56/3.21 tff(28,plain,
% 4.56/3.21 (m_main_v_state1(s0, c_n1)),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[27, 26])).
% 4.56/3.21 tff(29,plain,
% 4.56/3.21 (^[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))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(30,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[29])).
% 4.56/3.21 tff(31,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(32,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')).
% 4.56/3.21 tff(33,plain,
% 4.56/3.21 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[32, 31])).
% 4.56/3.21 tff(34,plain,(
% 4.56/3.21 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 4.56/3.21 inference(skolemize,[status(sab)],[33])).
% 4.56/3.21 tff(35,plain,
% 4.56/3.21 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[34, 30])).
% 4.56/3.21 tff(36,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(37,plain,
% 4.56/3.21 ((~![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)))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(38,plain,
% 4.56/3.21 ((~![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))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[37, 36])).
% 4.56/3.21 tff(39,plain,
% 4.56/3.21 (~m_main_v_state1(s0, c_t1)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[38, 35, 28])).
% 4.56/3.21 tff(40,plain,
% 4.56/3.21 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(41,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[40])).
% 4.56/3.21 tff(42,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(43,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_59')).
% 4.56/3.21 tff(44,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[43, 42])).
% 4.56/3.21 tff(45,plain,(
% 4.56/3.21 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 4.56/3.21 inference(skolemize,[status(sab)],[44])).
% 4.56/3.21 tff(46,plain,
% 4.56/3.21 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[45, 41])).
% 4.56/3.21 tff(47,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(48,plain,
% 4.56/3.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(49,plain,
% 4.56/3.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[48, 47])).
% 4.56/3.21 tff(50,plain,
% 4.56/3.21 (~node16(s0)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 4.56/3.21 tff(51,plain,
% 4.56/3.21 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(52,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[51])).
% 4.56/3.21 tff(53,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(54,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound301')).
% 4.56/3.21 tff(55,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[54, 53])).
% 4.56/3.21 tff(56,plain,(
% 4.56/3.21 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.56/3.21 inference(skolemize,[status(sab)],[55])).
% 4.56/3.21 tff(57,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[56, 52])).
% 4.56/3.21 tff(58,plain,
% 4.56/3.21 (succ(s0, s1) <=> succ(s0, s1)),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(59,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 4.56/3.21 tff(60,plain,
% 4.56/3.21 (succ(s0, s1)),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[59, 58])).
% 4.56/3.21 tff(61,plain,
% 4.56/3.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(62,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(63,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[62, 61])).
% 4.56/3.21 tff(64,plain,
% 4.56/3.21 (trans(s0, s1)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[63, 60, 57])).
% 4.56/3.21 tff(65,plain,
% 4.56/3.21 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(66,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[65])).
% 4.56/3.21 tff(67,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(68,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_65')).
% 4.56/3.21 tff(69,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[68, 67])).
% 4.56/3.21 tff(70,plain,(
% 4.56/3.21 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 4.56/3.21 inference(skolemize,[status(sab)],[69])).
% 4.56/3.21 tff(71,plain,
% 4.56/3.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[70, 66])).
% 4.56/3.21 tff(72,plain,
% 4.56/3.21 (((~![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))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(73,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(74,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[73, 72])).
% 4.56/3.21 tff(75,plain,
% 4.56/3.21 (node18(s0, s1)),
% 4.56/3.21 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 4.56/3.21 tff(76,plain,
% 4.56/3.21 (^[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))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(77,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[76])).
% 4.56/3.21 tff(78,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(79,plain,
% 4.56/3.21 (^[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)))))),
% 4.56/3.21 inference(bind,[status(th)],[])).
% 4.56/3.21 tff(80,plain,
% 4.56/3.21 (![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)))),
% 4.56/3.21 inference(quant_intro,[status(thm)],[79])).
% 4.56/3.21 tff(81,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')).
% 4.56/3.21 tff(82,plain,
% 4.56/3.21 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[81, 80])).
% 4.56/3.21 tff(83,plain,
% 4.56/3.21 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[82, 78])).
% 4.56/3.21 tff(84,plain,(
% 4.56/3.21 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 4.56/3.21 inference(skolemize,[status(sab)],[83])).
% 4.56/3.21 tff(85,plain,
% 4.56/3.21 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 4.56/3.21 inference(modus_ponens,[status(thm)],[84, 77])).
% 4.56/3.21 tff(86,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(87,plain,
% 4.56/3.21 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 4.56/3.21 inference(rewrite,[status(thm)],[])).
% 4.56/3.21 tff(88,plain,
% 4.56/3.21 (((~![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))))),
% 4.56/3.21 inference(monotonicity,[status(thm)],[87])).
% 4.56/3.21 tff(89,plain,
% 4.56/3.21 (((~![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)))),
% 4.56/3.21 inference(transitivity,[status(thm)],[88, 86])).
% 4.56/3.21 tff(90,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 4.56/3.21 inference(quant_inst,[status(thm)],[])).
% 4.56/3.21 tff(91,plain,
% 4.56/3.21 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[90, 89])).
% 4.56/3.22 tff(92,plain,
% 4.56/3.22 (node17(s0, s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[91, 85, 75, 50, 25])).
% 4.56/3.22 tff(93,plain,
% 4.56/3.22 (^[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)))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(94,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[93])).
% 4.56/3.22 tff(95,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(96,plain,
% 4.56/3.22 (^[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))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(97,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[96])).
% 4.56/3.22 tff(98,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')).
% 4.56/3.22 tff(99,plain,
% 4.56/3.22 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[98, 97])).
% 4.56/3.22 tff(100,plain,
% 4.56/3.22 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[99, 95])).
% 4.56/3.22 tff(101,plain,(
% 4.56/3.22 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 4.56/3.22 inference(skolemize,[status(sab)],[100])).
% 4.56/3.22 tff(102,plain,
% 4.56/3.22 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[101, 94])).
% 4.56/3.22 tff(103,plain,
% 4.56/3.22 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(104,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_13')).
% 4.56/3.22 tff(105,plain,
% 4.56/3.22 (m_main_v_turn(s0, c_1)),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[104, 103])).
% 4.56/3.22 tff(106,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(107,plain,
% 4.56/3.22 (((~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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(108,plain,
% 4.56/3.22 (((~![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))))),
% 4.56/3.22 inference(monotonicity,[status(thm)],[107])).
% 4.56/3.22 tff(109,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(transitivity,[status(thm)],[108, 106])).
% 4.56/3.22 tff(110,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(111,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[110, 109])).
% 4.56/3.22 tff(112,plain,
% 4.56/3.22 (m_main_v_turn(s1, c_1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[111, 105, 102, 92])).
% 4.56/3.22 tff(113,plain,
% 4.56/3.22 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(114,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[113])).
% 4.56/3.22 tff(115,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(116,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_36')).
% 4.56/3.22 tff(117,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[116, 115])).
% 4.56/3.22 tff(118,plain,(
% 4.56/3.22 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[117])).
% 4.56/3.22 tff(119,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[118, 114])).
% 4.56/3.22 tff(120,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(121,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(122,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[121, 120])).
% 4.56/3.22 tff(123,plain,
% 4.56/3.22 (~node8(s0)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[122, 119, 39])).
% 4.56/3.22 tff(124,plain,
% 4.56/3.22 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(125,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[124])).
% 4.56/3.22 tff(126,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(127,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_55')).
% 4.56/3.22 tff(128,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[127, 126])).
% 4.56/3.22 tff(129,plain,(
% 4.56/3.22 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 4.56/3.22 inference(skolemize,[status(sab)],[128])).
% 4.56/3.22 tff(130,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[129, 125])).
% 4.56/3.22 tff(131,plain,
% 4.56/3.22 (((~![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))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(132,plain,
% 4.56/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(133,plain,
% 4.56/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[132, 131])).
% 4.56/3.22 tff(134,plain,
% 4.56/3.22 (node14(s0, s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[133, 130, 64])).
% 4.56/3.22 tff(135,plain,
% 4.56/3.22 (^[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)))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(136,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[135])).
% 4.56/3.22 tff(137,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(138,plain,
% 4.56/3.22 (^[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))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(139,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[138])).
% 4.56/3.22 tff(140,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')).
% 4.56/3.22 tff(141,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[140, 139])).
% 4.56/3.22 tff(142,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[141, 137])).
% 4.56/3.22 tff(143,plain,(
% 4.56/3.22 ![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))),
% 4.56/3.22 inference(skolemize,[status(sab)],[142])).
% 4.56/3.22 tff(144,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[143, 136])).
% 4.56/3.22 tff(145,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(146,plain,
% 4.56/3.22 (((~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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(147,plain,
% 4.56/3.22 (((~![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))))),
% 4.56/3.22 inference(monotonicity,[status(thm)],[146])).
% 4.56/3.22 tff(148,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(transitivity,[status(thm)],[147, 145])).
% 4.56/3.22 tff(149,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(150,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[149, 148])).
% 4.56/3.22 tff(151,plain,
% 4.56/3.22 (m_main_v_state2(s1, c_t2)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[150, 28, 3, 144, 134, 123])).
% 4.56/3.22 tff(152,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(153,plain,
% 4.56/3.22 ((~![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)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(154,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[153, 152])).
% 4.56/3.22 tff(155,plain,
% 4.56/3.22 (~m_main_v_state2(s1, c_n2)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[154, 10, 151])).
% 4.56/3.22 tff(156,plain,
% 4.56/3.22 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(157,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[156])).
% 4.56/3.22 tff(158,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(159,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_21')).
% 4.56/3.22 tff(160,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[159, 158])).
% 4.56/3.22 tff(161,plain,(
% 4.56/3.22 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[160])).
% 4.56/3.22 tff(162,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[161, 157])).
% 4.56/3.22 tff(163,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(164,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(165,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[164, 163])).
% 4.56/3.22 tff(166,plain,
% 4.56/3.22 (~node4(s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[165, 162, 155])).
% 4.56/3.22 tff(167,plain,
% 4.56/3.22 (^[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))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(168,plain,
% 4.56/3.22 (![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)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[167])).
% 4.56/3.22 tff(169,plain,
% 4.56/3.22 (![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(170,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')).
% 4.56/3.22 tff(171,plain,
% 4.56/3.22 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[170, 169])).
% 4.56/3.22 tff(172,plain,(
% 4.56/3.22 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[171])).
% 4.56/3.22 tff(173,plain,
% 4.56/3.22 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[172, 168])).
% 4.56/3.22 tff(174,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(175,plain,
% 4.56/3.22 ((~![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)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(176,plain,
% 4.56/3.22 ((~![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[175, 174])).
% 4.56/3.22 tff(177,plain,
% 4.56/3.22 (~m_main_v_state2(s1, c_c2)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[176, 173, 151])).
% 4.56/3.22 tff(178,plain,
% 4.56/3.22 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(179,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[178])).
% 4.56/3.22 tff(180,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(181,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_19')).
% 4.56/3.22 tff(182,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[181, 180])).
% 4.56/3.22 tff(183,plain,(
% 4.56/3.22 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[182])).
% 4.56/3.22 tff(184,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[183, 179])).
% 4.56/3.22 tff(185,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(186,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(187,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[186, 185])).
% 4.56/3.22 tff(188,plain,
% 4.56/3.22 (~node3(s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 4.56/3.22 tff(189,plain,
% 4.56/3.22 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(190,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[189])).
% 4.56/3.22 tff(191,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_17')).
% 4.56/3.22 tff(193,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[192, 191])).
% 4.56/3.22 tff(194,plain,(
% 4.56/3.22 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[193])).
% 4.56/3.22 tff(195,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[194, 190])).
% 4.56/3.22 tff(196,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(197,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(198,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[197, 196])).
% 4.56/3.22 tff(199,plain,
% 4.56/3.22 (~node2(s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[198, 195, 155])).
% 4.56/3.22 tff(200,plain,
% 4.56/3.22 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(201,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[200])).
% 4.56/3.22 tff(202,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(203,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_15')).
% 4.56/3.22 tff(204,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[203, 202])).
% 4.56/3.22 tff(205,plain,(
% 4.56/3.22 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 4.56/3.22 inference(skolemize,[status(sab)],[204])).
% 4.56/3.22 tff(206,plain,
% 4.56/3.22 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[205, 201])).
% 4.56/3.22 tff(207,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(208,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(209,plain,
% 4.56/3.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[208, 207])).
% 4.56/3.22 tff(210,plain,
% 4.56/3.22 (~node1(s0)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[209, 206, 14])).
% 4.56/3.22 tff(211,plain,
% 4.56/3.22 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(212,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[211])).
% 4.56/3.22 tff(213,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(214,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_34')).
% 4.56/3.22 tff(215,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[214, 213])).
% 4.56/3.22 tff(216,plain,(
% 4.56/3.22 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 4.56/3.22 inference(skolemize,[status(sab)],[215])).
% 4.56/3.22 tff(217,plain,
% 4.56/3.22 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[216, 212])).
% 4.56/3.22 tff(218,plain,
% 4.56/3.22 (((~![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))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(219,plain,
% 4.56/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 4.56/3.22 inference(quant_inst,[status(thm)],[])).
% 4.56/3.22 tff(220,plain,
% 4.56/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[219, 218])).
% 4.56/3.22 tff(221,plain,
% 4.56/3.22 (node7(s0, s1)),
% 4.56/3.22 inference(unit_resolution,[status(thm)],[220, 217, 64])).
% 4.56/3.22 tff(222,plain,
% 4.56/3.22 (^[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)))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(223,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[222])).
% 4.56/3.22 tff(224,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(225,plain,
% 4.56/3.22 (^[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))))),
% 4.56/3.22 inference(bind,[status(th)],[])).
% 4.56/3.22 tff(226,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(quant_intro,[status(thm)],[225])).
% 4.56/3.22 tff(227,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')).
% 4.56/3.22 tff(228,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[227, 226])).
% 4.56/3.22 tff(229,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[228, 224])).
% 4.56/3.22 tff(230,plain,(
% 4.56/3.22 ![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))),
% 4.56/3.22 inference(skolemize,[status(sab)],[229])).
% 4.56/3.22 tff(231,plain,
% 4.56/3.22 (![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))),
% 4.56/3.22 inference(modus_ponens,[status(thm)],[230, 223])).
% 4.56/3.22 tff(232,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(233,plain,
% 4.56/3.22 (((~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)))),
% 4.56/3.22 inference(rewrite,[status(thm)],[])).
% 4.56/3.22 tff(234,plain,
% 4.56/3.22 (((~![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))))),
% 4.56/3.22 inference(monotonicity,[status(thm)],[233])).
% 4.56/3.22 tff(235,plain,
% 4.56/3.22 (((~![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)))),
% 4.56/3.23 inference(transitivity,[status(thm)],[234, 232])).
% 4.56/3.23 tff(236,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(237,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[236, 235])).
% 4.56/3.23 tff(238,plain,
% 4.56/3.23 (m_main_v_state1(s1, c_t1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[237, 28, 3, 231, 221, 210])).
% 4.56/3.23 tff(239,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(240,plain,
% 4.56/3.23 ((~![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)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(241,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[240, 239])).
% 4.56/3.23 tff(242,plain,
% 4.56/3.23 (~m_main_v_state1(s1, c_n1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[241, 35, 238])).
% 4.56/3.23 tff(243,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(244,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[243])).
% 4.56/3.23 tff(245,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(246,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_14')).
% 4.56/3.23 tff(247,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[246, 245])).
% 4.56/3.23 tff(248,plain,(
% 4.56/3.23 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[247])).
% 4.56/3.23 tff(249,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[248, 244])).
% 4.56/3.23 tff(250,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(251,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(252,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[251, 250])).
% 4.56/3.23 tff(253,plain,
% 4.56/3.23 (~node1(s1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[252, 249, 242])).
% 4.56/3.23 tff(254,plain,
% 4.56/3.23 (succ(s1, s2) <=> succ(s1, s2)),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(255,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 4.56/3.23 tff(256,plain,
% 4.56/3.23 (succ(s1, s2)),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[255, 254])).
% 4.56/3.23 tff(257,plain,
% 4.56/3.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(258,plain,
% 4.56/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(259,plain,
% 4.56/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[258, 257])).
% 4.56/3.23 tff(260,plain,
% 4.56/3.23 (trans(s1, s2)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[259, 256, 57])).
% 4.56/3.23 tff(261,plain,
% 4.56/3.23 (((~![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))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(262,plain,
% 4.56/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(263,plain,
% 4.56/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[262, 261])).
% 4.56/3.23 tff(264,plain,
% 4.56/3.23 (node7(s1, s2)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[263, 217, 260])).
% 4.56/3.23 tff(265,plain,
% 4.56/3.23 (^[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)))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(266,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[265])).
% 4.56/3.23 tff(267,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(268,plain,
% 4.56/3.23 (^[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))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(269,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[268])).
% 4.56/3.23 tff(270,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')).
% 4.56/3.23 tff(271,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[270, 269])).
% 4.56/3.23 tff(272,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[271, 267])).
% 4.56/3.23 tff(273,plain,(
% 4.56/3.23 ![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))),
% 4.56/3.23 inference(skolemize,[status(sab)],[272])).
% 4.56/3.23 tff(274,plain,
% 4.56/3.23 (![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[273, 266])).
% 4.56/3.23 tff(275,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(276,plain,
% 4.56/3.23 (((~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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(277,plain,
% 4.56/3.23 (((~![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))))),
% 4.56/3.23 inference(monotonicity,[status(thm)],[276])).
% 4.56/3.23 tff(278,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(transitivity,[status(thm)],[277, 275])).
% 4.56/3.23 tff(279,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(280,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[279, 278])).
% 4.56/3.23 tff(281,plain,
% 4.56/3.23 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[280, 274, 264, 151, 238])).
% 4.56/3.23 tff(282,plain,
% 4.56/3.23 (m_main_v_state1(s2, c_c1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[281, 253, 199, 188, 166, 112])).
% 4.56/3.23 tff(283,plain,
% 4.56/3.23 (^[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))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(284,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[283])).
% 4.56/3.23 tff(285,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(286,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')).
% 4.56/3.23 tff(287,plain,
% 4.56/3.23 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[286, 285])).
% 4.56/3.23 tff(288,plain,(
% 4.56/3.23 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[287])).
% 4.56/3.23 tff(289,plain,
% 4.56/3.23 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[288, 284])).
% 4.56/3.23 tff(290,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(291,plain,
% 4.56/3.23 ((~![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)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(292,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[291, 290])).
% 4.56/3.23 tff(293,plain,
% 4.56/3.23 (~m_main_v_state1(s2, c_t1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[292, 289, 282])).
% 4.56/3.23 tff(294,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(295,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[294])).
% 4.56/3.23 tff(296,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(297,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_22')).
% 4.56/3.23 tff(298,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[297, 296])).
% 4.56/3.23 tff(299,plain,(
% 4.56/3.23 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[298])).
% 4.56/3.23 tff(300,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[299, 295])).
% 4.56/3.23 tff(301,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(302,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(303,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[302, 301])).
% 4.56/3.23 tff(304,plain,
% 4.56/3.23 (~node5(s2)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[303, 300, 293])).
% 4.56/3.23 tff(305,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(306,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[305])).
% 4.56/3.23 tff(307,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(308,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_37')).
% 4.56/3.23 tff(309,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[308, 307])).
% 4.56/3.23 tff(310,plain,(
% 4.56/3.23 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[309])).
% 4.56/3.23 tff(311,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[310, 306])).
% 4.56/3.23 tff(312,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(313,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(314,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[313, 312])).
% 4.56/3.23 tff(315,plain,
% 4.56/3.23 (~node9(s1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[314, 311, 155])).
% 4.56/3.23 tff(316,plain,
% 4.56/3.23 (^[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))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(317,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[316])).
% 4.56/3.23 tff(318,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(319,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')).
% 4.56/3.23 tff(320,plain,
% 4.56/3.23 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[319, 318])).
% 4.56/3.23 tff(321,plain,(
% 4.56/3.23 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[320])).
% 4.56/3.23 tff(322,plain,
% 4.56/3.23 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[321, 317])).
% 4.56/3.23 tff(323,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(324,plain,
% 4.56/3.23 ((~![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)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(325,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[324, 323])).
% 4.56/3.23 tff(326,plain,
% 4.56/3.23 (~m_main_v_turn(s0, c_2)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[325, 322, 105])).
% 4.56/3.23 tff(327,plain,
% 4.56/3.23 (^[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))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(328,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[327])).
% 4.56/3.23 tff(329,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(330,plain,
% 4.56/3.23 (^[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))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(331,plain,
% 4.56/3.23 (![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)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[330])).
% 4.56/3.23 tff(332,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')).
% 4.56/3.23 tff(333,plain,
% 4.56/3.23 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[332, 331])).
% 4.56/3.23 tff(334,plain,
% 4.56/3.23 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[333, 329])).
% 4.56/3.23 tff(335,plain,(
% 4.56/3.23 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[334])).
% 4.56/3.23 tff(336,plain,
% 4.56/3.23 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[335, 328])).
% 4.56/3.23 tff(337,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(338,plain,
% 4.56/3.23 (((~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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(339,plain,
% 4.56/3.23 (((~![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))))),
% 4.56/3.23 inference(monotonicity,[status(thm)],[338])).
% 4.56/3.23 tff(340,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(transitivity,[status(thm)],[339, 337])).
% 4.56/3.23 tff(341,plain,
% 4.56/3.23 ((~![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)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(342,plain,
% 4.56/3.23 ((~![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))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[341, 340])).
% 4.56/3.23 tff(343,plain,
% 4.56/3.23 (~m_main_v_turn(s1, c_2)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[342, 336, 326, 92])).
% 4.56/3.23 tff(344,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(345,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[344])).
% 4.56/3.23 tff(346,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(347,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_45')).
% 4.56/3.23 tff(348,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[347, 346])).
% 4.56/3.23 tff(349,plain,(
% 4.56/3.23 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[348])).
% 4.56/3.23 tff(350,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[349, 345])).
% 4.56/3.23 tff(351,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(352,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(353,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[352, 351])).
% 4.56/3.23 tff(354,plain,
% 4.56/3.23 (~node12(s1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[353, 350, 343])).
% 4.56/3.23 tff(355,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 4.56/3.23 inference(bind,[status(th)],[])).
% 4.56/3.23 tff(356,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 4.56/3.23 inference(quant_intro,[status(thm)],[355])).
% 4.56/3.23 tff(357,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(358,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_42')).
% 4.56/3.23 tff(359,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[358, 357])).
% 4.56/3.23 tff(360,plain,(
% 4.56/3.23 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 4.56/3.23 inference(skolemize,[status(sab)],[359])).
% 4.56/3.23 tff(361,plain,
% 4.56/3.23 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[360, 356])).
% 4.56/3.23 tff(362,plain,
% 4.56/3.23 (((~![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)))),
% 4.56/3.23 inference(rewrite,[status(thm)],[])).
% 4.56/3.23 tff(363,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 4.56/3.23 inference(quant_inst,[status(thm)],[])).
% 4.56/3.23 tff(364,plain,
% 4.56/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 4.56/3.23 inference(modus_ponens,[status(thm)],[363, 362])).
% 4.56/3.23 tff(365,plain,
% 4.56/3.23 (~node11(s1)),
% 4.56/3.23 inference(unit_resolution,[status(thm)],[364, 361, 242])).
% 4.56/3.23 tff(366,plain,
% 4.56/3.23 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(367,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[366])).
% 4.56/3.24 tff(368,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(369,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_39')).
% 4.56/3.24 tff(370,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[369, 368])).
% 4.56/3.24 tff(371,plain,(
% 4.56/3.24 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 4.56/3.24 inference(skolemize,[status(sab)],[370])).
% 4.56/3.24 tff(372,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[371, 367])).
% 4.56/3.24 tff(373,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(374,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(375,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[374, 373])).
% 4.56/3.24 tff(376,plain,
% 4.56/3.24 (~node10(s1)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[375, 372, 155])).
% 4.56/3.24 tff(377,plain,
% 4.56/3.24 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(378,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[377])).
% 4.56/3.24 tff(379,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(380,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_35')).
% 4.56/3.24 tff(381,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[380, 379])).
% 4.56/3.24 tff(382,plain,(
% 4.56/3.24 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 4.56/3.24 inference(skolemize,[status(sab)],[381])).
% 4.56/3.24 tff(383,plain,
% 4.56/3.24 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[382, 378])).
% 4.56/3.24 tff(384,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(385,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(386,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[385, 384])).
% 4.56/3.24 tff(387,plain,
% 4.56/3.24 (~node8(s1)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[386, 383, 155])).
% 4.56/3.24 tff(388,plain,
% 4.56/3.24 (((~![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))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(389,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(390,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[389, 388])).
% 4.56/3.24 tff(391,plain,
% 4.56/3.24 (node14(s1, s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[390, 130, 260])).
% 4.56/3.24 tff(392,plain,
% 4.56/3.24 (^[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))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(393,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[392])).
% 4.56/3.24 tff(394,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(395,plain,
% 4.56/3.24 (^[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)))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(396,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[395])).
% 4.56/3.24 tff(397,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')).
% 4.56/3.24 tff(398,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[397, 396])).
% 4.56/3.24 tff(399,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[398, 394])).
% 4.56/3.24 tff(400,plain,(
% 4.56/3.24 ![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)))),
% 4.56/3.24 inference(skolemize,[status(sab)],[399])).
% 4.56/3.24 tff(401,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[400, 393])).
% 4.56/3.24 tff(402,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(403,plain,
% 4.56/3.24 ((~![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)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(404,plain,
% 4.56/3.24 ((~![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))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[403, 402])).
% 4.56/3.24 tff(405,plain,
% 4.56/3.24 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[404, 401, 391])).
% 4.56/3.24 tff(406,plain,
% 4.56/3.24 (node13(s1, s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[405, 387, 177, 376, 365, 354, 315])).
% 4.56/3.24 tff(407,plain,
% 4.56/3.24 (^[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))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(408,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[407])).
% 4.56/3.24 tff(409,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(410,plain,
% 4.56/3.24 (^[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))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(411,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[410])).
% 4.56/3.24 tff(412,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')).
% 4.56/3.24 tff(413,plain,
% 4.56/3.24 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[412, 411])).
% 4.56/3.24 tff(414,plain,
% 4.56/3.24 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[413, 409])).
% 4.56/3.24 tff(415,plain,(
% 4.56/3.24 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 4.56/3.24 inference(skolemize,[status(sab)],[414])).
% 4.56/3.24 tff(416,plain,
% 4.56/3.24 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[415, 408])).
% 4.56/3.24 tff(417,plain,
% 4.56/3.24 (((~![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(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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(418,plain,
% 4.56/3.24 (((~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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(419,plain,
% 4.56/3.24 (((~![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))))),
% 4.56/3.24 inference(monotonicity,[status(thm)],[418])).
% 4.56/3.24 tff(420,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(transitivity,[status(thm)],[419, 417])).
% 4.56/3.24 tff(421,plain,
% 4.56/3.24 ((~![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)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(422,plain,
% 4.56/3.24 ((~![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(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[421, 420])).
% 4.56/3.24 tff(423,plain,
% 4.56/3.24 (~m_main_v_state2(s2, c_n2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[422, 416, 155, 406])).
% 4.56/3.24 tff(424,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(425,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(426,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[425, 424])).
% 4.56/3.24 tff(427,plain,
% 4.56/3.24 (~node4(s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[426, 162, 423])).
% 4.56/3.24 tff(428,plain,
% 4.56/3.24 (((~![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(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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(429,plain,
% 4.56/3.24 (((~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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(430,plain,
% 4.56/3.24 (((~![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))))),
% 4.56/3.24 inference(monotonicity,[status(thm)],[429])).
% 4.56/3.24 tff(431,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(transitivity,[status(thm)],[430, 428])).
% 4.56/3.24 tff(432,plain,
% 4.56/3.24 ((~![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)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(433,plain,
% 4.56/3.24 ((~![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(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[432, 431])).
% 4.56/3.24 tff(434,plain,
% 4.56/3.24 (~m_main_v_state2(s2, c_c2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[433, 416, 177, 406])).
% 4.56/3.24 tff(435,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(436,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(437,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[436, 435])).
% 4.56/3.24 tff(438,plain,
% 4.56/3.24 (~node3(s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[437, 184, 434])).
% 4.56/3.24 tff(439,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(440,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(441,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[440, 439])).
% 4.56/3.24 tff(442,plain,
% 4.56/3.24 (~node2(s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[441, 195, 423])).
% 4.56/3.24 tff(443,plain,
% 4.56/3.24 (^[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))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(444,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[443])).
% 4.56/3.24 tff(445,plain,
% 4.56/3.24 (![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(446,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')).
% 4.56/3.24 tff(447,plain,
% 4.56/3.24 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[446, 445])).
% 4.56/3.24 tff(448,plain,(
% 4.56/3.24 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.24 inference(skolemize,[status(sab)],[447])).
% 4.56/3.24 tff(449,plain,
% 4.56/3.24 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[448, 444])).
% 4.56/3.24 tff(450,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(451,plain,
% 4.56/3.24 ((~![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)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(452,plain,
% 4.56/3.24 ((~![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))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[451, 450])).
% 4.56/3.24 tff(453,plain,
% 4.56/3.24 (~m_main_v_state1(s2, c_n1)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[452, 449, 282])).
% 4.56/3.24 tff(454,plain,
% 4.56/3.24 (((~![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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(455,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(456,plain,
% 4.56/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[455, 454])).
% 4.56/3.24 tff(457,plain,
% 4.56/3.24 (~node1(s2)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[456, 249, 453])).
% 4.56/3.24 tff(458,plain,
% 4.56/3.24 (succ(s2, s3) <=> succ(s2, s3)),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(459,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 4.56/3.24 tff(460,plain,
% 4.56/3.24 (succ(s2, s3)),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[459, 458])).
% 4.56/3.24 tff(461,plain,
% 4.56/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(462,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(463,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[462, 461])).
% 4.56/3.24 tff(464,plain,
% 4.56/3.24 (trans(s2, s3)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[463, 460, 57])).
% 4.56/3.24 tff(465,plain,
% 4.56/3.24 (((~![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))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(466,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(467,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[466, 465])).
% 4.56/3.24 tff(468,plain,
% 4.56/3.24 (node7(s2, s3)),
% 4.56/3.24 inference(unit_resolution,[status(thm)],[467, 217, 464])).
% 4.56/3.24 tff(469,plain,
% 4.56/3.24 (^[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)))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(470,plain,
% 4.56/3.24 (![Y: $i, X: $i] : ((~m_main_v_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))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[469])).
% 4.56/3.24 tff(471,plain,
% 4.56/3.24 (![Y: $i, X: $i] : ((~m_main_v_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))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(472,plain,
% 4.56/3.24 (^[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))))),
% 4.56/3.24 inference(bind,[status(th)],[])).
% 4.56/3.24 tff(473,plain,
% 4.56/3.24 (![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))),
% 4.56/3.24 inference(quant_intro,[status(thm)],[472])).
% 4.56/3.24 tff(474,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')).
% 4.56/3.24 tff(475,plain,
% 4.56/3.24 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[474, 473])).
% 4.56/3.24 tff(476,plain,
% 4.56/3.24 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[475, 471])).
% 4.56/3.24 tff(477,plain,(
% 4.56/3.24 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 4.56/3.24 inference(skolemize,[status(sab)],[476])).
% 4.56/3.24 tff(478,plain,
% 4.56/3.24 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[477, 470])).
% 4.56/3.24 tff(479,plain,
% 4.56/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(480,plain,
% 4.56/3.24 (((~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)))),
% 4.56/3.24 inference(rewrite,[status(thm)],[])).
% 4.56/3.24 tff(481,plain,
% 4.56/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.56/3.24 inference(monotonicity,[status(thm)],[480])).
% 4.56/3.24 tff(482,plain,
% 4.56/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.56/3.24 inference(transitivity,[status(thm)],[481, 479])).
% 4.56/3.24 tff(483,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.56/3.24 inference(quant_inst,[status(thm)],[])).
% 4.56/3.24 tff(484,plain,
% 4.56/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.56/3.24 inference(modus_ponens,[status(thm)],[483, 482])).
% 4.56/3.24 tff(485,plain,
% 4.56/3.25 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[484, 478, 468])).
% 4.56/3.25 tff(486,plain,
% 4.56/3.25 (m_main_v_state1(s3, c_n1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[485, 457, 282, 442, 438, 427, 304])).
% 4.56/3.25 tff(487,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(488,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(489,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[488, 487])).
% 4.56/3.25 tff(490,plain,
% 4.56/3.25 (~node9(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[489, 311, 423])).
% 4.56/3.25 tff(491,plain,
% 4.56/3.25 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(492,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[491])).
% 4.56/3.25 tff(493,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(494,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_58')).
% 4.56/3.25 tff(495,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[494, 493])).
% 4.56/3.25 tff(496,plain,(
% 4.56/3.25 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 4.56/3.25 inference(skolemize,[status(sab)],[495])).
% 4.56/3.25 tff(497,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[496, 492])).
% 4.56/3.25 tff(498,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(499,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(500,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[499, 498])).
% 4.56/3.25 tff(501,plain,
% 4.56/3.25 (~node16(s1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[500, 497, 155])).
% 4.56/3.25 tff(502,plain,
% 4.56/3.25 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(503,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[502])).
% 4.56/3.25 tff(504,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(505,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_56')).
% 4.56/3.25 tff(506,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[505, 504])).
% 4.56/3.25 tff(507,plain,(
% 4.56/3.25 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 4.56/3.25 inference(skolemize,[status(sab)],[506])).
% 4.56/3.25 tff(508,plain,
% 4.56/3.25 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[507, 503])).
% 4.56/3.25 tff(509,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(510,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(511,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[510, 509])).
% 4.56/3.25 tff(512,plain,
% 4.56/3.25 (~node15(s1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[511, 508, 242])).
% 4.56/3.25 tff(513,plain,
% 4.56/3.25 (((~![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(514,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(515,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[514, 513])).
% 4.56/3.25 tff(516,plain,
% 4.56/3.25 (node18(s1, s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[515, 71, 260])).
% 4.56/3.25 tff(517,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(518,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(519,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[518, 517])).
% 4.56/3.25 tff(520,plain,
% 4.56/3.25 (node15(s1) | node16(s1) | node17(s1, s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[519, 85, 516])).
% 4.56/3.25 tff(521,plain,
% 4.56/3.25 (node17(s1, s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[520, 512, 501])).
% 4.56/3.25 tff(522,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(523,plain,
% 4.56/3.25 (((~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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(524,plain,
% 4.56/3.25 (((~![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))))),
% 4.56/3.25 inference(monotonicity,[status(thm)],[523])).
% 4.56/3.25 tff(525,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(transitivity,[status(thm)],[524, 522])).
% 4.56/3.25 tff(526,plain,
% 4.56/3.25 ((~![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)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(527,plain,
% 4.56/3.25 ((~![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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[526, 525])).
% 4.56/3.25 tff(528,plain,
% 4.56/3.25 (~m_main_v_turn(s2, c_2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[527, 336, 521, 343])).
% 4.56/3.25 tff(529,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(530,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(531,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[530, 529])).
% 4.56/3.25 tff(532,plain,
% 4.56/3.25 (~node12(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[531, 350, 528])).
% 4.56/3.25 tff(533,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(534,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(535,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[534, 533])).
% 4.56/3.25 tff(536,plain,
% 4.56/3.25 (~node11(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[535, 361, 453])).
% 4.56/3.25 tff(537,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(538,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(539,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[538, 537])).
% 4.56/3.25 tff(540,plain,
% 4.56/3.25 (~node10(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[539, 372, 423])).
% 4.56/3.25 tff(541,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(542,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(543,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[542, 541])).
% 4.56/3.25 tff(544,plain,
% 4.56/3.25 (~node8(s2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[543, 383, 423])).
% 4.56/3.25 tff(545,plain,
% 4.56/3.25 (((~![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(546,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(547,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[546, 545])).
% 4.56/3.25 tff(548,plain,
% 4.56/3.25 (node14(s2, s3)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[547, 130, 464])).
% 4.56/3.25 tff(549,plain,
% 4.56/3.25 (((~![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(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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(550,plain,
% 4.56/3.25 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(551,plain,
% 4.56/3.25 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[550, 549])).
% 4.56/3.25 tff(552,plain,
% 4.56/3.25 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[551, 401, 548])).
% 4.56/3.25 tff(553,plain,
% 4.56/3.25 (node13(s2, s3)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[552, 544, 434, 540, 536, 532, 490])).
% 4.56/3.25 tff(554,plain,
% 4.56/3.25 (^[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)))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(555,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[554])).
% 4.56/3.25 tff(556,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(557,plain,
% 4.56/3.25 (^[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))))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(558,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[557])).
% 4.56/3.25 tff(559,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')).
% 4.56/3.25 tff(560,plain,
% 4.56/3.25 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[559, 558])).
% 4.56/3.25 tff(561,plain,
% 4.56/3.25 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[560, 556])).
% 4.56/3.25 tff(562,plain,(
% 4.56/3.25 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 4.56/3.25 inference(skolemize,[status(sab)],[561])).
% 4.56/3.25 tff(563,plain,
% 4.56/3.25 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[562, 555])).
% 4.56/3.25 tff(564,plain,
% 4.56/3.25 (((~![V: $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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(565,plain,
% 4.56/3.25 (((~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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(566,plain,
% 4.56/3.25 (((~![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))))),
% 4.56/3.25 inference(monotonicity,[status(thm)],[565])).
% 4.56/3.25 tff(567,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(transitivity,[status(thm)],[566, 564])).
% 4.56/3.25 tff(568,plain,
% 4.56/3.25 ((~![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))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(569,plain,
% 4.56/3.25 ((~![V: $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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[568, 567])).
% 4.56/3.25 tff(570,plain,
% 4.56/3.25 (m_main_v_state2(s2, c_t2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[569, 563, 151, 406])).
% 4.56/3.25 tff(571,plain,
% 4.56/3.25 (((~![V: $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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(572,plain,
% 4.56/3.25 (((~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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(573,plain,
% 4.56/3.25 (((~![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))))),
% 4.56/3.25 inference(monotonicity,[status(thm)],[572])).
% 4.56/3.25 tff(574,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(transitivity,[status(thm)],[573, 571])).
% 4.56/3.25 tff(575,plain,
% 4.56/3.25 ((~![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))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(576,plain,
% 4.56/3.25 ((~![V: $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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[575, 574])).
% 4.56/3.25 tff(577,plain,
% 4.56/3.25 (m_main_v_state2(s3, c_t2)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[576, 563, 570, 553])).
% 4.56/3.25 tff(578,plain,
% 4.56/3.25 (succ(s3, s4) <=> succ(s3, s4)),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(579,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 4.56/3.25 tff(580,plain,
% 4.56/3.25 (succ(s3, s4)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[579, 578])).
% 4.56/3.25 tff(581,plain,
% 4.56/3.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(582,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(583,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[582, 581])).
% 4.56/3.25 tff(584,plain,
% 4.56/3.25 (trans(s3, s4)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[583, 580, 57])).
% 4.56/3.25 tff(585,plain,
% 4.56/3.25 (((~![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(586,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(587,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[586, 585])).
% 4.56/3.25 tff(588,plain,
% 4.56/3.25 (node7(s3, s4)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[587, 217, 584])).
% 4.56/3.25 tff(589,plain,
% 4.56/3.25 (^[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)))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(590,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[589])).
% 4.56/3.25 tff(591,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(592,plain,
% 4.56/3.25 (^[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))))),
% 4.56/3.25 inference(bind,[status(th)],[])).
% 4.56/3.25 tff(593,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(quant_intro,[status(thm)],[592])).
% 4.56/3.25 tff(594,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')).
% 4.56/3.25 tff(595,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[594, 593])).
% 4.56/3.25 tff(596,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[595, 591])).
% 4.56/3.25 tff(597,plain,(
% 4.56/3.25 ![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))),
% 4.56/3.25 inference(skolemize,[status(sab)],[596])).
% 4.56/3.25 tff(598,plain,
% 4.56/3.25 (![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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[597, 590])).
% 4.56/3.25 tff(599,plain,
% 4.56/3.25 (((~![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(600,plain,
% 4.56/3.25 ((~![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))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(601,plain,
% 4.56/3.25 ((~![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)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[600, 599])).
% 4.56/3.25 tff(602,plain,
% 4.56/3.25 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[601, 598, 588])).
% 4.56/3.25 tff(603,plain,
% 4.56/3.25 (m_main_v_state1(s4, c_t1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[602, 577, 486])).
% 4.56/3.25 tff(604,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(605,plain,
% 4.56/3.25 ((~![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)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(606,plain,
% 4.56/3.25 ((~![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))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[605, 604])).
% 4.56/3.25 tff(607,plain,
% 4.56/3.25 (~m_main_v_state1(s4, c_n1)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[606, 35, 603])).
% 4.56/3.25 tff(608,plain,
% 4.56/3.25 (((~![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)))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(609,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(610,plain,
% 4.56/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[609, 608])).
% 4.56/3.25 tff(611,plain,
% 4.56/3.25 (~node1(s4)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[610, 249, 607])).
% 4.56/3.25 tff(612,plain,
% 4.56/3.25 (((~![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))),
% 4.56/3.25 inference(rewrite,[status(thm)],[])).
% 4.56/3.25 tff(613,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 4.56/3.25 inference(quant_inst,[status(thm)],[])).
% 4.56/3.25 tff(614,plain,
% 4.56/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 4.56/3.25 inference(modus_ponens,[status(thm)],[613, 612])).
% 4.56/3.25 tff(615,plain,
% 4.56/3.25 (node18(s3, s4)),
% 4.56/3.25 inference(unit_resolution,[status(thm)],[614, 71, 584])).
% 4.56/3.26 tff(616,plain,
% 4.56/3.26 (^[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)))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(617,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[616])).
% 4.56/3.26 tff(618,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(619,plain,
% 4.56/3.26 (^[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))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(620,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[619])).
% 4.56/3.26 tff(621,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')).
% 4.56/3.26 tff(622,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[621, 620])).
% 4.56/3.26 tff(623,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[622, 618])).
% 4.56/3.26 tff(624,plain,(
% 4.56/3.26 ![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))),
% 4.56/3.26 inference(skolemize,[status(sab)],[623])).
% 4.56/3.26 tff(625,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[624, 617])).
% 4.56/3.26 tff(626,plain,
% 4.56/3.26 (((~![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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(627,plain,
% 4.56/3.26 ((~![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))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(628,plain,
% 4.56/3.26 ((~![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)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[627, 626])).
% 4.56/3.26 tff(629,plain,
% 4.56/3.26 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[628, 625, 615])).
% 4.56/3.26 tff(630,plain,
% 4.56/3.26 (m_main_v_turn(s4, c_2)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[629, 577, 486])).
% 4.56/3.26 tff(631,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(632,plain,
% 4.56/3.26 ((~![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)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(633,plain,
% 4.56/3.26 ((~![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[632, 631])).
% 4.56/3.26 tff(634,plain,
% 4.56/3.26 (~m_main_v_turn(s4, c_1)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[633, 322, 630])).
% 4.56/3.26 tff(635,plain,
% 4.56/3.26 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(636,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[635])).
% 4.56/3.26 tff(637,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(638,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_24')).
% 4.56/3.26 tff(639,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[638, 637])).
% 4.56/3.26 tff(640,plain,(
% 4.56/3.26 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 4.56/3.26 inference(skolemize,[status(sab)],[639])).
% 4.56/3.26 tff(641,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[640, 636])).
% 4.56/3.26 tff(642,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(643,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(644,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[643, 642])).
% 4.56/3.26 tff(645,plain,
% 4.56/3.26 (~node5(s4)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[644, 641, 634])).
% 4.56/3.26 tff(646,plain,
% 4.56/3.26 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(647,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[646])).
% 4.56/3.26 tff(648,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(649,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_16')).
% 4.56/3.26 tff(650,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[649, 648])).
% 4.56/3.26 tff(651,plain,(
% 4.56/3.26 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 4.56/3.26 inference(skolemize,[status(sab)],[650])).
% 4.56/3.26 tff(652,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[651, 647])).
% 4.56/3.26 tff(653,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(654,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(655,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[654, 653])).
% 4.56/3.26 tff(656,plain,
% 4.56/3.26 (~node2(s4)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[655, 652, 607])).
% 4.56/3.26 tff(657,plain,
% 4.56/3.26 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(658,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[657])).
% 4.56/3.26 tff(659,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(660,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_18')).
% 4.56/3.26 tff(661,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[660, 659])).
% 4.56/3.26 tff(662,plain,(
% 4.56/3.26 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 4.56/3.26 inference(skolemize,[status(sab)],[661])).
% 4.56/3.26 tff(663,plain,
% 4.56/3.26 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[662, 658])).
% 4.56/3.26 tff(664,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(665,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(666,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[665, 664])).
% 4.56/3.26 tff(667,plain,
% 4.56/3.26 (~node3(s4)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[666, 663, 607])).
% 4.56/3.26 tff(668,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(669,plain,
% 4.56/3.26 ((~![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)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(670,plain,
% 4.56/3.26 ((~![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[669, 668])).
% 4.56/3.26 tff(671,plain,
% 4.56/3.26 (~m_main_v_state1(s4, c_c1)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[670, 289, 603])).
% 4.56/3.26 tff(672,plain,
% 4.56/3.26 (((~![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(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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(673,plain,
% 4.56/3.26 (((~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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(674,plain,
% 4.56/3.26 (((~![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))))),
% 4.56/3.26 inference(monotonicity,[status(thm)],[673])).
% 4.56/3.26 tff(675,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(transitivity,[status(thm)],[674, 672])).
% 4.56/3.26 tff(676,plain,
% 4.56/3.26 ((~![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)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(677,plain,
% 4.56/3.26 ((~![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(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[676, 675])).
% 4.56/3.26 tff(678,plain,
% 4.56/3.26 (~m_main_v_state2(s3, c_n2)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[677, 416, 423, 553])).
% 4.56/3.26 tff(679,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(680,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(681,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[680, 679])).
% 4.56/3.26 tff(682,plain,
% 4.56/3.26 (~node9(s3)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[681, 311, 678])).
% 4.56/3.26 tff(683,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(684,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(685,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[684, 683])).
% 4.56/3.26 tff(686,plain,
% 4.56/3.26 (~node10(s3)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[685, 372, 678])).
% 4.56/3.26 tff(687,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(688,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(689,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[688, 687])).
% 4.56/3.26 tff(690,plain,
% 4.56/3.26 (~node8(s3)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[689, 383, 678])).
% 4.56/3.26 tff(691,plain,
% 4.56/3.26 (((~![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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(692,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(693,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[692, 691])).
% 4.56/3.26 tff(694,plain,
% 4.56/3.26 (node14(s3, s4)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[693, 130, 584])).
% 4.56/3.26 tff(695,plain,
% 4.56/3.26 (^[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)))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(696,plain,
% 4.56/3.26 (![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)) <=> ![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))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[695])).
% 4.56/3.26 tff(697,plain,
% 4.56/3.26 (![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)) <=> ![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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(698,plain,
% 4.56/3.26 (^[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))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(699,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[698])).
% 4.56/3.26 tff(700,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')).
% 4.56/3.26 tff(701,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[700, 699])).
% 4.56/3.26 tff(702,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[701, 697])).
% 4.56/3.26 tff(703,plain,(
% 4.56/3.26 ![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))),
% 4.56/3.26 inference(skolemize,[status(sab)],[702])).
% 4.56/3.26 tff(704,plain,
% 4.56/3.26 (![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[703, 696])).
% 4.56/3.26 tff(705,plain,
% 4.56/3.26 (((~![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(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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(706,plain,
% 4.56/3.26 ((~![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(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))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(707,plain,
% 4.56/3.26 ((~![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(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)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[706, 705])).
% 4.56/3.26 tff(708,plain,
% 4.56/3.26 ((~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)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[707, 704, 694])).
% 4.56/3.26 tff(709,plain,
% 4.56/3.26 (m_main_v_state2(s4, c_c2)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[708, 690, 486, 577, 686, 682])).
% 4.56/3.26 tff(710,plain,
% 4.56/3.26 (^[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))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(711,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[710])).
% 4.56/3.26 tff(712,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(713,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')).
% 4.56/3.26 tff(714,plain,
% 4.56/3.26 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[713, 712])).
% 4.56/3.26 tff(715,plain,(
% 4.56/3.26 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.26 inference(skolemize,[status(sab)],[714])).
% 4.56/3.26 tff(716,plain,
% 4.56/3.26 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[715, 711])).
% 4.56/3.26 tff(717,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(718,plain,
% 4.56/3.26 ((~![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)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(719,plain,
% 4.56/3.26 ((~![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))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[718, 717])).
% 4.56/3.26 tff(720,plain,
% 4.56/3.26 (~m_main_v_state2(s4, c_n2)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[719, 716, 709])).
% 4.56/3.26 tff(721,plain,
% 4.56/3.26 (((~![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(722,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(723,plain,
% 4.56/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[722, 721])).
% 4.56/3.26 tff(724,plain,
% 4.56/3.26 (~node4(s4)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[723, 162, 720])).
% 4.56/3.26 tff(725,plain,
% 4.56/3.26 (succ(s4, s5) <=> succ(s4, s5)),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(726,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 4.56/3.26 tff(727,plain,
% 4.56/3.26 (succ(s4, s5)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[726, 725])).
% 4.56/3.26 tff(728,plain,
% 4.56/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(729,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(730,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[729, 728])).
% 4.56/3.26 tff(731,plain,
% 4.56/3.26 (trans(s4, s5)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[730, 727, 57])).
% 4.56/3.26 tff(732,plain,
% 4.56/3.26 (((~![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))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(733,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 4.56/3.26 inference(quant_inst,[status(thm)],[])).
% 4.56/3.26 tff(734,plain,
% 4.56/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 4.56/3.26 inference(modus_ponens,[status(thm)],[733, 732])).
% 4.56/3.26 tff(735,plain,
% 4.56/3.26 (node7(s4, s5)),
% 4.56/3.26 inference(unit_resolution,[status(thm)],[734, 217, 731])).
% 4.56/3.26 tff(736,plain,
% 4.56/3.26 (^[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))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(737,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[736])).
% 4.56/3.26 tff(738,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.26 inference(rewrite,[status(thm)],[])).
% 4.56/3.26 tff(739,plain,
% 4.56/3.26 (^[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)))))),
% 4.56/3.26 inference(bind,[status(th)],[])).
% 4.56/3.26 tff(740,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.26 inference(quant_intro,[status(thm)],[739])).
% 4.56/3.26 tff(741,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')).
% 4.56/3.26 tff(742,plain,
% 4.56/3.26 (![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)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[741, 740])).
% 4.56/3.27 tff(743,plain,
% 4.56/3.27 (![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)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[742, 738])).
% 4.56/3.27 tff(744,plain,(
% 4.56/3.27 ![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)))),
% 4.56/3.27 inference(skolemize,[status(sab)],[743])).
% 4.56/3.27 tff(745,plain,
% 4.56/3.27 (![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)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[744, 737])).
% 4.56/3.27 tff(746,plain,
% 4.56/3.27 (((~![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(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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(747,plain,
% 4.56/3.27 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(748,plain,
% 4.56/3.27 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[747, 746])).
% 4.56/3.27 tff(749,plain,
% 4.56/3.27 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[748, 745, 735])).
% 4.56/3.27 tff(750,plain,
% 4.56/3.27 (node6(s4, s5)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[749, 724, 671, 667, 656, 645, 611])).
% 4.56/3.27 tff(751,plain,
% 4.56/3.27 (^[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)))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(752,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[751])).
% 4.56/3.27 tff(753,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(754,plain,
% 4.56/3.27 (^[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))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(755,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[754])).
% 4.56/3.27 tff(756,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')).
% 4.56/3.27 tff(757,plain,
% 4.56/3.27 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[756, 755])).
% 4.56/3.27 tff(758,plain,
% 4.56/3.27 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[757, 753])).
% 4.56/3.27 tff(759,plain,(
% 4.56/3.27 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 4.56/3.27 inference(skolemize,[status(sab)],[758])).
% 4.56/3.27 tff(760,plain,
% 4.56/3.27 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[759, 752])).
% 4.56/3.27 tff(761,plain,
% 4.56/3.27 (((~![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(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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(762,plain,
% 4.56/3.27 (((~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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(763,plain,
% 4.56/3.27 (((~![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))))),
% 4.56/3.27 inference(monotonicity,[status(thm)],[762])).
% 4.56/3.27 tff(764,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(transitivity,[status(thm)],[763, 761])).
% 4.56/3.27 tff(765,plain,
% 4.56/3.27 ((~![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))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(766,plain,
% 4.56/3.27 ((~![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(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[765, 764])).
% 4.56/3.27 tff(767,plain,
% 4.56/3.27 (m_main_v_state1(s5, c_t1)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[766, 760, 603, 750])).
% 4.56/3.27 tff(768,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(769,plain,
% 4.56/3.27 ((~![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)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(770,plain,
% 4.56/3.27 ((~![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))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[769, 768])).
% 4.56/3.27 tff(771,plain,
% 4.56/3.27 (~m_main_v_state2(s4, c_t2)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[770, 173, 709])).
% 4.56/3.27 tff(772,plain,
% 4.56/3.27 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(773,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[772])).
% 4.56/3.27 tff(774,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(775,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_43')).
% 4.56/3.27 tff(776,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[775, 774])).
% 4.56/3.27 tff(777,plain,(
% 4.56/3.27 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 4.56/3.27 inference(skolemize,[status(sab)],[776])).
% 4.56/3.27 tff(778,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[777, 773])).
% 4.56/3.27 tff(779,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(780,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(781,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[780, 779])).
% 4.56/3.27 tff(782,plain,
% 4.56/3.27 (~node12(s4)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[781, 778, 771])).
% 4.56/3.27 tff(783,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(784,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(785,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[784, 783])).
% 4.56/3.27 tff(786,plain,
% 4.56/3.27 (~node11(s4)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[785, 361, 607])).
% 4.56/3.27 tff(787,plain,
% 4.56/3.27 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(788,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[787])).
% 4.56/3.27 tff(789,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(790,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_40')).
% 4.56/3.27 tff(791,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[790, 789])).
% 4.56/3.27 tff(792,plain,(
% 4.56/3.27 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 4.56/3.27 inference(skolemize,[status(sab)],[791])).
% 4.56/3.27 tff(793,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[792, 788])).
% 4.56/3.27 tff(794,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(795,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(796,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[795, 794])).
% 4.56/3.27 tff(797,plain,
% 4.56/3.27 (~node10(s4)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[796, 793, 671])).
% 4.56/3.27 tff(798,plain,
% 4.56/3.27 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(799,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[798])).
% 4.56/3.27 tff(800,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(801,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_38')).
% 4.56/3.27 tff(802,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[801, 800])).
% 4.56/3.27 tff(803,plain,(
% 4.56/3.27 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 4.56/3.27 inference(skolemize,[status(sab)],[802])).
% 4.56/3.27 tff(804,plain,
% 4.56/3.27 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[803, 799])).
% 4.56/3.27 tff(805,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(806,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(807,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[806, 805])).
% 4.56/3.27 tff(808,plain,
% 4.56/3.27 (~node9(s4)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[807, 804, 607])).
% 4.56/3.27 tff(809,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(810,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(811,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[810, 809])).
% 4.56/3.27 tff(812,plain,
% 4.56/3.27 (~node8(s4)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[811, 383, 720])).
% 4.56/3.27 tff(813,plain,
% 4.56/3.27 (((~![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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(814,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(815,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[814, 813])).
% 4.56/3.27 tff(816,plain,
% 4.56/3.27 (node14(s4, s5)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[815, 130, 731])).
% 4.56/3.27 tff(817,plain,
% 4.56/3.27 (^[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)))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(818,plain,
% 4.56/3.27 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[817])).
% 4.56/3.27 tff(819,plain,
% 4.56/3.27 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(820,plain,
% 4.56/3.27 (^[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))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(821,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[820])).
% 4.56/3.27 tff(822,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')).
% 4.56/3.27 tff(823,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[822, 821])).
% 4.56/3.27 tff(824,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[823, 819])).
% 4.56/3.27 tff(825,plain,(
% 4.56/3.27 ![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))),
% 4.56/3.27 inference(skolemize,[status(sab)],[824])).
% 4.56/3.27 tff(826,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[825, 818])).
% 4.56/3.27 tff(827,plain,
% 4.56/3.27 (((~![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(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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(828,plain,
% 4.56/3.27 (((~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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(829,plain,
% 4.56/3.27 (((~![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(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))))),
% 4.56/3.27 inference(monotonicity,[status(thm)],[828])).
% 4.56/3.27 tff(830,plain,
% 4.56/3.27 (((~![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(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)))),
% 4.56/3.27 inference(transitivity,[status(thm)],[829, 827])).
% 4.56/3.27 tff(831,plain,
% 4.56/3.27 ((~![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(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(832,plain,
% 4.56/3.27 ((~![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(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[831, 830])).
% 4.56/3.27 tff(833,plain,
% 4.56/3.27 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[832, 826, 816])).
% 4.56/3.27 tff(834,plain,
% 4.56/3.27 (m_main_v_state2(s5, c_n2)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[833, 812, 709, 808, 797, 786, 782])).
% 4.56/3.27 tff(835,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(836,plain,
% 4.56/3.27 ((~![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)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(837,plain,
% 4.56/3.27 ((~![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))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[836, 835])).
% 4.56/3.27 tff(838,plain,
% 4.56/3.27 (~m_main_v_state2(s5, c_t2)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[837, 10, 834])).
% 4.56/3.27 tff(839,plain,
% 4.56/3.27 (((~![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)))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(840,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(841,plain,
% 4.56/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[840, 839])).
% 4.56/3.27 tff(842,plain,
% 4.56/3.27 (~node15(s5)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[841, 21, 838])).
% 4.56/3.27 tff(843,plain,
% 4.56/3.27 (succ(s5, s6) <=> succ(s5, s6)),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(844,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 4.56/3.27 tff(845,plain,
% 4.56/3.27 (succ(s5, s6)),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[844, 843])).
% 4.56/3.27 tff(846,plain,
% 4.56/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(847,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(848,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[847, 846])).
% 4.56/3.27 tff(849,plain,
% 4.56/3.27 (trans(s5, s6)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[848, 845, 57])).
% 4.56/3.27 tff(850,plain,
% 4.56/3.27 (((~![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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(851,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 4.56/3.27 inference(quant_inst,[status(thm)],[])).
% 4.56/3.27 tff(852,plain,
% 4.56/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[851, 850])).
% 4.56/3.27 tff(853,plain,
% 4.56/3.27 (node18(s5, s6)),
% 4.56/3.27 inference(unit_resolution,[status(thm)],[852, 71, 849])).
% 4.56/3.27 tff(854,plain,
% 4.56/3.27 (^[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)))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(855,plain,
% 4.56/3.27 (![Y: $i, X: $i] : ((~m_main_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))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[854])).
% 4.56/3.27 tff(856,plain,
% 4.56/3.27 (![Y: $i, X: $i] : ((~m_main_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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(857,plain,
% 4.56/3.27 (^[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))))),
% 4.56/3.27 inference(bind,[status(th)],[])).
% 4.56/3.27 tff(858,plain,
% 4.56/3.27 (![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))),
% 4.56/3.27 inference(quant_intro,[status(thm)],[857])).
% 4.56/3.27 tff(859,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')).
% 4.56/3.27 tff(860,plain,
% 4.56/3.27 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[859, 858])).
% 4.56/3.27 tff(861,plain,
% 4.56/3.27 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[860, 856])).
% 4.56/3.27 tff(862,plain,(
% 4.56/3.27 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 4.56/3.27 inference(skolemize,[status(sab)],[861])).
% 4.56/3.27 tff(863,plain,
% 4.56/3.27 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 4.56/3.27 inference(modus_ponens,[status(thm)],[862, 855])).
% 4.56/3.27 tff(864,plain,
% 4.56/3.27 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(865,plain,
% 4.56/3.27 (((~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))),
% 4.56/3.27 inference(rewrite,[status(thm)],[])).
% 4.56/3.27 tff(866,plain,
% 4.56/3.27 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.56/3.28 inference(monotonicity,[status(thm)],[865])).
% 4.56/3.28 tff(867,plain,
% 4.56/3.28 (((~![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(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))),
% 4.56/3.28 inference(transitivity,[status(thm)],[866, 864])).
% 4.56/3.28 tff(868,plain,
% 4.56/3.28 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(869,plain,
% 4.56/3.28 ((~![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(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)),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[868, 867])).
% 4.56/3.28 tff(870,plain,
% 4.56/3.28 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[869, 863, 853])).
% 4.56/3.28 tff(871,plain,
% 4.56/3.28 (m_main_v_turn(s6, c_1)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[870, 842, 834, 767])).
% 4.56/3.28 tff(872,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(873,plain,
% 4.56/3.28 ((~![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)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(874,plain,
% 4.56/3.28 ((~![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[873, 872])).
% 4.56/3.28 tff(875,plain,
% 4.56/3.28 (~m_main_v_turn(s6, c_2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[874, 322, 871])).
% 4.56/3.28 tff(876,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(877,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(878,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[877, 876])).
% 4.56/3.28 tff(879,plain,
% 4.56/3.28 (~node12(s6)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[878, 350, 875])).
% 4.56/3.28 tff(880,plain,
% 4.56/3.28 (((~![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))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(881,plain,
% 4.56/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(882,plain,
% 4.56/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[881, 880])).
% 4.56/3.28 tff(883,plain,
% 4.56/3.28 (node14(s5, s6)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[882, 130, 849])).
% 4.56/3.28 tff(884,plain,
% 4.56/3.28 (^[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)))),
% 4.56/3.28 inference(bind,[status(th)],[])).
% 4.56/3.28 tff(885,plain,
% 4.56/3.28 (![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)) <=> ![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))),
% 4.56/3.28 inference(quant_intro,[status(thm)],[884])).
% 4.56/3.28 tff(886,plain,
% 4.56/3.28 (![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)) <=> ![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))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(887,plain,
% 4.56/3.28 (^[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))))),
% 4.56/3.28 inference(bind,[status(th)],[])).
% 4.56/3.28 tff(888,plain,
% 4.56/3.28 (![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))),
% 4.56/3.28 inference(quant_intro,[status(thm)],[887])).
% 4.56/3.28 tff(889,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')).
% 4.56/3.28 tff(890,plain,
% 4.56/3.28 (![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[889, 888])).
% 4.56/3.28 tff(891,plain,
% 4.56/3.28 (![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[890, 886])).
% 4.56/3.28 tff(892,plain,(
% 4.56/3.28 ![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))),
% 4.56/3.28 inference(skolemize,[status(sab)],[891])).
% 4.56/3.28 tff(893,plain,
% 4.56/3.28 (![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[892, 885])).
% 4.56/3.28 tff(894,plain,
% 4.56/3.28 (((~![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(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))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(895,plain,
% 4.56/3.28 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(896,plain,
% 4.56/3.28 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[895, 894])).
% 4.56/3.28 tff(897,plain,
% 4.56/3.28 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[896, 893, 883])).
% 4.56/3.28 tff(898,plain,
% 4.56/3.28 (m_main_v_state2(s6, c_t2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[897, 767, 834])).
% 4.56/3.28 tff(899,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(900,plain,
% 4.56/3.28 ((~![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)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(901,plain,
% 4.56/3.28 ((~![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[900, 899])).
% 4.56/3.28 tff(902,plain,
% 4.56/3.28 (~m_main_v_state2(s6, c_n2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[901, 10, 898])).
% 4.56/3.28 tff(903,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(904,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(905,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[904, 903])).
% 4.56/3.28 tff(906,plain,
% 4.56/3.28 (~node8(s6)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[905, 383, 902])).
% 4.56/3.28 tff(907,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(908,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(909,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[908, 907])).
% 4.56/3.28 tff(910,plain,
% 4.56/3.28 (~node9(s6)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[909, 311, 902])).
% 4.56/3.28 tff(911,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(912,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(913,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[912, 911])).
% 4.56/3.28 tff(914,plain,
% 4.56/3.28 (~node10(s6)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[913, 372, 902])).
% 4.56/3.28 tff(915,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(916,plain,
% 4.56/3.28 ((~![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)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(917,plain,
% 4.56/3.28 ((~![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[916, 915])).
% 4.56/3.28 tff(918,plain,
% 4.56/3.28 (~m_main_v_state2(s6, c_c2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[917, 173, 898])).
% 4.56/3.28 tff(919,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(920,plain,
% 4.56/3.28 ((~![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)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(921,plain,
% 4.56/3.28 ((~![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))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[920, 919])).
% 4.56/3.28 tff(922,plain,
% 4.56/3.28 (~m_main_v_state2(s5, c_c2)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[921, 716, 834])).
% 4.56/3.28 tff(923,plain,
% 4.56/3.28 (((~![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(924,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 4.56/3.28 inference(quant_inst,[status(thm)],[])).
% 4.56/3.28 tff(925,plain,
% 4.56/3.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[924, 923])).
% 4.56/3.28 tff(926,plain,
% 4.56/3.28 (~node3(s5)),
% 4.56/3.28 inference(unit_resolution,[status(thm)],[925, 184, 922])).
% 4.56/3.28 tff(927,plain,
% 4.56/3.28 (^[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))))),
% 4.56/3.28 inference(bind,[status(th)],[])).
% 4.56/3.28 tff(928,plain,
% 4.56/3.28 (![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)))),
% 4.56/3.28 inference(quant_intro,[status(thm)],[927])).
% 4.56/3.28 tff(929,plain,
% 4.56/3.28 (![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)))),
% 4.56/3.28 inference(rewrite,[status(thm)],[])).
% 4.56/3.28 tff(930,plain,
% 4.56/3.28 (^[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))))),
% 4.56/3.28 inference(bind,[status(th)],[])).
% 4.56/3.28 tff(931,plain,
% 4.56/3.28 (![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)))),
% 4.56/3.28 inference(quant_intro,[status(thm)],[930])).
% 4.56/3.28 tff(932,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')).
% 4.56/3.28 tff(933,plain,
% 4.56/3.28 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 4.56/3.28 inference(modus_ponens,[status(thm)],[932, 931])).
% 4.65/3.28 tff(934,plain,
% 4.65/3.28 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[933, 929])).
% 4.65/3.28 tff(935,plain,(
% 4.65/3.28 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 4.65/3.28 inference(skolemize,[status(sab)],[934])).
% 4.65/3.28 tff(936,plain,
% 4.65/3.28 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[935, 928])).
% 4.65/3.28 tff(937,plain,
% 4.65/3.28 (((~![V: $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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(938,plain,
% 4.65/3.28 (((~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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(939,plain,
% 4.65/3.28 (((~![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))))),
% 4.65/3.28 inference(monotonicity,[status(thm)],[938])).
% 4.65/3.28 tff(940,plain,
% 4.65/3.28 (((~![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)))),
% 4.65/3.28 inference(transitivity,[status(thm)],[939, 937])).
% 4.65/3.28 tff(941,plain,
% 4.65/3.28 ((~![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)))),
% 4.65/3.28 inference(quant_inst,[status(thm)],[])).
% 4.65/3.28 tff(942,plain,
% 4.65/3.28 ((~![V: $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))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[941, 940])).
% 4.65/3.28 tff(943,plain,
% 4.65/3.28 (~m_main_v_state1(s5, c_n1)),
% 4.65/3.28 inference(unit_resolution,[status(thm)],[942, 936, 607, 750])).
% 4.65/3.28 tff(944,plain,
% 4.65/3.28 (((~![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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(945,plain,
% 4.65/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 4.65/3.28 inference(quant_inst,[status(thm)],[])).
% 4.65/3.28 tff(946,plain,
% 4.65/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[945, 944])).
% 4.65/3.28 tff(947,plain,
% 4.65/3.28 (~node2(s5)),
% 4.65/3.28 inference(unit_resolution,[status(thm)],[946, 652, 943])).
% 4.65/3.28 tff(948,plain,
% 4.65/3.28 (((~![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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(949,plain,
% 4.65/3.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 4.65/3.28 inference(quant_inst,[status(thm)],[])).
% 4.65/3.28 tff(950,plain,
% 4.65/3.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[949, 948])).
% 4.65/3.28 tff(951,plain,
% 4.65/3.28 (~node1(s5)),
% 4.65/3.28 inference(unit_resolution,[status(thm)],[950, 206, 838])).
% 4.65/3.28 tff(952,plain,
% 4.65/3.28 (((~![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))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(953,plain,
% 4.65/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 4.65/3.28 inference(quant_inst,[status(thm)],[])).
% 4.65/3.28 tff(954,plain,
% 4.65/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[953, 952])).
% 4.65/3.28 tff(955,plain,
% 4.65/3.28 (node7(s5, s6)),
% 4.65/3.28 inference(unit_resolution,[status(thm)],[954, 217, 849])).
% 4.65/3.28 tff(956,plain,
% 4.65/3.28 (^[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)))),
% 4.65/3.28 inference(bind,[status(th)],[])).
% 4.65/3.28 tff(957,plain,
% 4.65/3.28 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 4.65/3.28 inference(quant_intro,[status(thm)],[956])).
% 4.65/3.28 tff(958,plain,
% 4.65/3.28 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(959,plain,
% 4.65/3.28 (^[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))))),
% 4.65/3.28 inference(bind,[status(th)],[])).
% 4.65/3.28 tff(960,plain,
% 4.65/3.28 (![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))),
% 4.65/3.28 inference(quant_intro,[status(thm)],[959])).
% 4.65/3.28 tff(961,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')).
% 4.65/3.28 tff(962,plain,
% 4.65/3.28 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[961, 960])).
% 4.65/3.28 tff(963,plain,
% 4.65/3.28 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[962, 958])).
% 4.65/3.28 tff(964,plain,(
% 4.65/3.28 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 4.65/3.28 inference(skolemize,[status(sab)],[963])).
% 4.65/3.28 tff(965,plain,
% 4.65/3.28 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 4.65/3.28 inference(modus_ponens,[status(thm)],[964, 957])).
% 4.65/3.28 tff(966,plain,
% 4.65/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(967,plain,
% 4.65/3.28 (((~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)))),
% 4.65/3.28 inference(rewrite,[status(thm)],[])).
% 4.65/3.28 tff(968,plain,
% 4.65/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.65/3.28 inference(monotonicity,[status(thm)],[967])).
% 4.65/3.28 tff(969,plain,
% 4.65/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.65/3.29 inference(transitivity,[status(thm)],[968, 966])).
% 4.65/3.29 tff(970,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(971,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[970, 969])).
% 4.65/3.29 tff(972,plain,
% 4.65/3.29 ((~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)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[971, 965, 955])).
% 4.65/3.29 tff(973,plain,
% 4.65/3.29 (m_main_v_state1(s6, c_c1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[972, 951, 834, 767, 947, 926])).
% 4.65/3.29 tff(974,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(975,plain,
% 4.65/3.29 ((~![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)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(976,plain,
% 4.65/3.29 ((~![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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[975, 974])).
% 4.65/3.29 tff(977,plain,
% 4.65/3.29 (~m_main_v_state1(s6, c_n1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[976, 449, 973])).
% 4.65/3.29 tff(978,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(979,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(980,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[979, 978])).
% 4.65/3.29 tff(981,plain,
% 4.65/3.29 (~node11(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[980, 361, 977])).
% 4.65/3.29 tff(982,plain,
% 4.65/3.29 (succ(s6, s7) <=> succ(s6, s7)),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(983,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 4.65/3.29 tff(984,plain,
% 4.65/3.29 (succ(s6, s7)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[983, 982])).
% 4.65/3.29 tff(985,plain,
% 4.65/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(986,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(987,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[986, 985])).
% 4.65/3.29 tff(988,plain,
% 4.65/3.29 (trans(s6, s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[987, 984, 57])).
% 4.65/3.29 tff(989,plain,
% 4.65/3.29 (((~![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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(990,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(991,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[990, 989])).
% 4.65/3.29 tff(992,plain,
% 4.65/3.29 (node14(s6, s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[991, 130, 988])).
% 4.65/3.29 tff(993,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(994,plain,
% 4.65/3.29 ((~![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)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(995,plain,
% 4.65/3.29 ((~![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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[994, 993])).
% 4.65/3.29 tff(996,plain,
% 4.65/3.29 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[995, 401, 992])).
% 4.65/3.29 tff(997,plain,
% 4.65/3.29 (node13(s6, s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[996, 981, 918, 914, 910, 906, 879])).
% 4.65/3.29 tff(998,plain,
% 4.65/3.29 (((~![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(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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(999,plain,
% 4.65/3.29 (((~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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1000,plain,
% 4.65/3.29 (((~![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))))),
% 4.65/3.29 inference(monotonicity,[status(thm)],[999])).
% 4.65/3.29 tff(1001,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(transitivity,[status(thm)],[1000, 998])).
% 4.65/3.29 tff(1002,plain,
% 4.65/3.29 ((~![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)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1003,plain,
% 4.65/3.29 ((~![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(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 4.65/3.29 tff(1004,plain,
% 4.65/3.29 (~m_main_v_state2(s7, c_n2)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1003, 416, 902, 997])).
% 4.65/3.29 tff(1005,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1006,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1007,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 4.65/3.29 tff(1008,plain,
% 4.65/3.29 (~node9(s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1007, 311, 1004])).
% 4.65/3.29 tff(1009,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1010,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1011,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 4.65/3.29 tff(1012,plain,
% 4.65/3.29 (~node10(s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1011, 372, 1004])).
% 4.65/3.29 tff(1013,plain,
% 4.65/3.29 (((~![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(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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1014,plain,
% 4.65/3.29 (((~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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1015,plain,
% 4.65/3.29 (((~![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))))),
% 4.65/3.29 inference(monotonicity,[status(thm)],[1014])).
% 4.65/3.29 tff(1016,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(transitivity,[status(thm)],[1015, 1013])).
% 4.65/3.29 tff(1017,plain,
% 4.65/3.29 ((~![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))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1018,plain,
% 4.65/3.29 ((~![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(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 4.65/3.29 tff(1019,plain,
% 4.65/3.29 (m_main_v_state2(s7, c_t2)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1018, 563, 898, 997])).
% 4.65/3.29 tff(1020,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1021,plain,
% 4.65/3.29 ((~![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)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1022,plain,
% 4.65/3.29 ((~![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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 4.65/3.29 tff(1023,plain,
% 4.65/3.29 (~m_main_v_state1(s6, c_t1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1022, 289, 973])).
% 4.65/3.29 tff(1024,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1025,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1026,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 4.65/3.29 tff(1027,plain,
% 4.65/3.29 (~node5(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1026, 300, 1023])).
% 4.65/3.29 tff(1028,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1029,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1030,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 4.65/3.29 tff(1031,plain,
% 4.65/3.29 (~node4(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1030, 162, 902])).
% 4.65/3.29 tff(1032,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1033,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1034,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 4.65/3.29 tff(1035,plain,
% 4.65/3.29 (~node3(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1034, 184, 918])).
% 4.65/3.29 tff(1036,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1037,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1038,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 4.65/3.29 tff(1039,plain,
% 4.65/3.29 (~node2(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1038, 195, 902])).
% 4.65/3.29 tff(1040,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1041,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1042,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 4.65/3.29 tff(1043,plain,
% 4.65/3.29 (~node1(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1042, 249, 977])).
% 4.65/3.29 tff(1044,plain,
% 4.65/3.29 (((~![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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1045,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1046,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 4.65/3.29 tff(1047,plain,
% 4.65/3.29 (node7(s6, s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1046, 217, 988])).
% 4.65/3.29 tff(1048,plain,
% 4.65/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1049,plain,
% 4.65/3.29 (((~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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1050,plain,
% 4.65/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.65/3.29 inference(monotonicity,[status(thm)],[1049])).
% 4.65/3.29 tff(1051,plain,
% 4.65/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.65/3.29 inference(transitivity,[status(thm)],[1050, 1048])).
% 4.65/3.29 tff(1052,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1053,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 4.65/3.29 tff(1054,plain,
% 4.65/3.29 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1053, 478, 1047])).
% 4.65/3.29 tff(1055,plain,
% 4.65/3.29 (m_main_v_state1(s7, c_n1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1054, 1043, 973, 1039, 1035, 1031, 1027])).
% 4.65/3.29 tff(1056,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1057,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1058,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 4.65/3.29 tff(1059,plain,
% 4.65/3.29 (~node8(s7)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1058, 383, 1004])).
% 4.65/3.29 tff(1060,plain,
% 4.65/3.29 (succ(s7, s8) <=> succ(s7, s8)),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1061,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 4.65/3.29 tff(1062,plain,
% 4.65/3.29 (succ(s7, s8)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 4.65/3.29 tff(1063,plain,
% 4.65/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1064,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1065,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 4.65/3.29 tff(1066,plain,
% 4.65/3.29 (trans(s7, s8)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1065, 1062, 57])).
% 4.65/3.29 tff(1067,plain,
% 4.65/3.29 (((~![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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1068,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1069,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 4.65/3.29 tff(1070,plain,
% 4.65/3.29 (node14(s7, s8)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1069, 130, 1066])).
% 4.65/3.29 tff(1071,plain,
% 4.65/3.29 (((~![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(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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1072,plain,
% 4.65/3.29 ((~![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(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))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1073,plain,
% 4.65/3.29 ((~![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(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)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 4.65/3.29 tff(1074,plain,
% 4.65/3.29 ((~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)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1073, 704, 1070])).
% 4.65/3.29 tff(1075,plain,
% 4.65/3.29 (m_main_v_state2(s8, c_c2)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1074, 1059, 1055, 1019, 1012, 1008])).
% 4.65/3.29 tff(1076,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1077,plain,
% 4.65/3.29 ((~![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)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1078,plain,
% 4.65/3.29 ((~![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))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 4.65/3.29 tff(1079,plain,
% 4.65/3.29 (~m_main_v_state2(s8, c_t2)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1078, 173, 1075])).
% 4.65/3.29 tff(1080,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1081,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1082,plain,
% 4.65/3.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 4.65/3.29 tff(1083,plain,
% 4.65/3.29 (~node12(s8)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1082, 778, 1079])).
% 4.65/3.29 tff(1084,plain,
% 4.65/3.29 (((~![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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1085,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1086,plain,
% 4.65/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 4.65/3.29 tff(1087,plain,
% 4.65/3.29 (node7(s7, s8)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1086, 217, 1066])).
% 4.65/3.29 tff(1088,plain,
% 4.65/3.29 (((~![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(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))),
% 4.65/3.29 inference(rewrite,[status(thm)],[])).
% 4.65/3.29 tff(1089,plain,
% 4.65/3.29 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 4.65/3.29 inference(quant_inst,[status(thm)],[])).
% 4.65/3.29 tff(1090,plain,
% 4.65/3.29 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 4.65/3.29 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 4.65/3.29 tff(1091,plain,
% 4.65/3.29 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1090, 598, 1087])).
% 4.65/3.29 tff(1092,plain,
% 4.65/3.29 (m_main_v_state1(s8, c_t1)),
% 4.65/3.29 inference(unit_resolution,[status(thm)],[1091, 1019, 1055])).
% 4.65/3.29 tff(1093,plain,
% 4.65/3.29 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.65/3.30 tff(1094,plain,
% 4.65/3.30 ((~![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)))),
% 4.65/3.30 inference(quant_inst,[status(thm)],[])).
% 4.65/3.30 tff(1095,plain,
% 4.65/3.30 ((~![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))),
% 4.65/3.30 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 4.65/3.30 tff(1096,plain,
% 4.65/3.30 (~m_main_v_state1(s8, c_n1)),
% 4.65/3.30 inference(unit_resolution,[status(thm)],[1095, 35, 1092])).
% 4.65/3.30 tff(1097,plain,
% 4.65/3.30 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.65/3.30 tff(1098,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 4.65/3.30 inference(quant_inst,[status(thm)],[])).
% 4.65/3.30 tff(1099,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 4.65/3.30 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 4.65/3.30 tff(1100,plain,
% 4.65/3.30 (~node11(s8)),
% 4.65/3.30 inference(unit_resolution,[status(thm)],[1099, 361, 1096])).
% 4.65/3.30 tff(1101,plain,
% 4.65/3.30 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.65/3.30 tff(1102,plain,
% 4.65/3.30 ((~![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)))),
% 4.65/3.30 inference(quant_inst,[status(thm)],[])).
% 4.65/3.30 tff(1103,plain,
% 4.65/3.30 ((~![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))),
% 4.65/3.30 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 4.65/3.30 tff(1104,plain,
% 4.65/3.30 (~m_main_v_state1(s8, c_c1)),
% 4.65/3.30 inference(unit_resolution,[status(thm)],[1103, 289, 1092])).
% 4.65/3.30 tff(1105,plain,
% 4.65/3.30 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.65/3.30 tff(1106,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 4.65/3.30 inference(quant_inst,[status(thm)],[])).
% 4.65/3.30 tff(1107,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 4.65/3.30 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 4.65/3.30 tff(1108,plain,
% 4.65/3.30 (~node10(s8)),
% 4.65/3.30 inference(unit_resolution,[status(thm)],[1107, 793, 1104])).
% 4.65/3.30 tff(1109,plain,
% 4.65/3.30 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.65/3.30 tff(1110,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 4.65/3.30 inference(quant_inst,[status(thm)],[])).
% 4.65/3.30 tff(1111,plain,
% 4.65/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 4.65/3.30 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 4.65/3.30 tff(1112,plain,
% 4.65/3.30 (~node9(s8)),
% 4.65/3.30 inference(unit_resolution,[status(thm)],[1111, 804, 1096])).
% 4.65/3.30 tff(1113,plain,
% 4.65/3.30 (((~![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)))),
% 4.65/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1114,plain,
% 4.66/3.30 ((~![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)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1115,plain,
% 4.66/3.30 ((~![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))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 4.66/3.30 tff(1116,plain,
% 4.66/3.30 (~m_main_v_state2(s8, c_n2)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1115, 716, 1075])).
% 4.66/3.30 tff(1117,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1118,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1119,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 4.66/3.30 tff(1120,plain,
% 4.66/3.30 (~node8(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1119, 383, 1116])).
% 4.66/3.30 tff(1121,plain,
% 4.66/3.30 (succ(s8, s9) <=> succ(s8, s9)),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1122,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 4.66/3.30 tff(1123,plain,
% 4.66/3.30 (succ(s8, s9)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 4.66/3.30 tff(1124,plain,
% 4.66/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1125,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1126,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 4.66/3.30 tff(1127,plain,
% 4.66/3.30 (trans(s8, s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1126, 1123, 57])).
% 4.66/3.30 tff(1128,plain,
% 4.66/3.30 (((~![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))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1129,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1130,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 4.66/3.30 tff(1131,plain,
% 4.66/3.30 (node14(s8, s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1130, 130, 1127])).
% 4.66/3.30 tff(1132,plain,
% 4.66/3.30 (((~![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(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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1133,plain,
% 4.66/3.30 (((~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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1134,plain,
% 4.66/3.30 (((~![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(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))))),
% 4.66/3.30 inference(monotonicity,[status(thm)],[1133])).
% 4.66/3.30 tff(1135,plain,
% 4.66/3.30 (((~![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(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)))),
% 4.66/3.30 inference(transitivity,[status(thm)],[1134, 1132])).
% 4.66/3.30 tff(1136,plain,
% 4.66/3.30 ((~![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(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1137,plain,
% 4.66/3.30 ((~![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(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 4.66/3.30 tff(1138,plain,
% 4.66/3.30 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1137, 826, 1131])).
% 4.66/3.30 tff(1139,plain,
% 4.66/3.30 (m_main_v_state2(s9, c_n2)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1138, 1120, 1075, 1112, 1108, 1100, 1083])).
% 4.66/3.30 tff(1140,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1141,plain,
% 4.66/3.30 ((~![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)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1142,plain,
% 4.66/3.30 ((~![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))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 4.66/3.30 tff(1143,plain,
% 4.66/3.30 (~m_main_v_state2(s9, c_c2)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1142, 716, 1139])).
% 4.66/3.30 tff(1144,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1145,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1146,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 4.66/3.30 tff(1147,plain,
% 4.66/3.30 (~node3(s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1146, 184, 1143])).
% 4.66/3.30 tff(1148,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1149,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1150,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 4.66/3.30 tff(1151,plain,
% 4.66/3.30 (~node1(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1150, 249, 1096])).
% 4.66/3.30 tff(1152,plain,
% 4.66/3.30 (((~![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))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1153,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1154,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 4.66/3.30 tff(1155,plain,
% 4.66/3.30 (node18(s7, s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1154, 71, 1066])).
% 4.66/3.30 tff(1156,plain,
% 4.66/3.30 (((~![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))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1157,plain,
% 4.66/3.30 ((~![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))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1158,plain,
% 4.66/3.30 ((~![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)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 4.66/3.30 tff(1159,plain,
% 4.66/3.30 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1158, 625, 1155])).
% 4.66/3.30 tff(1160,plain,
% 4.66/3.30 (m_main_v_turn(s8, c_2)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1159, 1019, 1055])).
% 4.66/3.30 tff(1161,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1162,plain,
% 4.66/3.30 ((~![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)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1163,plain,
% 4.66/3.30 ((~![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))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 4.66/3.30 tff(1164,plain,
% 4.66/3.30 (~m_main_v_turn(s8, c_1)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1163, 322, 1160])).
% 4.66/3.30 tff(1165,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1166,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1167,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 4.66/3.30 tff(1168,plain,
% 4.66/3.30 (~node5(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1167, 641, 1164])).
% 4.66/3.30 tff(1169,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1170,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1171,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 4.66/3.30 tff(1172,plain,
% 4.66/3.30 (~node2(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1171, 652, 1096])).
% 4.66/3.30 tff(1173,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1174,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1175,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 4.66/3.30 tff(1176,plain,
% 4.66/3.30 (~node3(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1175, 663, 1096])).
% 4.66/3.30 tff(1177,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1178,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1179,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 4.66/3.30 tff(1180,plain,
% 4.66/3.30 (~node4(s8)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1179, 162, 1116])).
% 4.66/3.30 tff(1181,plain,
% 4.66/3.30 (((~![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))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1182,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1183,plain,
% 4.66/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 4.66/3.30 tff(1184,plain,
% 4.66/3.30 (node7(s8, s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1183, 217, 1127])).
% 4.66/3.30 tff(1185,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1186,plain,
% 4.66/3.30 ((~![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)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1187,plain,
% 4.66/3.30 ((~![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))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 4.66/3.30 tff(1188,plain,
% 4.66/3.30 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1187, 745, 1184])).
% 4.66/3.30 tff(1189,plain,
% 4.66/3.30 (node6(s8, s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1188, 1180, 1104, 1176, 1172, 1168, 1151])).
% 4.66/3.30 tff(1190,plain,
% 4.66/3.30 (((~![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(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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1191,plain,
% 4.66/3.30 (((~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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1192,plain,
% 4.66/3.30 (((~![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))))),
% 4.66/3.30 inference(monotonicity,[status(thm)],[1191])).
% 4.66/3.30 tff(1193,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(transitivity,[status(thm)],[1192, 1190])).
% 4.66/3.30 tff(1194,plain,
% 4.66/3.30 ((~![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)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1195,plain,
% 4.66/3.30 ((~![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(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 4.66/3.30 tff(1196,plain,
% 4.66/3.30 (~m_main_v_state1(s9, c_n1)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1195, 936, 1096, 1189])).
% 4.66/3.30 tff(1197,plain,
% 4.66/3.30 (((~![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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1198,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 4.66/3.30 inference(quant_inst,[status(thm)],[])).
% 4.66/3.30 tff(1199,plain,
% 4.66/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 4.66/3.30 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 4.66/3.30 tff(1200,plain,
% 4.66/3.30 (~node2(s9)),
% 4.66/3.30 inference(unit_resolution,[status(thm)],[1199, 652, 1196])).
% 4.66/3.30 tff(1201,plain,
% 4.66/3.30 (((~![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(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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1202,plain,
% 4.66/3.30 (((~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)))),
% 4.66/3.30 inference(rewrite,[status(thm)],[])).
% 4.66/3.30 tff(1203,plain,
% 4.66/3.30 (((~![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))))),
% 4.66/3.31 inference(monotonicity,[status(thm)],[1202])).
% 4.66/3.31 tff(1204,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(transitivity,[status(thm)],[1203, 1201])).
% 4.66/3.31 tff(1205,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1206,plain,
% 4.66/3.31 ((~![V: $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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 4.66/3.31 tff(1207,plain,
% 4.66/3.31 (m_main_v_state1(s9, c_t1)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1206, 760, 1092, 1189])).
% 4.66/3.31 tff(1208,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1209,plain,
% 4.66/3.31 ((~![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)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1210,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 4.66/3.31 tff(1211,plain,
% 4.66/3.31 (~m_main_v_state2(s9, c_t2)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1210, 10, 1139])).
% 4.66/3.31 tff(1212,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1213,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1214,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 4.66/3.31 tff(1215,plain,
% 4.66/3.31 (~node1(s9)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1214, 206, 1211])).
% 4.66/3.31 tff(1216,plain,
% 4.66/3.31 (succ(s9, s10) <=> succ(s9, s10)),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1217,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 4.66/3.31 tff(1218,plain,
% 4.66/3.31 (succ(s9, s10)),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 4.66/3.31 tff(1219,plain,
% 4.66/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1220,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1221,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 4.66/3.31 tff(1222,plain,
% 4.66/3.31 (trans(s9, s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1221, 1218, 57])).
% 4.66/3.31 tff(1223,plain,
% 4.66/3.31 (((~![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))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1224,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1225,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 4.66/3.31 tff(1226,plain,
% 4.66/3.31 (node7(s9, s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1225, 217, 1222])).
% 4.66/3.31 tff(1227,plain,
% 4.66/3.31 (((~![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(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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1228,plain,
% 4.66/3.31 (((~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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1229,plain,
% 4.66/3.31 (((~![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(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))))),
% 4.66/3.31 inference(monotonicity,[status(thm)],[1228])).
% 4.66/3.31 tff(1230,plain,
% 4.66/3.31 (((~![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(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)))),
% 4.66/3.31 inference(transitivity,[status(thm)],[1229, 1227])).
% 4.66/3.31 tff(1231,plain,
% 4.66/3.31 ((~![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(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))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1232,plain,
% 4.66/3.31 ((~![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(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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 4.66/3.31 tff(1233,plain,
% 4.66/3.31 ((~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)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1232, 965, 1226])).
% 4.66/3.31 tff(1234,plain,
% 4.66/3.31 (m_main_v_state1(s10, c_c1)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1233, 1215, 1139, 1207, 1200, 1147])).
% 4.66/3.31 tff(1235,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1236,plain,
% 4.66/3.31 ((~![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)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1237,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 4.66/3.31 tff(1238,plain,
% 4.66/3.31 (~m_main_v_state1(s10, c_t1)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1237, 289, 1234])).
% 4.66/3.31 tff(1239,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1240,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1241,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 4.66/3.31 tff(1242,plain,
% 4.66/3.31 (~node5(s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1241, 300, 1238])).
% 4.66/3.31 tff(1243,plain,
% 4.66/3.31 (((~![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))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1244,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1245,plain,
% 4.66/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 4.66/3.31 tff(1246,plain,
% 4.66/3.31 (node14(s9, s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1245, 130, 1222])).
% 4.66/3.31 tff(1247,plain,
% 4.66/3.31 (((~![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))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1248,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1249,plain,
% 4.66/3.31 ((~![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)),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 4.66/3.31 tff(1250,plain,
% 4.66/3.31 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1249, 893, 1246])).
% 4.66/3.31 tff(1251,plain,
% 4.66/3.31 (m_main_v_state2(s10, c_t2)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1250, 1207, 1139])).
% 4.66/3.31 tff(1252,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1253,plain,
% 4.66/3.31 ((~![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)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1254,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 4.66/3.31 tff(1255,plain,
% 4.66/3.31 (~m_main_v_state2(s10, c_n2)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1254, 10, 1251])).
% 4.66/3.31 tff(1256,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1257,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1258,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 4.66/3.31 tff(1259,plain,
% 4.66/3.31 (~node4(s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1258, 162, 1255])).
% 4.66/3.31 tff(1260,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1261,plain,
% 4.66/3.31 ((~![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)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1262,plain,
% 4.66/3.31 ((~![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))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 4.66/3.31 tff(1263,plain,
% 4.66/3.31 (~m_main_v_state2(s10, c_c2)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1262, 173, 1251])).
% 4.66/3.31 tff(1264,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1265,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1266,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 4.66/3.31 tff(1267,plain,
% 4.66/3.31 (~node3(s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1266, 184, 1263])).
% 4.66/3.31 tff(1268,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1269,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1270,plain,
% 4.66/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 4.66/3.31 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 4.66/3.31 tff(1271,plain,
% 4.66/3.31 (~node2(s10)),
% 4.66/3.31 inference(unit_resolution,[status(thm)],[1270, 195, 1255])).
% 4.66/3.31 tff(1272,plain,
% 4.66/3.31 (((~![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)))),
% 4.66/3.31 inference(rewrite,[status(thm)],[])).
% 4.66/3.31 tff(1273,plain,
% 4.66/3.31 ((~![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)))),
% 4.66/3.31 inference(quant_inst,[status(thm)],[])).
% 4.66/3.31 tff(1274,plain,
% 4.66/3.31 ((~![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))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 4.68/3.31 tff(1275,plain,
% 4.68/3.31 (~m_main_v_state1(s10, c_n1)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1274, 449, 1234])).
% 4.68/3.31 tff(1276,plain,
% 4.68/3.31 (((~![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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1277,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1278,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 4.68/3.31 tff(1279,plain,
% 4.68/3.31 (~node1(s10)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1278, 249, 1275])).
% 4.68/3.31 tff(1280,plain,
% 4.68/3.31 (succ(s10, s11) <=> succ(s10, s11)),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1281,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 4.68/3.31 tff(1282,plain,
% 4.68/3.31 (succ(s10, s11)),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 4.68/3.31 tff(1283,plain,
% 4.68/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1284,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1285,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 4.68/3.31 tff(1286,plain,
% 4.68/3.31 (trans(s10, s11)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1285, 1282, 57])).
% 4.68/3.31 tff(1287,plain,
% 4.68/3.31 (((~![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))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1288,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1289,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 4.68/3.31 tff(1290,plain,
% 4.68/3.31 (node7(s10, s11)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1289, 217, 1286])).
% 4.68/3.31 tff(1291,plain,
% 4.68/3.31 (((~![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(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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1292,plain,
% 4.68/3.31 (((~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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1293,plain,
% 4.68/3.31 (((~![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(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))))),
% 4.68/3.31 inference(monotonicity,[status(thm)],[1292])).
% 4.68/3.31 tff(1294,plain,
% 4.68/3.31 (((~![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(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)))),
% 4.68/3.31 inference(transitivity,[status(thm)],[1293, 1291])).
% 4.68/3.31 tff(1295,plain,
% 4.68/3.31 ((~![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(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1296,plain,
% 4.68/3.31 ((~![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(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 4.68/3.31 tff(1297,plain,
% 4.68/3.31 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1296, 478, 1290])).
% 4.68/3.31 tff(1298,plain,
% 4.68/3.31 (m_main_v_state1(s11, c_n1)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1297, 1279, 1234, 1271, 1267, 1259, 1242])).
% 4.68/3.31 tff(1299,plain,
% 4.68/3.31 (((~![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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1300,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1301,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 4.68/3.31 tff(1302,plain,
% 4.68/3.31 (~node15(s9)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1301, 21, 1211])).
% 4.68/3.31 tff(1303,plain,
% 4.68/3.31 (((~![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))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1304,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1305,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 4.68/3.31 tff(1306,plain,
% 4.68/3.31 (node18(s9, s10)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1305, 71, 1222])).
% 4.68/3.31 tff(1307,plain,
% 4.68/3.31 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1308,plain,
% 4.68/3.31 (((~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))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1309,plain,
% 4.68/3.31 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.68/3.31 inference(monotonicity,[status(thm)],[1308])).
% 4.68/3.31 tff(1310,plain,
% 4.68/3.31 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.31 inference(transitivity,[status(thm)],[1309, 1307])).
% 4.68/3.31 tff(1311,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1312,plain,
% 4.68/3.31 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 4.68/3.31 tff(1313,plain,
% 4.68/3.31 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1312, 863, 1306])).
% 4.68/3.31 tff(1314,plain,
% 4.68/3.31 (m_main_v_turn(s10, c_1)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1313, 1302, 1139, 1207])).
% 4.68/3.31 tff(1315,plain,
% 4.68/3.31 (((~![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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1316,plain,
% 4.68/3.31 ((~![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)))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1317,plain,
% 4.68/3.31 ((~![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))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 4.68/3.31 tff(1318,plain,
% 4.68/3.31 (~m_main_v_turn(s10, c_2)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1317, 322, 1314])).
% 4.68/3.31 tff(1319,plain,
% 4.68/3.31 (((~![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)))),
% 4.68/3.31 inference(rewrite,[status(thm)],[])).
% 4.68/3.31 tff(1320,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 4.68/3.31 inference(quant_inst,[status(thm)],[])).
% 4.68/3.31 tff(1321,plain,
% 4.68/3.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 4.68/3.31 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 4.68/3.31 tff(1322,plain,
% 4.68/3.31 (~node12(s10)),
% 4.68/3.31 inference(unit_resolution,[status(thm)],[1321, 350, 1318])).
% 4.68/3.31 tff(1323,plain,
% 4.68/3.31 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1324,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1325,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 4.68/3.32 tff(1326,plain,
% 4.68/3.32 (~node8(s10)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1325, 383, 1255])).
% 4.68/3.32 tff(1327,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1328,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1329,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 4.68/3.32 tff(1330,plain,
% 4.68/3.32 (~node9(s10)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1329, 311, 1255])).
% 4.68/3.32 tff(1331,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1332,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1333,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 4.68/3.32 tff(1334,plain,
% 4.68/3.32 (~node10(s10)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1333, 372, 1255])).
% 4.68/3.32 tff(1335,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1336,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1337,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 4.68/3.32 tff(1338,plain,
% 4.68/3.32 (~node11(s10)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1337, 361, 1275])).
% 4.68/3.32 tff(1339,plain,
% 4.68/3.32 (((~![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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1340,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1341,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 4.68/3.32 tff(1342,plain,
% 4.68/3.32 (node14(s10, s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1341, 130, 1286])).
% 4.68/3.32 tff(1343,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1344,plain,
% 4.68/3.32 ((~![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)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1345,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 4.68/3.32 tff(1346,plain,
% 4.68/3.32 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1345, 401, 1342])).
% 4.68/3.32 tff(1347,plain,
% 4.68/3.32 (node13(s10, s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1346, 1338, 1263, 1334, 1330, 1326, 1322])).
% 4.68/3.32 tff(1348,plain,
% 4.68/3.32 (((~![V: $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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1349,plain,
% 4.68/3.32 (((~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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1350,plain,
% 4.68/3.32 (((~![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))))),
% 4.68/3.32 inference(monotonicity,[status(thm)],[1349])).
% 4.68/3.32 tff(1351,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(transitivity,[status(thm)],[1350, 1348])).
% 4.68/3.32 tff(1352,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1353,plain,
% 4.68/3.32 ((~![V: $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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 4.68/3.32 tff(1354,plain,
% 4.68/3.32 (m_main_v_state2(s11, c_t2)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1353, 563, 1251, 1347])).
% 4.68/3.32 tff(1355,plain,
% 4.68/3.32 (succ(s11, s12) <=> succ(s11, s12)),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1356,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 4.68/3.32 tff(1357,plain,
% 4.68/3.32 (succ(s11, s12)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 4.68/3.32 tff(1358,plain,
% 4.68/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1359,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1360,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 4.68/3.32 tff(1361,plain,
% 4.68/3.32 (trans(s11, s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1360, 1357, 57])).
% 4.68/3.32 tff(1362,plain,
% 4.68/3.32 (((~![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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1363,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1364,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 4.68/3.32 tff(1365,plain,
% 4.68/3.32 (node7(s11, s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1364, 217, 1361])).
% 4.68/3.32 tff(1366,plain,
% 4.68/3.32 (((~![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(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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1367,plain,
% 4.68/3.32 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1368,plain,
% 4.68/3.32 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 4.68/3.32 tff(1369,plain,
% 4.68/3.32 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1368, 598, 1365])).
% 4.68/3.32 tff(1370,plain,
% 4.68/3.32 (m_main_v_state1(s12, c_t1)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1369, 1354, 1298])).
% 4.68/3.32 tff(1371,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1372,plain,
% 4.68/3.32 ((~![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)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1373,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 4.68/3.32 tff(1374,plain,
% 4.68/3.32 (~m_main_v_state1(s12, c_n1)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1373, 35, 1370])).
% 4.68/3.32 tff(1375,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1376,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1377,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 4.68/3.32 tff(1378,plain,
% 4.68/3.32 (~node1(s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1377, 249, 1374])).
% 4.68/3.32 tff(1379,plain,
% 4.68/3.32 (((~![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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1380,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1381,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 4.68/3.32 tff(1382,plain,
% 4.68/3.32 (node18(s11, s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1381, 71, 1361])).
% 4.68/3.32 tff(1383,plain,
% 4.68/3.32 (((~![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(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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1384,plain,
% 4.68/3.32 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1385,plain,
% 4.68/3.32 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 4.68/3.32 tff(1386,plain,
% 4.68/3.32 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1385, 625, 1382])).
% 4.68/3.32 tff(1387,plain,
% 4.68/3.32 (m_main_v_turn(s12, c_2)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1386, 1354, 1298])).
% 4.68/3.32 tff(1388,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1389,plain,
% 4.68/3.32 ((~![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)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1390,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 4.68/3.32 tff(1391,plain,
% 4.68/3.32 (~m_main_v_turn(s12, c_1)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1390, 322, 1387])).
% 4.68/3.32 tff(1392,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1393,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1394,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 4.68/3.32 tff(1395,plain,
% 4.68/3.32 (~node5(s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1394, 641, 1391])).
% 4.68/3.32 tff(1396,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1397,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1398,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 4.68/3.32 tff(1399,plain,
% 4.68/3.32 (~node2(s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1398, 652, 1374])).
% 4.68/3.32 tff(1400,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1401,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1402,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 4.68/3.32 tff(1403,plain,
% 4.68/3.32 (~node3(s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1402, 663, 1374])).
% 4.68/3.32 tff(1404,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1405,plain,
% 4.68/3.32 ((~![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)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1406,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 4.68/3.32 tff(1407,plain,
% 4.68/3.32 (~m_main_v_state1(s12, c_c1)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1406, 289, 1370])).
% 4.68/3.32 tff(1408,plain,
% 4.68/3.32 (((~![V: $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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1409,plain,
% 4.68/3.32 (((~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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1410,plain,
% 4.68/3.32 (((~![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))))),
% 4.68/3.32 inference(monotonicity,[status(thm)],[1409])).
% 4.68/3.32 tff(1411,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(transitivity,[status(thm)],[1410, 1408])).
% 4.68/3.32 tff(1412,plain,
% 4.68/3.32 ((~![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)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1413,plain,
% 4.68/3.32 ((~![V: $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))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 4.68/3.32 tff(1414,plain,
% 4.68/3.32 (~m_main_v_state2(s11, c_n2)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1413, 416, 1255, 1347])).
% 4.68/3.32 tff(1415,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1416,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1417,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 4.68/3.32 tff(1418,plain,
% 4.68/3.32 (~node9(s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1417, 311, 1414])).
% 4.68/3.32 tff(1419,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1420,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1421,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 4.68/3.32 tff(1422,plain,
% 4.68/3.32 (~node10(s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1421, 372, 1414])).
% 4.68/3.32 tff(1423,plain,
% 4.68/3.32 (((~![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)))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1424,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1425,plain,
% 4.68/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 4.68/3.32 tff(1426,plain,
% 4.68/3.32 (~node8(s11)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1425, 383, 1414])).
% 4.68/3.32 tff(1427,plain,
% 4.68/3.32 (((~![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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1428,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1429,plain,
% 4.68/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 4.68/3.32 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 4.68/3.32 tff(1430,plain,
% 4.68/3.32 (node14(s11, s12)),
% 4.68/3.32 inference(unit_resolution,[status(thm)],[1429, 130, 1361])).
% 4.68/3.32 tff(1431,plain,
% 4.68/3.32 (((~![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))),
% 4.68/3.32 inference(rewrite,[status(thm)],[])).
% 4.68/3.32 tff(1432,plain,
% 4.68/3.32 ((~![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))),
% 4.68/3.32 inference(quant_inst,[status(thm)],[])).
% 4.68/3.32 tff(1433,plain,
% 4.68/3.32 ((~![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)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 4.68/3.33 tff(1434,plain,
% 4.68/3.33 ((~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)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1433, 704, 1430])).
% 4.68/3.33 tff(1435,plain,
% 4.68/3.33 (m_main_v_state2(s12, c_c2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1434, 1426, 1298, 1354, 1422, 1418])).
% 4.68/3.33 tff(1436,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1437,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1438,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 4.68/3.33 tff(1439,plain,
% 4.68/3.33 (~m_main_v_state2(s12, c_n2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1438, 716, 1435])).
% 4.68/3.33 tff(1440,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1441,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1442,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 4.68/3.33 tff(1443,plain,
% 4.68/3.33 (~node4(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1442, 162, 1439])).
% 4.68/3.33 tff(1444,plain,
% 4.68/3.33 (succ(s12, s13) <=> succ(s12, s13)),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1445,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 4.68/3.33 tff(1446,plain,
% 4.68/3.33 (succ(s12, s13)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 4.68/3.33 tff(1447,plain,
% 4.68/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1448,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1449,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 4.68/3.33 tff(1450,plain,
% 4.68/3.33 (trans(s12, s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1449, 1446, 57])).
% 4.68/3.33 tff(1451,plain,
% 4.68/3.33 (((~![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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1452,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1453,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 4.68/3.33 tff(1454,plain,
% 4.68/3.33 (node7(s12, s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1453, 217, 1450])).
% 4.68/3.33 tff(1455,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1456,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1457,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 4.68/3.33 tff(1458,plain,
% 4.68/3.33 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1457, 745, 1454])).
% 4.68/3.33 tff(1459,plain,
% 4.68/3.33 (node6(s12, s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1458, 1443, 1407, 1403, 1399, 1395, 1378])).
% 4.68/3.33 tff(1460,plain,
% 4.68/3.33 (((~![V: $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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1461,plain,
% 4.68/3.33 (((~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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1462,plain,
% 4.68/3.33 (((~![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))))),
% 4.68/3.33 inference(monotonicity,[status(thm)],[1461])).
% 4.68/3.33 tff(1463,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(transitivity,[status(thm)],[1462, 1460])).
% 4.68/3.33 tff(1464,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1465,plain,
% 4.68/3.33 ((~![V: $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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 4.68/3.33 tff(1466,plain,
% 4.68/3.33 (m_main_v_state1(s13, c_t1)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1465, 760, 1370, 1459])).
% 4.68/3.33 tff(1467,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1468,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1469,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 4.68/3.33 tff(1470,plain,
% 4.68/3.33 (~m_main_v_state2(s12, c_t2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1469, 173, 1435])).
% 4.68/3.33 tff(1471,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1472,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1473,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 4.68/3.33 tff(1474,plain,
% 4.68/3.33 (~node12(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1473, 778, 1470])).
% 4.68/3.33 tff(1475,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1476,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1477,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 4.68/3.33 tff(1478,plain,
% 4.68/3.33 (~node11(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1477, 361, 1374])).
% 4.68/3.33 tff(1479,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1480,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1481,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 4.68/3.33 tff(1482,plain,
% 4.68/3.33 (~node10(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1481, 793, 1407])).
% 4.68/3.33 tff(1483,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1484,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1485,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 4.68/3.33 tff(1486,plain,
% 4.68/3.33 (~node9(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1485, 804, 1374])).
% 4.68/3.33 tff(1487,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1488,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1489,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 4.68/3.33 tff(1490,plain,
% 4.68/3.33 (~node8(s12)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1489, 383, 1439])).
% 4.68/3.33 tff(1491,plain,
% 4.68/3.33 (((~![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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1492,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1493,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 4.68/3.33 tff(1494,plain,
% 4.68/3.33 (node14(s12, s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1493, 130, 1450])).
% 4.68/3.33 tff(1495,plain,
% 4.68/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1496,plain,
% 4.68/3.33 (((~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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1497,plain,
% 4.68/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.68/3.33 inference(monotonicity,[status(thm)],[1496])).
% 4.68/3.33 tff(1498,plain,
% 4.68/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.33 inference(transitivity,[status(thm)],[1497, 1495])).
% 4.68/3.33 tff(1499,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1500,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 4.68/3.33 tff(1501,plain,
% 4.68/3.33 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1500, 826, 1494])).
% 4.68/3.33 tff(1502,plain,
% 4.68/3.33 (m_main_v_state2(s13, c_n2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1501, 1490, 1435, 1486, 1482, 1478, 1474])).
% 4.68/3.33 tff(1503,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1504,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1505,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 4.68/3.33 tff(1506,plain,
% 4.68/3.33 (~m_main_v_state2(s13, c_t2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1505, 10, 1502])).
% 4.68/3.33 tff(1507,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1508,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1509,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 4.68/3.33 tff(1510,plain,
% 4.68/3.33 (~node15(s13)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1509, 21, 1506])).
% 4.68/3.33 tff(1511,plain,
% 4.68/3.33 (succ(s13, s14) <=> succ(s13, s14)),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1512,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 4.68/3.33 tff(1513,plain,
% 4.68/3.33 (succ(s13, s14)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 4.68/3.33 tff(1514,plain,
% 4.68/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1515,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1516,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 4.68/3.33 tff(1517,plain,
% 4.68/3.33 (trans(s13, s14)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1516, 1513, 57])).
% 4.68/3.33 tff(1518,plain,
% 4.68/3.33 (((~![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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1519,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1520,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 4.68/3.33 tff(1521,plain,
% 4.68/3.33 (node18(s13, s14)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1520, 71, 1517])).
% 4.68/3.33 tff(1522,plain,
% 4.68/3.33 (((~![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(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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1523,plain,
% 4.68/3.33 (((~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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1524,plain,
% 4.68/3.33 (((~![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(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)))),
% 4.68/3.33 inference(monotonicity,[status(thm)],[1523])).
% 4.68/3.33 tff(1525,plain,
% 4.68/3.33 (((~![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(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))),
% 4.68/3.33 inference(transitivity,[status(thm)],[1524, 1522])).
% 4.68/3.33 tff(1526,plain,
% 4.68/3.33 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1527,plain,
% 4.68/3.33 ((~![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(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)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 4.68/3.33 tff(1528,plain,
% 4.68/3.33 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1527, 863, 1521])).
% 4.68/3.33 tff(1529,plain,
% 4.68/3.33 (m_main_v_turn(s14, c_1)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1528, 1510, 1502, 1466])).
% 4.68/3.33 tff(1530,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1531,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1532,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 4.68/3.33 tff(1533,plain,
% 4.68/3.33 (~m_main_v_turn(s14, c_2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1532, 322, 1529])).
% 4.68/3.33 tff(1534,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1535,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1536,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 4.68/3.33 tff(1537,plain,
% 4.68/3.33 (~node12(s14)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1536, 350, 1533])).
% 4.68/3.33 tff(1538,plain,
% 4.68/3.33 (((~![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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1539,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1540,plain,
% 4.68/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 4.68/3.33 tff(1541,plain,
% 4.68/3.33 (node14(s13, s14)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1540, 130, 1517])).
% 4.68/3.33 tff(1542,plain,
% 4.68/3.33 (((~![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(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))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1543,plain,
% 4.68/3.33 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1544,plain,
% 4.68/3.33 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 4.68/3.33 tff(1545,plain,
% 4.68/3.33 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1544, 893, 1541])).
% 4.68/3.33 tff(1546,plain,
% 4.68/3.33 (m_main_v_state2(s14, c_t2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1545, 1466, 1502])).
% 4.68/3.33 tff(1547,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1548,plain,
% 4.68/3.33 ((~![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)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1549,plain,
% 4.68/3.33 ((~![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))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 4.68/3.33 tff(1550,plain,
% 4.68/3.33 (~m_main_v_state2(s14, c_n2)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1549, 10, 1546])).
% 4.68/3.33 tff(1551,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1552,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 4.68/3.33 inference(quant_inst,[status(thm)],[])).
% 4.68/3.33 tff(1553,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 4.68/3.33 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 4.68/3.33 tff(1554,plain,
% 4.68/3.33 (~node8(s14)),
% 4.68/3.33 inference(unit_resolution,[status(thm)],[1553, 383, 1550])).
% 4.68/3.33 tff(1555,plain,
% 4.68/3.33 (((~![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)))),
% 4.68/3.33 inference(rewrite,[status(thm)],[])).
% 4.68/3.33 tff(1556,plain,
% 4.68/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1557,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 4.68/3.34 tff(1558,plain,
% 4.68/3.34 (~node9(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1557, 311, 1550])).
% 4.68/3.34 tff(1559,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1560,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1561,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 4.68/3.34 tff(1562,plain,
% 4.68/3.34 (~node10(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1561, 372, 1550])).
% 4.68/3.34 tff(1563,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1564,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1565,plain,
% 4.68/3.34 ((~![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))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 4.68/3.34 tff(1566,plain,
% 4.68/3.34 (~m_main_v_state2(s14, c_c2)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1565, 173, 1546])).
% 4.68/3.34 tff(1567,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1568,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1569,plain,
% 4.68/3.34 ((~![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))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 4.68/3.34 tff(1570,plain,
% 4.68/3.34 (~m_main_v_state2(s13, c_c2)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1569, 716, 1502])).
% 4.68/3.34 tff(1571,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1572,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1573,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 4.68/3.34 tff(1574,plain,
% 4.68/3.34 (~node3(s13)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1573, 184, 1570])).
% 4.68/3.34 tff(1575,plain,
% 4.68/3.34 (((~![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(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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1576,plain,
% 4.68/3.34 (((~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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1577,plain,
% 4.68/3.34 (((~![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))))),
% 4.68/3.34 inference(monotonicity,[status(thm)],[1576])).
% 4.68/3.34 tff(1578,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(transitivity,[status(thm)],[1577, 1575])).
% 4.68/3.34 tff(1579,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1580,plain,
% 4.68/3.34 ((~![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(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 4.68/3.34 tff(1581,plain,
% 4.68/3.34 (~m_main_v_state1(s13, c_n1)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1580, 936, 1374, 1459])).
% 4.68/3.34 tff(1582,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1583,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1584,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 4.68/3.34 tff(1585,plain,
% 4.68/3.34 (~node2(s13)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1584, 652, 1581])).
% 4.68/3.34 tff(1586,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1587,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1588,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 4.68/3.34 tff(1589,plain,
% 4.68/3.34 (~node1(s13)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1588, 206, 1506])).
% 4.68/3.34 tff(1590,plain,
% 4.68/3.34 (((~![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))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1591,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1592,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 4.68/3.34 tff(1593,plain,
% 4.68/3.34 (node7(s13, s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1592, 217, 1517])).
% 4.68/3.34 tff(1594,plain,
% 4.68/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1595,plain,
% 4.68/3.34 (((~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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1596,plain,
% 4.68/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.68/3.34 inference(monotonicity,[status(thm)],[1595])).
% 4.68/3.34 tff(1597,plain,
% 4.68/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.68/3.34 inference(transitivity,[status(thm)],[1596, 1594])).
% 4.68/3.34 tff(1598,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1599,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 4.68/3.34 tff(1600,plain,
% 4.68/3.34 ((~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)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1599, 965, 1593])).
% 4.68/3.34 tff(1601,plain,
% 4.68/3.34 (m_main_v_state1(s14, c_c1)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1600, 1589, 1502, 1466, 1585, 1574])).
% 4.68/3.34 tff(1602,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1603,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1604,plain,
% 4.68/3.34 ((~![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))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 4.68/3.34 tff(1605,plain,
% 4.68/3.34 (~m_main_v_state1(s14, c_n1)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1604, 449, 1601])).
% 4.68/3.34 tff(1606,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1607,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1608,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 4.68/3.34 tff(1609,plain,
% 4.68/3.34 (~node11(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1608, 361, 1605])).
% 4.68/3.34 tff(1610,plain,
% 4.68/3.34 (succ(s14, s15) <=> succ(s14, s15)),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1611,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 4.68/3.34 tff(1612,plain,
% 4.68/3.34 (succ(s14, s15)),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 4.68/3.34 tff(1613,plain,
% 4.68/3.34 (((~![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))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1614,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1615,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 4.68/3.34 tff(1616,plain,
% 4.68/3.34 (trans(s14, s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1615, 1612, 57])).
% 4.68/3.34 tff(1617,plain,
% 4.68/3.34 (((~![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))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1618,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1619,plain,
% 4.68/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 4.68/3.34 tff(1620,plain,
% 4.68/3.34 (node14(s14, s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1619, 130, 1616])).
% 4.68/3.34 tff(1621,plain,
% 4.68/3.34 (((~![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(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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1622,plain,
% 4.68/3.34 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1623,plain,
% 4.68/3.34 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 4.68/3.34 tff(1624,plain,
% 4.68/3.34 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1623, 401, 1620])).
% 4.68/3.34 tff(1625,plain,
% 4.68/3.34 (node13(s14, s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1624, 1609, 1566, 1562, 1558, 1554, 1537])).
% 4.68/3.34 tff(1626,plain,
% 4.68/3.34 (((~![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(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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1627,plain,
% 4.68/3.34 (((~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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1628,plain,
% 4.68/3.34 (((~![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))))),
% 4.68/3.34 inference(monotonicity,[status(thm)],[1627])).
% 4.68/3.34 tff(1629,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(transitivity,[status(thm)],[1628, 1626])).
% 4.68/3.34 tff(1630,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1631,plain,
% 4.68/3.34 ((~![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(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 4.68/3.34 tff(1632,plain,
% 4.68/3.34 (~m_main_v_state2(s15, c_n2)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1631, 416, 1550, 1625])).
% 4.68/3.34 tff(1633,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1634,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1635,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 4.68/3.34 tff(1636,plain,
% 4.68/3.34 (~node9(s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1635, 311, 1632])).
% 4.68/3.34 tff(1637,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1638,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1639,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 4.68/3.34 tff(1640,plain,
% 4.68/3.34 (~node10(s15)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1639, 372, 1632])).
% 4.68/3.34 tff(1641,plain,
% 4.68/3.34 (((~![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(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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1642,plain,
% 4.68/3.34 (((~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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1643,plain,
% 4.68/3.34 (((~![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))))),
% 4.68/3.34 inference(monotonicity,[status(thm)],[1642])).
% 4.68/3.34 tff(1644,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(transitivity,[status(thm)],[1643, 1641])).
% 4.68/3.34 tff(1645,plain,
% 4.68/3.34 ((~![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))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1646,plain,
% 4.68/3.34 ((~![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(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 4.68/3.34 tff(1647,plain,
% 4.68/3.34 (m_main_v_state2(s15, c_t2)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1646, 563, 1546, 1625])).
% 4.68/3.34 tff(1648,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1649,plain,
% 4.68/3.34 ((~![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)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1650,plain,
% 4.68/3.34 ((~![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))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 4.68/3.34 tff(1651,plain,
% 4.68/3.34 (~m_main_v_state1(s14, c_t1)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1650, 289, 1601])).
% 4.68/3.34 tff(1652,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1653,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1654,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 4.68/3.34 tff(1655,plain,
% 4.68/3.34 (~node5(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1654, 300, 1651])).
% 4.68/3.34 tff(1656,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1657,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1658,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 4.68/3.34 tff(1659,plain,
% 4.68/3.34 (~node4(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1658, 162, 1550])).
% 4.68/3.34 tff(1660,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.34 inference(rewrite,[status(thm)],[])).
% 4.68/3.34 tff(1661,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 4.68/3.34 inference(quant_inst,[status(thm)],[])).
% 4.68/3.34 tff(1662,plain,
% 4.68/3.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 4.68/3.34 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 4.68/3.34 tff(1663,plain,
% 4.68/3.34 (~node3(s14)),
% 4.68/3.34 inference(unit_resolution,[status(thm)],[1662, 184, 1566])).
% 4.68/3.34 tff(1664,plain,
% 4.68/3.34 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1665,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1666,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 4.68/3.35 tff(1667,plain,
% 4.68/3.35 (~node2(s14)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1666, 195, 1550])).
% 4.68/3.35 tff(1668,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1669,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1670,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 4.68/3.35 tff(1671,plain,
% 4.68/3.35 (~node1(s14)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1670, 249, 1605])).
% 4.68/3.35 tff(1672,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1673,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1674,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 4.68/3.35 tff(1675,plain,
% 4.68/3.35 (node7(s14, s15)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1674, 217, 1616])).
% 4.68/3.35 tff(1676,plain,
% 4.68/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1677,plain,
% 4.68/3.35 (((~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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1678,plain,
% 4.68/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.68/3.35 inference(monotonicity,[status(thm)],[1677])).
% 4.68/3.35 tff(1679,plain,
% 4.68/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.68/3.35 inference(transitivity,[status(thm)],[1678, 1676])).
% 4.68/3.35 tff(1680,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1681,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 4.68/3.35 tff(1682,plain,
% 4.68/3.35 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1681, 478, 1675])).
% 4.68/3.35 tff(1683,plain,
% 4.68/3.35 (m_main_v_state1(s15, c_n1)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1682, 1671, 1601, 1667, 1663, 1659, 1655])).
% 4.68/3.35 tff(1684,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1685,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1686,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 4.68/3.35 tff(1687,plain,
% 4.68/3.35 (~node8(s15)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1686, 383, 1632])).
% 4.68/3.35 tff(1688,plain,
% 4.68/3.35 (succ(s15, s16) <=> succ(s15, s16)),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1689,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 4.68/3.35 tff(1690,plain,
% 4.68/3.35 (succ(s15, s16)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 4.68/3.35 tff(1691,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1692,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1693,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 4.68/3.35 tff(1694,plain,
% 4.68/3.35 (trans(s15, s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1693, 1690, 57])).
% 4.68/3.35 tff(1695,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1696,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1697,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 4.68/3.35 tff(1698,plain,
% 4.68/3.35 (node14(s15, s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1697, 130, 1694])).
% 4.68/3.35 tff(1699,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1700,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1701,plain,
% 4.68/3.35 ((~![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)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 4.68/3.35 tff(1702,plain,
% 4.68/3.35 ((~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)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1701, 704, 1698])).
% 4.68/3.35 tff(1703,plain,
% 4.68/3.35 (m_main_v_state2(s16, c_c2)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1702, 1687, 1683, 1647, 1640, 1636])).
% 4.68/3.35 tff(1704,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1705,plain,
% 4.68/3.35 ((~![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)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1706,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 4.68/3.35 tff(1707,plain,
% 4.68/3.35 (~m_main_v_state2(s16, c_t2)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1706, 173, 1703])).
% 4.68/3.35 tff(1708,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1709,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1710,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 4.68/3.35 tff(1711,plain,
% 4.68/3.35 (~node12(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1710, 778, 1707])).
% 4.68/3.35 tff(1712,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1713,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1714,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 4.68/3.35 tff(1715,plain,
% 4.68/3.35 (node7(s15, s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1714, 217, 1694])).
% 4.68/3.35 tff(1716,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1717,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1718,plain,
% 4.68/3.35 ((~![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)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 4.68/3.35 tff(1719,plain,
% 4.68/3.35 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1718, 598, 1715])).
% 4.68/3.35 tff(1720,plain,
% 4.68/3.35 (m_main_v_state1(s16, c_t1)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1719, 1647, 1683])).
% 4.68/3.35 tff(1721,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1722,plain,
% 4.68/3.35 ((~![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)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1723,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 4.68/3.35 tff(1724,plain,
% 4.68/3.35 (~m_main_v_state1(s16, c_n1)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1723, 35, 1720])).
% 4.68/3.35 tff(1725,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1726,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1727,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 4.68/3.35 tff(1728,plain,
% 4.68/3.35 (~node11(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1727, 361, 1724])).
% 4.68/3.35 tff(1729,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1730,plain,
% 4.68/3.35 ((~![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)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1731,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 4.68/3.35 tff(1732,plain,
% 4.68/3.35 (~m_main_v_state1(s16, c_c1)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1731, 289, 1720])).
% 4.68/3.35 tff(1733,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1734,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1735,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 4.68/3.35 tff(1736,plain,
% 4.68/3.35 (~node10(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1735, 793, 1732])).
% 4.68/3.35 tff(1737,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1738,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1739,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 4.68/3.35 tff(1740,plain,
% 4.68/3.35 (~node9(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1739, 804, 1724])).
% 4.68/3.35 tff(1741,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1742,plain,
% 4.68/3.35 ((~![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)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1743,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 4.68/3.35 tff(1744,plain,
% 4.68/3.35 (~m_main_v_state2(s16, c_n2)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1743, 716, 1703])).
% 4.68/3.35 tff(1745,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1746,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1747,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 4.68/3.35 tff(1748,plain,
% 4.68/3.35 (~node8(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1747, 383, 1744])).
% 4.68/3.35 tff(1749,plain,
% 4.68/3.35 (succ(s16, s17) <=> succ(s16, s17)),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1750,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 4.68/3.35 tff(1751,plain,
% 4.68/3.35 (succ(s16, s17)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 4.68/3.35 tff(1752,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1753,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1754,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 4.68/3.35 tff(1755,plain,
% 4.68/3.35 (trans(s16, s17)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1754, 1751, 57])).
% 4.68/3.35 tff(1756,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1757,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1758,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 4.68/3.35 tff(1759,plain,
% 4.68/3.35 (node14(s16, s17)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1758, 130, 1755])).
% 4.68/3.35 tff(1760,plain,
% 4.68/3.35 (((~![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(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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1761,plain,
% 4.68/3.35 (((~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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1762,plain,
% 4.68/3.35 (((~![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(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))))),
% 4.68/3.35 inference(monotonicity,[status(thm)],[1761])).
% 4.68/3.35 tff(1763,plain,
% 4.68/3.35 (((~![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(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)))),
% 4.68/3.35 inference(transitivity,[status(thm)],[1762, 1760])).
% 4.68/3.35 tff(1764,plain,
% 4.68/3.35 ((~![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(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1765,plain,
% 4.68/3.35 ((~![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(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 4.68/3.35 tff(1766,plain,
% 4.68/3.35 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1765, 826, 1759])).
% 4.68/3.35 tff(1767,plain,
% 4.68/3.35 (m_main_v_state2(s17, c_n2)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1766, 1748, 1703, 1740, 1736, 1728, 1711])).
% 4.68/3.35 tff(1768,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1769,plain,
% 4.68/3.35 ((~![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)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1770,plain,
% 4.68/3.35 ((~![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))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 4.68/3.35 tff(1771,plain,
% 4.68/3.35 (~m_main_v_state2(s17, c_c2)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1770, 716, 1767])).
% 4.68/3.35 tff(1772,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1773,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1774,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 4.68/3.35 tff(1775,plain,
% 4.68/3.35 (~node3(s17)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1774, 184, 1771])).
% 4.68/3.35 tff(1776,plain,
% 4.68/3.35 (((~![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)))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1777,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1778,plain,
% 4.68/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 4.68/3.35 tff(1779,plain,
% 4.68/3.35 (~node1(s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1778, 249, 1724])).
% 4.68/3.35 tff(1780,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.35 inference(rewrite,[status(thm)],[])).
% 4.68/3.35 tff(1781,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 4.68/3.35 inference(quant_inst,[status(thm)],[])).
% 4.68/3.35 tff(1782,plain,
% 4.68/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 4.68/3.35 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 4.68/3.35 tff(1783,plain,
% 4.68/3.35 (node18(s15, s16)),
% 4.68/3.35 inference(unit_resolution,[status(thm)],[1782, 71, 1694])).
% 4.68/3.35 tff(1784,plain,
% 4.68/3.35 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1785,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1786,plain,
% 4.68/3.36 ((~![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)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 4.68/3.36 tff(1787,plain,
% 4.68/3.36 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1786, 625, 1783])).
% 4.68/3.36 tff(1788,plain,
% 4.68/3.36 (m_main_v_turn(s16, c_2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1787, 1647, 1683])).
% 4.68/3.36 tff(1789,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1790,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1791,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 4.68/3.36 tff(1792,plain,
% 4.68/3.36 (~m_main_v_turn(s16, c_1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1791, 322, 1788])).
% 4.68/3.36 tff(1793,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1794,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1795,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 4.68/3.36 tff(1796,plain,
% 4.68/3.36 (~node5(s16)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1795, 641, 1792])).
% 4.68/3.36 tff(1797,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1798,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1799,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 4.68/3.36 tff(1800,plain,
% 4.68/3.36 (~node2(s16)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1799, 652, 1724])).
% 4.68/3.36 tff(1801,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1802,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1803,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 4.68/3.36 tff(1804,plain,
% 4.68/3.36 (~node3(s16)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1803, 663, 1724])).
% 4.68/3.36 tff(1805,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1806,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1807,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 4.68/3.36 tff(1808,plain,
% 4.68/3.36 (~node4(s16)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1807, 162, 1744])).
% 4.68/3.36 tff(1809,plain,
% 4.68/3.36 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1810,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1811,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 4.68/3.36 tff(1812,plain,
% 4.68/3.36 (node7(s16, s17)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1811, 217, 1755])).
% 4.68/3.36 tff(1813,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1814,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1815,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 4.68/3.36 tff(1816,plain,
% 4.68/3.36 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1815, 745, 1812])).
% 4.68/3.36 tff(1817,plain,
% 4.68/3.36 (node6(s16, s17)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1816, 1808, 1732, 1804, 1800, 1796, 1779])).
% 4.68/3.36 tff(1818,plain,
% 4.68/3.36 (((~![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(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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1819,plain,
% 4.68/3.36 (((~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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1820,plain,
% 4.68/3.36 (((~![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))))),
% 4.68/3.36 inference(monotonicity,[status(thm)],[1819])).
% 4.68/3.36 tff(1821,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(transitivity,[status(thm)],[1820, 1818])).
% 4.68/3.36 tff(1822,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1823,plain,
% 4.68/3.36 ((~![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(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 4.68/3.36 tff(1824,plain,
% 4.68/3.36 (~m_main_v_state1(s17, c_n1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1823, 936, 1724, 1817])).
% 4.68/3.36 tff(1825,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1826,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1827,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 4.68/3.36 tff(1828,plain,
% 4.68/3.36 (~node2(s17)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1827, 652, 1824])).
% 4.68/3.36 tff(1829,plain,
% 4.68/3.36 (((~![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(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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1830,plain,
% 4.68/3.36 (((~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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1831,plain,
% 4.68/3.36 (((~![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))))),
% 4.68/3.36 inference(monotonicity,[status(thm)],[1830])).
% 4.68/3.36 tff(1832,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(transitivity,[status(thm)],[1831, 1829])).
% 4.68/3.36 tff(1833,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1834,plain,
% 4.68/3.36 ((~![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(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 4.68/3.36 tff(1835,plain,
% 4.68/3.36 (m_main_v_state1(s17, c_t1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1834, 760, 1720, 1817])).
% 4.68/3.36 tff(1836,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1837,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1838,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 4.68/3.36 tff(1839,plain,
% 4.68/3.36 (~m_main_v_state2(s17, c_t2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1838, 10, 1767])).
% 4.68/3.36 tff(1840,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1841,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1842,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 4.68/3.36 tff(1843,plain,
% 4.68/3.36 (~node1(s17)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1842, 206, 1839])).
% 4.68/3.36 tff(1844,plain,
% 4.68/3.36 (succ(s17, s18) <=> succ(s17, s18)),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1845,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 4.68/3.36 tff(1846,plain,
% 4.68/3.36 (succ(s17, s18)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 4.68/3.36 tff(1847,plain,
% 4.68/3.36 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1848,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1849,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 4.68/3.36 tff(1850,plain,
% 4.68/3.36 (trans(s17, s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1849, 1846, 57])).
% 4.68/3.36 tff(1851,plain,
% 4.68/3.36 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1852,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1853,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 4.68/3.36 tff(1854,plain,
% 4.68/3.36 (node7(s17, s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1853, 217, 1850])).
% 4.68/3.36 tff(1855,plain,
% 4.68/3.36 (((~![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(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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1856,plain,
% 4.68/3.36 (((~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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1857,plain,
% 4.68/3.36 (((~![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(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))))),
% 4.68/3.36 inference(monotonicity,[status(thm)],[1856])).
% 4.68/3.36 tff(1858,plain,
% 4.68/3.36 (((~![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(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)))),
% 4.68/3.36 inference(transitivity,[status(thm)],[1857, 1855])).
% 4.68/3.36 tff(1859,plain,
% 4.68/3.36 ((~![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(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))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1860,plain,
% 4.68/3.36 ((~![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(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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 4.68/3.36 tff(1861,plain,
% 4.68/3.36 ((~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)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1860, 965, 1854])).
% 4.68/3.36 tff(1862,plain,
% 4.68/3.36 (m_main_v_state1(s18, c_c1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1861, 1843, 1767, 1835, 1828, 1775])).
% 4.68/3.36 tff(1863,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1864,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1865,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 4.68/3.36 tff(1866,plain,
% 4.68/3.36 (~m_main_v_state1(s18, c_t1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1865, 289, 1862])).
% 4.68/3.36 tff(1867,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1868,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1869,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 4.68/3.36 tff(1870,plain,
% 4.68/3.36 (~node5(s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1869, 300, 1866])).
% 4.68/3.36 tff(1871,plain,
% 4.68/3.36 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1872,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1873,plain,
% 4.68/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 4.68/3.36 tff(1874,plain,
% 4.68/3.36 (node14(s17, s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1873, 130, 1850])).
% 4.68/3.36 tff(1875,plain,
% 4.68/3.36 (((~![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))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1876,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1877,plain,
% 4.68/3.36 ((~![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)),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 4.68/3.36 tff(1878,plain,
% 4.68/3.36 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1877, 893, 1874])).
% 4.68/3.36 tff(1879,plain,
% 4.68/3.36 (m_main_v_state2(s18, c_t2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1878, 1835, 1767])).
% 4.68/3.36 tff(1880,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1881,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1882,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 4.68/3.36 tff(1883,plain,
% 4.68/3.36 (~m_main_v_state2(s18, c_n2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1882, 10, 1879])).
% 4.68/3.36 tff(1884,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1885,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1886,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 4.68/3.36 tff(1887,plain,
% 4.68/3.36 (~node4(s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1886, 162, 1883])).
% 4.68/3.36 tff(1888,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1889,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1890,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 4.68/3.36 tff(1891,plain,
% 4.68/3.36 (~m_main_v_state2(s18, c_c2)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1890, 173, 1879])).
% 4.68/3.36 tff(1892,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1893,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1894,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 4.68/3.36 tff(1895,plain,
% 4.68/3.36 (~node3(s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1894, 184, 1891])).
% 4.68/3.36 tff(1896,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1897,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1898,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 4.68/3.36 tff(1899,plain,
% 4.68/3.36 (~node2(s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1898, 195, 1883])).
% 4.68/3.36 tff(1900,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1901,plain,
% 4.68/3.36 ((~![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)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1902,plain,
% 4.68/3.36 ((~![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))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 4.68/3.36 tff(1903,plain,
% 4.68/3.36 (~m_main_v_state1(s18, c_n1)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1902, 449, 1862])).
% 4.68/3.36 tff(1904,plain,
% 4.68/3.36 (((~![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)))),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.36 tff(1905,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 4.68/3.36 inference(quant_inst,[status(thm)],[])).
% 4.68/3.36 tff(1906,plain,
% 4.68/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 4.68/3.36 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 4.68/3.36 tff(1907,plain,
% 4.68/3.36 (~node1(s18)),
% 4.68/3.36 inference(unit_resolution,[status(thm)],[1906, 249, 1903])).
% 4.68/3.36 tff(1908,plain,
% 4.68/3.36 (succ(s18, s19) <=> succ(s18, s19)),
% 4.68/3.36 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1909,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 4.68/3.37 tff(1910,plain,
% 4.68/3.37 (succ(s18, s19)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 4.68/3.37 tff(1911,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1912,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1913,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 4.68/3.37 tff(1914,plain,
% 4.68/3.37 (trans(s18, s19)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1913, 1910, 57])).
% 4.68/3.37 tff(1915,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1916,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1917,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 4.68/3.37 tff(1918,plain,
% 4.68/3.37 (node7(s18, s19)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1917, 217, 1914])).
% 4.68/3.37 tff(1919,plain,
% 4.68/3.37 (((~![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(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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1920,plain,
% 4.68/3.37 (((~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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1921,plain,
% 4.68/3.37 (((~![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(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))))),
% 4.68/3.37 inference(monotonicity,[status(thm)],[1920])).
% 4.68/3.37 tff(1922,plain,
% 4.68/3.37 (((~![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(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)))),
% 4.68/3.37 inference(transitivity,[status(thm)],[1921, 1919])).
% 4.68/3.37 tff(1923,plain,
% 4.68/3.37 ((~![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(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1924,plain,
% 4.68/3.37 ((~![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(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 4.68/3.37 tff(1925,plain,
% 4.68/3.37 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1924, 478, 1918])).
% 4.68/3.37 tff(1926,plain,
% 4.68/3.37 (m_main_v_state1(s19, c_n1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1925, 1907, 1862, 1899, 1895, 1887, 1870])).
% 4.68/3.37 tff(1927,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1928,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1929,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 4.68/3.37 tff(1930,plain,
% 4.68/3.37 (~node15(s17)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1929, 21, 1839])).
% 4.68/3.37 tff(1931,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1932,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1933,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 4.68/3.37 tff(1934,plain,
% 4.68/3.37 (node18(s17, s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1933, 71, 1850])).
% 4.68/3.37 tff(1935,plain,
% 4.68/3.37 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1936,plain,
% 4.68/3.37 (((~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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1937,plain,
% 4.68/3.37 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.68/3.37 inference(monotonicity,[status(thm)],[1936])).
% 4.68/3.37 tff(1938,plain,
% 4.68/3.37 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.37 inference(transitivity,[status(thm)],[1937, 1935])).
% 4.68/3.37 tff(1939,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1940,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 4.68/3.37 tff(1941,plain,
% 4.68/3.37 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1940, 863, 1934])).
% 4.68/3.37 tff(1942,plain,
% 4.68/3.37 (m_main_v_turn(s18, c_1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1941, 1930, 1767, 1835])).
% 4.68/3.37 tff(1943,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1944,plain,
% 4.68/3.37 ((~![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)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1945,plain,
% 4.68/3.37 ((~![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))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 4.68/3.37 tff(1946,plain,
% 4.68/3.37 (~m_main_v_turn(s18, c_2)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1945, 322, 1942])).
% 4.68/3.37 tff(1947,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1948,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1949,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 4.68/3.37 tff(1950,plain,
% 4.68/3.37 (~node12(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1949, 350, 1946])).
% 4.68/3.37 tff(1951,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1952,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1953,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 4.68/3.37 tff(1954,plain,
% 4.68/3.37 (~node8(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1953, 383, 1883])).
% 4.68/3.37 tff(1955,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1956,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1957,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 4.68/3.37 tff(1958,plain,
% 4.68/3.37 (~node9(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1957, 311, 1883])).
% 4.68/3.37 tff(1959,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1960,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1961,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 4.68/3.37 tff(1962,plain,
% 4.68/3.37 (~node10(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1961, 372, 1883])).
% 4.68/3.37 tff(1963,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1964,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1965,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 4.68/3.37 tff(1966,plain,
% 4.68/3.37 (~node11(s18)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1965, 361, 1903])).
% 4.68/3.37 tff(1967,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1968,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1969,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 4.68/3.37 tff(1970,plain,
% 4.68/3.37 (node14(s18, s19)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1969, 130, 1914])).
% 4.68/3.37 tff(1971,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1972,plain,
% 4.68/3.37 ((~![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)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1973,plain,
% 4.68/3.37 ((~![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))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 4.68/3.37 tff(1974,plain,
% 4.68/3.37 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1973, 401, 1970])).
% 4.68/3.37 tff(1975,plain,
% 4.68/3.37 (node13(s18, s19)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1974, 1966, 1891, 1962, 1958, 1954, 1950])).
% 4.68/3.37 tff(1976,plain,
% 4.68/3.37 (((~![V: $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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1977,plain,
% 4.68/3.37 (((~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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1978,plain,
% 4.68/3.37 (((~![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))))),
% 4.68/3.37 inference(monotonicity,[status(thm)],[1977])).
% 4.68/3.37 tff(1979,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(transitivity,[status(thm)],[1978, 1976])).
% 4.68/3.37 tff(1980,plain,
% 4.68/3.37 ((~![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))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1981,plain,
% 4.68/3.37 ((~![V: $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))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 4.68/3.37 tff(1982,plain,
% 4.68/3.37 (m_main_v_state2(s19, c_t2)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1981, 563, 1879, 1975])).
% 4.68/3.37 tff(1983,plain,
% 4.68/3.37 (succ(s19, s20) <=> succ(s19, s20)),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1984,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 4.68/3.37 tff(1985,plain,
% 4.68/3.37 (succ(s19, s20)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 4.68/3.37 tff(1986,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1987,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1988,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 4.68/3.37 tff(1989,plain,
% 4.68/3.37 (trans(s19, s20)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1988, 1985, 57])).
% 4.68/3.37 tff(1990,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1991,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1992,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 4.68/3.37 tff(1993,plain,
% 4.68/3.37 (node7(s19, s20)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1992, 217, 1989])).
% 4.68/3.37 tff(1994,plain,
% 4.68/3.37 (((~![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(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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(1995,plain,
% 4.68/3.37 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(1996,plain,
% 4.68/3.37 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 4.68/3.37 tff(1997,plain,
% 4.68/3.37 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1996, 598, 1993])).
% 4.68/3.37 tff(1998,plain,
% 4.68/3.37 (m_main_v_state1(s20, c_t1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[1997, 1982, 1926])).
% 4.68/3.37 tff(1999,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2000,plain,
% 4.68/3.37 ((~![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)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2001,plain,
% 4.68/3.37 ((~![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))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 4.68/3.37 tff(2002,plain,
% 4.68/3.37 (~m_main_v_state1(s20, c_n1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2001, 35, 1998])).
% 4.68/3.37 tff(2003,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2004,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2005,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 4.68/3.37 tff(2006,plain,
% 4.68/3.37 (~node1(s20)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2005, 249, 2002])).
% 4.68/3.37 tff(2007,plain,
% 4.68/3.37 (((~![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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2008,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2009,plain,
% 4.68/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 4.68/3.37 tff(2010,plain,
% 4.68/3.37 (node18(s19, s20)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2009, 71, 1989])).
% 4.68/3.37 tff(2011,plain,
% 4.68/3.37 (((~![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(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))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2012,plain,
% 4.68/3.37 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2013,plain,
% 4.68/3.37 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 4.68/3.37 tff(2014,plain,
% 4.68/3.37 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2013, 625, 2010])).
% 4.68/3.37 tff(2015,plain,
% 4.68/3.37 (m_main_v_turn(s20, c_2)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2014, 1982, 1926])).
% 4.68/3.37 tff(2016,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2017,plain,
% 4.68/3.37 ((~![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)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2018,plain,
% 4.68/3.37 ((~![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))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 4.68/3.37 tff(2019,plain,
% 4.68/3.37 (~m_main_v_turn(s20, c_1)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2018, 322, 2015])).
% 4.68/3.37 tff(2020,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2021,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2022,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 4.68/3.37 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 4.68/3.37 tff(2023,plain,
% 4.68/3.37 (~node5(s20)),
% 4.68/3.37 inference(unit_resolution,[status(thm)],[2022, 641, 2019])).
% 4.68/3.37 tff(2024,plain,
% 4.68/3.37 (((~![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)))),
% 4.68/3.37 inference(rewrite,[status(thm)],[])).
% 4.68/3.37 tff(2025,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 4.68/3.37 inference(quant_inst,[status(thm)],[])).
% 4.68/3.37 tff(2026,plain,
% 4.68/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 4.68/3.38 tff(2027,plain,
% 4.68/3.38 (~node2(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2026, 652, 2002])).
% 4.68/3.38 tff(2028,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2029,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2030,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 4.68/3.38 tff(2031,plain,
% 4.68/3.38 (~node3(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2030, 663, 2002])).
% 4.68/3.38 tff(2032,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2033,plain,
% 4.68/3.38 ((~![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)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2034,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 4.68/3.38 tff(2035,plain,
% 4.68/3.38 (~m_main_v_state1(s20, c_c1)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2034, 289, 1998])).
% 4.68/3.38 tff(2036,plain,
% 4.68/3.38 (((~![V: $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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2037,plain,
% 4.68/3.38 (((~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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2038,plain,
% 4.68/3.38 (((~![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))))),
% 4.68/3.38 inference(monotonicity,[status(thm)],[2037])).
% 4.68/3.38 tff(2039,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(transitivity,[status(thm)],[2038, 2036])).
% 4.68/3.38 tff(2040,plain,
% 4.68/3.38 ((~![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)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2041,plain,
% 4.68/3.38 ((~![V: $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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 4.68/3.38 tff(2042,plain,
% 4.68/3.38 (~m_main_v_state2(s19, c_n2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2041, 416, 1883, 1975])).
% 4.68/3.38 tff(2043,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2044,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2045,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 4.68/3.38 tff(2046,plain,
% 4.68/3.38 (~node9(s19)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2045, 311, 2042])).
% 4.68/3.38 tff(2047,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2048,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2049,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 4.68/3.38 tff(2050,plain,
% 4.68/3.38 (~node10(s19)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2049, 372, 2042])).
% 4.68/3.38 tff(2051,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2052,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2053,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 4.68/3.38 tff(2054,plain,
% 4.68/3.38 (~node8(s19)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2053, 383, 2042])).
% 4.68/3.38 tff(2055,plain,
% 4.68/3.38 (((~![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))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2056,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2057,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 4.68/3.38 tff(2058,plain,
% 4.68/3.38 (node14(s19, s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2057, 130, 1989])).
% 4.68/3.38 tff(2059,plain,
% 4.68/3.38 (((~![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))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2060,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2061,plain,
% 4.68/3.38 ((~![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)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 4.68/3.38 tff(2062,plain,
% 4.68/3.38 ((~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)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2061, 704, 2058])).
% 4.68/3.38 tff(2063,plain,
% 4.68/3.38 (m_main_v_state2(s20, c_c2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2062, 2054, 1926, 1982, 2050, 2046])).
% 4.68/3.38 tff(2064,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2065,plain,
% 4.68/3.38 ((~![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)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2066,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 4.68/3.38 tff(2067,plain,
% 4.68/3.38 (~m_main_v_state2(s20, c_n2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2066, 716, 2063])).
% 4.68/3.38 tff(2068,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2069,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2070,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 4.68/3.38 tff(2071,plain,
% 4.68/3.38 (~node4(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2070, 162, 2067])).
% 4.68/3.38 tff(2072,plain,
% 4.68/3.38 (succ(s20, s21) <=> succ(s20, s21)),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2073,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 4.68/3.38 tff(2074,plain,
% 4.68/3.38 (succ(s20, s21)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 4.68/3.38 tff(2075,plain,
% 4.68/3.38 (((~![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))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2076,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2077,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 4.68/3.38 tff(2078,plain,
% 4.68/3.38 (trans(s20, s21)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2077, 2074, 57])).
% 4.68/3.38 tff(2079,plain,
% 4.68/3.38 (((~![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))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2080,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2081,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 4.68/3.38 tff(2082,plain,
% 4.68/3.38 (node7(s20, s21)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2081, 217, 2078])).
% 4.68/3.38 tff(2083,plain,
% 4.68/3.38 (((~![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(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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2084,plain,
% 4.68/3.38 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2085,plain,
% 4.68/3.38 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 4.68/3.38 tff(2086,plain,
% 4.68/3.38 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2085, 745, 2082])).
% 4.68/3.38 tff(2087,plain,
% 4.68/3.38 (node6(s20, s21)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2086, 2071, 2035, 2031, 2027, 2023, 2006])).
% 4.68/3.38 tff(2088,plain,
% 4.68/3.38 (((~![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(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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2089,plain,
% 4.68/3.38 (((~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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2090,plain,
% 4.68/3.38 (((~![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))))),
% 4.68/3.38 inference(monotonicity,[status(thm)],[2089])).
% 4.68/3.38 tff(2091,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(transitivity,[status(thm)],[2090, 2088])).
% 4.68/3.38 tff(2092,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2093,plain,
% 4.68/3.38 ((~![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(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 4.68/3.38 tff(2094,plain,
% 4.68/3.38 (m_main_v_state1(s21, c_t1)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2093, 760, 1998, 2087])).
% 4.68/3.38 tff(2095,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2096,plain,
% 4.68/3.38 ((~![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)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2097,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 4.68/3.38 tff(2098,plain,
% 4.68/3.38 (~m_main_v_state2(s20, c_t2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2097, 173, 2063])).
% 4.68/3.38 tff(2099,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2100,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2101,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 4.68/3.38 tff(2102,plain,
% 4.68/3.38 (~node12(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2101, 778, 2098])).
% 4.68/3.38 tff(2103,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2104,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2105,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 4.68/3.38 tff(2106,plain,
% 4.68/3.38 (~node11(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2105, 361, 2002])).
% 4.68/3.38 tff(2107,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2108,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2109,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 4.68/3.38 tff(2110,plain,
% 4.68/3.38 (~node10(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2109, 793, 2035])).
% 4.68/3.38 tff(2111,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2112,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2113,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 4.68/3.38 tff(2114,plain,
% 4.68/3.38 (~node9(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2113, 804, 2002])).
% 4.68/3.38 tff(2115,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2116,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2117,plain,
% 4.68/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 4.68/3.38 tff(2118,plain,
% 4.68/3.38 (~node8(s20)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2117, 383, 2067])).
% 4.68/3.38 tff(2119,plain,
% 4.68/3.38 (((~![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))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2120,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2121,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 4.68/3.38 tff(2122,plain,
% 4.68/3.38 (node14(s20, s21)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2121, 130, 2078])).
% 4.68/3.38 tff(2123,plain,
% 4.68/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2124,plain,
% 4.68/3.38 (((~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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2125,plain,
% 4.68/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.68/3.38 inference(monotonicity,[status(thm)],[2124])).
% 4.68/3.38 tff(2126,plain,
% 4.68/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.38 inference(transitivity,[status(thm)],[2125, 2123])).
% 4.68/3.38 tff(2127,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2128,plain,
% 4.68/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 4.68/3.38 tff(2129,plain,
% 4.68/3.38 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2128, 826, 2122])).
% 4.68/3.38 tff(2130,plain,
% 4.68/3.38 (m_main_v_state2(s21, c_n2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2129, 2118, 2063, 2114, 2110, 2106, 2102])).
% 4.68/3.38 tff(2131,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.38 inference(rewrite,[status(thm)],[])).
% 4.68/3.38 tff(2132,plain,
% 4.68/3.38 ((~![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)))),
% 4.68/3.38 inference(quant_inst,[status(thm)],[])).
% 4.68/3.38 tff(2133,plain,
% 4.68/3.38 ((~![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))),
% 4.68/3.38 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 4.68/3.38 tff(2134,plain,
% 4.68/3.38 (~m_main_v_state2(s21, c_t2)),
% 4.68/3.38 inference(unit_resolution,[status(thm)],[2133, 10, 2130])).
% 4.68/3.38 tff(2135,plain,
% 4.68/3.38 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2136,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2137,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 4.68/3.39 tff(2138,plain,
% 4.68/3.39 (~node15(s21)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2137, 21, 2134])).
% 4.68/3.39 tff(2139,plain,
% 4.68/3.39 (succ(s21, s22) <=> succ(s21, s22)),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2140,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 4.68/3.39 tff(2141,plain,
% 4.68/3.39 (succ(s21, s22)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 4.68/3.39 tff(2142,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2143,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2144,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 4.68/3.39 tff(2145,plain,
% 4.68/3.39 (trans(s21, s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2144, 2141, 57])).
% 4.68/3.39 tff(2146,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2147,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2148,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 4.68/3.39 tff(2149,plain,
% 4.68/3.39 (node18(s21, s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2148, 71, 2145])).
% 4.68/3.39 tff(2150,plain,
% 4.68/3.39 (((~![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(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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2151,plain,
% 4.68/3.39 (((~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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2152,plain,
% 4.68/3.39 (((~![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(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)))),
% 4.68/3.39 inference(monotonicity,[status(thm)],[2151])).
% 4.68/3.39 tff(2153,plain,
% 4.68/3.39 (((~![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(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))),
% 4.68/3.39 inference(transitivity,[status(thm)],[2152, 2150])).
% 4.68/3.39 tff(2154,plain,
% 4.68/3.39 ((~![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(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2155,plain,
% 4.68/3.39 ((~![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(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)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 4.68/3.39 tff(2156,plain,
% 4.68/3.39 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2155, 863, 2149])).
% 4.68/3.39 tff(2157,plain,
% 4.68/3.39 (m_main_v_turn(s22, c_1)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2156, 2138, 2130, 2094])).
% 4.68/3.39 tff(2158,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2159,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2160,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 4.68/3.39 tff(2161,plain,
% 4.68/3.39 (~m_main_v_turn(s22, c_2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2160, 322, 2157])).
% 4.68/3.39 tff(2162,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2163,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2164,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 4.68/3.39 tff(2165,plain,
% 4.68/3.39 (~node12(s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2164, 350, 2161])).
% 4.68/3.39 tff(2166,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2167,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2168,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 4.68/3.39 tff(2169,plain,
% 4.68/3.39 (node14(s21, s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2168, 130, 2145])).
% 4.68/3.39 tff(2170,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2171,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2172,plain,
% 4.68/3.39 ((~![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)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 4.68/3.39 tff(2173,plain,
% 4.68/3.39 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2172, 893, 2169])).
% 4.68/3.39 tff(2174,plain,
% 4.68/3.39 (m_main_v_state2(s22, c_t2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2173, 2094, 2130])).
% 4.68/3.39 tff(2175,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2176,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2177,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 4.68/3.39 tff(2178,plain,
% 4.68/3.39 (~m_main_v_state2(s22, c_n2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2177, 10, 2174])).
% 4.68/3.39 tff(2179,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2180,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2181,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 4.68/3.39 tff(2182,plain,
% 4.68/3.39 (~node8(s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2181, 383, 2178])).
% 4.68/3.39 tff(2183,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2184,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2185,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 4.68/3.39 tff(2186,plain,
% 4.68/3.39 (~node9(s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2185, 311, 2178])).
% 4.68/3.39 tff(2187,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2188,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2189,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 4.68/3.39 tff(2190,plain,
% 4.68/3.39 (~node10(s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2189, 372, 2178])).
% 4.68/3.39 tff(2191,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2192,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2193,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 4.68/3.39 tff(2194,plain,
% 4.68/3.39 (~m_main_v_state2(s22, c_c2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2193, 173, 2174])).
% 4.68/3.39 tff(2195,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2196,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2197,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 4.68/3.39 tff(2198,plain,
% 4.68/3.39 (~m_main_v_state2(s21, c_c2)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2197, 716, 2130])).
% 4.68/3.39 tff(2199,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2200,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2201,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 4.68/3.39 tff(2202,plain,
% 4.68/3.39 (~node3(s21)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2201, 184, 2198])).
% 4.68/3.39 tff(2203,plain,
% 4.68/3.39 (((~![V: $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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2204,plain,
% 4.68/3.39 (((~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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2205,plain,
% 4.68/3.39 (((~![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))))),
% 4.68/3.39 inference(monotonicity,[status(thm)],[2204])).
% 4.68/3.39 tff(2206,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(transitivity,[status(thm)],[2205, 2203])).
% 4.68/3.39 tff(2207,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2208,plain,
% 4.68/3.39 ((~![V: $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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 4.68/3.39 tff(2209,plain,
% 4.68/3.39 (~m_main_v_state1(s21, c_n1)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2208, 936, 2002, 2087])).
% 4.68/3.39 tff(2210,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2211,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2212,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 4.68/3.39 tff(2213,plain,
% 4.68/3.39 (~node2(s21)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2212, 652, 2209])).
% 4.68/3.39 tff(2214,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2215,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2216,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 4.68/3.39 tff(2217,plain,
% 4.68/3.39 (~node1(s21)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2216, 206, 2134])).
% 4.68/3.39 tff(2218,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2219,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2220,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 4.68/3.39 tff(2221,plain,
% 4.68/3.39 (node7(s21, s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2220, 217, 2145])).
% 4.68/3.39 tff(2222,plain,
% 4.68/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2223,plain,
% 4.68/3.39 (((~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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2224,plain,
% 4.68/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.68/3.39 inference(monotonicity,[status(thm)],[2223])).
% 4.68/3.39 tff(2225,plain,
% 4.68/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.68/3.39 inference(transitivity,[status(thm)],[2224, 2222])).
% 4.68/3.39 tff(2226,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2227,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 4.68/3.39 tff(2228,plain,
% 4.68/3.39 ((~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)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2227, 965, 2221])).
% 4.68/3.39 tff(2229,plain,
% 4.68/3.39 (m_main_v_state1(s22, c_c1)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2228, 2217, 2130, 2094, 2213, 2202])).
% 4.68/3.39 tff(2230,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2231,plain,
% 4.68/3.39 ((~![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)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2232,plain,
% 4.68/3.39 ((~![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))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 4.68/3.39 tff(2233,plain,
% 4.68/3.39 (~m_main_v_state1(s22, c_n1)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2232, 449, 2229])).
% 4.68/3.39 tff(2234,plain,
% 4.68/3.39 (((~![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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2235,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2236,plain,
% 4.68/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 4.68/3.39 tff(2237,plain,
% 4.68/3.39 (~node11(s22)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2236, 361, 2233])).
% 4.68/3.39 tff(2238,plain,
% 4.68/3.39 (succ(s22, s23) <=> succ(s22, s23)),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2239,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 4.68/3.39 tff(2240,plain,
% 4.68/3.39 (succ(s22, s23)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 4.68/3.39 tff(2241,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2242,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2243,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 4.68/3.39 tff(2244,plain,
% 4.68/3.39 (trans(s22, s23)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2243, 2240, 57])).
% 4.68/3.39 tff(2245,plain,
% 4.68/3.39 (((~![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))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2246,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2247,plain,
% 4.68/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 4.68/3.39 tff(2248,plain,
% 4.68/3.39 (node14(s22, s23)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2247, 130, 2244])).
% 4.68/3.39 tff(2249,plain,
% 4.68/3.39 (((~![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(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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2250,plain,
% 4.68/3.39 ((~![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(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 4.68/3.39 inference(quant_inst,[status(thm)],[])).
% 4.68/3.39 tff(2251,plain,
% 4.68/3.39 ((~![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(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 4.68/3.39 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 4.68/3.39 tff(2252,plain,
% 4.68/3.39 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2251, 401, 2248])).
% 4.68/3.39 tff(2253,plain,
% 4.68/3.39 (node13(s22, s23)),
% 4.68/3.39 inference(unit_resolution,[status(thm)],[2252, 2237, 2194, 2190, 2186, 2182, 2165])).
% 4.68/3.39 tff(2254,plain,
% 4.68/3.39 (((~![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(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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2255,plain,
% 4.68/3.39 (((~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)))),
% 4.68/3.39 inference(rewrite,[status(thm)],[])).
% 4.68/3.39 tff(2256,plain,
% 4.68/3.39 (((~![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))))),
% 4.68/3.40 inference(monotonicity,[status(thm)],[2255])).
% 4.68/3.40 tff(2257,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(transitivity,[status(thm)],[2256, 2254])).
% 4.68/3.40 tff(2258,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2259,plain,
% 4.68/3.40 ((~![V: $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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 4.68/3.40 tff(2260,plain,
% 4.68/3.40 (~m_main_v_state2(s23, c_n2)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2259, 416, 2178, 2253])).
% 4.68/3.40 tff(2261,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2262,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2263,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 4.68/3.40 tff(2264,plain,
% 4.68/3.40 (~node9(s23)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2263, 311, 2260])).
% 4.68/3.40 tff(2265,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2266,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2267,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 4.68/3.40 tff(2268,plain,
% 4.68/3.40 (~node10(s23)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2267, 372, 2260])).
% 4.68/3.40 tff(2269,plain,
% 4.68/3.40 (((~![V: $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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2270,plain,
% 4.68/3.40 (((~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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2271,plain,
% 4.68/3.40 (((~![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))))),
% 4.68/3.40 inference(monotonicity,[status(thm)],[2270])).
% 4.68/3.40 tff(2272,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(transitivity,[status(thm)],[2271, 2269])).
% 4.68/3.40 tff(2273,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2274,plain,
% 4.68/3.40 ((~![V: $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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 4.68/3.40 tff(2275,plain,
% 4.68/3.40 (m_main_v_state2(s23, c_t2)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2274, 563, 2174, 2253])).
% 4.68/3.40 tff(2276,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2277,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2278,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 4.68/3.40 tff(2279,plain,
% 4.68/3.40 (~m_main_v_state1(s22, c_t1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2278, 289, 2229])).
% 4.68/3.40 tff(2280,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2281,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2282,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 4.68/3.40 tff(2283,plain,
% 4.68/3.40 (~node5(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2282, 300, 2279])).
% 4.68/3.40 tff(2284,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2285,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2286,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 4.68/3.40 tff(2287,plain,
% 4.68/3.40 (~node4(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2286, 162, 2178])).
% 4.68/3.40 tff(2288,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2289,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2290,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 4.68/3.40 tff(2291,plain,
% 4.68/3.40 (~node3(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2290, 184, 2194])).
% 4.68/3.40 tff(2292,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2293,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2294,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 4.68/3.40 tff(2295,plain,
% 4.68/3.40 (~node2(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2294, 195, 2178])).
% 4.68/3.40 tff(2296,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2297,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2298,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 4.68/3.40 tff(2299,plain,
% 4.68/3.40 (~node1(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2298, 249, 2233])).
% 4.68/3.40 tff(2300,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2301,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2302,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 4.68/3.40 tff(2303,plain,
% 4.68/3.40 (node7(s22, s23)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2302, 217, 2244])).
% 4.68/3.40 tff(2304,plain,
% 4.68/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2305,plain,
% 4.68/3.40 (((~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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2306,plain,
% 4.68/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.68/3.40 inference(monotonicity,[status(thm)],[2305])).
% 4.68/3.40 tff(2307,plain,
% 4.68/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.68/3.40 inference(transitivity,[status(thm)],[2306, 2304])).
% 4.68/3.40 tff(2308,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2309,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 4.68/3.40 tff(2310,plain,
% 4.68/3.40 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2309, 478, 2303])).
% 4.68/3.40 tff(2311,plain,
% 4.68/3.40 (m_main_v_state1(s23, c_n1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2310, 2299, 2229, 2295, 2291, 2287, 2283])).
% 4.68/3.40 tff(2312,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2313,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2314,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 4.68/3.40 tff(2315,plain,
% 4.68/3.40 (~node8(s23)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2314, 383, 2260])).
% 4.68/3.40 tff(2316,plain,
% 4.68/3.40 (succ(s23, s24) <=> succ(s23, s24)),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2317,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 4.68/3.40 tff(2318,plain,
% 4.68/3.40 (succ(s23, s24)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 4.68/3.40 tff(2319,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2320,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2321,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 4.68/3.40 tff(2322,plain,
% 4.68/3.40 (trans(s23, s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2321, 2318, 57])).
% 4.68/3.40 tff(2323,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2324,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2325,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 4.68/3.40 tff(2326,plain,
% 4.68/3.40 (node14(s23, s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2325, 130, 2322])).
% 4.68/3.40 tff(2327,plain,
% 4.68/3.40 (((~![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(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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2328,plain,
% 4.68/3.40 ((~![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(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))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2329,plain,
% 4.68/3.40 ((~![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(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)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 4.68/3.40 tff(2330,plain,
% 4.68/3.40 ((~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)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2329, 704, 2326])).
% 4.68/3.40 tff(2331,plain,
% 4.68/3.40 (m_main_v_state2(s24, c_c2)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2330, 2315, 2311, 2275, 2268, 2264])).
% 4.68/3.40 tff(2332,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2333,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2334,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 4.68/3.40 tff(2335,plain,
% 4.68/3.40 (~m_main_v_state2(s24, c_t2)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2334, 173, 2331])).
% 4.68/3.40 tff(2336,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2337,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2338,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 4.68/3.40 tff(2339,plain,
% 4.68/3.40 (~node12(s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2338, 778, 2335])).
% 4.68/3.40 tff(2340,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2341,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2342,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 4.68/3.40 tff(2343,plain,
% 4.68/3.40 (node7(s23, s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2342, 217, 2322])).
% 4.68/3.40 tff(2344,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2345,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2346,plain,
% 4.68/3.40 ((~![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)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 4.68/3.40 tff(2347,plain,
% 4.68/3.40 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2346, 598, 2343])).
% 4.68/3.40 tff(2348,plain,
% 4.68/3.40 (m_main_v_state1(s24, c_t1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2347, 2275, 2311])).
% 4.68/3.40 tff(2349,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2350,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2351,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 4.68/3.40 tff(2352,plain,
% 4.68/3.40 (~m_main_v_state1(s24, c_n1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2351, 35, 2348])).
% 4.68/3.40 tff(2353,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2354,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2355,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 4.68/3.40 tff(2356,plain,
% 4.68/3.40 (~node11(s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2355, 361, 2352])).
% 4.68/3.40 tff(2357,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2358,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2359,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 4.68/3.40 tff(2360,plain,
% 4.68/3.40 (~m_main_v_state1(s24, c_c1)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2359, 289, 2348])).
% 4.68/3.40 tff(2361,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2362,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2363,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 4.68/3.40 tff(2364,plain,
% 4.68/3.40 (~node10(s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2363, 793, 2360])).
% 4.68/3.40 tff(2365,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2366,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2367,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 4.68/3.40 tff(2368,plain,
% 4.68/3.40 (~node9(s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2367, 804, 2352])).
% 4.68/3.40 tff(2369,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2370,plain,
% 4.68/3.40 ((~![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)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2371,plain,
% 4.68/3.40 ((~![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))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 4.68/3.40 tff(2372,plain,
% 4.68/3.40 (~m_main_v_state2(s24, c_n2)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2371, 716, 2331])).
% 4.68/3.40 tff(2373,plain,
% 4.68/3.40 (((~![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)))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2374,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2375,plain,
% 4.68/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 4.68/3.40 tff(2376,plain,
% 4.68/3.40 (~node8(s24)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2375, 383, 2372])).
% 4.68/3.40 tff(2377,plain,
% 4.68/3.40 (succ(s24, s25) <=> succ(s24, s25)),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2378,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 4.68/3.40 tff(2379,plain,
% 4.68/3.40 (succ(s24, s25)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 4.68/3.40 tff(2380,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2381,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2382,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 4.68/3.40 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 4.68/3.40 tff(2383,plain,
% 4.68/3.40 (trans(s24, s25)),
% 4.68/3.40 inference(unit_resolution,[status(thm)],[2382, 2379, 57])).
% 4.68/3.40 tff(2384,plain,
% 4.68/3.40 (((~![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))),
% 4.68/3.40 inference(rewrite,[status(thm)],[])).
% 4.68/3.40 tff(2385,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 4.68/3.40 inference(quant_inst,[status(thm)],[])).
% 4.68/3.40 tff(2386,plain,
% 4.68/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 4.68/3.41 tff(2387,plain,
% 4.68/3.41 (node14(s24, s25)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2386, 130, 2383])).
% 4.68/3.41 tff(2388,plain,
% 4.68/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2389,plain,
% 4.68/3.41 (((~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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2390,plain,
% 4.68/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.68/3.41 inference(monotonicity,[status(thm)],[2389])).
% 4.68/3.41 tff(2391,plain,
% 4.68/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.68/3.41 inference(transitivity,[status(thm)],[2390, 2388])).
% 4.68/3.41 tff(2392,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2393,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 4.68/3.41 tff(2394,plain,
% 4.68/3.41 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2393, 826, 2387])).
% 4.68/3.41 tff(2395,plain,
% 4.68/3.41 (m_main_v_state2(s25, c_n2)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2394, 2376, 2331, 2368, 2364, 2356, 2339])).
% 4.68/3.41 tff(2396,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2397,plain,
% 4.68/3.41 ((~![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)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2398,plain,
% 4.68/3.41 ((~![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))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 4.68/3.41 tff(2399,plain,
% 4.68/3.41 (~m_main_v_state2(s25, c_c2)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2398, 716, 2395])).
% 4.68/3.41 tff(2400,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2401,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2402,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 4.68/3.41 tff(2403,plain,
% 4.68/3.41 (~node3(s25)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2402, 184, 2399])).
% 4.68/3.41 tff(2404,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2405,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2406,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 4.68/3.41 tff(2407,plain,
% 4.68/3.41 (~node1(s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2406, 249, 2352])).
% 4.68/3.41 tff(2408,plain,
% 4.68/3.41 (((~![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))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2409,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2410,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 4.68/3.41 tff(2411,plain,
% 4.68/3.41 (node18(s23, s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2410, 71, 2322])).
% 4.68/3.41 tff(2412,plain,
% 4.68/3.41 (((~![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))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2413,plain,
% 4.68/3.41 ((~![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))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2414,plain,
% 4.68/3.41 ((~![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)),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 4.68/3.41 tff(2415,plain,
% 4.68/3.41 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2414, 625, 2411])).
% 4.68/3.41 tff(2416,plain,
% 4.68/3.41 (m_main_v_turn(s24, c_2)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2415, 2275, 2311])).
% 4.68/3.41 tff(2417,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2418,plain,
% 4.68/3.41 ((~![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)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2419,plain,
% 4.68/3.41 ((~![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))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 4.68/3.41 tff(2420,plain,
% 4.68/3.41 (~m_main_v_turn(s24, c_1)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2419, 322, 2416])).
% 4.68/3.41 tff(2421,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2422,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2423,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 4.68/3.41 tff(2424,plain,
% 4.68/3.41 (~node5(s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2423, 641, 2420])).
% 4.68/3.41 tff(2425,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2426,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2427,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 4.68/3.41 tff(2428,plain,
% 4.68/3.41 (~node2(s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2427, 652, 2352])).
% 4.68/3.41 tff(2429,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2430,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2431,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 4.68/3.41 tff(2432,plain,
% 4.68/3.41 (~node3(s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2431, 663, 2352])).
% 4.68/3.41 tff(2433,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2434,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2435,plain,
% 4.68/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 4.68/3.41 tff(2436,plain,
% 4.68/3.41 (~node4(s24)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2435, 162, 2372])).
% 4.68/3.41 tff(2437,plain,
% 4.68/3.41 (((~![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))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2438,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2439,plain,
% 4.68/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 4.68/3.41 tff(2440,plain,
% 4.68/3.41 (node7(s24, s25)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2439, 217, 2383])).
% 4.68/3.41 tff(2441,plain,
% 4.68/3.41 (((~![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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2442,plain,
% 4.68/3.41 ((~![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)))),
% 4.68/3.41 inference(quant_inst,[status(thm)],[])).
% 4.68/3.41 tff(2443,plain,
% 4.68/3.41 ((~![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))),
% 4.68/3.41 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 4.68/3.41 tff(2444,plain,
% 4.68/3.41 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2443, 745, 2440])).
% 4.68/3.41 tff(2445,plain,
% 4.68/3.41 (node6(s24, s25)),
% 4.68/3.41 inference(unit_resolution,[status(thm)],[2444, 2436, 2360, 2432, 2428, 2424, 2407])).
% 4.68/3.41 tff(2446,plain,
% 4.68/3.41 (((~![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(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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2447,plain,
% 4.68/3.41 (((~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)))),
% 4.68/3.41 inference(rewrite,[status(thm)],[])).
% 4.68/3.41 tff(2448,plain,
% 4.68/3.41 (((~![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))))),
% 4.78/3.41 inference(monotonicity,[status(thm)],[2447])).
% 4.78/3.41 tff(2449,plain,
% 4.78/3.41 (((~![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)))),
% 4.78/3.41 inference(transitivity,[status(thm)],[2448, 2446])).
% 4.78/3.41 tff(2450,plain,
% 4.78/3.41 ((~![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)))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2451,plain,
% 4.78/3.41 ((~![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(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 4.78/3.41 tff(2452,plain,
% 4.78/3.41 (~m_main_v_state1(s25, c_n1)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2451, 936, 2352, 2445])).
% 4.78/3.41 tff(2453,plain,
% 4.78/3.41 (((~![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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2454,plain,
% 4.78/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2455,plain,
% 4.78/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 4.78/3.41 tff(2456,plain,
% 4.78/3.41 (~node2(s25)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2455, 652, 2452])).
% 4.78/3.41 tff(2457,plain,
% 4.78/3.41 (((~![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(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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2458,plain,
% 4.78/3.41 (((~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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2459,plain,
% 4.78/3.41 (((~![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))))),
% 4.78/3.41 inference(monotonicity,[status(thm)],[2458])).
% 4.78/3.41 tff(2460,plain,
% 4.78/3.41 (((~![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)))),
% 4.78/3.41 inference(transitivity,[status(thm)],[2459, 2457])).
% 4.78/3.41 tff(2461,plain,
% 4.78/3.41 ((~![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))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2462,plain,
% 4.78/3.41 ((~![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(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 4.78/3.41 tff(2463,plain,
% 4.78/3.41 (m_main_v_state1(s25, c_t1)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2462, 760, 2348, 2445])).
% 4.78/3.41 tff(2464,plain,
% 4.78/3.41 (((~![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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2465,plain,
% 4.78/3.41 ((~![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)))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2466,plain,
% 4.78/3.41 ((~![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))),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 4.78/3.41 tff(2467,plain,
% 4.78/3.41 (~m_main_v_state2(s25, c_t2)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2466, 10, 2395])).
% 4.78/3.41 tff(2468,plain,
% 4.78/3.41 (((~![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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2469,plain,
% 4.78/3.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2470,plain,
% 4.78/3.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 4.78/3.41 tff(2471,plain,
% 4.78/3.41 (~node1(s25)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2470, 206, 2467])).
% 4.78/3.41 tff(2472,plain,
% 4.78/3.41 (succ(s25, s26) <=> succ(s25, s26)),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2473,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 4.78/3.41 tff(2474,plain,
% 4.78/3.41 (succ(s25, s26)),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 4.78/3.41 tff(2475,plain,
% 4.78/3.41 (((~![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))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2476,plain,
% 4.78/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2477,plain,
% 4.78/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 4.78/3.41 tff(2478,plain,
% 4.78/3.41 (trans(s25, s26)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2477, 2474, 57])).
% 4.78/3.41 tff(2479,plain,
% 4.78/3.41 (((~![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))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2480,plain,
% 4.78/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 4.78/3.41 inference(quant_inst,[status(thm)],[])).
% 4.78/3.41 tff(2481,plain,
% 4.78/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 4.78/3.41 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 4.78/3.41 tff(2482,plain,
% 4.78/3.41 (node7(s25, s26)),
% 4.78/3.41 inference(unit_resolution,[status(thm)],[2481, 217, 2478])).
% 4.78/3.41 tff(2483,plain,
% 4.78/3.41 (((~![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(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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2484,plain,
% 4.78/3.41 (((~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)))),
% 4.78/3.41 inference(rewrite,[status(thm)],[])).
% 4.78/3.41 tff(2485,plain,
% 4.78/3.41 (((~![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(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))))),
% 4.78/3.41 inference(monotonicity,[status(thm)],[2484])).
% 4.78/3.41 tff(2486,plain,
% 4.78/3.41 (((~![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(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)))),
% 4.78/3.42 inference(transitivity,[status(thm)],[2485, 2483])).
% 4.78/3.42 tff(2487,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2488,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 4.78/3.42 tff(2489,plain,
% 4.78/3.42 ((~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)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2488, 965, 2482])).
% 4.78/3.42 tff(2490,plain,
% 4.78/3.42 (m_main_v_state1(s26, c_c1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2489, 2471, 2395, 2463, 2456, 2403])).
% 4.78/3.42 tff(2491,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2492,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2493,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 4.78/3.42 tff(2494,plain,
% 4.78/3.42 (~m_main_v_state1(s26, c_t1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2493, 289, 2490])).
% 4.78/3.42 tff(2495,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2496,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2497,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 4.78/3.42 tff(2498,plain,
% 4.78/3.42 (~node5(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2497, 300, 2494])).
% 4.78/3.42 tff(2499,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2500,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2501,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 4.78/3.42 tff(2502,plain,
% 4.78/3.42 (node14(s25, s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2501, 130, 2478])).
% 4.78/3.42 tff(2503,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2504,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2505,plain,
% 4.78/3.42 ((~![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)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 4.78/3.42 tff(2506,plain,
% 4.78/3.42 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2505, 893, 2502])).
% 4.78/3.42 tff(2507,plain,
% 4.78/3.42 (m_main_v_state2(s26, c_t2)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2506, 2463, 2395])).
% 4.78/3.42 tff(2508,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2509,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2510,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 4.78/3.42 tff(2511,plain,
% 4.78/3.42 (~m_main_v_state2(s26, c_n2)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2510, 10, 2507])).
% 4.78/3.42 tff(2512,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2513,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2514,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 4.78/3.42 tff(2515,plain,
% 4.78/3.42 (~node4(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2514, 162, 2511])).
% 4.78/3.42 tff(2516,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2517,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2518,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 4.78/3.42 tff(2519,plain,
% 4.78/3.42 (~m_main_v_state2(s26, c_c2)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2518, 173, 2507])).
% 4.78/3.42 tff(2520,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2521,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2522,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 4.78/3.42 tff(2523,plain,
% 4.78/3.42 (~node3(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2522, 184, 2519])).
% 4.78/3.42 tff(2524,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2525,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2526,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 4.78/3.42 tff(2527,plain,
% 4.78/3.42 (~node2(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2526, 195, 2511])).
% 4.78/3.42 tff(2528,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2529,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2530,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 4.78/3.42 tff(2531,plain,
% 4.78/3.42 (~m_main_v_state1(s26, c_n1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2530, 449, 2490])).
% 4.78/3.42 tff(2532,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2533,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2534,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 4.78/3.42 tff(2535,plain,
% 4.78/3.42 (~node1(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2534, 249, 2531])).
% 4.78/3.42 tff(2536,plain,
% 4.78/3.42 (succ(s26, s27) <=> succ(s26, s27)),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2537,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 4.78/3.42 tff(2538,plain,
% 4.78/3.42 (succ(s26, s27)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 4.78/3.42 tff(2539,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2540,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2541,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 4.78/3.42 tff(2542,plain,
% 4.78/3.42 (trans(s26, s27)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2541, 2538, 57])).
% 4.78/3.42 tff(2543,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2544,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2545,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 4.78/3.42 tff(2546,plain,
% 4.78/3.42 (node7(s26, s27)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2545, 217, 2542])).
% 4.78/3.42 tff(2547,plain,
% 4.78/3.42 (((~![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(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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2548,plain,
% 4.78/3.42 (((~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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2549,plain,
% 4.78/3.42 (((~![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(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))))),
% 4.78/3.42 inference(monotonicity,[status(thm)],[2548])).
% 4.78/3.42 tff(2550,plain,
% 4.78/3.42 (((~![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(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)))),
% 4.78/3.42 inference(transitivity,[status(thm)],[2549, 2547])).
% 4.78/3.42 tff(2551,plain,
% 4.78/3.42 ((~![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(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2552,plain,
% 4.78/3.42 ((~![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(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 4.78/3.42 tff(2553,plain,
% 4.78/3.42 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2552, 478, 2546])).
% 4.78/3.42 tff(2554,plain,
% 4.78/3.42 (m_main_v_state1(s27, c_n1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2553, 2535, 2490, 2527, 2523, 2515, 2498])).
% 4.78/3.42 tff(2555,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2556,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2557,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 4.78/3.42 tff(2558,plain,
% 4.78/3.42 (~node15(s25)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2557, 21, 2467])).
% 4.78/3.42 tff(2559,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2560,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2561,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 4.78/3.42 tff(2562,plain,
% 4.78/3.42 (node18(s25, s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2561, 71, 2478])).
% 4.78/3.42 tff(2563,plain,
% 4.78/3.42 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2564,plain,
% 4.78/3.42 (((~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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2565,plain,
% 4.78/3.42 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.78/3.42 inference(monotonicity,[status(thm)],[2564])).
% 4.78/3.42 tff(2566,plain,
% 4.78/3.42 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.42 inference(transitivity,[status(thm)],[2565, 2563])).
% 4.78/3.42 tff(2567,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2568,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 4.78/3.42 tff(2569,plain,
% 4.78/3.42 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2568, 863, 2562])).
% 4.78/3.42 tff(2570,plain,
% 4.78/3.42 (m_main_v_turn(s26, c_1)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2569, 2558, 2395, 2463])).
% 4.78/3.42 tff(2571,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2572,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2573,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 4.78/3.42 tff(2574,plain,
% 4.78/3.42 (~m_main_v_turn(s26, c_2)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2573, 322, 2570])).
% 4.78/3.42 tff(2575,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2576,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2577,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 4.78/3.42 tff(2578,plain,
% 4.78/3.42 (~node12(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2577, 350, 2574])).
% 4.78/3.42 tff(2579,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2580,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2581,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 4.78/3.42 tff(2582,plain,
% 4.78/3.42 (~node8(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2581, 383, 2511])).
% 4.78/3.42 tff(2583,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2584,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2585,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 4.78/3.42 tff(2586,plain,
% 4.78/3.42 (~node9(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2585, 311, 2511])).
% 4.78/3.42 tff(2587,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2588,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2589,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 4.78/3.42 tff(2590,plain,
% 4.78/3.42 (~node10(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2589, 372, 2511])).
% 4.78/3.42 tff(2591,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2592,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2593,plain,
% 4.78/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 4.78/3.42 tff(2594,plain,
% 4.78/3.42 (~node11(s26)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2593, 361, 2531])).
% 4.78/3.42 tff(2595,plain,
% 4.78/3.42 (((~![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))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2596,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2597,plain,
% 4.78/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 4.78/3.42 tff(2598,plain,
% 4.78/3.42 (node14(s26, s27)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2597, 130, 2542])).
% 4.78/3.42 tff(2599,plain,
% 4.78/3.42 (((~![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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2600,plain,
% 4.78/3.42 ((~![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)))),
% 4.78/3.42 inference(quant_inst,[status(thm)],[])).
% 4.78/3.42 tff(2601,plain,
% 4.78/3.42 ((~![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))),
% 4.78/3.42 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 4.78/3.42 tff(2602,plain,
% 4.78/3.42 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2601, 401, 2598])).
% 4.78/3.42 tff(2603,plain,
% 4.78/3.42 (node13(s26, s27)),
% 4.78/3.42 inference(unit_resolution,[status(thm)],[2602, 2594, 2519, 2590, 2586, 2582, 2578])).
% 4.78/3.42 tff(2604,plain,
% 4.78/3.42 (((~![V: $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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2605,plain,
% 4.78/3.42 (((~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)))),
% 4.78/3.42 inference(rewrite,[status(thm)],[])).
% 4.78/3.42 tff(2606,plain,
% 4.78/3.42 (((~![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))))),
% 4.78/3.43 inference(monotonicity,[status(thm)],[2605])).
% 4.78/3.43 tff(2607,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(transitivity,[status(thm)],[2606, 2604])).
% 4.78/3.43 tff(2608,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2609,plain,
% 4.78/3.43 ((~![V: $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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 4.78/3.43 tff(2610,plain,
% 4.78/3.43 (m_main_v_state2(s27, c_t2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2609, 563, 2507, 2603])).
% 4.78/3.43 tff(2611,plain,
% 4.78/3.43 (succ(s27, s28) <=> succ(s27, s28)),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2612,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 4.78/3.43 tff(2613,plain,
% 4.78/3.43 (succ(s27, s28)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 4.78/3.43 tff(2614,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2615,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2616,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 4.78/3.43 tff(2617,plain,
% 4.78/3.43 (trans(s27, s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2616, 2613, 57])).
% 4.78/3.43 tff(2618,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2619,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2620,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 4.78/3.43 tff(2621,plain,
% 4.78/3.43 (node7(s27, s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2620, 217, 2617])).
% 4.78/3.43 tff(2622,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2623,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2624,plain,
% 4.78/3.43 ((~![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)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 4.78/3.43 tff(2625,plain,
% 4.78/3.43 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2624, 598, 2621])).
% 4.78/3.43 tff(2626,plain,
% 4.78/3.43 (m_main_v_state1(s28, c_t1)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2625, 2610, 2554])).
% 4.78/3.43 tff(2627,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2628,plain,
% 4.78/3.43 ((~![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)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2629,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 4.78/3.43 tff(2630,plain,
% 4.78/3.43 (~m_main_v_state1(s28, c_n1)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2629, 35, 2626])).
% 4.78/3.43 tff(2631,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2632,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2633,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 4.78/3.43 tff(2634,plain,
% 4.78/3.43 (~node1(s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2633, 249, 2630])).
% 4.78/3.43 tff(2635,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2636,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2637,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 4.78/3.43 tff(2638,plain,
% 4.78/3.43 (node18(s27, s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2637, 71, 2617])).
% 4.78/3.43 tff(2639,plain,
% 4.78/3.43 (((~![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(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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2640,plain,
% 4.78/3.43 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2641,plain,
% 4.78/3.43 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 4.78/3.43 tff(2642,plain,
% 4.78/3.43 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2641, 625, 2638])).
% 4.78/3.43 tff(2643,plain,
% 4.78/3.43 (m_main_v_turn(s28, c_2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2642, 2610, 2554])).
% 4.78/3.43 tff(2644,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2645,plain,
% 4.78/3.43 ((~![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)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2646,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 4.78/3.43 tff(2647,plain,
% 4.78/3.43 (~m_main_v_turn(s28, c_1)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2646, 322, 2643])).
% 4.78/3.43 tff(2648,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2649,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2650,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 4.78/3.43 tff(2651,plain,
% 4.78/3.43 (~node5(s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2650, 641, 2647])).
% 4.78/3.43 tff(2652,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2653,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2654,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 4.78/3.43 tff(2655,plain,
% 4.78/3.43 (~node2(s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2654, 652, 2630])).
% 4.78/3.43 tff(2656,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2657,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2658,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 4.78/3.43 tff(2659,plain,
% 4.78/3.43 (~node3(s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2658, 663, 2630])).
% 4.78/3.43 tff(2660,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2661,plain,
% 4.78/3.43 ((~![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)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2662,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 4.78/3.43 tff(2663,plain,
% 4.78/3.43 (~m_main_v_state1(s28, c_c1)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2662, 289, 2626])).
% 4.78/3.43 tff(2664,plain,
% 4.78/3.43 (((~![V: $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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2665,plain,
% 4.78/3.43 (((~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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2666,plain,
% 4.78/3.43 (((~![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))))),
% 4.78/3.43 inference(monotonicity,[status(thm)],[2665])).
% 4.78/3.43 tff(2667,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(transitivity,[status(thm)],[2666, 2664])).
% 4.78/3.43 tff(2668,plain,
% 4.78/3.43 ((~![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)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2669,plain,
% 4.78/3.43 ((~![V: $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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 4.78/3.43 tff(2670,plain,
% 4.78/3.43 (~m_main_v_state2(s27, c_n2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2669, 416, 2511, 2603])).
% 4.78/3.43 tff(2671,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2672,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2673,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 4.78/3.43 tff(2674,plain,
% 4.78/3.43 (~node9(s27)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2673, 311, 2670])).
% 4.78/3.43 tff(2675,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2676,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2677,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 4.78/3.43 tff(2678,plain,
% 4.78/3.43 (~node10(s27)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2677, 372, 2670])).
% 4.78/3.43 tff(2679,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2680,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2681,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 4.78/3.43 tff(2682,plain,
% 4.78/3.43 (~node8(s27)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2681, 383, 2670])).
% 4.78/3.43 tff(2683,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2684,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2685,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 4.78/3.43 tff(2686,plain,
% 4.78/3.43 (node14(s27, s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2685, 130, 2617])).
% 4.78/3.43 tff(2687,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2688,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2689,plain,
% 4.78/3.43 ((~![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)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 4.78/3.43 tff(2690,plain,
% 4.78/3.43 ((~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)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2689, 704, 2686])).
% 4.78/3.43 tff(2691,plain,
% 4.78/3.43 (m_main_v_state2(s28, c_c2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2690, 2682, 2554, 2610, 2678, 2674])).
% 4.78/3.43 tff(2692,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2693,plain,
% 4.78/3.43 ((~![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)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2694,plain,
% 4.78/3.43 ((~![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))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 4.78/3.43 tff(2695,plain,
% 4.78/3.43 (~m_main_v_state2(s28, c_n2)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2694, 716, 2691])).
% 4.78/3.43 tff(2696,plain,
% 4.78/3.43 (((~![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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2697,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2698,plain,
% 4.78/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 4.78/3.43 tff(2699,plain,
% 4.78/3.43 (~node4(s28)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2698, 162, 2695])).
% 4.78/3.43 tff(2700,plain,
% 4.78/3.43 (succ(s28, s29) <=> succ(s28, s29)),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2701,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 4.78/3.43 tff(2702,plain,
% 4.78/3.43 (succ(s28, s29)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 4.78/3.43 tff(2703,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2704,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2705,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 4.78/3.43 tff(2706,plain,
% 4.78/3.43 (trans(s28, s29)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2705, 2702, 57])).
% 4.78/3.43 tff(2707,plain,
% 4.78/3.43 (((~![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))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2708,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2709,plain,
% 4.78/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 4.78/3.43 tff(2710,plain,
% 4.78/3.43 (node7(s28, s29)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2709, 217, 2706])).
% 4.78/3.43 tff(2711,plain,
% 4.78/3.43 (((~![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(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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2712,plain,
% 4.78/3.43 ((~![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(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 4.78/3.43 inference(quant_inst,[status(thm)],[])).
% 4.78/3.43 tff(2713,plain,
% 4.78/3.43 ((~![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(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 4.78/3.43 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 4.78/3.43 tff(2714,plain,
% 4.78/3.43 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2713, 745, 2710])).
% 4.78/3.43 tff(2715,plain,
% 4.78/3.43 (node6(s28, s29)),
% 4.78/3.43 inference(unit_resolution,[status(thm)],[2714, 2699, 2663, 2659, 2655, 2651, 2634])).
% 4.78/3.43 tff(2716,plain,
% 4.78/3.43 (((~![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(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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2717,plain,
% 4.78/3.43 (((~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)))),
% 4.78/3.43 inference(rewrite,[status(thm)],[])).
% 4.78/3.43 tff(2718,plain,
% 4.78/3.43 (((~![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))))),
% 4.78/3.44 inference(monotonicity,[status(thm)],[2717])).
% 4.78/3.44 tff(2719,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(transitivity,[status(thm)],[2718, 2716])).
% 4.78/3.44 tff(2720,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2721,plain,
% 4.78/3.44 ((~![V: $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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 4.78/3.44 tff(2722,plain,
% 4.78/3.44 (m_main_v_state1(s29, c_t1)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2721, 760, 2626, 2715])).
% 4.78/3.44 tff(2723,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2724,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2725,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 4.78/3.44 tff(2726,plain,
% 4.78/3.44 (~m_main_v_state2(s28, c_t2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2725, 173, 2691])).
% 4.78/3.44 tff(2727,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2728,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2729,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 4.78/3.44 tff(2730,plain,
% 4.78/3.44 (~node12(s28)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2729, 778, 2726])).
% 4.78/3.44 tff(2731,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2732,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2733,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 4.78/3.44 tff(2734,plain,
% 4.78/3.44 (~node11(s28)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2733, 361, 2630])).
% 4.78/3.44 tff(2735,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2736,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2737,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 4.78/3.44 tff(2738,plain,
% 4.78/3.44 (~node10(s28)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2737, 793, 2663])).
% 4.78/3.44 tff(2739,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2740,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2741,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 4.78/3.44 tff(2742,plain,
% 4.78/3.44 (~node9(s28)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2741, 804, 2630])).
% 4.78/3.44 tff(2743,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2744,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2745,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 4.78/3.44 tff(2746,plain,
% 4.78/3.44 (~node8(s28)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2745, 383, 2695])).
% 4.78/3.44 tff(2747,plain,
% 4.78/3.44 (((~![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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2748,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2749,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 4.78/3.44 tff(2750,plain,
% 4.78/3.44 (node14(s28, s29)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2749, 130, 2706])).
% 4.78/3.44 tff(2751,plain,
% 4.78/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2752,plain,
% 4.78/3.44 (((~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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2753,plain,
% 4.78/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.78/3.44 inference(monotonicity,[status(thm)],[2752])).
% 4.78/3.44 tff(2754,plain,
% 4.78/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.44 inference(transitivity,[status(thm)],[2753, 2751])).
% 4.78/3.44 tff(2755,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2756,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 4.78/3.44 tff(2757,plain,
% 4.78/3.44 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2756, 826, 2750])).
% 4.78/3.44 tff(2758,plain,
% 4.78/3.44 (m_main_v_state2(s29, c_n2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2757, 2746, 2691, 2742, 2738, 2734, 2730])).
% 4.78/3.44 tff(2759,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2760,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2761,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 4.78/3.44 tff(2762,plain,
% 4.78/3.44 (~m_main_v_state2(s29, c_t2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2761, 10, 2758])).
% 4.78/3.44 tff(2763,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2764,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2765,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 4.78/3.44 tff(2766,plain,
% 4.78/3.44 (~node15(s29)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2765, 21, 2762])).
% 4.78/3.44 tff(2767,plain,
% 4.78/3.44 (succ(s29, s30) <=> succ(s29, s30)),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2768,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 4.78/3.44 tff(2769,plain,
% 4.78/3.44 (succ(s29, s30)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 4.78/3.44 tff(2770,plain,
% 4.78/3.44 (((~![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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2771,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2772,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 4.78/3.44 tff(2773,plain,
% 4.78/3.44 (trans(s29, s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2772, 2769, 57])).
% 4.78/3.44 tff(2774,plain,
% 4.78/3.44 (((~![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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2775,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2776,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 4.78/3.44 tff(2777,plain,
% 4.78/3.44 (node18(s29, s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2776, 71, 2773])).
% 4.78/3.44 tff(2778,plain,
% 4.78/3.44 (((~![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(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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2779,plain,
% 4.78/3.44 (((~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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2780,plain,
% 4.78/3.44 (((~![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(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)))),
% 4.78/3.44 inference(monotonicity,[status(thm)],[2779])).
% 4.78/3.44 tff(2781,plain,
% 4.78/3.44 (((~![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(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))),
% 4.78/3.44 inference(transitivity,[status(thm)],[2780, 2778])).
% 4.78/3.44 tff(2782,plain,
% 4.78/3.44 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2783,plain,
% 4.78/3.44 ((~![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(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)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 4.78/3.44 tff(2784,plain,
% 4.78/3.44 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2783, 863, 2777])).
% 4.78/3.44 tff(2785,plain,
% 4.78/3.44 (m_main_v_turn(s30, c_1)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2784, 2766, 2758, 2722])).
% 4.78/3.44 tff(2786,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2787,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2788,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 4.78/3.44 tff(2789,plain,
% 4.78/3.44 (~m_main_v_turn(s30, c_2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2788, 322, 2785])).
% 4.78/3.44 tff(2790,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2791,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2792,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 4.78/3.44 tff(2793,plain,
% 4.78/3.44 (~node12(s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2792, 350, 2789])).
% 4.78/3.44 tff(2794,plain,
% 4.78/3.44 (((~![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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2795,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2796,plain,
% 4.78/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 4.78/3.44 tff(2797,plain,
% 4.78/3.44 (node14(s29, s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2796, 130, 2773])).
% 4.78/3.44 tff(2798,plain,
% 4.78/3.44 (((~![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))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2799,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2800,plain,
% 4.78/3.44 ((~![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)),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 4.78/3.44 tff(2801,plain,
% 4.78/3.44 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2800, 893, 2797])).
% 4.78/3.44 tff(2802,plain,
% 4.78/3.44 (m_main_v_state2(s30, c_t2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2801, 2722, 2758])).
% 4.78/3.44 tff(2803,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2804,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2805,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 4.78/3.44 tff(2806,plain,
% 4.78/3.44 (~m_main_v_state2(s30, c_n2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2805, 10, 2802])).
% 4.78/3.44 tff(2807,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2808,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2809,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 4.78/3.44 tff(2810,plain,
% 4.78/3.44 (~node8(s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2809, 383, 2806])).
% 4.78/3.44 tff(2811,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2812,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2813,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 4.78/3.44 tff(2814,plain,
% 4.78/3.44 (~node9(s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2813, 311, 2806])).
% 4.78/3.44 tff(2815,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2816,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2817,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 4.78/3.44 tff(2818,plain,
% 4.78/3.44 (~node10(s30)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2817, 372, 2806])).
% 4.78/3.44 tff(2819,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2820,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2821,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 4.78/3.44 tff(2822,plain,
% 4.78/3.44 (~m_main_v_state2(s30, c_c2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2821, 173, 2802])).
% 4.78/3.44 tff(2823,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2824,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2825,plain,
% 4.78/3.44 ((~![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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 4.78/3.44 tff(2826,plain,
% 4.78/3.44 (~m_main_v_state2(s29, c_c2)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2825, 716, 2758])).
% 4.78/3.44 tff(2827,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2828,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2829,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 4.78/3.44 tff(2830,plain,
% 4.78/3.44 (~node3(s29)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2829, 184, 2826])).
% 4.78/3.44 tff(2831,plain,
% 4.78/3.44 (((~![V: $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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2832,plain,
% 4.78/3.44 (((~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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2833,plain,
% 4.78/3.44 (((~![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))))),
% 4.78/3.44 inference(monotonicity,[status(thm)],[2832])).
% 4.78/3.44 tff(2834,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(transitivity,[status(thm)],[2833, 2831])).
% 4.78/3.44 tff(2835,plain,
% 4.78/3.44 ((~![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)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2836,plain,
% 4.78/3.44 ((~![V: $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))),
% 4.78/3.44 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 4.78/3.44 tff(2837,plain,
% 4.78/3.44 (~m_main_v_state1(s29, c_n1)),
% 4.78/3.44 inference(unit_resolution,[status(thm)],[2836, 936, 2630, 2715])).
% 4.78/3.44 tff(2838,plain,
% 4.78/3.44 (((~![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)))),
% 4.78/3.44 inference(rewrite,[status(thm)],[])).
% 4.78/3.44 tff(2839,plain,
% 4.78/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 4.78/3.44 inference(quant_inst,[status(thm)],[])).
% 4.78/3.44 tff(2840,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 4.78/3.45 tff(2841,plain,
% 4.78/3.45 (~node2(s29)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2840, 652, 2837])).
% 4.78/3.45 tff(2842,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2843,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2844,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 4.78/3.45 tff(2845,plain,
% 4.78/3.45 (~node1(s29)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2844, 206, 2762])).
% 4.78/3.45 tff(2846,plain,
% 4.78/3.45 (((~![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))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2847,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2848,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 4.78/3.45 tff(2849,plain,
% 4.78/3.45 (node7(s29, s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2848, 217, 2773])).
% 4.78/3.45 tff(2850,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2851,plain,
% 4.78/3.45 (((~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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2852,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.78/3.45 inference(monotonicity,[status(thm)],[2851])).
% 4.78/3.45 tff(2853,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.78/3.45 inference(transitivity,[status(thm)],[2852, 2850])).
% 4.78/3.45 tff(2854,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2855,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 4.78/3.45 tff(2856,plain,
% 4.78/3.45 ((~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)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2855, 965, 2849])).
% 4.78/3.45 tff(2857,plain,
% 4.78/3.45 (m_main_v_state1(s30, c_c1)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2856, 2845, 2758, 2722, 2841, 2830])).
% 4.78/3.45 tff(2858,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2859,plain,
% 4.78/3.45 ((~![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)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2860,plain,
% 4.78/3.45 ((~![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))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 4.78/3.45 tff(2861,plain,
% 4.78/3.45 (~m_main_v_state1(s30, c_n1)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2860, 449, 2857])).
% 4.78/3.45 tff(2862,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2863,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2864,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 4.78/3.45 tff(2865,plain,
% 4.78/3.45 (~node11(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2864, 361, 2861])).
% 4.78/3.45 tff(2866,plain,
% 4.78/3.45 (succ(s30, s31) <=> succ(s30, s31)),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2867,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 4.78/3.45 tff(2868,plain,
% 4.78/3.45 (succ(s30, s31)),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 4.78/3.45 tff(2869,plain,
% 4.78/3.45 (((~![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))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2870,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2871,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 4.78/3.45 tff(2872,plain,
% 4.78/3.45 (trans(s30, s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2871, 2868, 57])).
% 4.78/3.45 tff(2873,plain,
% 4.78/3.45 (((~![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))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2874,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2875,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 4.78/3.45 tff(2876,plain,
% 4.78/3.45 (node14(s30, s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2875, 130, 2872])).
% 4.78/3.45 tff(2877,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2878,plain,
% 4.78/3.45 ((~![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)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2879,plain,
% 4.78/3.45 ((~![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))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 4.78/3.45 tff(2880,plain,
% 4.78/3.45 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2879, 401, 2876])).
% 4.78/3.45 tff(2881,plain,
% 4.78/3.45 (node13(s30, s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2880, 2865, 2822, 2818, 2814, 2810, 2793])).
% 4.78/3.45 tff(2882,plain,
% 4.78/3.45 (((~![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(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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2883,plain,
% 4.78/3.45 (((~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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2884,plain,
% 4.78/3.45 (((~![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))))),
% 4.78/3.45 inference(monotonicity,[status(thm)],[2883])).
% 4.78/3.45 tff(2885,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(transitivity,[status(thm)],[2884, 2882])).
% 4.78/3.45 tff(2886,plain,
% 4.78/3.45 ((~![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)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2887,plain,
% 4.78/3.45 ((~![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(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 4.78/3.45 tff(2888,plain,
% 4.78/3.45 (~m_main_v_state2(s31, c_n2)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2887, 416, 2806, 2881])).
% 4.78/3.45 tff(2889,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2890,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2891,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 4.78/3.45 tff(2892,plain,
% 4.78/3.45 (~node9(s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2891, 311, 2888])).
% 4.78/3.45 tff(2893,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2894,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2895,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 4.78/3.45 tff(2896,plain,
% 4.78/3.45 (~node10(s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2895, 372, 2888])).
% 4.78/3.45 tff(2897,plain,
% 4.78/3.45 (((~![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(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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2898,plain,
% 4.78/3.45 (((~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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2899,plain,
% 4.78/3.45 (((~![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))))),
% 4.78/3.45 inference(monotonicity,[status(thm)],[2898])).
% 4.78/3.45 tff(2900,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(transitivity,[status(thm)],[2899, 2897])).
% 4.78/3.45 tff(2901,plain,
% 4.78/3.45 ((~![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))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2902,plain,
% 4.78/3.45 ((~![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(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 4.78/3.45 tff(2903,plain,
% 4.78/3.45 (m_main_v_state2(s31, c_t2)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2902, 563, 2802, 2881])).
% 4.78/3.45 tff(2904,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2905,plain,
% 4.78/3.45 ((~![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)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2906,plain,
% 4.78/3.45 ((~![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))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 4.78/3.45 tff(2907,plain,
% 4.78/3.45 (~m_main_v_state1(s30, c_t1)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2906, 289, 2857])).
% 4.78/3.45 tff(2908,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2909,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2910,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 4.78/3.45 tff(2911,plain,
% 4.78/3.45 (~node5(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2910, 300, 2907])).
% 4.78/3.45 tff(2912,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2913,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2914,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 4.78/3.45 tff(2915,plain,
% 4.78/3.45 (~node4(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2914, 162, 2806])).
% 4.78/3.45 tff(2916,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2917,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2918,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 4.78/3.45 tff(2919,plain,
% 4.78/3.45 (~node3(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2918, 184, 2822])).
% 4.78/3.45 tff(2920,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2921,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2922,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 4.78/3.45 tff(2923,plain,
% 4.78/3.45 (~node2(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2922, 195, 2806])).
% 4.78/3.45 tff(2924,plain,
% 4.78/3.45 (((~![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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2925,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2926,plain,
% 4.78/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 4.78/3.45 tff(2927,plain,
% 4.78/3.45 (~node1(s30)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2926, 249, 2861])).
% 4.78/3.45 tff(2928,plain,
% 4.78/3.45 (((~![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))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2929,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2930,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 4.78/3.45 tff(2931,plain,
% 4.78/3.45 (node7(s30, s31)),
% 4.78/3.45 inference(unit_resolution,[status(thm)],[2930, 217, 2872])).
% 4.78/3.45 tff(2932,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2933,plain,
% 4.78/3.45 (((~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)))),
% 4.78/3.45 inference(rewrite,[status(thm)],[])).
% 4.78/3.45 tff(2934,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.78/3.45 inference(monotonicity,[status(thm)],[2933])).
% 4.78/3.45 tff(2935,plain,
% 4.78/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.78/3.45 inference(transitivity,[status(thm)],[2934, 2932])).
% 4.78/3.45 tff(2936,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.78/3.45 inference(quant_inst,[status(thm)],[])).
% 4.78/3.45 tff(2937,plain,
% 4.78/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.78/3.45 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 4.78/3.45 tff(2938,plain,
% 4.78/3.45 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2937, 478, 2931])).
% 4.78/3.46 tff(2939,plain,
% 4.78/3.46 (m_main_v_state1(s31, c_n1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2938, 2927, 2857, 2923, 2919, 2915, 2911])).
% 4.78/3.46 tff(2940,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2941,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2942,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 4.78/3.46 tff(2943,plain,
% 4.78/3.46 (~node8(s31)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2942, 383, 2888])).
% 4.78/3.46 tff(2944,plain,
% 4.78/3.46 (succ(s31, s32) <=> succ(s31, s32)),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2945,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 4.78/3.46 tff(2946,plain,
% 4.78/3.46 (succ(s31, s32)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 4.78/3.46 tff(2947,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2948,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2949,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 4.78/3.46 tff(2950,plain,
% 4.78/3.46 (trans(s31, s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2949, 2946, 57])).
% 4.78/3.46 tff(2951,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2952,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2953,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 4.78/3.46 tff(2954,plain,
% 4.78/3.46 (node14(s31, s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2953, 130, 2950])).
% 4.78/3.46 tff(2955,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2956,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2957,plain,
% 4.78/3.46 ((~![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)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 4.78/3.46 tff(2958,plain,
% 4.78/3.46 ((~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)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2957, 704, 2954])).
% 4.78/3.46 tff(2959,plain,
% 4.78/3.46 (m_main_v_state2(s32, c_c2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2958, 2943, 2939, 2903, 2896, 2892])).
% 4.78/3.46 tff(2960,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2961,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2962,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 4.78/3.46 tff(2963,plain,
% 4.78/3.46 (~m_main_v_state2(s32, c_t2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2962, 173, 2959])).
% 4.78/3.46 tff(2964,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2965,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2966,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 4.78/3.46 tff(2967,plain,
% 4.78/3.46 (~node12(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2966, 778, 2963])).
% 4.78/3.46 tff(2968,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2969,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2970,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 4.78/3.46 tff(2971,plain,
% 4.78/3.46 (node7(s31, s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2970, 217, 2950])).
% 4.78/3.46 tff(2972,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2973,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2974,plain,
% 4.78/3.46 ((~![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)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 4.78/3.46 tff(2975,plain,
% 4.78/3.46 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2974, 598, 2971])).
% 4.78/3.46 tff(2976,plain,
% 4.78/3.46 (m_main_v_state1(s32, c_t1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2975, 2903, 2939])).
% 4.78/3.46 tff(2977,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2978,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2979,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 4.78/3.46 tff(2980,plain,
% 4.78/3.46 (~m_main_v_state1(s32, c_n1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2979, 35, 2976])).
% 4.78/3.46 tff(2981,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2982,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2983,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 4.78/3.46 tff(2984,plain,
% 4.78/3.46 (~node11(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2983, 361, 2980])).
% 4.78/3.46 tff(2985,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2986,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2987,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 4.78/3.46 tff(2988,plain,
% 4.78/3.46 (~m_main_v_state1(s32, c_c1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2987, 289, 2976])).
% 4.78/3.46 tff(2989,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2990,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2991,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 4.78/3.46 tff(2992,plain,
% 4.78/3.46 (~node10(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2991, 793, 2988])).
% 4.78/3.46 tff(2993,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2994,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2995,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 4.78/3.46 tff(2996,plain,
% 4.78/3.46 (~node9(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2995, 804, 2980])).
% 4.78/3.46 tff(2997,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(2998,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(2999,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 4.78/3.46 tff(3000,plain,
% 4.78/3.46 (~m_main_v_state2(s32, c_n2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[2999, 716, 2959])).
% 4.78/3.46 tff(3001,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3002,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3003,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 4.78/3.46 tff(3004,plain,
% 4.78/3.46 (~node8(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3003, 383, 3000])).
% 4.78/3.46 tff(3005,plain,
% 4.78/3.46 (succ(s32, s33) <=> succ(s32, s33)),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3006,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 4.78/3.46 tff(3007,plain,
% 4.78/3.46 (succ(s32, s33)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 4.78/3.46 tff(3008,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3009,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3010,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 4.78/3.46 tff(3011,plain,
% 4.78/3.46 (trans(s32, s33)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3010, 3007, 57])).
% 4.78/3.46 tff(3012,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3013,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3014,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 4.78/3.46 tff(3015,plain,
% 4.78/3.46 (node14(s32, s33)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3014, 130, 3011])).
% 4.78/3.46 tff(3016,plain,
% 4.78/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3017,plain,
% 4.78/3.46 (((~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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3018,plain,
% 4.78/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.78/3.46 inference(monotonicity,[status(thm)],[3017])).
% 4.78/3.46 tff(3019,plain,
% 4.78/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.46 inference(transitivity,[status(thm)],[3018, 3016])).
% 4.78/3.46 tff(3020,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3021,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 4.78/3.46 tff(3022,plain,
% 4.78/3.46 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3021, 826, 3015])).
% 4.78/3.46 tff(3023,plain,
% 4.78/3.46 (m_main_v_state2(s33, c_n2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3022, 3004, 2959, 2996, 2992, 2984, 2967])).
% 4.78/3.46 tff(3024,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3025,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3026,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 4.78/3.46 tff(3027,plain,
% 4.78/3.46 (~m_main_v_state2(s33, c_c2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3026, 716, 3023])).
% 4.78/3.46 tff(3028,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3029,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3030,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 4.78/3.46 tff(3031,plain,
% 4.78/3.46 (~node3(s33)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3030, 184, 3027])).
% 4.78/3.46 tff(3032,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3033,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3034,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 4.78/3.46 tff(3035,plain,
% 4.78/3.46 (~node1(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3034, 249, 2980])).
% 4.78/3.46 tff(3036,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3037,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3038,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 4.78/3.46 tff(3039,plain,
% 4.78/3.46 (node18(s31, s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3038, 71, 2950])).
% 4.78/3.46 tff(3040,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3041,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3042,plain,
% 4.78/3.46 ((~![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)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 4.78/3.46 tff(3043,plain,
% 4.78/3.46 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3042, 625, 3039])).
% 4.78/3.46 tff(3044,plain,
% 4.78/3.46 (m_main_v_turn(s32, c_2)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3043, 2903, 2939])).
% 4.78/3.46 tff(3045,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3046,plain,
% 4.78/3.46 ((~![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)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3047,plain,
% 4.78/3.46 ((~![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))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 4.78/3.46 tff(3048,plain,
% 4.78/3.46 (~m_main_v_turn(s32, c_1)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3047, 322, 3044])).
% 4.78/3.46 tff(3049,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3050,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3051,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 4.78/3.46 tff(3052,plain,
% 4.78/3.46 (~node5(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3051, 641, 3048])).
% 4.78/3.46 tff(3053,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3054,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3055,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 4.78/3.46 tff(3056,plain,
% 4.78/3.46 (~node2(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3055, 652, 2980])).
% 4.78/3.46 tff(3057,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3058,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3059,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 4.78/3.46 tff(3060,plain,
% 4.78/3.46 (~node3(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3059, 663, 2980])).
% 4.78/3.46 tff(3061,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3062,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3063,plain,
% 4.78/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 4.78/3.46 tff(3064,plain,
% 4.78/3.46 (~node4(s32)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3063, 162, 3000])).
% 4.78/3.46 tff(3065,plain,
% 4.78/3.46 (((~![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))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3066,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 4.78/3.46 inference(quant_inst,[status(thm)],[])).
% 4.78/3.46 tff(3067,plain,
% 4.78/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 4.78/3.46 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 4.78/3.46 tff(3068,plain,
% 4.78/3.46 (node7(s32, s33)),
% 4.78/3.46 inference(unit_resolution,[status(thm)],[3067, 217, 3011])).
% 4.78/3.46 tff(3069,plain,
% 4.78/3.46 (((~![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)))),
% 4.78/3.46 inference(rewrite,[status(thm)],[])).
% 4.78/3.46 tff(3070,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3071,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 4.78/3.47 tff(3072,plain,
% 4.78/3.47 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3071, 745, 3068])).
% 4.78/3.47 tff(3073,plain,
% 4.78/3.47 (node6(s32, s33)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3072, 3064, 2988, 3060, 3056, 3052, 3035])).
% 4.78/3.47 tff(3074,plain,
% 4.78/3.47 (((~![V: $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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3075,plain,
% 4.78/3.47 (((~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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3076,plain,
% 4.78/3.47 (((~![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))))),
% 4.78/3.47 inference(monotonicity,[status(thm)],[3075])).
% 4.78/3.47 tff(3077,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(transitivity,[status(thm)],[3076, 3074])).
% 4.78/3.47 tff(3078,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3079,plain,
% 4.78/3.47 ((~![V: $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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 4.78/3.47 tff(3080,plain,
% 4.78/3.47 (~m_main_v_state1(s33, c_n1)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3079, 936, 2980, 3073])).
% 4.78/3.47 tff(3081,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3082,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3083,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 4.78/3.47 tff(3084,plain,
% 4.78/3.47 (~node2(s33)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3083, 652, 3080])).
% 4.78/3.47 tff(3085,plain,
% 4.78/3.47 (((~![V: $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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3086,plain,
% 4.78/3.47 (((~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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3087,plain,
% 4.78/3.47 (((~![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))))),
% 4.78/3.47 inference(monotonicity,[status(thm)],[3086])).
% 4.78/3.47 tff(3088,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(transitivity,[status(thm)],[3087, 3085])).
% 4.78/3.47 tff(3089,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3090,plain,
% 4.78/3.47 ((~![V: $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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 4.78/3.47 tff(3091,plain,
% 4.78/3.47 (m_main_v_state1(s33, c_t1)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3090, 760, 2976, 3073])).
% 4.78/3.47 tff(3092,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3093,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3094,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 4.78/3.47 tff(3095,plain,
% 4.78/3.47 (~m_main_v_state2(s33, c_t2)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3094, 10, 3023])).
% 4.78/3.47 tff(3096,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3097,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3098,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 4.78/3.47 tff(3099,plain,
% 4.78/3.47 (~node1(s33)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3098, 206, 3095])).
% 4.78/3.47 tff(3100,plain,
% 4.78/3.47 (succ(s33, s34) <=> succ(s33, s34)),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3101,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 4.78/3.47 tff(3102,plain,
% 4.78/3.47 (succ(s33, s34)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 4.78/3.47 tff(3103,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3104,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3105,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 4.78/3.47 tff(3106,plain,
% 4.78/3.47 (trans(s33, s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3105, 3102, 57])).
% 4.78/3.47 tff(3107,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3108,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3109,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 4.78/3.47 tff(3110,plain,
% 4.78/3.47 (node7(s33, s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3109, 217, 3106])).
% 4.78/3.47 tff(3111,plain,
% 4.78/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3112,plain,
% 4.78/3.47 (((~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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3113,plain,
% 4.78/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.78/3.47 inference(monotonicity,[status(thm)],[3112])).
% 4.78/3.47 tff(3114,plain,
% 4.78/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.78/3.47 inference(transitivity,[status(thm)],[3113, 3111])).
% 4.78/3.47 tff(3115,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3116,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 4.78/3.47 tff(3117,plain,
% 4.78/3.47 ((~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)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3116, 965, 3110])).
% 4.78/3.47 tff(3118,plain,
% 4.78/3.47 (m_main_v_state1(s34, c_c1)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3117, 3099, 3023, 3091, 3084, 3031])).
% 4.78/3.47 tff(3119,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3120,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3121,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 4.78/3.47 tff(3122,plain,
% 4.78/3.47 (~m_main_v_state1(s34, c_t1)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3121, 289, 3118])).
% 4.78/3.47 tff(3123,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3124,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3125,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 4.78/3.47 tff(3126,plain,
% 4.78/3.47 (~node5(s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3125, 300, 3122])).
% 4.78/3.47 tff(3127,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3128,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3129,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 4.78/3.47 tff(3130,plain,
% 4.78/3.47 (node14(s33, s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3129, 130, 3106])).
% 4.78/3.47 tff(3131,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3132,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3133,plain,
% 4.78/3.47 ((~![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)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 4.78/3.47 tff(3134,plain,
% 4.78/3.47 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3133, 893, 3130])).
% 4.78/3.47 tff(3135,plain,
% 4.78/3.47 (m_main_v_state2(s34, c_t2)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3134, 3091, 3023])).
% 4.78/3.47 tff(3136,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3137,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3138,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 4.78/3.47 tff(3139,plain,
% 4.78/3.47 (~m_main_v_state2(s34, c_n2)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3138, 10, 3135])).
% 4.78/3.47 tff(3140,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3141,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3142,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 4.78/3.47 tff(3143,plain,
% 4.78/3.47 (~node4(s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3142, 162, 3139])).
% 4.78/3.47 tff(3144,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3145,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3146,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 4.78/3.47 tff(3147,plain,
% 4.78/3.47 (~m_main_v_state2(s34, c_c2)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3146, 173, 3135])).
% 4.78/3.47 tff(3148,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3149,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3150,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 4.78/3.47 tff(3151,plain,
% 4.78/3.47 (~node3(s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3150, 184, 3147])).
% 4.78/3.47 tff(3152,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3153,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3154,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 4.78/3.47 tff(3155,plain,
% 4.78/3.47 (~node2(s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3154, 195, 3139])).
% 4.78/3.47 tff(3156,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3157,plain,
% 4.78/3.47 ((~![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)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3158,plain,
% 4.78/3.47 ((~![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))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 4.78/3.47 tff(3159,plain,
% 4.78/3.47 (~m_main_v_state1(s34, c_n1)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3158, 449, 3118])).
% 4.78/3.47 tff(3160,plain,
% 4.78/3.47 (((~![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)))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3161,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3162,plain,
% 4.78/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 4.78/3.47 tff(3163,plain,
% 4.78/3.47 (~node1(s34)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3162, 249, 3159])).
% 4.78/3.47 tff(3164,plain,
% 4.78/3.47 (succ(s34, s35) <=> succ(s34, s35)),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3165,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 4.78/3.47 tff(3166,plain,
% 4.78/3.47 (succ(s34, s35)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 4.78/3.47 tff(3167,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3168,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3169,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 4.78/3.47 tff(3170,plain,
% 4.78/3.47 (trans(s34, s35)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3169, 3166, 57])).
% 4.78/3.47 tff(3171,plain,
% 4.78/3.47 (((~![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))),
% 4.78/3.47 inference(rewrite,[status(thm)],[])).
% 4.78/3.47 tff(3172,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 4.78/3.47 inference(quant_inst,[status(thm)],[])).
% 4.78/3.47 tff(3173,plain,
% 4.78/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 4.78/3.47 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 4.78/3.47 tff(3174,plain,
% 4.78/3.47 (node7(s34, s35)),
% 4.78/3.47 inference(unit_resolution,[status(thm)],[3173, 217, 3170])).
% 4.78/3.47 tff(3175,plain,
% 4.78/3.47 (((~![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(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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3176,plain,
% 4.78/3.48 (((~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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3177,plain,
% 4.78/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.78/3.48 inference(monotonicity,[status(thm)],[3176])).
% 4.78/3.48 tff(3178,plain,
% 4.78/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.78/3.48 inference(transitivity,[status(thm)],[3177, 3175])).
% 4.78/3.48 tff(3179,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3180,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 4.78/3.48 tff(3181,plain,
% 4.78/3.48 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3180, 478, 3174])).
% 4.78/3.48 tff(3182,plain,
% 4.78/3.48 (m_main_v_state1(s35, c_n1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3181, 3163, 3118, 3155, 3151, 3143, 3126])).
% 4.78/3.48 tff(3183,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3184,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3185,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 4.78/3.48 tff(3186,plain,
% 4.78/3.48 (~node15(s33)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3185, 21, 3095])).
% 4.78/3.48 tff(3187,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3188,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3189,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 4.78/3.48 tff(3190,plain,
% 4.78/3.48 (node18(s33, s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3189, 71, 3106])).
% 4.78/3.48 tff(3191,plain,
% 4.78/3.48 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3192,plain,
% 4.78/3.48 (((~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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3193,plain,
% 4.78/3.48 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.78/3.48 inference(monotonicity,[status(thm)],[3192])).
% 4.78/3.48 tff(3194,plain,
% 4.78/3.48 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.48 inference(transitivity,[status(thm)],[3193, 3191])).
% 4.78/3.48 tff(3195,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3196,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 4.78/3.48 tff(3197,plain,
% 4.78/3.48 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3196, 863, 3190])).
% 4.78/3.48 tff(3198,plain,
% 4.78/3.48 (m_main_v_turn(s34, c_1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3197, 3186, 3023, 3091])).
% 4.78/3.48 tff(3199,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3200,plain,
% 4.78/3.48 ((~![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)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3201,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 4.78/3.48 tff(3202,plain,
% 4.78/3.48 (~m_main_v_turn(s34, c_2)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3201, 322, 3198])).
% 4.78/3.48 tff(3203,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3204,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3205,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 4.78/3.48 tff(3206,plain,
% 4.78/3.48 (~node12(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3205, 350, 3202])).
% 4.78/3.48 tff(3207,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3208,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3209,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 4.78/3.48 tff(3210,plain,
% 4.78/3.48 (~node8(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3209, 383, 3139])).
% 4.78/3.48 tff(3211,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3212,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3213,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 4.78/3.48 tff(3214,plain,
% 4.78/3.48 (~node9(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3213, 311, 3139])).
% 4.78/3.48 tff(3215,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3216,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3217,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 4.78/3.48 tff(3218,plain,
% 4.78/3.48 (~node10(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3217, 372, 3139])).
% 4.78/3.48 tff(3219,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3220,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3221,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 4.78/3.48 tff(3222,plain,
% 4.78/3.48 (~node11(s34)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3221, 361, 3159])).
% 4.78/3.48 tff(3223,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3224,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3225,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 4.78/3.48 tff(3226,plain,
% 4.78/3.48 (node14(s34, s35)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3225, 130, 3170])).
% 4.78/3.48 tff(3227,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3228,plain,
% 4.78/3.48 ((~![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)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3229,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 4.78/3.48 tff(3230,plain,
% 4.78/3.48 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3229, 401, 3226])).
% 4.78/3.48 tff(3231,plain,
% 4.78/3.48 (node13(s34, s35)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3230, 3222, 3147, 3218, 3214, 3210, 3206])).
% 4.78/3.48 tff(3232,plain,
% 4.78/3.48 (((~![V: $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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3233,plain,
% 4.78/3.48 (((~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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3234,plain,
% 4.78/3.48 (((~![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))))),
% 4.78/3.48 inference(monotonicity,[status(thm)],[3233])).
% 4.78/3.48 tff(3235,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(transitivity,[status(thm)],[3234, 3232])).
% 4.78/3.48 tff(3236,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3237,plain,
% 4.78/3.48 ((~![V: $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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 4.78/3.48 tff(3238,plain,
% 4.78/3.48 (m_main_v_state2(s35, c_t2)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3237, 563, 3135, 3231])).
% 4.78/3.48 tff(3239,plain,
% 4.78/3.48 (succ(s35, s36) <=> succ(s35, s36)),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3240,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 4.78/3.48 tff(3241,plain,
% 4.78/3.48 (succ(s35, s36)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 4.78/3.48 tff(3242,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3243,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3244,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 4.78/3.48 tff(3245,plain,
% 4.78/3.48 (trans(s35, s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3244, 3241, 57])).
% 4.78/3.48 tff(3246,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3247,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3248,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 4.78/3.48 tff(3249,plain,
% 4.78/3.48 (node7(s35, s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3248, 217, 3245])).
% 4.78/3.48 tff(3250,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3251,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3252,plain,
% 4.78/3.48 ((~![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)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 4.78/3.48 tff(3253,plain,
% 4.78/3.48 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3252, 598, 3249])).
% 4.78/3.48 tff(3254,plain,
% 4.78/3.48 (m_main_v_state1(s36, c_t1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3253, 3238, 3182])).
% 4.78/3.48 tff(3255,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3256,plain,
% 4.78/3.48 ((~![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)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3257,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 4.78/3.48 tff(3258,plain,
% 4.78/3.48 (~m_main_v_state1(s36, c_n1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3257, 35, 3254])).
% 4.78/3.48 tff(3259,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3260,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3261,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 4.78/3.48 tff(3262,plain,
% 4.78/3.48 (~node1(s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3261, 249, 3258])).
% 4.78/3.48 tff(3263,plain,
% 4.78/3.48 (((~![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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3264,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3265,plain,
% 4.78/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 4.78/3.48 tff(3266,plain,
% 4.78/3.48 (node18(s35, s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3265, 71, 3245])).
% 4.78/3.48 tff(3267,plain,
% 4.78/3.48 (((~![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(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))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3268,plain,
% 4.78/3.48 ((~![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(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3269,plain,
% 4.78/3.48 ((~![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(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 4.78/3.48 tff(3270,plain,
% 4.78/3.48 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3269, 625, 3266])).
% 4.78/3.48 tff(3271,plain,
% 4.78/3.48 (m_main_v_turn(s36, c_2)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3270, 3238, 3182])).
% 4.78/3.48 tff(3272,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3273,plain,
% 4.78/3.48 ((~![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)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3274,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 4.78/3.48 tff(3275,plain,
% 4.78/3.48 (~m_main_v_turn(s36, c_1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3274, 322, 3271])).
% 4.78/3.48 tff(3276,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3277,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3278,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 4.78/3.48 tff(3279,plain,
% 4.78/3.48 (~node5(s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3278, 641, 3275])).
% 4.78/3.48 tff(3280,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3281,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3282,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 4.78/3.48 tff(3283,plain,
% 4.78/3.48 (~node2(s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3282, 652, 3258])).
% 4.78/3.48 tff(3284,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3285,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3286,plain,
% 4.78/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 4.78/3.48 tff(3287,plain,
% 4.78/3.48 (~node3(s36)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3286, 663, 3258])).
% 4.78/3.48 tff(3288,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3289,plain,
% 4.78/3.48 ((~![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)))),
% 4.78/3.48 inference(quant_inst,[status(thm)],[])).
% 4.78/3.48 tff(3290,plain,
% 4.78/3.48 ((~![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))),
% 4.78/3.48 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 4.78/3.48 tff(3291,plain,
% 4.78/3.48 (~m_main_v_state1(s36, c_c1)),
% 4.78/3.48 inference(unit_resolution,[status(thm)],[3290, 289, 3254])).
% 4.78/3.48 tff(3292,plain,
% 4.78/3.48 (((~![V: $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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3293,plain,
% 4.78/3.48 (((~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)))),
% 4.78/3.48 inference(rewrite,[status(thm)],[])).
% 4.78/3.48 tff(3294,plain,
% 4.78/3.48 (((~![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))))),
% 4.78/3.48 inference(monotonicity,[status(thm)],[3293])).
% 4.78/3.48 tff(3295,plain,
% 4.78/3.48 (((~![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)))),
% 4.78/3.49 inference(transitivity,[status(thm)],[3294, 3292])).
% 4.78/3.49 tff(3296,plain,
% 4.78/3.49 ((~![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)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3297,plain,
% 4.78/3.49 ((~![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(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 4.78/3.49 tff(3298,plain,
% 4.78/3.49 (~m_main_v_state2(s35, c_n2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3297, 416, 3139, 3231])).
% 4.78/3.49 tff(3299,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3300,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3301,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 4.78/3.49 tff(3302,plain,
% 4.78/3.49 (~node9(s35)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3301, 311, 3298])).
% 4.78/3.49 tff(3303,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3304,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3305,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 4.78/3.49 tff(3306,plain,
% 4.78/3.49 (~node10(s35)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3305, 372, 3298])).
% 4.78/3.49 tff(3307,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3308,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3309,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 4.78/3.49 tff(3310,plain,
% 4.78/3.49 (~node8(s35)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3309, 383, 3298])).
% 4.78/3.49 tff(3311,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3312,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3313,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 4.78/3.49 tff(3314,plain,
% 4.78/3.49 (node14(s35, s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3313, 130, 3245])).
% 4.78/3.49 tff(3315,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3316,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3317,plain,
% 4.78/3.49 ((~![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)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 4.78/3.49 tff(3318,plain,
% 4.78/3.49 ((~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)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3317, 704, 3314])).
% 4.78/3.49 tff(3319,plain,
% 4.78/3.49 (m_main_v_state2(s36, c_c2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3318, 3310, 3182, 3238, 3306, 3302])).
% 4.78/3.49 tff(3320,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3321,plain,
% 4.78/3.49 ((~![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)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3322,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 4.78/3.49 tff(3323,plain,
% 4.78/3.49 (~m_main_v_state2(s36, c_n2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3322, 716, 3319])).
% 4.78/3.49 tff(3324,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3325,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3326,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 4.78/3.49 tff(3327,plain,
% 4.78/3.49 (~node4(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3326, 162, 3323])).
% 4.78/3.49 tff(3328,plain,
% 4.78/3.49 (succ(s36, s37) <=> succ(s36, s37)),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3329,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 4.78/3.49 tff(3330,plain,
% 4.78/3.49 (succ(s36, s37)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 4.78/3.49 tff(3331,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3332,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3333,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 4.78/3.49 tff(3334,plain,
% 4.78/3.49 (trans(s36, s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3333, 3330, 57])).
% 4.78/3.49 tff(3335,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3336,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3337,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 4.78/3.49 tff(3338,plain,
% 4.78/3.49 (node7(s36, s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3337, 217, 3334])).
% 4.78/3.49 tff(3339,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3340,plain,
% 4.78/3.49 ((~![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)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3341,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 4.78/3.49 tff(3342,plain,
% 4.78/3.49 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3341, 745, 3338])).
% 4.78/3.49 tff(3343,plain,
% 4.78/3.49 (node6(s36, s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3342, 3327, 3291, 3287, 3283, 3279, 3262])).
% 4.78/3.49 tff(3344,plain,
% 4.78/3.49 (((~![V: $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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3345,plain,
% 4.78/3.49 (((~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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3346,plain,
% 4.78/3.49 (((~![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))))),
% 4.78/3.49 inference(monotonicity,[status(thm)],[3345])).
% 4.78/3.49 tff(3347,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(transitivity,[status(thm)],[3346, 3344])).
% 4.78/3.49 tff(3348,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3349,plain,
% 4.78/3.49 ((~![V: $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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 4.78/3.49 tff(3350,plain,
% 4.78/3.49 (m_main_v_state1(s37, c_t1)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3349, 760, 3254, 3343])).
% 4.78/3.49 tff(3351,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3352,plain,
% 4.78/3.49 ((~![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)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3353,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 4.78/3.49 tff(3354,plain,
% 4.78/3.49 (~m_main_v_state2(s36, c_t2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3353, 173, 3319])).
% 4.78/3.49 tff(3355,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3356,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3357,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 4.78/3.49 tff(3358,plain,
% 4.78/3.49 (~node12(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3357, 778, 3354])).
% 4.78/3.49 tff(3359,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3360,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3361,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 4.78/3.49 tff(3362,plain,
% 4.78/3.49 (~node11(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3361, 361, 3258])).
% 4.78/3.49 tff(3363,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3364,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3365,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 4.78/3.49 tff(3366,plain,
% 4.78/3.49 (~node10(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3365, 793, 3291])).
% 4.78/3.49 tff(3367,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3368,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3369,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 4.78/3.49 tff(3370,plain,
% 4.78/3.49 (~node9(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3369, 804, 3258])).
% 4.78/3.49 tff(3371,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3372,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3373,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 4.78/3.49 tff(3374,plain,
% 4.78/3.49 (~node8(s36)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3373, 383, 3323])).
% 4.78/3.49 tff(3375,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3376,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3377,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 4.78/3.49 tff(3378,plain,
% 4.78/3.49 (node14(s36, s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3377, 130, 3334])).
% 4.78/3.49 tff(3379,plain,
% 4.78/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3380,plain,
% 4.78/3.49 (((~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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3381,plain,
% 4.78/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.78/3.49 inference(monotonicity,[status(thm)],[3380])).
% 4.78/3.49 tff(3382,plain,
% 4.78/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.78/3.49 inference(transitivity,[status(thm)],[3381, 3379])).
% 4.78/3.49 tff(3383,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3384,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 4.78/3.49 tff(3385,plain,
% 4.78/3.49 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3384, 826, 3378])).
% 4.78/3.49 tff(3386,plain,
% 4.78/3.49 (m_main_v_state2(s37, c_n2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3385, 3374, 3319, 3370, 3366, 3362, 3358])).
% 4.78/3.49 tff(3387,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3388,plain,
% 4.78/3.49 ((~![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)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3389,plain,
% 4.78/3.49 ((~![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))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 4.78/3.49 tff(3390,plain,
% 4.78/3.49 (~m_main_v_state2(s37, c_t2)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3389, 10, 3386])).
% 4.78/3.49 tff(3391,plain,
% 4.78/3.49 (((~![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)))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3392,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3393,plain,
% 4.78/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 4.78/3.49 tff(3394,plain,
% 4.78/3.49 (~node15(s37)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3393, 21, 3390])).
% 4.78/3.49 tff(3395,plain,
% 4.78/3.49 (succ(s37, s38) <=> succ(s37, s38)),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3396,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 4.78/3.49 tff(3397,plain,
% 4.78/3.49 (succ(s37, s38)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 4.78/3.49 tff(3398,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3399,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3400,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 4.78/3.49 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 4.78/3.49 tff(3401,plain,
% 4.78/3.49 (trans(s37, s38)),
% 4.78/3.49 inference(unit_resolution,[status(thm)],[3400, 3397, 57])).
% 4.78/3.49 tff(3402,plain,
% 4.78/3.49 (((~![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))),
% 4.78/3.49 inference(rewrite,[status(thm)],[])).
% 4.78/3.49 tff(3403,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 4.78/3.49 inference(quant_inst,[status(thm)],[])).
% 4.78/3.49 tff(3404,plain,
% 4.78/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 4.86/3.50 tff(3405,plain,
% 4.86/3.50 (node18(s37, s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3404, 71, 3401])).
% 4.86/3.50 tff(3406,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3407,plain,
% 4.86/3.50 (((~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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3408,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.86/3.50 inference(monotonicity,[status(thm)],[3407])).
% 4.86/3.50 tff(3409,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.50 inference(transitivity,[status(thm)],[3408, 3406])).
% 4.86/3.50 tff(3410,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3411,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 4.86/3.50 tff(3412,plain,
% 4.86/3.50 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3411, 863, 3405])).
% 4.86/3.50 tff(3413,plain,
% 4.86/3.50 (m_main_v_turn(s38, c_1)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3412, 3394, 3386, 3350])).
% 4.86/3.50 tff(3414,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3415,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3416,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 4.86/3.50 tff(3417,plain,
% 4.86/3.50 (~m_main_v_turn(s38, c_2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3416, 322, 3413])).
% 4.86/3.50 tff(3418,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3419,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3420,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 4.86/3.50 tff(3421,plain,
% 4.86/3.50 (~node12(s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3420, 350, 3417])).
% 4.86/3.50 tff(3422,plain,
% 4.86/3.50 (((~![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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3423,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3424,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 4.86/3.50 tff(3425,plain,
% 4.86/3.50 (node14(s37, s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3424, 130, 3401])).
% 4.86/3.50 tff(3426,plain,
% 4.86/3.50 (((~![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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3427,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3428,plain,
% 4.86/3.50 ((~![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)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 4.86/3.50 tff(3429,plain,
% 4.86/3.50 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3428, 893, 3425])).
% 4.86/3.50 tff(3430,plain,
% 4.86/3.50 (m_main_v_state2(s38, c_t2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3429, 3350, 3386])).
% 4.86/3.50 tff(3431,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3432,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3433,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 4.86/3.50 tff(3434,plain,
% 4.86/3.50 (~m_main_v_state2(s38, c_n2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3433, 10, 3430])).
% 4.86/3.50 tff(3435,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3436,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3437,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 4.86/3.50 tff(3438,plain,
% 4.86/3.50 (~node8(s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3437, 383, 3434])).
% 4.86/3.50 tff(3439,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3440,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3441,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 4.86/3.50 tff(3442,plain,
% 4.86/3.50 (~node9(s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3441, 311, 3434])).
% 4.86/3.50 tff(3443,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3444,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3445,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 4.86/3.50 tff(3446,plain,
% 4.86/3.50 (~node10(s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3445, 372, 3434])).
% 4.86/3.50 tff(3447,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3448,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3449,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 4.86/3.50 tff(3450,plain,
% 4.86/3.50 (~m_main_v_state2(s38, c_c2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3449, 173, 3430])).
% 4.86/3.50 tff(3451,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3452,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3453,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 4.86/3.50 tff(3454,plain,
% 4.86/3.50 (~m_main_v_state2(s37, c_c2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3453, 716, 3386])).
% 4.86/3.50 tff(3455,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3456,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3457,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 4.86/3.50 tff(3458,plain,
% 4.86/3.50 (~node3(s37)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3457, 184, 3454])).
% 4.86/3.50 tff(3459,plain,
% 4.86/3.50 (((~![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(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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3460,plain,
% 4.86/3.50 (((~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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3461,plain,
% 4.86/3.50 (((~![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))))),
% 4.86/3.50 inference(monotonicity,[status(thm)],[3460])).
% 4.86/3.50 tff(3462,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(transitivity,[status(thm)],[3461, 3459])).
% 4.86/3.50 tff(3463,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3464,plain,
% 4.86/3.50 ((~![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(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 4.86/3.50 tff(3465,plain,
% 4.86/3.50 (~m_main_v_state1(s37, c_n1)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3464, 936, 3258, 3343])).
% 4.86/3.50 tff(3466,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3467,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3468,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 4.86/3.50 tff(3469,plain,
% 4.86/3.50 (~node2(s37)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3468, 652, 3465])).
% 4.86/3.50 tff(3470,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3471,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3472,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 4.86/3.50 tff(3473,plain,
% 4.86/3.50 (~node1(s37)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3472, 206, 3390])).
% 4.86/3.50 tff(3474,plain,
% 4.86/3.50 (((~![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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3475,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3476,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 4.86/3.50 tff(3477,plain,
% 4.86/3.50 (node7(s37, s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3476, 217, 3401])).
% 4.86/3.50 tff(3478,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3479,plain,
% 4.86/3.50 (((~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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3480,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.86/3.50 inference(monotonicity,[status(thm)],[3479])).
% 4.86/3.50 tff(3481,plain,
% 4.86/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.50 inference(transitivity,[status(thm)],[3480, 3478])).
% 4.86/3.50 tff(3482,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3483,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 4.86/3.50 tff(3484,plain,
% 4.86/3.50 ((~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)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3483, 965, 3477])).
% 4.86/3.50 tff(3485,plain,
% 4.86/3.50 (m_main_v_state1(s38, c_c1)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3484, 3473, 3386, 3350, 3469, 3458])).
% 4.86/3.50 tff(3486,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3487,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3488,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 4.86/3.50 tff(3489,plain,
% 4.86/3.50 (~m_main_v_state1(s38, c_n1)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3488, 449, 3485])).
% 4.86/3.50 tff(3490,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3491,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3492,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 4.86/3.50 tff(3493,plain,
% 4.86/3.50 (~node11(s38)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3492, 361, 3489])).
% 4.86/3.50 tff(3494,plain,
% 4.86/3.50 (succ(s38, s39) <=> succ(s38, s39)),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3495,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 4.86/3.50 tff(3496,plain,
% 4.86/3.50 (succ(s38, s39)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 4.86/3.50 tff(3497,plain,
% 4.86/3.50 (((~![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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3498,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3499,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 4.86/3.50 tff(3500,plain,
% 4.86/3.50 (trans(s38, s39)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3499, 3496, 57])).
% 4.86/3.50 tff(3501,plain,
% 4.86/3.50 (((~![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))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3502,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3503,plain,
% 4.86/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 4.86/3.50 tff(3504,plain,
% 4.86/3.50 (node14(s38, s39)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3503, 130, 3500])).
% 4.86/3.50 tff(3505,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3506,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3507,plain,
% 4.86/3.50 ((~![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))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 4.86/3.50 tff(3508,plain,
% 4.86/3.50 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3507, 401, 3504])).
% 4.86/3.50 tff(3509,plain,
% 4.86/3.50 (node13(s38, s39)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3508, 3493, 3450, 3446, 3442, 3438, 3421])).
% 4.86/3.50 tff(3510,plain,
% 4.86/3.50 (((~![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(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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3511,plain,
% 4.86/3.50 (((~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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3512,plain,
% 4.86/3.50 (((~![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))))),
% 4.86/3.50 inference(monotonicity,[status(thm)],[3511])).
% 4.86/3.50 tff(3513,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(transitivity,[status(thm)],[3512, 3510])).
% 4.86/3.50 tff(3514,plain,
% 4.86/3.50 ((~![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)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3515,plain,
% 4.86/3.50 ((~![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(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 4.86/3.50 tff(3516,plain,
% 4.86/3.50 (~m_main_v_state2(s39, c_n2)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3515, 416, 3434, 3509])).
% 4.86/3.50 tff(3517,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.50 inference(rewrite,[status(thm)],[])).
% 4.86/3.50 tff(3518,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 4.86/3.50 inference(quant_inst,[status(thm)],[])).
% 4.86/3.50 tff(3519,plain,
% 4.86/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 4.86/3.50 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 4.86/3.50 tff(3520,plain,
% 4.86/3.50 (~node9(s39)),
% 4.86/3.50 inference(unit_resolution,[status(thm)],[3519, 311, 3516])).
% 4.86/3.50 tff(3521,plain,
% 4.86/3.50 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3522,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3523,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 4.86/3.51 tff(3524,plain,
% 4.86/3.51 (~node10(s39)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3523, 372, 3516])).
% 4.86/3.51 tff(3525,plain,
% 4.86/3.51 (((~![V: $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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3526,plain,
% 4.86/3.51 (((~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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3527,plain,
% 4.86/3.51 (((~![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))))),
% 4.86/3.51 inference(monotonicity,[status(thm)],[3526])).
% 4.86/3.51 tff(3528,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(transitivity,[status(thm)],[3527, 3525])).
% 4.86/3.51 tff(3529,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3530,plain,
% 4.86/3.51 ((~![V: $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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 4.86/3.51 tff(3531,plain,
% 4.86/3.51 (m_main_v_state2(s39, c_t2)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3530, 563, 3430, 3509])).
% 4.86/3.51 tff(3532,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3533,plain,
% 4.86/3.51 ((~![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)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3534,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 4.86/3.51 tff(3535,plain,
% 4.86/3.51 (~m_main_v_state1(s38, c_t1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3534, 289, 3485])).
% 4.86/3.51 tff(3536,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3537,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3538,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 4.86/3.51 tff(3539,plain,
% 4.86/3.51 (~node5(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3538, 300, 3535])).
% 4.86/3.51 tff(3540,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3541,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3542,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 4.86/3.51 tff(3543,plain,
% 4.86/3.51 (~node4(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3542, 162, 3434])).
% 4.86/3.51 tff(3544,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3545,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3546,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 4.86/3.51 tff(3547,plain,
% 4.86/3.51 (~node3(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3546, 184, 3450])).
% 4.86/3.51 tff(3548,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3549,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3550,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 4.86/3.51 tff(3551,plain,
% 4.86/3.51 (~node2(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3550, 195, 3434])).
% 4.86/3.51 tff(3552,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3553,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3554,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 4.86/3.51 tff(3555,plain,
% 4.86/3.51 (~node1(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3554, 249, 3489])).
% 4.86/3.51 tff(3556,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3557,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3558,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 4.86/3.51 tff(3559,plain,
% 4.86/3.51 (node7(s38, s39)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3558, 217, 3500])).
% 4.86/3.51 tff(3560,plain,
% 4.86/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3561,plain,
% 4.86/3.51 (((~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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3562,plain,
% 4.86/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.86/3.51 inference(monotonicity,[status(thm)],[3561])).
% 4.86/3.51 tff(3563,plain,
% 4.86/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.51 inference(transitivity,[status(thm)],[3562, 3560])).
% 4.86/3.51 tff(3564,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3565,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 4.86/3.51 tff(3566,plain,
% 4.86/3.51 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3565, 478, 3559])).
% 4.86/3.51 tff(3567,plain,
% 4.86/3.51 (m_main_v_state1(s39, c_n1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3566, 3555, 3485, 3551, 3547, 3543, 3539])).
% 4.86/3.51 tff(3568,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3569,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3570,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 4.86/3.51 tff(3571,plain,
% 4.86/3.51 (~node8(s39)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3570, 383, 3516])).
% 4.86/3.51 tff(3572,plain,
% 4.86/3.51 (succ(s39, s40) <=> succ(s39, s40)),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3573,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 4.86/3.51 tff(3574,plain,
% 4.86/3.51 (succ(s39, s40)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 4.86/3.51 tff(3575,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3576,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3577,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 4.86/3.51 tff(3578,plain,
% 4.86/3.51 (trans(s39, s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3577, 3574, 57])).
% 4.86/3.51 tff(3579,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3580,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3581,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 4.86/3.51 tff(3582,plain,
% 4.86/3.51 (node14(s39, s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3581, 130, 3578])).
% 4.86/3.51 tff(3583,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3584,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3585,plain,
% 4.86/3.51 ((~![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)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 4.86/3.51 tff(3586,plain,
% 4.86/3.51 ((~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)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3585, 704, 3582])).
% 4.86/3.51 tff(3587,plain,
% 4.86/3.51 (m_main_v_state2(s40, c_c2)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3586, 3571, 3567, 3531, 3524, 3520])).
% 4.86/3.51 tff(3588,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3589,plain,
% 4.86/3.51 ((~![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)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3590,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 4.86/3.51 tff(3591,plain,
% 4.86/3.51 (~m_main_v_state2(s40, c_t2)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3590, 173, 3587])).
% 4.86/3.51 tff(3592,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3593,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3594,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 4.86/3.51 tff(3595,plain,
% 4.86/3.51 (~node12(s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3594, 778, 3591])).
% 4.86/3.51 tff(3596,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3597,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3598,plain,
% 4.86/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 4.86/3.51 tff(3599,plain,
% 4.86/3.51 (node7(s39, s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3598, 217, 3578])).
% 4.86/3.51 tff(3600,plain,
% 4.86/3.51 (((~![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))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3601,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3602,plain,
% 4.86/3.51 ((~![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)),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 4.86/3.51 tff(3603,plain,
% 4.86/3.51 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3602, 598, 3599])).
% 4.86/3.51 tff(3604,plain,
% 4.86/3.51 (m_main_v_state1(s40, c_t1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3603, 3531, 3567])).
% 4.86/3.51 tff(3605,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3606,plain,
% 4.86/3.51 ((~![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)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3607,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 4.86/3.51 tff(3608,plain,
% 4.86/3.51 (~m_main_v_state1(s40, c_n1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3607, 35, 3604])).
% 4.86/3.51 tff(3609,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3610,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3611,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 4.86/3.51 tff(3612,plain,
% 4.86/3.51 (~node11(s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3611, 361, 3608])).
% 4.86/3.51 tff(3613,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3614,plain,
% 4.86/3.51 ((~![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)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3615,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 4.86/3.51 tff(3616,plain,
% 4.86/3.51 (~m_main_v_state1(s40, c_c1)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3615, 289, 3604])).
% 4.86/3.51 tff(3617,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3618,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3619,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 4.86/3.51 tff(3620,plain,
% 4.86/3.51 (~node10(s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3619, 793, 3616])).
% 4.86/3.51 tff(3621,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3622,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3623,plain,
% 4.86/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 4.86/3.51 tff(3624,plain,
% 4.86/3.51 (~node9(s40)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3623, 804, 3608])).
% 4.86/3.51 tff(3625,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.51 inference(rewrite,[status(thm)],[])).
% 4.86/3.51 tff(3626,plain,
% 4.86/3.51 ((~![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)))),
% 4.86/3.51 inference(quant_inst,[status(thm)],[])).
% 4.86/3.51 tff(3627,plain,
% 4.86/3.51 ((~![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))),
% 4.86/3.51 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 4.86/3.51 tff(3628,plain,
% 4.86/3.51 (~m_main_v_state2(s40, c_n2)),
% 4.86/3.51 inference(unit_resolution,[status(thm)],[3627, 716, 3587])).
% 4.86/3.51 tff(3629,plain,
% 4.86/3.51 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3630,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3631,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 4.86/3.52 tff(3632,plain,
% 4.86/3.52 (~node8(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3631, 383, 3628])).
% 4.86/3.52 tff(3633,plain,
% 4.86/3.52 (succ(s40, s41) <=> succ(s40, s41)),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3634,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 4.86/3.52 tff(3635,plain,
% 4.86/3.52 (succ(s40, s41)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 4.86/3.52 tff(3636,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3637,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3638,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 4.86/3.52 tff(3639,plain,
% 4.86/3.52 (trans(s40, s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3638, 3635, 57])).
% 4.86/3.52 tff(3640,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3641,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3642,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 4.86/3.52 tff(3643,plain,
% 4.86/3.52 (node14(s40, s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3642, 130, 3639])).
% 4.86/3.52 tff(3644,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3645,plain,
% 4.86/3.52 (((~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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3646,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.86/3.52 inference(monotonicity,[status(thm)],[3645])).
% 4.86/3.52 tff(3647,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.52 inference(transitivity,[status(thm)],[3646, 3644])).
% 4.86/3.52 tff(3648,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3649,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 4.86/3.52 tff(3650,plain,
% 4.86/3.52 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3649, 826, 3643])).
% 4.86/3.52 tff(3651,plain,
% 4.86/3.52 (m_main_v_state2(s41, c_n2)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3650, 3632, 3587, 3624, 3620, 3612, 3595])).
% 4.86/3.52 tff(3652,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3653,plain,
% 4.86/3.52 ((~![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)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3654,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 4.86/3.52 tff(3655,plain,
% 4.86/3.52 (~m_main_v_state2(s41, c_c2)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3654, 716, 3651])).
% 4.86/3.52 tff(3656,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3657,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3658,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 4.86/3.52 tff(3659,plain,
% 4.86/3.52 (~node3(s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3658, 184, 3655])).
% 4.86/3.52 tff(3660,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3661,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3662,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 4.86/3.52 tff(3663,plain,
% 4.86/3.52 (~node1(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3662, 249, 3608])).
% 4.86/3.52 tff(3664,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3665,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3666,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 4.86/3.52 tff(3667,plain,
% 4.86/3.52 (node18(s39, s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3666, 71, 3578])).
% 4.86/3.52 tff(3668,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3669,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3670,plain,
% 4.86/3.52 ((~![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)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 4.86/3.52 tff(3671,plain,
% 4.86/3.52 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3670, 625, 3667])).
% 4.86/3.52 tff(3672,plain,
% 4.86/3.52 (m_main_v_turn(s40, c_2)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3671, 3531, 3567])).
% 4.86/3.52 tff(3673,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3674,plain,
% 4.86/3.52 ((~![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)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3675,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 4.86/3.52 tff(3676,plain,
% 4.86/3.52 (~m_main_v_turn(s40, c_1)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3675, 322, 3672])).
% 4.86/3.52 tff(3677,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3678,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3679,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 4.86/3.52 tff(3680,plain,
% 4.86/3.52 (~node5(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3679, 641, 3676])).
% 4.86/3.52 tff(3681,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3682,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3683,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 4.86/3.52 tff(3684,plain,
% 4.86/3.52 (~node2(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3683, 652, 3608])).
% 4.86/3.52 tff(3685,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3686,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3687,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 4.86/3.52 tff(3688,plain,
% 4.86/3.52 (~node3(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3687, 663, 3608])).
% 4.86/3.52 tff(3689,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3690,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3691,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 4.86/3.52 tff(3692,plain,
% 4.86/3.52 (~node4(s40)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3691, 162, 3628])).
% 4.86/3.52 tff(3693,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3694,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3695,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 4.86/3.52 tff(3696,plain,
% 4.86/3.52 (node7(s40, s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3695, 217, 3639])).
% 4.86/3.52 tff(3697,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3698,plain,
% 4.86/3.52 ((~![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)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3699,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 4.86/3.52 tff(3700,plain,
% 4.86/3.52 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3699, 745, 3696])).
% 4.86/3.52 tff(3701,plain,
% 4.86/3.52 (node6(s40, s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3700, 3692, 3616, 3688, 3684, 3680, 3663])).
% 4.86/3.52 tff(3702,plain,
% 4.86/3.52 (((~![V: $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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3703,plain,
% 4.86/3.52 (((~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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3704,plain,
% 4.86/3.52 (((~![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))))),
% 4.86/3.52 inference(monotonicity,[status(thm)],[3703])).
% 4.86/3.52 tff(3705,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(transitivity,[status(thm)],[3704, 3702])).
% 4.86/3.52 tff(3706,plain,
% 4.86/3.52 ((~![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)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3707,plain,
% 4.86/3.52 ((~![V: $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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 4.86/3.52 tff(3708,plain,
% 4.86/3.52 (~m_main_v_state1(s41, c_n1)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3707, 936, 3608, 3701])).
% 4.86/3.52 tff(3709,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3710,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3711,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 4.86/3.52 tff(3712,plain,
% 4.86/3.52 (~node2(s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3711, 652, 3708])).
% 4.86/3.52 tff(3713,plain,
% 4.86/3.52 (((~![V: $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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3714,plain,
% 4.86/3.52 (((~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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3715,plain,
% 4.86/3.52 (((~![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))))),
% 4.86/3.52 inference(monotonicity,[status(thm)],[3714])).
% 4.86/3.52 tff(3716,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(transitivity,[status(thm)],[3715, 3713])).
% 4.86/3.52 tff(3717,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3718,plain,
% 4.86/3.52 ((~![V: $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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 4.86/3.52 tff(3719,plain,
% 4.86/3.52 (m_main_v_state1(s41, c_t1)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3718, 760, 3604, 3701])).
% 4.86/3.52 tff(3720,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3721,plain,
% 4.86/3.52 ((~![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)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3722,plain,
% 4.86/3.52 ((~![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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 4.86/3.52 tff(3723,plain,
% 4.86/3.52 (~m_main_v_state2(s41, c_t2)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3722, 10, 3651])).
% 4.86/3.52 tff(3724,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3725,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3726,plain,
% 4.86/3.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 4.86/3.52 tff(3727,plain,
% 4.86/3.52 (~node1(s41)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3726, 206, 3723])).
% 4.86/3.52 tff(3728,plain,
% 4.86/3.52 (succ(s41, s42) <=> succ(s41, s42)),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3729,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 4.86/3.52 tff(3730,plain,
% 4.86/3.52 (succ(s41, s42)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 4.86/3.52 tff(3731,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3732,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3733,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 4.86/3.52 tff(3734,plain,
% 4.86/3.52 (trans(s41, s42)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3733, 3730, 57])).
% 4.86/3.52 tff(3735,plain,
% 4.86/3.52 (((~![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))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3736,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3737,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 4.86/3.52 tff(3738,plain,
% 4.86/3.52 (node7(s41, s42)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3737, 217, 3734])).
% 4.86/3.52 tff(3739,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3740,plain,
% 4.86/3.52 (((~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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.52 tff(3741,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.86/3.52 inference(monotonicity,[status(thm)],[3740])).
% 4.86/3.52 tff(3742,plain,
% 4.86/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.52 inference(transitivity,[status(thm)],[3741, 3739])).
% 4.86/3.52 tff(3743,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.52 inference(quant_inst,[status(thm)],[])).
% 4.86/3.52 tff(3744,plain,
% 4.86/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.52 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 4.86/3.52 tff(3745,plain,
% 4.86/3.52 ((~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)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3744, 965, 3738])).
% 4.86/3.52 tff(3746,plain,
% 4.86/3.52 (m_main_v_state1(s42, c_c1)),
% 4.86/3.52 inference(unit_resolution,[status(thm)],[3745, 3727, 3651, 3719, 3712, 3659])).
% 4.86/3.52 tff(3747,plain,
% 4.86/3.52 (((~![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)))),
% 4.86/3.52 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3748,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3749,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 4.86/3.53 tff(3750,plain,
% 4.86/3.53 (~m_main_v_state1(s42, c_t1)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3749, 289, 3746])).
% 4.86/3.53 tff(3751,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3752,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3753,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 4.86/3.53 tff(3754,plain,
% 4.86/3.53 (~node5(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3753, 300, 3750])).
% 4.86/3.53 tff(3755,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3756,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3757,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 4.86/3.53 tff(3758,plain,
% 4.86/3.53 (node14(s41, s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3757, 130, 3734])).
% 4.86/3.53 tff(3759,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3760,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3761,plain,
% 4.86/3.53 ((~![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)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 4.86/3.53 tff(3762,plain,
% 4.86/3.53 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3761, 893, 3758])).
% 4.86/3.53 tff(3763,plain,
% 4.86/3.53 (m_main_v_state2(s42, c_t2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3762, 3719, 3651])).
% 4.86/3.53 tff(3764,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3765,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3766,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 4.86/3.53 tff(3767,plain,
% 4.86/3.53 (~m_main_v_state2(s42, c_n2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3766, 10, 3763])).
% 4.86/3.53 tff(3768,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3769,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3770,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 4.86/3.53 tff(3771,plain,
% 4.86/3.53 (~node4(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3770, 162, 3767])).
% 4.86/3.53 tff(3772,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3773,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3774,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 4.86/3.53 tff(3775,plain,
% 4.86/3.53 (~m_main_v_state2(s42, c_c2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3774, 173, 3763])).
% 4.86/3.53 tff(3776,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3777,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3778,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 4.86/3.53 tff(3779,plain,
% 4.86/3.53 (~node3(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3778, 184, 3775])).
% 4.86/3.53 tff(3780,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3781,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3782,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 4.86/3.53 tff(3783,plain,
% 4.86/3.53 (~node2(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3782, 195, 3767])).
% 4.86/3.53 tff(3784,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3785,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3786,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 4.86/3.53 tff(3787,plain,
% 4.86/3.53 (~m_main_v_state1(s42, c_n1)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3786, 449, 3746])).
% 4.86/3.53 tff(3788,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3789,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3790,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 4.86/3.53 tff(3791,plain,
% 4.86/3.53 (~node1(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3790, 249, 3787])).
% 4.86/3.53 tff(3792,plain,
% 4.86/3.53 (succ(s42, s43) <=> succ(s42, s43)),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3793,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 4.86/3.53 tff(3794,plain,
% 4.86/3.53 (succ(s42, s43)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 4.86/3.53 tff(3795,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3796,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3797,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 4.86/3.53 tff(3798,plain,
% 4.86/3.53 (trans(s42, s43)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3797, 3794, 57])).
% 4.86/3.53 tff(3799,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3800,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3801,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 4.86/3.53 tff(3802,plain,
% 4.86/3.53 (node7(s42, s43)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3801, 217, 3798])).
% 4.86/3.53 tff(3803,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3804,plain,
% 4.86/3.53 (((~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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3805,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.86/3.53 inference(monotonicity,[status(thm)],[3804])).
% 4.86/3.53 tff(3806,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.53 inference(transitivity,[status(thm)],[3805, 3803])).
% 4.86/3.53 tff(3807,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3808,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 4.86/3.53 tff(3809,plain,
% 4.86/3.53 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3808, 478, 3802])).
% 4.86/3.53 tff(3810,plain,
% 4.86/3.53 (m_main_v_state1(s43, c_n1)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3809, 3791, 3746, 3783, 3779, 3771, 3754])).
% 4.86/3.53 tff(3811,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3812,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3813,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 4.86/3.53 tff(3814,plain,
% 4.86/3.53 (~node15(s41)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3813, 21, 3723])).
% 4.86/3.53 tff(3815,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3816,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3817,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 4.86/3.53 tff(3818,plain,
% 4.86/3.53 (node18(s41, s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3817, 71, 3734])).
% 4.86/3.53 tff(3819,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3820,plain,
% 4.86/3.53 (((~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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3821,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.86/3.53 inference(monotonicity,[status(thm)],[3820])).
% 4.86/3.53 tff(3822,plain,
% 4.86/3.53 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.53 inference(transitivity,[status(thm)],[3821, 3819])).
% 4.86/3.53 tff(3823,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3824,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 4.86/3.53 tff(3825,plain,
% 4.86/3.53 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3824, 863, 3818])).
% 4.86/3.53 tff(3826,plain,
% 4.86/3.53 (m_main_v_turn(s42, c_1)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3825, 3814, 3651, 3719])).
% 4.86/3.53 tff(3827,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3828,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3829,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 4.86/3.53 tff(3830,plain,
% 4.86/3.53 (~m_main_v_turn(s42, c_2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3829, 322, 3826])).
% 4.86/3.53 tff(3831,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3832,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3833,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 4.86/3.53 tff(3834,plain,
% 4.86/3.53 (~node12(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3833, 350, 3830])).
% 4.86/3.53 tff(3835,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3836,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3837,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 4.86/3.53 tff(3838,plain,
% 4.86/3.53 (~node8(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3837, 383, 3767])).
% 4.86/3.53 tff(3839,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3840,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3841,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 4.86/3.53 tff(3842,plain,
% 4.86/3.53 (~node9(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3841, 311, 3767])).
% 4.86/3.53 tff(3843,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3844,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3845,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 4.86/3.53 tff(3846,plain,
% 4.86/3.53 (~node10(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3845, 372, 3767])).
% 4.86/3.53 tff(3847,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3848,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3849,plain,
% 4.86/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 4.86/3.53 tff(3850,plain,
% 4.86/3.53 (~node11(s42)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3849, 361, 3787])).
% 4.86/3.53 tff(3851,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3852,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3853,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 4.86/3.53 tff(3854,plain,
% 4.86/3.53 (node14(s42, s43)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3853, 130, 3798])).
% 4.86/3.53 tff(3855,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3856,plain,
% 4.86/3.53 ((~![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)))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3857,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 4.86/3.53 tff(3858,plain,
% 4.86/3.53 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3857, 401, 3854])).
% 4.86/3.53 tff(3859,plain,
% 4.86/3.53 (node13(s42, s43)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3858, 3850, 3775, 3846, 3842, 3838, 3834])).
% 4.86/3.53 tff(3860,plain,
% 4.86/3.53 (((~![V: $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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3861,plain,
% 4.86/3.53 (((~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)))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3862,plain,
% 4.86/3.53 (((~![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))))),
% 4.86/3.53 inference(monotonicity,[status(thm)],[3861])).
% 4.86/3.53 tff(3863,plain,
% 4.86/3.53 (((~![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)))),
% 4.86/3.53 inference(transitivity,[status(thm)],[3862, 3860])).
% 4.86/3.53 tff(3864,plain,
% 4.86/3.53 ((~![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))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3865,plain,
% 4.86/3.53 ((~![V: $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))),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 4.86/3.53 tff(3866,plain,
% 4.86/3.53 (m_main_v_state2(s43, c_t2)),
% 4.86/3.53 inference(unit_resolution,[status(thm)],[3865, 563, 3763, 3859])).
% 4.86/3.53 tff(3867,plain,
% 4.86/3.53 (succ(s43, s44) <=> succ(s43, s44)),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3868,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 4.86/3.53 tff(3869,plain,
% 4.86/3.53 (succ(s43, s44)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 4.86/3.53 tff(3870,plain,
% 4.86/3.53 (((~![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))),
% 4.86/3.53 inference(rewrite,[status(thm)],[])).
% 4.86/3.53 tff(3871,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 4.86/3.53 inference(quant_inst,[status(thm)],[])).
% 4.86/3.53 tff(3872,plain,
% 4.86/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 4.86/3.53 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 4.86/3.53 tff(3873,plain,
% 4.86/3.54 (trans(s43, s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3872, 3869, 57])).
% 4.86/3.54 tff(3874,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3875,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3876,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 4.86/3.54 tff(3877,plain,
% 4.86/3.54 (node7(s43, s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3876, 217, 3873])).
% 4.86/3.54 tff(3878,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3879,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3880,plain,
% 4.86/3.54 ((~![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)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 4.86/3.54 tff(3881,plain,
% 4.86/3.54 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3880, 598, 3877])).
% 4.86/3.54 tff(3882,plain,
% 4.86/3.54 (m_main_v_state1(s44, c_t1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3881, 3866, 3810])).
% 4.86/3.54 tff(3883,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3884,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3885,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 4.86/3.54 tff(3886,plain,
% 4.86/3.54 (~m_main_v_state1(s44, c_n1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3885, 35, 3882])).
% 4.86/3.54 tff(3887,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3888,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3889,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 4.86/3.54 tff(3890,plain,
% 4.86/3.54 (~node1(s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3889, 249, 3886])).
% 4.86/3.54 tff(3891,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3892,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3893,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 4.86/3.54 tff(3894,plain,
% 4.86/3.54 (node18(s43, s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3893, 71, 3873])).
% 4.86/3.54 tff(3895,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3896,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3897,plain,
% 4.86/3.54 ((~![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)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 4.86/3.54 tff(3898,plain,
% 4.86/3.54 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3897, 625, 3894])).
% 4.86/3.54 tff(3899,plain,
% 4.86/3.54 (m_main_v_turn(s44, c_2)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3898, 3866, 3810])).
% 4.86/3.54 tff(3900,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3901,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3902,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 4.86/3.54 tff(3903,plain,
% 4.86/3.54 (~m_main_v_turn(s44, c_1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3902, 322, 3899])).
% 4.86/3.54 tff(3904,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3905,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3906,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 4.86/3.54 tff(3907,plain,
% 4.86/3.54 (~node5(s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3906, 641, 3903])).
% 4.86/3.54 tff(3908,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3909,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3910,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 4.86/3.54 tff(3911,plain,
% 4.86/3.54 (~node2(s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3910, 652, 3886])).
% 4.86/3.54 tff(3912,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3913,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3914,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 4.86/3.54 tff(3915,plain,
% 4.86/3.54 (~node3(s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3914, 663, 3886])).
% 4.86/3.54 tff(3916,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3917,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3918,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 4.86/3.54 tff(3919,plain,
% 4.86/3.54 (~m_main_v_state1(s44, c_c1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3918, 289, 3882])).
% 4.86/3.54 tff(3920,plain,
% 4.86/3.54 (((~![V: $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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3921,plain,
% 4.86/3.54 (((~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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3922,plain,
% 4.86/3.54 (((~![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))))),
% 4.86/3.54 inference(monotonicity,[status(thm)],[3921])).
% 4.86/3.54 tff(3923,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(transitivity,[status(thm)],[3922, 3920])).
% 4.86/3.54 tff(3924,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3925,plain,
% 4.86/3.54 ((~![V: $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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 4.86/3.54 tff(3926,plain,
% 4.86/3.54 (~m_main_v_state2(s43, c_n2)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3925, 416, 3767, 3859])).
% 4.86/3.54 tff(3927,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3928,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3929,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 4.86/3.54 tff(3930,plain,
% 4.86/3.54 (~node9(s43)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3929, 311, 3926])).
% 4.86/3.54 tff(3931,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3932,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3933,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 4.86/3.54 tff(3934,plain,
% 4.86/3.54 (~node10(s43)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3933, 372, 3926])).
% 4.86/3.54 tff(3935,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3936,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3937,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 4.86/3.54 tff(3938,plain,
% 4.86/3.54 (~node8(s43)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3937, 383, 3926])).
% 4.86/3.54 tff(3939,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3940,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3941,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 4.86/3.54 tff(3942,plain,
% 4.86/3.54 (node14(s43, s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3941, 130, 3873])).
% 4.86/3.54 tff(3943,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3944,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3945,plain,
% 4.86/3.54 ((~![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)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 4.86/3.54 tff(3946,plain,
% 4.86/3.54 ((~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)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3945, 704, 3942])).
% 4.86/3.54 tff(3947,plain,
% 4.86/3.54 (m_main_v_state2(s44, c_c2)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3946, 3938, 3810, 3866, 3934, 3930])).
% 4.86/3.54 tff(3948,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3949,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3950,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 4.86/3.54 tff(3951,plain,
% 4.86/3.54 (~m_main_v_state2(s44, c_n2)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3950, 716, 3947])).
% 4.86/3.54 tff(3952,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3953,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3954,plain,
% 4.86/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 4.86/3.54 tff(3955,plain,
% 4.86/3.54 (~node4(s44)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3954, 162, 3951])).
% 4.86/3.54 tff(3956,plain,
% 4.86/3.54 (succ(s44, s45) <=> succ(s44, s45)),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3957,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 4.86/3.54 tff(3958,plain,
% 4.86/3.54 (succ(s44, s45)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 4.86/3.54 tff(3959,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3960,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3961,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 4.86/3.54 tff(3962,plain,
% 4.86/3.54 (trans(s44, s45)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3961, 3958, 57])).
% 4.86/3.54 tff(3963,plain,
% 4.86/3.54 (((~![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))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3964,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3965,plain,
% 4.86/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 4.86/3.54 tff(3966,plain,
% 4.86/3.54 (node7(s44, s45)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3965, 217, 3962])).
% 4.86/3.54 tff(3967,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3968,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3969,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 4.86/3.54 tff(3970,plain,
% 4.86/3.54 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3969, 745, 3966])).
% 4.86/3.54 tff(3971,plain,
% 4.86/3.54 (node6(s44, s45)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3970, 3955, 3919, 3915, 3911, 3907, 3890])).
% 4.86/3.54 tff(3972,plain,
% 4.86/3.54 (((~![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(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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3973,plain,
% 4.86/3.54 (((~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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3974,plain,
% 4.86/3.54 (((~![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))))),
% 4.86/3.54 inference(monotonicity,[status(thm)],[3973])).
% 4.86/3.54 tff(3975,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(transitivity,[status(thm)],[3974, 3972])).
% 4.86/3.54 tff(3976,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3977,plain,
% 4.86/3.54 ((~![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(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 4.86/3.54 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 4.86/3.54 tff(3978,plain,
% 4.86/3.54 (m_main_v_state1(s45, c_t1)),
% 4.86/3.54 inference(unit_resolution,[status(thm)],[3977, 760, 3882, 3971])).
% 4.86/3.54 tff(3979,plain,
% 4.86/3.54 (((~![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)))),
% 4.86/3.54 inference(rewrite,[status(thm)],[])).
% 4.86/3.54 tff(3980,plain,
% 4.86/3.54 ((~![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)))),
% 4.86/3.54 inference(quant_inst,[status(thm)],[])).
% 4.86/3.54 tff(3981,plain,
% 4.86/3.54 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 4.86/3.55 tff(3982,plain,
% 4.86/3.55 (~m_main_v_state2(s44, c_t2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[3981, 173, 3947])).
% 4.86/3.55 tff(3983,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(3984,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(3985,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 4.86/3.55 tff(3986,plain,
% 4.86/3.55 (~node12(s44)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[3985, 778, 3982])).
% 4.86/3.55 tff(3987,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(3988,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(3989,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 4.86/3.55 tff(3990,plain,
% 4.86/3.55 (~node11(s44)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[3989, 361, 3886])).
% 4.86/3.55 tff(3991,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(3992,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(3993,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 4.86/3.55 tff(3994,plain,
% 4.86/3.55 (~node10(s44)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[3993, 793, 3919])).
% 4.86/3.55 tff(3995,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(3996,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(3997,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 4.86/3.55 tff(3998,plain,
% 4.86/3.55 (~node9(s44)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[3997, 804, 3886])).
% 4.86/3.55 tff(3999,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4000,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4001,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 4.86/3.55 tff(4002,plain,
% 4.86/3.55 (~node8(s44)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4001, 383, 3951])).
% 4.86/3.55 tff(4003,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4004,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4005,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 4.86/3.55 tff(4006,plain,
% 4.86/3.55 (node14(s44, s45)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4005, 130, 3962])).
% 4.86/3.55 tff(4007,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4008,plain,
% 4.86/3.55 (((~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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4009,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.86/3.55 inference(monotonicity,[status(thm)],[4008])).
% 4.86/3.55 tff(4010,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.55 inference(transitivity,[status(thm)],[4009, 4007])).
% 4.86/3.55 tff(4011,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4012,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 4.86/3.55 tff(4013,plain,
% 4.86/3.55 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4012, 826, 4006])).
% 4.86/3.55 tff(4014,plain,
% 4.86/3.55 (m_main_v_state2(s45, c_n2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4013, 4002, 3947, 3998, 3994, 3990, 3986])).
% 4.86/3.55 tff(4015,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4016,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4017,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 4.86/3.55 tff(4018,plain,
% 4.86/3.55 (~m_main_v_state2(s45, c_t2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4017, 10, 4014])).
% 4.86/3.55 tff(4019,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4020,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4021,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 4.86/3.55 tff(4022,plain,
% 4.86/3.55 (~node15(s45)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4021, 21, 4018])).
% 4.86/3.55 tff(4023,plain,
% 4.86/3.55 (succ(s45, s46) <=> succ(s45, s46)),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4024,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 4.86/3.55 tff(4025,plain,
% 4.86/3.55 (succ(s45, s46)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 4.86/3.55 tff(4026,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4027,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4028,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 4.86/3.55 tff(4029,plain,
% 4.86/3.55 (trans(s45, s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4028, 4025, 57])).
% 4.86/3.55 tff(4030,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4031,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4032,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 4.86/3.55 tff(4033,plain,
% 4.86/3.55 (node18(s45, s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4032, 71, 4029])).
% 4.86/3.55 tff(4034,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4035,plain,
% 4.86/3.55 (((~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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4036,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.86/3.55 inference(monotonicity,[status(thm)],[4035])).
% 4.86/3.55 tff(4037,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.55 inference(transitivity,[status(thm)],[4036, 4034])).
% 4.86/3.55 tff(4038,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4039,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 4.86/3.55 tff(4040,plain,
% 4.86/3.55 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4039, 863, 4033])).
% 4.86/3.55 tff(4041,plain,
% 4.86/3.55 (m_main_v_turn(s46, c_1)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4040, 4022, 4014, 3978])).
% 4.86/3.55 tff(4042,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4043,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4044,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 4.86/3.55 tff(4045,plain,
% 4.86/3.55 (~m_main_v_turn(s46, c_2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4044, 322, 4041])).
% 4.86/3.55 tff(4046,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4047,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4048,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 4.86/3.55 tff(4049,plain,
% 4.86/3.55 (~node12(s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4048, 350, 4045])).
% 4.86/3.55 tff(4050,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4051,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4052,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 4.86/3.55 tff(4053,plain,
% 4.86/3.55 (node14(s45, s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4052, 130, 4029])).
% 4.86/3.55 tff(4054,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4055,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4056,plain,
% 4.86/3.55 ((~![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)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 4.86/3.55 tff(4057,plain,
% 4.86/3.55 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4056, 893, 4053])).
% 4.86/3.55 tff(4058,plain,
% 4.86/3.55 (m_main_v_state2(s46, c_t2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4057, 3978, 4014])).
% 4.86/3.55 tff(4059,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4060,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4061,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 4.86/3.55 tff(4062,plain,
% 4.86/3.55 (~m_main_v_state2(s46, c_n2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4061, 10, 4058])).
% 4.86/3.55 tff(4063,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4064,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4065,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 4.86/3.55 tff(4066,plain,
% 4.86/3.55 (~node8(s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4065, 383, 4062])).
% 4.86/3.55 tff(4067,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4068,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4069,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 4.86/3.55 tff(4070,plain,
% 4.86/3.55 (~node9(s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4069, 311, 4062])).
% 4.86/3.55 tff(4071,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4072,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4073,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 4.86/3.55 tff(4074,plain,
% 4.86/3.55 (~node10(s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4073, 372, 4062])).
% 4.86/3.55 tff(4075,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4076,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4077,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 4.86/3.55 tff(4078,plain,
% 4.86/3.55 (~m_main_v_state2(s46, c_c2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4077, 173, 4058])).
% 4.86/3.55 tff(4079,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4080,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4081,plain,
% 4.86/3.55 ((~![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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 4.86/3.55 tff(4082,plain,
% 4.86/3.55 (~m_main_v_state2(s45, c_c2)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4081, 716, 4014])).
% 4.86/3.55 tff(4083,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4084,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4085,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 4.86/3.55 tff(4086,plain,
% 4.86/3.55 (~node3(s45)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4085, 184, 4082])).
% 4.86/3.55 tff(4087,plain,
% 4.86/3.55 (((~![V: $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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4088,plain,
% 4.86/3.55 (((~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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4089,plain,
% 4.86/3.55 (((~![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))))),
% 4.86/3.55 inference(monotonicity,[status(thm)],[4088])).
% 4.86/3.55 tff(4090,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(transitivity,[status(thm)],[4089, 4087])).
% 4.86/3.55 tff(4091,plain,
% 4.86/3.55 ((~![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)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4092,plain,
% 4.86/3.55 ((~![V: $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))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 4.86/3.55 tff(4093,plain,
% 4.86/3.55 (~m_main_v_state1(s45, c_n1)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4092, 936, 3886, 3971])).
% 4.86/3.55 tff(4094,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4095,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4096,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 4.86/3.55 tff(4097,plain,
% 4.86/3.55 (~node2(s45)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4096, 652, 4093])).
% 4.86/3.55 tff(4098,plain,
% 4.86/3.55 (((~![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)))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4099,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4100,plain,
% 4.86/3.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 4.86/3.55 tff(4101,plain,
% 4.86/3.55 (~node1(s45)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4100, 206, 4018])).
% 4.86/3.55 tff(4102,plain,
% 4.86/3.55 (((~![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))),
% 4.86/3.55 inference(rewrite,[status(thm)],[])).
% 4.86/3.55 tff(4103,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 4.86/3.55 inference(quant_inst,[status(thm)],[])).
% 4.86/3.55 tff(4104,plain,
% 4.86/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 4.86/3.55 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 4.86/3.55 tff(4105,plain,
% 4.86/3.55 (node7(s45, s46)),
% 4.86/3.55 inference(unit_resolution,[status(thm)],[4104, 217, 4029])).
% 4.86/3.55 tff(4106,plain,
% 4.86/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4107,plain,
% 4.86/3.56 (((~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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4108,plain,
% 4.86/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.86/3.56 inference(monotonicity,[status(thm)],[4107])).
% 4.86/3.56 tff(4109,plain,
% 4.86/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.56 inference(transitivity,[status(thm)],[4108, 4106])).
% 4.86/3.56 tff(4110,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4111,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 4.86/3.56 tff(4112,plain,
% 4.86/3.56 ((~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)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4111, 965, 4105])).
% 4.86/3.56 tff(4113,plain,
% 4.86/3.56 (m_main_v_state1(s46, c_c1)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4112, 4101, 4014, 3978, 4097, 4086])).
% 4.86/3.56 tff(4114,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4115,plain,
% 4.86/3.56 ((~![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)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4116,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 4.86/3.56 tff(4117,plain,
% 4.86/3.56 (~m_main_v_state1(s46, c_n1)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4116, 449, 4113])).
% 4.86/3.56 tff(4118,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4119,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4120,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 4.86/3.56 tff(4121,plain,
% 4.86/3.56 (~node11(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4120, 361, 4117])).
% 4.86/3.56 tff(4122,plain,
% 4.86/3.56 (succ(s46, s47) <=> succ(s46, s47)),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4123,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 4.86/3.56 tff(4124,plain,
% 4.86/3.56 (succ(s46, s47)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 4.86/3.56 tff(4125,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4126,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4127,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 4.86/3.56 tff(4128,plain,
% 4.86/3.56 (trans(s46, s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4127, 4124, 57])).
% 4.86/3.56 tff(4129,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4130,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4131,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 4.86/3.56 tff(4132,plain,
% 4.86/3.56 (node14(s46, s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4131, 130, 4128])).
% 4.86/3.56 tff(4133,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4134,plain,
% 4.86/3.56 ((~![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)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4135,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 4.86/3.56 tff(4136,plain,
% 4.86/3.56 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4135, 401, 4132])).
% 4.86/3.56 tff(4137,plain,
% 4.86/3.56 (node13(s46, s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4136, 4121, 4078, 4074, 4070, 4066, 4049])).
% 4.86/3.56 tff(4138,plain,
% 4.86/3.56 (((~![V: $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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4139,plain,
% 4.86/3.56 (((~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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4140,plain,
% 4.86/3.56 (((~![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))))),
% 4.86/3.56 inference(monotonicity,[status(thm)],[4139])).
% 4.86/3.56 tff(4141,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(transitivity,[status(thm)],[4140, 4138])).
% 4.86/3.56 tff(4142,plain,
% 4.86/3.56 ((~![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)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4143,plain,
% 4.86/3.56 ((~![V: $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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 4.86/3.56 tff(4144,plain,
% 4.86/3.56 (~m_main_v_state2(s47, c_n2)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4143, 416, 4062, 4137])).
% 4.86/3.56 tff(4145,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4146,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4147,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 4.86/3.56 tff(4148,plain,
% 4.86/3.56 (~node9(s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4147, 311, 4144])).
% 4.86/3.56 tff(4149,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4150,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4151,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 4.86/3.56 tff(4152,plain,
% 4.86/3.56 (~node10(s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4151, 372, 4144])).
% 4.86/3.56 tff(4153,plain,
% 4.86/3.56 (((~![V: $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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4154,plain,
% 4.86/3.56 (((~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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4155,plain,
% 4.86/3.56 (((~![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))))),
% 4.86/3.56 inference(monotonicity,[status(thm)],[4154])).
% 4.86/3.56 tff(4156,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(transitivity,[status(thm)],[4155, 4153])).
% 4.86/3.56 tff(4157,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4158,plain,
% 4.86/3.56 ((~![V: $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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 4.86/3.56 tff(4159,plain,
% 4.86/3.56 (m_main_v_state2(s47, c_t2)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4158, 563, 4058, 4137])).
% 4.86/3.56 tff(4160,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4161,plain,
% 4.86/3.56 ((~![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)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4162,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 4.86/3.56 tff(4163,plain,
% 4.86/3.56 (~m_main_v_state1(s46, c_t1)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4162, 289, 4113])).
% 4.86/3.56 tff(4164,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4165,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4166,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 4.86/3.56 tff(4167,plain,
% 4.86/3.56 (~node5(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4166, 300, 4163])).
% 4.86/3.56 tff(4168,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4169,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4170,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 4.86/3.56 tff(4171,plain,
% 4.86/3.56 (~node4(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4170, 162, 4062])).
% 4.86/3.56 tff(4172,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4173,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4174,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 4.86/3.56 tff(4175,plain,
% 4.86/3.56 (~node3(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4174, 184, 4078])).
% 4.86/3.56 tff(4176,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4177,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4178,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 4.86/3.56 tff(4179,plain,
% 4.86/3.56 (~node2(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4178, 195, 4062])).
% 4.86/3.56 tff(4180,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4181,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4182,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 4.86/3.56 tff(4183,plain,
% 4.86/3.56 (~node1(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4182, 249, 4117])).
% 4.86/3.56 tff(4184,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4185,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4186,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 4.86/3.56 tff(4187,plain,
% 4.86/3.56 (node7(s46, s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4186, 217, 4128])).
% 4.86/3.56 tff(4188,plain,
% 4.86/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4189,plain,
% 4.86/3.56 (((~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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4190,plain,
% 4.86/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.86/3.56 inference(monotonicity,[status(thm)],[4189])).
% 4.86/3.56 tff(4191,plain,
% 4.86/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.86/3.56 inference(transitivity,[status(thm)],[4190, 4188])).
% 4.86/3.56 tff(4192,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4193,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 4.86/3.56 tff(4194,plain,
% 4.86/3.56 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4193, 478, 4187])).
% 4.86/3.56 tff(4195,plain,
% 4.86/3.56 (m_main_v_state1(s47, c_n1)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4194, 4183, 4113, 4179, 4175, 4171, 4167])).
% 4.86/3.56 tff(4196,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4197,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4198,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 4.86/3.56 tff(4199,plain,
% 4.86/3.56 (~node8(s47)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4198, 383, 4144])).
% 4.86/3.56 tff(4200,plain,
% 4.86/3.56 (succ(s47, s48) <=> succ(s47, s48)),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4201,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 4.86/3.56 tff(4202,plain,
% 4.86/3.56 (succ(s47, s48)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 4.86/3.56 tff(4203,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4204,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4205,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 4.86/3.56 tff(4206,plain,
% 4.86/3.56 (trans(s47, s48)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4205, 4202, 57])).
% 4.86/3.56 tff(4207,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4208,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4209,plain,
% 4.86/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 4.86/3.56 tff(4210,plain,
% 4.86/3.56 (node14(s47, s48)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4209, 130, 4206])).
% 4.86/3.56 tff(4211,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4212,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4213,plain,
% 4.86/3.56 ((~![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)),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 4.86/3.56 tff(4214,plain,
% 4.86/3.56 ((~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)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4213, 704, 4210])).
% 4.86/3.56 tff(4215,plain,
% 4.86/3.56 (m_main_v_state2(s48, c_c2)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4214, 4199, 4195, 4159, 4152, 4148])).
% 4.86/3.56 tff(4216,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4217,plain,
% 4.86/3.56 ((~![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)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4218,plain,
% 4.86/3.56 ((~![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))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 4.86/3.56 tff(4219,plain,
% 4.86/3.56 (~m_main_v_state2(s48, c_t2)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4218, 173, 4215])).
% 4.86/3.56 tff(4220,plain,
% 4.86/3.56 (((~![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)))),
% 4.86/3.56 inference(rewrite,[status(thm)],[])).
% 4.86/3.56 tff(4221,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 4.86/3.56 inference(quant_inst,[status(thm)],[])).
% 4.86/3.56 tff(4222,plain,
% 4.86/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 4.86/3.56 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 4.86/3.56 tff(4223,plain,
% 4.86/3.56 (~node12(s48)),
% 4.86/3.56 inference(unit_resolution,[status(thm)],[4222, 778, 4219])).
% 4.86/3.56 tff(4224,plain,
% 4.86/3.56 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4225,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4226,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 4.86/3.57 tff(4227,plain,
% 4.86/3.57 (node7(s47, s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4226, 217, 4206])).
% 4.86/3.57 tff(4228,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4229,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4230,plain,
% 4.86/3.57 ((~![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)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 4.86/3.57 tff(4231,plain,
% 4.86/3.57 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4230, 598, 4227])).
% 4.86/3.57 tff(4232,plain,
% 4.86/3.57 (m_main_v_state1(s48, c_t1)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4231, 4159, 4195])).
% 4.86/3.57 tff(4233,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4234,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4235,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 4.86/3.57 tff(4236,plain,
% 4.86/3.57 (~m_main_v_state1(s48, c_n1)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4235, 35, 4232])).
% 4.86/3.57 tff(4237,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4238,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4239,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 4.86/3.57 tff(4240,plain,
% 4.86/3.57 (~node11(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4239, 361, 4236])).
% 4.86/3.57 tff(4241,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4242,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4243,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 4.86/3.57 tff(4244,plain,
% 4.86/3.57 (~m_main_v_state1(s48, c_c1)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4243, 289, 4232])).
% 4.86/3.57 tff(4245,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4246,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4247,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 4.86/3.57 tff(4248,plain,
% 4.86/3.57 (~node10(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4247, 793, 4244])).
% 4.86/3.57 tff(4249,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4250,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4251,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 4.86/3.57 tff(4252,plain,
% 4.86/3.57 (~node9(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4251, 804, 4236])).
% 4.86/3.57 tff(4253,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4254,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4255,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 4.86/3.57 tff(4256,plain,
% 4.86/3.57 (~m_main_v_state2(s48, c_n2)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4255, 716, 4215])).
% 4.86/3.57 tff(4257,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4258,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4259,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 4.86/3.57 tff(4260,plain,
% 4.86/3.57 (~node8(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4259, 383, 4256])).
% 4.86/3.57 tff(4261,plain,
% 4.86/3.57 (succ(s48, s49) <=> succ(s48, s49)),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4262,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 4.86/3.57 tff(4263,plain,
% 4.86/3.57 (succ(s48, s49)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 4.86/3.57 tff(4264,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4265,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4266,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 4.86/3.57 tff(4267,plain,
% 4.86/3.57 (trans(s48, s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4266, 4263, 57])).
% 4.86/3.57 tff(4268,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4269,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4270,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 4.86/3.57 tff(4271,plain,
% 4.86/3.57 (node14(s48, s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4270, 130, 4267])).
% 4.86/3.57 tff(4272,plain,
% 4.86/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4273,plain,
% 4.86/3.57 (((~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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4274,plain,
% 4.86/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.86/3.57 inference(monotonicity,[status(thm)],[4273])).
% 4.86/3.57 tff(4275,plain,
% 4.86/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.86/3.57 inference(transitivity,[status(thm)],[4274, 4272])).
% 4.86/3.57 tff(4276,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4277,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 4.86/3.57 tff(4278,plain,
% 4.86/3.57 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4277, 826, 4271])).
% 4.86/3.57 tff(4279,plain,
% 4.86/3.57 (m_main_v_state2(s49, c_n2)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4278, 4260, 4215, 4252, 4248, 4240, 4223])).
% 4.86/3.57 tff(4280,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4281,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4282,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 4.86/3.57 tff(4283,plain,
% 4.86/3.57 (~m_main_v_state2(s49, c_c2)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4282, 716, 4279])).
% 4.86/3.57 tff(4284,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4285,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4286,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 4.86/3.57 tff(4287,plain,
% 4.86/3.57 (~node3(s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4286, 184, 4283])).
% 4.86/3.57 tff(4288,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4289,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4290,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 4.86/3.57 tff(4291,plain,
% 4.86/3.57 (~node1(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4290, 249, 4236])).
% 4.86/3.57 tff(4292,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4293,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4294,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 4.86/3.57 tff(4295,plain,
% 4.86/3.57 (node18(s47, s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4294, 71, 4206])).
% 4.86/3.57 tff(4296,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4297,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4298,plain,
% 4.86/3.57 ((~![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)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 4.86/3.57 tff(4299,plain,
% 4.86/3.57 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4298, 625, 4295])).
% 4.86/3.57 tff(4300,plain,
% 4.86/3.57 (m_main_v_turn(s48, c_2)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4299, 4159, 4195])).
% 4.86/3.57 tff(4301,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4302,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4303,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 4.86/3.57 tff(4304,plain,
% 4.86/3.57 (~m_main_v_turn(s48, c_1)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4303, 322, 4300])).
% 4.86/3.57 tff(4305,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4306,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4307,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 4.86/3.57 tff(4308,plain,
% 4.86/3.57 (~node5(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4307, 641, 4304])).
% 4.86/3.57 tff(4309,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4310,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4311,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 4.86/3.57 tff(4312,plain,
% 4.86/3.57 (~node2(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4311, 652, 4236])).
% 4.86/3.57 tff(4313,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4314,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4315,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 4.86/3.57 tff(4316,plain,
% 4.86/3.57 (~node3(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4315, 663, 4236])).
% 4.86/3.57 tff(4317,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4318,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4319,plain,
% 4.86/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 4.86/3.57 tff(4320,plain,
% 4.86/3.57 (~node4(s48)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4319, 162, 4256])).
% 4.86/3.57 tff(4321,plain,
% 4.86/3.57 (((~![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))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4322,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4323,plain,
% 4.86/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 4.86/3.57 tff(4324,plain,
% 4.86/3.57 (node7(s48, s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4323, 217, 4267])).
% 4.86/3.57 tff(4325,plain,
% 4.86/3.57 (((~![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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4326,plain,
% 4.86/3.57 ((~![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)))),
% 4.86/3.57 inference(quant_inst,[status(thm)],[])).
% 4.86/3.57 tff(4327,plain,
% 4.86/3.57 ((~![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))),
% 4.86/3.57 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 4.86/3.57 tff(4328,plain,
% 4.86/3.57 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4327, 745, 4324])).
% 4.86/3.57 tff(4329,plain,
% 4.86/3.57 (node6(s48, s49)),
% 4.86/3.57 inference(unit_resolution,[status(thm)],[4328, 4320, 4244, 4316, 4312, 4308, 4291])).
% 4.86/3.57 tff(4330,plain,
% 4.86/3.57 (((~![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(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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4331,plain,
% 4.86/3.57 (((~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)))),
% 4.86/3.57 inference(rewrite,[status(thm)],[])).
% 4.86/3.57 tff(4332,plain,
% 4.86/3.57 (((~![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))))),
% 4.86/3.57 inference(monotonicity,[status(thm)],[4331])).
% 4.86/3.57 tff(4333,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(transitivity,[status(thm)],[4332, 4330])).
% 4.86/3.58 tff(4334,plain,
% 4.86/3.58 ((~![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)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4335,plain,
% 4.86/3.58 ((~![V: $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))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 4.86/3.58 tff(4336,plain,
% 4.86/3.58 (~m_main_v_state1(s49, c_n1)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4335, 936, 4236, 4329])).
% 4.86/3.58 tff(4337,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4338,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4339,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 4.86/3.58 tff(4340,plain,
% 4.86/3.58 (~node2(s49)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4339, 652, 4336])).
% 4.86/3.58 tff(4341,plain,
% 4.86/3.58 (((~![V: $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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4342,plain,
% 4.86/3.58 (((~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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4343,plain,
% 4.86/3.58 (((~![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))))),
% 4.86/3.58 inference(monotonicity,[status(thm)],[4342])).
% 4.86/3.58 tff(4344,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(transitivity,[status(thm)],[4343, 4341])).
% 4.86/3.58 tff(4345,plain,
% 4.86/3.58 ((~![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))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4346,plain,
% 4.86/3.58 ((~![V: $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))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 4.86/3.58 tff(4347,plain,
% 4.86/3.58 (m_main_v_state1(s49, c_t1)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4346, 760, 4232, 4329])).
% 4.86/3.58 tff(4348,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4349,plain,
% 4.86/3.58 ((~![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)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4350,plain,
% 4.86/3.58 ((~![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))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 4.86/3.58 tff(4351,plain,
% 4.86/3.58 (~m_main_v_state2(s49, c_t2)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4350, 10, 4279])).
% 4.86/3.58 tff(4352,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4353,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4354,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 4.86/3.58 tff(4355,plain,
% 4.86/3.58 (~node1(s49)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4354, 206, 4351])).
% 4.86/3.58 tff(4356,plain,
% 4.86/3.58 (succ(s49, s50) <=> succ(s49, s50)),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4357,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 4.86/3.58 tff(4358,plain,
% 4.86/3.58 (succ(s49, s50)),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 4.86/3.58 tff(4359,plain,
% 4.86/3.58 (((~![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))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4360,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4361,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 4.86/3.58 tff(4362,plain,
% 4.86/3.58 (trans(s49, s50)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4361, 4358, 57])).
% 4.86/3.58 tff(4363,plain,
% 4.86/3.58 (((~![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))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4364,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4365,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 4.86/3.58 tff(4366,plain,
% 4.86/3.58 (node7(s49, s50)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4365, 217, 4362])).
% 4.86/3.58 tff(4367,plain,
% 4.86/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4368,plain,
% 4.86/3.58 (((~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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4369,plain,
% 4.86/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.86/3.58 inference(monotonicity,[status(thm)],[4368])).
% 4.86/3.58 tff(4370,plain,
% 4.86/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.86/3.58 inference(transitivity,[status(thm)],[4369, 4367])).
% 4.86/3.58 tff(4371,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4372,plain,
% 4.86/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 4.86/3.58 tff(4373,plain,
% 4.86/3.58 ((~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)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4372, 965, 4366])).
% 4.86/3.58 tff(4374,plain,
% 4.86/3.58 (m_main_v_state1(s50, c_c1)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4373, 4355, 4279, 4347, 4340, 4287])).
% 4.86/3.58 tff(4375,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4376,plain,
% 4.86/3.58 ((~![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)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4377,plain,
% 4.86/3.58 ((~![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))),
% 4.86/3.58 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 4.86/3.58 tff(4378,plain,
% 4.86/3.58 (~m_main_v_state1(s50, c_t1)),
% 4.86/3.58 inference(unit_resolution,[status(thm)],[4377, 289, 4374])).
% 4.86/3.58 tff(4379,plain,
% 4.86/3.58 (((~![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)))),
% 4.86/3.58 inference(rewrite,[status(thm)],[])).
% 4.86/3.58 tff(4380,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 4.86/3.58 inference(quant_inst,[status(thm)],[])).
% 4.86/3.58 tff(4381,plain,
% 4.86/3.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 4.95/3.58 tff(4382,plain,
% 4.95/3.58 (~node5(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4381, 300, 4378])).
% 4.95/3.58 tff(4383,plain,
% 4.95/3.58 (((~![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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4384,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4385,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 4.95/3.58 tff(4386,plain,
% 4.95/3.58 (node14(s49, s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4385, 130, 4362])).
% 4.95/3.58 tff(4387,plain,
% 4.95/3.58 (((~![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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4388,plain,
% 4.95/3.58 ((~![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))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4389,plain,
% 4.95/3.58 ((~![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)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 4.95/3.58 tff(4390,plain,
% 4.95/3.58 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4389, 893, 4386])).
% 4.95/3.58 tff(4391,plain,
% 4.95/3.58 (m_main_v_state2(s50, c_t2)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4390, 4347, 4279])).
% 4.95/3.58 tff(4392,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4393,plain,
% 4.95/3.58 ((~![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)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4394,plain,
% 4.95/3.58 ((~![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))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 4.95/3.58 tff(4395,plain,
% 4.95/3.58 (~m_main_v_state2(s50, c_n2)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4394, 10, 4391])).
% 4.95/3.58 tff(4396,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4397,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4398,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 4.95/3.58 tff(4399,plain,
% 4.95/3.58 (~node4(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4398, 162, 4395])).
% 4.95/3.58 tff(4400,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4401,plain,
% 4.95/3.58 ((~![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)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4402,plain,
% 4.95/3.58 ((~![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))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 4.95/3.58 tff(4403,plain,
% 4.95/3.58 (~m_main_v_state2(s50, c_c2)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4402, 173, 4391])).
% 4.95/3.58 tff(4404,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4405,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4406,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 4.95/3.58 tff(4407,plain,
% 4.95/3.58 (~node3(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4406, 184, 4403])).
% 4.95/3.58 tff(4408,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4409,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4410,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 4.95/3.58 tff(4411,plain,
% 4.95/3.58 (~node2(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4410, 195, 4395])).
% 4.95/3.58 tff(4412,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4413,plain,
% 4.95/3.58 ((~![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)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4414,plain,
% 4.95/3.58 ((~![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))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 4.95/3.58 tff(4415,plain,
% 4.95/3.58 (~m_main_v_state1(s50, c_n1)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4414, 449, 4374])).
% 4.95/3.58 tff(4416,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4417,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4418,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 4.95/3.58 tff(4419,plain,
% 4.95/3.58 (~node1(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4418, 249, 4415])).
% 4.95/3.58 tff(4420,plain,
% 4.95/3.58 (succ(s50, s51) <=> succ(s50, s51)),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4421,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 4.95/3.58 tff(4422,plain,
% 4.95/3.58 (succ(s50, s51)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 4.95/3.58 tff(4423,plain,
% 4.95/3.58 (((~![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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4424,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4425,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 4.95/3.58 tff(4426,plain,
% 4.95/3.58 (trans(s50, s51)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4425, 4422, 57])).
% 4.95/3.58 tff(4427,plain,
% 4.95/3.58 (((~![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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4428,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4429,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 4.95/3.58 tff(4430,plain,
% 4.95/3.58 (node7(s50, s51)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4429, 217, 4426])).
% 4.95/3.58 tff(4431,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4432,plain,
% 4.95/3.58 (((~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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4433,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.95/3.58 inference(monotonicity,[status(thm)],[4432])).
% 4.95/3.58 tff(4434,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.95/3.58 inference(transitivity,[status(thm)],[4433, 4431])).
% 4.95/3.58 tff(4435,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4436,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 4.95/3.58 tff(4437,plain,
% 4.95/3.58 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4436, 478, 4430])).
% 4.95/3.58 tff(4438,plain,
% 4.95/3.58 (m_main_v_state1(s51, c_n1)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4437, 4419, 4374, 4411, 4407, 4399, 4382])).
% 4.95/3.58 tff(4439,plain,
% 4.95/3.58 (((~![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)))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4440,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4441,plain,
% 4.95/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 4.95/3.58 tff(4442,plain,
% 4.95/3.58 (~node15(s49)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4441, 21, 4351])).
% 4.95/3.58 tff(4443,plain,
% 4.95/3.58 (((~![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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4444,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 4.95/3.58 inference(quant_inst,[status(thm)],[])).
% 4.95/3.58 tff(4445,plain,
% 4.95/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 4.95/3.58 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 4.95/3.58 tff(4446,plain,
% 4.95/3.58 (node18(s49, s50)),
% 4.95/3.58 inference(unit_resolution,[status(thm)],[4445, 71, 4362])).
% 4.95/3.58 tff(4447,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4448,plain,
% 4.95/3.58 (((~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))),
% 4.95/3.58 inference(rewrite,[status(thm)],[])).
% 4.95/3.58 tff(4449,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.95/3.58 inference(monotonicity,[status(thm)],[4448])).
% 4.95/3.58 tff(4450,plain,
% 4.95/3.58 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.95/3.59 inference(transitivity,[status(thm)],[4449, 4447])).
% 4.95/3.59 tff(4451,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4452,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 4.95/3.59 tff(4453,plain,
% 4.95/3.59 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4452, 863, 4446])).
% 4.95/3.59 tff(4454,plain,
% 4.95/3.59 (m_main_v_turn(s50, c_1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4453, 4442, 4279, 4347])).
% 4.95/3.59 tff(4455,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4456,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4457,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 4.95/3.59 tff(4458,plain,
% 4.95/3.59 (~m_main_v_turn(s50, c_2)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4457, 322, 4454])).
% 4.95/3.59 tff(4459,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4460,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4461,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 4.95/3.59 tff(4462,plain,
% 4.95/3.59 (~node12(s50)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4461, 350, 4458])).
% 4.95/3.59 tff(4463,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4464,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4465,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 4.95/3.59 tff(4466,plain,
% 4.95/3.59 (~node8(s50)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4465, 383, 4395])).
% 4.95/3.59 tff(4467,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4468,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4469,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 4.95/3.59 tff(4470,plain,
% 4.95/3.59 (~node9(s50)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4469, 311, 4395])).
% 4.95/3.59 tff(4471,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4472,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4473,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 4.95/3.59 tff(4474,plain,
% 4.95/3.59 (~node10(s50)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4473, 372, 4395])).
% 4.95/3.59 tff(4475,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4476,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4477,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 4.95/3.59 tff(4478,plain,
% 4.95/3.59 (~node11(s50)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4477, 361, 4415])).
% 4.95/3.59 tff(4479,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4480,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4481,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 4.95/3.59 tff(4482,plain,
% 4.95/3.59 (node14(s50, s51)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4481, 130, 4426])).
% 4.95/3.59 tff(4483,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4484,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4485,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 4.95/3.59 tff(4486,plain,
% 4.95/3.59 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4485, 401, 4482])).
% 4.95/3.59 tff(4487,plain,
% 4.95/3.59 (node13(s50, s51)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4486, 4478, 4403, 4474, 4470, 4466, 4462])).
% 4.95/3.59 tff(4488,plain,
% 4.95/3.59 (((~![V: $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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4489,plain,
% 4.95/3.59 (((~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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4490,plain,
% 4.95/3.59 (((~![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))))),
% 4.95/3.59 inference(monotonicity,[status(thm)],[4489])).
% 4.95/3.59 tff(4491,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(transitivity,[status(thm)],[4490, 4488])).
% 4.95/3.59 tff(4492,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4493,plain,
% 4.95/3.59 ((~![V: $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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 4.95/3.59 tff(4494,plain,
% 4.95/3.59 (m_main_v_state2(s51, c_t2)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4493, 563, 4391, 4487])).
% 4.95/3.59 tff(4495,plain,
% 4.95/3.59 (succ(s51, s52) <=> succ(s51, s52)),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4496,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 4.95/3.59 tff(4497,plain,
% 4.95/3.59 (succ(s51, s52)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 4.95/3.59 tff(4498,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4499,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4500,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 4.95/3.59 tff(4501,plain,
% 4.95/3.59 (trans(s51, s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4500, 4497, 57])).
% 4.95/3.59 tff(4502,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4503,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4504,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 4.95/3.59 tff(4505,plain,
% 4.95/3.59 (node7(s51, s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4504, 217, 4501])).
% 4.95/3.59 tff(4506,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4507,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4508,plain,
% 4.95/3.59 ((~![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)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 4.95/3.59 tff(4509,plain,
% 4.95/3.59 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4508, 598, 4505])).
% 4.95/3.59 tff(4510,plain,
% 4.95/3.59 (m_main_v_state1(s52, c_t1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4509, 4494, 4438])).
% 4.95/3.59 tff(4511,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4512,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4513,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 4.95/3.59 tff(4514,plain,
% 4.95/3.59 (~m_main_v_state1(s52, c_n1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4513, 35, 4510])).
% 4.95/3.59 tff(4515,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4516,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4517,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 4.95/3.59 tff(4518,plain,
% 4.95/3.59 (~node1(s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4517, 249, 4514])).
% 4.95/3.59 tff(4519,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4520,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4521,plain,
% 4.95/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 4.95/3.59 tff(4522,plain,
% 4.95/3.59 (node18(s51, s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4521, 71, 4501])).
% 4.95/3.59 tff(4523,plain,
% 4.95/3.59 (((~![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))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4524,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4525,plain,
% 4.95/3.59 ((~![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)),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 4.95/3.59 tff(4526,plain,
% 4.95/3.59 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4525, 625, 4522])).
% 4.95/3.59 tff(4527,plain,
% 4.95/3.59 (m_main_v_turn(s52, c_2)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4526, 4494, 4438])).
% 4.95/3.59 tff(4528,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4529,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4530,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 4.95/3.59 tff(4531,plain,
% 4.95/3.59 (~m_main_v_turn(s52, c_1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4530, 322, 4527])).
% 4.95/3.59 tff(4532,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4533,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4534,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 4.95/3.59 tff(4535,plain,
% 4.95/3.59 (~node5(s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4534, 641, 4531])).
% 4.95/3.59 tff(4536,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4537,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4538,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 4.95/3.59 tff(4539,plain,
% 4.95/3.59 (~node2(s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4538, 652, 4514])).
% 4.95/3.59 tff(4540,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4541,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4542,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 4.95/3.59 tff(4543,plain,
% 4.95/3.59 (~node3(s52)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4542, 663, 4514])).
% 4.95/3.59 tff(4544,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4545,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4546,plain,
% 4.95/3.59 ((~![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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 4.95/3.59 tff(4547,plain,
% 4.95/3.59 (~m_main_v_state1(s52, c_c1)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4546, 289, 4510])).
% 4.95/3.59 tff(4548,plain,
% 4.95/3.59 (((~![V: $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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4549,plain,
% 4.95/3.59 (((~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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4550,plain,
% 4.95/3.59 (((~![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))))),
% 4.95/3.59 inference(monotonicity,[status(thm)],[4549])).
% 4.95/3.59 tff(4551,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(transitivity,[status(thm)],[4550, 4548])).
% 4.95/3.59 tff(4552,plain,
% 4.95/3.59 ((~![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)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4553,plain,
% 4.95/3.59 ((~![V: $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))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 4.95/3.59 tff(4554,plain,
% 4.95/3.59 (~m_main_v_state2(s51, c_n2)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4553, 416, 4395, 4487])).
% 4.95/3.59 tff(4555,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4556,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4557,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 4.95/3.59 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 4.95/3.59 tff(4558,plain,
% 4.95/3.59 (~node9(s51)),
% 4.95/3.59 inference(unit_resolution,[status(thm)],[4557, 311, 4554])).
% 4.95/3.59 tff(4559,plain,
% 4.95/3.59 (((~![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)))),
% 4.95/3.59 inference(rewrite,[status(thm)],[])).
% 4.95/3.59 tff(4560,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 4.95/3.59 inference(quant_inst,[status(thm)],[])).
% 4.95/3.59 tff(4561,plain,
% 4.95/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 4.96/3.60 tff(4562,plain,
% 4.96/3.60 (~node10(s51)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4561, 372, 4554])).
% 4.96/3.60 tff(4563,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4564,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4565,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 4.96/3.60 tff(4566,plain,
% 4.96/3.60 (~node8(s51)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4565, 383, 4554])).
% 4.96/3.60 tff(4567,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4568,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4569,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 4.96/3.60 tff(4570,plain,
% 4.96/3.60 (node14(s51, s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4569, 130, 4501])).
% 4.96/3.60 tff(4571,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4572,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4573,plain,
% 4.96/3.60 ((~![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)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 4.96/3.60 tff(4574,plain,
% 4.96/3.60 ((~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)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4573, 704, 4570])).
% 4.96/3.60 tff(4575,plain,
% 4.96/3.60 (m_main_v_state2(s52, c_c2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4574, 4566, 4438, 4494, 4562, 4558])).
% 4.96/3.60 tff(4576,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4577,plain,
% 4.96/3.60 ((~![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)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4578,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 4.96/3.60 tff(4579,plain,
% 4.96/3.60 (~m_main_v_state2(s52, c_n2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4578, 716, 4575])).
% 4.96/3.60 tff(4580,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4581,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4582,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 4.96/3.60 tff(4583,plain,
% 4.96/3.60 (~node4(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4582, 162, 4579])).
% 4.96/3.60 tff(4584,plain,
% 4.96/3.60 (succ(s52, s53) <=> succ(s52, s53)),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4585,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 4.96/3.60 tff(4586,plain,
% 4.96/3.60 (succ(s52, s53)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 4.96/3.60 tff(4587,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4588,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4589,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 4.96/3.60 tff(4590,plain,
% 4.96/3.60 (trans(s52, s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4589, 4586, 57])).
% 4.96/3.60 tff(4591,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4592,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4593,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 4.96/3.60 tff(4594,plain,
% 4.96/3.60 (node7(s52, s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4593, 217, 4590])).
% 4.96/3.60 tff(4595,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4596,plain,
% 4.96/3.60 ((~![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)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4597,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 4.96/3.60 tff(4598,plain,
% 4.96/3.60 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4597, 745, 4594])).
% 4.96/3.60 tff(4599,plain,
% 4.96/3.60 (node6(s52, s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4598, 4583, 4547, 4543, 4539, 4535, 4518])).
% 4.96/3.60 tff(4600,plain,
% 4.96/3.60 (((~![V: $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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4601,plain,
% 4.96/3.60 (((~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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4602,plain,
% 4.96/3.60 (((~![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))))),
% 4.96/3.60 inference(monotonicity,[status(thm)],[4601])).
% 4.96/3.60 tff(4603,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(transitivity,[status(thm)],[4602, 4600])).
% 4.96/3.60 tff(4604,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4605,plain,
% 4.96/3.60 ((~![V: $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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 4.96/3.60 tff(4606,plain,
% 4.96/3.60 (m_main_v_state1(s53, c_t1)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4605, 760, 4510, 4599])).
% 4.96/3.60 tff(4607,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4608,plain,
% 4.96/3.60 ((~![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)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4609,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 4.96/3.60 tff(4610,plain,
% 4.96/3.60 (~m_main_v_state2(s52, c_t2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4609, 173, 4575])).
% 4.96/3.60 tff(4611,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4612,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4613,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 4.96/3.60 tff(4614,plain,
% 4.96/3.60 (~node12(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4613, 778, 4610])).
% 4.96/3.60 tff(4615,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4616,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4617,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 4.96/3.60 tff(4618,plain,
% 4.96/3.60 (~node11(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4617, 361, 4514])).
% 4.96/3.60 tff(4619,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4620,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4621,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 4.96/3.60 tff(4622,plain,
% 4.96/3.60 (~node10(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4621, 793, 4547])).
% 4.96/3.60 tff(4623,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4624,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4625,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 4.96/3.60 tff(4626,plain,
% 4.96/3.60 (~node9(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4625, 804, 4514])).
% 4.96/3.60 tff(4627,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4628,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4629,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 4.96/3.60 tff(4630,plain,
% 4.96/3.60 (~node8(s52)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4629, 383, 4579])).
% 4.96/3.60 tff(4631,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4632,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4633,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 4.96/3.60 tff(4634,plain,
% 4.96/3.60 (node14(s52, s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4633, 130, 4590])).
% 4.96/3.60 tff(4635,plain,
% 4.96/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4636,plain,
% 4.96/3.60 (((~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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4637,plain,
% 4.96/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.96/3.60 inference(monotonicity,[status(thm)],[4636])).
% 4.96/3.60 tff(4638,plain,
% 4.96/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.96/3.60 inference(transitivity,[status(thm)],[4637, 4635])).
% 4.96/3.60 tff(4639,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4640,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 4.96/3.60 tff(4641,plain,
% 4.96/3.60 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4640, 826, 4634])).
% 4.96/3.60 tff(4642,plain,
% 4.96/3.60 (m_main_v_state2(s53, c_n2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4641, 4630, 4575, 4626, 4622, 4618, 4614])).
% 4.96/3.60 tff(4643,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4644,plain,
% 4.96/3.60 ((~![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)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4645,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 4.96/3.60 tff(4646,plain,
% 4.96/3.60 (~m_main_v_state2(s53, c_t2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4645, 10, 4642])).
% 4.96/3.60 tff(4647,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4648,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4649,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 4.96/3.60 tff(4650,plain,
% 4.96/3.60 (~node15(s53)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4649, 21, 4646])).
% 4.96/3.60 tff(4651,plain,
% 4.96/3.60 (succ(s53, s54) <=> succ(s53, s54)),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4652,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 4.96/3.60 tff(4653,plain,
% 4.96/3.60 (succ(s53, s54)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 4.96/3.60 tff(4654,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4655,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4656,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 4.96/3.60 tff(4657,plain,
% 4.96/3.60 (trans(s53, s54)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4656, 4653, 57])).
% 4.96/3.60 tff(4658,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4659,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4660,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 4.96/3.60 tff(4661,plain,
% 4.96/3.60 (node18(s53, s54)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4660, 71, 4657])).
% 4.96/3.60 tff(4662,plain,
% 4.96/3.60 (((~![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(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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4663,plain,
% 4.96/3.60 (((~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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4664,plain,
% 4.96/3.60 (((~![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(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)))),
% 4.96/3.60 inference(monotonicity,[status(thm)],[4663])).
% 4.96/3.60 tff(4665,plain,
% 4.96/3.60 (((~![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(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))),
% 4.96/3.60 inference(transitivity,[status(thm)],[4664, 4662])).
% 4.96/3.60 tff(4666,plain,
% 4.96/3.60 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4667,plain,
% 4.96/3.60 ((~![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(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)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 4.96/3.60 tff(4668,plain,
% 4.96/3.60 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4667, 863, 4661])).
% 4.96/3.60 tff(4669,plain,
% 4.96/3.60 (m_main_v_turn(s54, c_1)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4668, 4650, 4642, 4606])).
% 4.96/3.60 tff(4670,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4671,plain,
% 4.96/3.60 ((~![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)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4672,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 4.96/3.60 tff(4673,plain,
% 4.96/3.60 (~m_main_v_turn(s54, c_2)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4672, 322, 4669])).
% 4.96/3.60 tff(4674,plain,
% 4.96/3.60 (((~![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)))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4675,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4676,plain,
% 4.96/3.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 4.96/3.60 tff(4677,plain,
% 4.96/3.60 (~node12(s54)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4676, 350, 4673])).
% 4.96/3.60 tff(4678,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4679,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 4.96/3.60 inference(quant_inst,[status(thm)],[])).
% 4.96/3.60 tff(4680,plain,
% 4.96/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 4.96/3.60 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 4.96/3.60 tff(4681,plain,
% 4.96/3.60 (node14(s53, s54)),
% 4.96/3.60 inference(unit_resolution,[status(thm)],[4680, 130, 4657])).
% 4.96/3.60 tff(4682,plain,
% 4.96/3.60 (((~![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))),
% 4.96/3.60 inference(rewrite,[status(thm)],[])).
% 4.96/3.60 tff(4683,plain,
% 4.96/3.60 ((~![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))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4684,plain,
% 4.96/3.61 ((~![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)),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 4.96/3.61 tff(4685,plain,
% 4.96/3.61 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4684, 893, 4681])).
% 4.96/3.61 tff(4686,plain,
% 4.96/3.61 (m_main_v_state2(s54, c_t2)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4685, 4606, 4642])).
% 4.96/3.61 tff(4687,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4688,plain,
% 4.96/3.61 ((~![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)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4689,plain,
% 4.96/3.61 ((~![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))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 4.96/3.61 tff(4690,plain,
% 4.96/3.61 (~m_main_v_state2(s54, c_n2)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4689, 10, 4686])).
% 4.96/3.61 tff(4691,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4692,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4693,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 4.96/3.61 tff(4694,plain,
% 4.96/3.61 (~node8(s54)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4693, 383, 4690])).
% 4.96/3.61 tff(4695,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4696,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4697,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 4.96/3.61 tff(4698,plain,
% 4.96/3.61 (~node9(s54)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4697, 311, 4690])).
% 4.96/3.61 tff(4699,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4700,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4701,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 4.96/3.61 tff(4702,plain,
% 4.96/3.61 (~node10(s54)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4701, 372, 4690])).
% 4.96/3.61 tff(4703,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4704,plain,
% 4.96/3.61 ((~![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)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4705,plain,
% 4.96/3.61 ((~![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))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 4.96/3.61 tff(4706,plain,
% 4.96/3.61 (~m_main_v_state2(s54, c_c2)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4705, 173, 4686])).
% 4.96/3.61 tff(4707,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4708,plain,
% 4.96/3.61 ((~![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)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4709,plain,
% 4.96/3.61 ((~![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))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 4.96/3.61 tff(4710,plain,
% 4.96/3.61 (~m_main_v_state2(s53, c_c2)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4709, 716, 4642])).
% 4.96/3.61 tff(4711,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4712,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4713,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 4.96/3.61 tff(4714,plain,
% 4.96/3.61 (~node3(s53)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4713, 184, 4710])).
% 4.96/3.61 tff(4715,plain,
% 4.96/3.61 (((~![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(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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4716,plain,
% 4.96/3.61 (((~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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4717,plain,
% 4.96/3.61 (((~![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))))),
% 4.96/3.61 inference(monotonicity,[status(thm)],[4716])).
% 4.96/3.61 tff(4718,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(transitivity,[status(thm)],[4717, 4715])).
% 4.96/3.61 tff(4719,plain,
% 4.96/3.61 ((~![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)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4720,plain,
% 4.96/3.61 ((~![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(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 4.96/3.61 tff(4721,plain,
% 4.96/3.61 (~m_main_v_state1(s53, c_n1)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4720, 936, 4514, 4599])).
% 4.96/3.61 tff(4722,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4723,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4724,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 4.96/3.61 tff(4725,plain,
% 4.96/3.61 (~node2(s53)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4724, 652, 4721])).
% 4.96/3.61 tff(4726,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4727,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4728,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 4.96/3.61 tff(4729,plain,
% 4.96/3.61 (~node1(s53)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4728, 206, 4646])).
% 4.96/3.61 tff(4730,plain,
% 4.96/3.61 (((~![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))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4731,plain,
% 4.96/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4732,plain,
% 4.96/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 4.96/3.61 tff(4733,plain,
% 4.96/3.61 (node7(s53, s54)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4732, 217, 4657])).
% 4.96/3.61 tff(4734,plain,
% 4.96/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4735,plain,
% 4.96/3.61 (((~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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4736,plain,
% 4.96/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.96/3.61 inference(monotonicity,[status(thm)],[4735])).
% 4.96/3.61 tff(4737,plain,
% 4.96/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.96/3.61 inference(transitivity,[status(thm)],[4736, 4734])).
% 4.96/3.61 tff(4738,plain,
% 4.96/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4739,plain,
% 4.96/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 4.96/3.61 tff(4740,plain,
% 4.96/3.61 ((~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)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4739, 965, 4733])).
% 4.96/3.61 tff(4741,plain,
% 4.96/3.61 (m_main_v_state1(s54, c_c1)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4740, 4729, 4642, 4606, 4725, 4714])).
% 4.96/3.61 tff(4742,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4743,plain,
% 4.96/3.61 ((~![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)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4744,plain,
% 4.96/3.61 ((~![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))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 4.96/3.61 tff(4745,plain,
% 4.96/3.61 (~m_main_v_state1(s54, c_n1)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4744, 449, 4741])).
% 4.96/3.61 tff(4746,plain,
% 4.96/3.61 (((~![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)))),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4747,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 4.96/3.61 inference(quant_inst,[status(thm)],[])).
% 4.96/3.61 tff(4748,plain,
% 4.96/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 4.96/3.61 tff(4749,plain,
% 4.96/3.61 (~node11(s54)),
% 4.96/3.61 inference(unit_resolution,[status(thm)],[4748, 361, 4745])).
% 4.96/3.61 tff(4750,plain,
% 4.96/3.61 (succ(s54, s55) <=> succ(s54, s55)),
% 4.96/3.61 inference(rewrite,[status(thm)],[])).
% 4.96/3.61 tff(4751,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 4.96/3.61 tff(4752,plain,
% 4.96/3.61 (succ(s54, s55)),
% 4.96/3.61 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 4.96/3.61 tff(4753,plain,
% 4.96/3.61 (((~![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))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4754,plain,
% 4.98/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4755,plain,
% 4.98/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 4.98/3.61 tff(4756,plain,
% 4.98/3.61 (trans(s54, s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4755, 4752, 57])).
% 4.98/3.61 tff(4757,plain,
% 4.98/3.61 (((~![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))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4758,plain,
% 4.98/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4759,plain,
% 4.98/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 4.98/3.61 tff(4760,plain,
% 4.98/3.61 (node14(s54, s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4759, 130, 4756])).
% 4.98/3.61 tff(4761,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4762,plain,
% 4.98/3.61 ((~![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)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4763,plain,
% 4.98/3.61 ((~![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))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 4.98/3.61 tff(4764,plain,
% 4.98/3.61 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4763, 401, 4760])).
% 4.98/3.61 tff(4765,plain,
% 4.98/3.61 (node13(s54, s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4764, 4749, 4706, 4702, 4698, 4694, 4677])).
% 4.98/3.61 tff(4766,plain,
% 4.98/3.61 (((~![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(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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4767,plain,
% 4.98/3.61 (((~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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4768,plain,
% 4.98/3.61 (((~![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))))),
% 4.98/3.61 inference(monotonicity,[status(thm)],[4767])).
% 4.98/3.61 tff(4769,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(transitivity,[status(thm)],[4768, 4766])).
% 4.98/3.61 tff(4770,plain,
% 4.98/3.61 ((~![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)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4771,plain,
% 4.98/3.61 ((~![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(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 4.98/3.61 tff(4772,plain,
% 4.98/3.61 (~m_main_v_state2(s55, c_n2)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4771, 416, 4690, 4765])).
% 4.98/3.61 tff(4773,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4774,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4775,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 4.98/3.61 tff(4776,plain,
% 4.98/3.61 (~node9(s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4775, 311, 4772])).
% 4.98/3.61 tff(4777,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4778,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4779,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 4.98/3.61 tff(4780,plain,
% 4.98/3.61 (~node10(s55)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4779, 372, 4772])).
% 4.98/3.61 tff(4781,plain,
% 4.98/3.61 (((~![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(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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4782,plain,
% 4.98/3.61 (((~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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4783,plain,
% 4.98/3.61 (((~![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))))),
% 4.98/3.61 inference(monotonicity,[status(thm)],[4782])).
% 4.98/3.61 tff(4784,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(transitivity,[status(thm)],[4783, 4781])).
% 4.98/3.61 tff(4785,plain,
% 4.98/3.61 ((~![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))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4786,plain,
% 4.98/3.61 ((~![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(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 4.98/3.61 tff(4787,plain,
% 4.98/3.61 (m_main_v_state2(s55, c_t2)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4786, 563, 4686, 4765])).
% 4.98/3.61 tff(4788,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4789,plain,
% 4.98/3.61 ((~![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)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4790,plain,
% 4.98/3.61 ((~![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))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 4.98/3.61 tff(4791,plain,
% 4.98/3.61 (~m_main_v_state1(s54, c_t1)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4790, 289, 4741])).
% 4.98/3.61 tff(4792,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4793,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4794,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 4.98/3.61 tff(4795,plain,
% 4.98/3.61 (~node5(s54)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4794, 300, 4791])).
% 4.98/3.61 tff(4796,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4797,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4798,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 4.98/3.61 tff(4799,plain,
% 4.98/3.61 (~node4(s54)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4798, 162, 4690])).
% 4.98/3.61 tff(4800,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4801,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 4.98/3.61 inference(quant_inst,[status(thm)],[])).
% 4.98/3.61 tff(4802,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 4.98/3.61 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 4.98/3.61 tff(4803,plain,
% 4.98/3.61 (~node3(s54)),
% 4.98/3.61 inference(unit_resolution,[status(thm)],[4802, 184, 4706])).
% 4.98/3.61 tff(4804,plain,
% 4.98/3.61 (((~![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)))),
% 4.98/3.61 inference(rewrite,[status(thm)],[])).
% 4.98/3.61 tff(4805,plain,
% 4.98/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4806,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 4.98/3.62 tff(4807,plain,
% 4.98/3.62 (~node2(s54)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4806, 195, 4690])).
% 4.98/3.62 tff(4808,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4809,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4810,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 4.98/3.62 tff(4811,plain,
% 4.98/3.62 (~node1(s54)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4810, 249, 4745])).
% 4.98/3.62 tff(4812,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4813,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4814,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 4.98/3.62 tff(4815,plain,
% 4.98/3.62 (node7(s54, s55)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4814, 217, 4756])).
% 4.98/3.62 tff(4816,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4817,plain,
% 4.98/3.62 (((~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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4818,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.98/3.62 inference(monotonicity,[status(thm)],[4817])).
% 4.98/3.62 tff(4819,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.98/3.62 inference(transitivity,[status(thm)],[4818, 4816])).
% 4.98/3.62 tff(4820,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4821,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 4.98/3.62 tff(4822,plain,
% 4.98/3.62 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4821, 478, 4815])).
% 4.98/3.62 tff(4823,plain,
% 4.98/3.62 (m_main_v_state1(s55, c_n1)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4822, 4811, 4741, 4807, 4803, 4799, 4795])).
% 4.98/3.62 tff(4824,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4825,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4826,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 4.98/3.62 tff(4827,plain,
% 4.98/3.62 (~node8(s55)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4826, 383, 4772])).
% 4.98/3.62 tff(4828,plain,
% 4.98/3.62 (succ(s55, s56) <=> succ(s55, s56)),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4829,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 4.98/3.62 tff(4830,plain,
% 4.98/3.62 (succ(s55, s56)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 4.98/3.62 tff(4831,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4832,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4833,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 4.98/3.62 tff(4834,plain,
% 4.98/3.62 (trans(s55, s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4833, 4830, 57])).
% 4.98/3.62 tff(4835,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4836,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4837,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 4.98/3.62 tff(4838,plain,
% 4.98/3.62 (node14(s55, s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4837, 130, 4834])).
% 4.98/3.62 tff(4839,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4840,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4841,plain,
% 4.98/3.62 ((~![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)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 4.98/3.62 tff(4842,plain,
% 4.98/3.62 ((~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)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4841, 704, 4838])).
% 4.98/3.62 tff(4843,plain,
% 4.98/3.62 (m_main_v_state2(s56, c_c2)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4842, 4827, 4823, 4787, 4780, 4776])).
% 4.98/3.62 tff(4844,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4845,plain,
% 4.98/3.62 ((~![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)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4846,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 4.98/3.62 tff(4847,plain,
% 4.98/3.62 (~m_main_v_state2(s56, c_t2)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4846, 173, 4843])).
% 4.98/3.62 tff(4848,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4849,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4850,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 4.98/3.62 tff(4851,plain,
% 4.98/3.62 (~node12(s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4850, 778, 4847])).
% 4.98/3.62 tff(4852,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4853,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4854,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 4.98/3.62 tff(4855,plain,
% 4.98/3.62 (node7(s55, s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4854, 217, 4834])).
% 4.98/3.62 tff(4856,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4857,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4858,plain,
% 4.98/3.62 ((~![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)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 4.98/3.62 tff(4859,plain,
% 4.98/3.62 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4858, 598, 4855])).
% 4.98/3.62 tff(4860,plain,
% 4.98/3.62 (m_main_v_state1(s56, c_t1)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4859, 4787, 4823])).
% 4.98/3.62 tff(4861,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4862,plain,
% 4.98/3.62 ((~![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)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4863,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 4.98/3.62 tff(4864,plain,
% 4.98/3.62 (~m_main_v_state1(s56, c_n1)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4863, 35, 4860])).
% 4.98/3.62 tff(4865,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4866,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4867,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 4.98/3.62 tff(4868,plain,
% 4.98/3.62 (~node11(s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4867, 361, 4864])).
% 4.98/3.62 tff(4869,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4870,plain,
% 4.98/3.62 ((~![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)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4871,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 4.98/3.62 tff(4872,plain,
% 4.98/3.62 (~m_main_v_state1(s56, c_c1)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4871, 289, 4860])).
% 4.98/3.62 tff(4873,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4874,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4875,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 4.98/3.62 tff(4876,plain,
% 4.98/3.62 (~node10(s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4875, 793, 4872])).
% 4.98/3.62 tff(4877,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4878,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4879,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 4.98/3.62 tff(4880,plain,
% 4.98/3.62 (~node9(s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4879, 804, 4864])).
% 4.98/3.62 tff(4881,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4882,plain,
% 4.98/3.62 ((~![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)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4883,plain,
% 4.98/3.62 ((~![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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 4.98/3.62 tff(4884,plain,
% 4.98/3.62 (~m_main_v_state2(s56, c_n2)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4883, 716, 4843])).
% 4.98/3.62 tff(4885,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4886,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4887,plain,
% 4.98/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 4.98/3.62 tff(4888,plain,
% 4.98/3.62 (~node8(s56)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4887, 383, 4884])).
% 4.98/3.62 tff(4889,plain,
% 4.98/3.62 (succ(s56, s57) <=> succ(s56, s57)),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4890,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 4.98/3.62 tff(4891,plain,
% 4.98/3.62 (succ(s56, s57)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 4.98/3.62 tff(4892,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4893,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4894,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 4.98/3.62 tff(4895,plain,
% 4.98/3.62 (trans(s56, s57)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4894, 4891, 57])).
% 4.98/3.62 tff(4896,plain,
% 4.98/3.62 (((~![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))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4897,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4898,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 4.98/3.62 tff(4899,plain,
% 4.98/3.62 (node14(s56, s57)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4898, 130, 4895])).
% 4.98/3.62 tff(4900,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4901,plain,
% 4.98/3.62 (((~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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4902,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.98/3.62 inference(monotonicity,[status(thm)],[4901])).
% 4.98/3.62 tff(4903,plain,
% 4.98/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.98/3.62 inference(transitivity,[status(thm)],[4902, 4900])).
% 4.98/3.62 tff(4904,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.98/3.62 inference(quant_inst,[status(thm)],[])).
% 4.98/3.62 tff(4905,plain,
% 4.98/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.98/3.62 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 4.98/3.62 tff(4906,plain,
% 4.98/3.62 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4905, 826, 4899])).
% 4.98/3.62 tff(4907,plain,
% 4.98/3.62 (m_main_v_state2(s57, c_n2)),
% 4.98/3.62 inference(unit_resolution,[status(thm)],[4906, 4888, 4843, 4880, 4876, 4868, 4851])).
% 4.98/3.62 tff(4908,plain,
% 4.98/3.62 (((~![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)))),
% 4.98/3.62 inference(rewrite,[status(thm)],[])).
% 4.98/3.62 tff(4909,plain,
% 4.98/3.62 ((~![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)))),
% 4.98/3.63 inference(quant_inst,[status(thm)],[])).
% 4.98/3.63 tff(4910,plain,
% 4.98/3.63 ((~![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))),
% 4.98/3.63 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 4.98/3.63 tff(4911,plain,
% 4.98/3.63 (~m_main_v_state2(s57, c_c2)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4910, 716, 4907])).
% 4.98/3.63 tff(4912,plain,
% 4.98/3.63 (((~![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)))),
% 4.98/3.63 inference(rewrite,[status(thm)],[])).
% 4.98/3.63 tff(4913,plain,
% 4.98/3.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 4.98/3.63 inference(quant_inst,[status(thm)],[])).
% 4.98/3.63 tff(4914,plain,
% 4.98/3.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 4.98/3.63 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 4.98/3.63 tff(4915,plain,
% 4.98/3.63 (~node3(s57)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4914, 184, 4911])).
% 4.98/3.63 tff(4916,plain,
% 4.98/3.63 (((~![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)))),
% 4.98/3.63 inference(rewrite,[status(thm)],[])).
% 4.98/3.63 tff(4917,plain,
% 4.98/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 4.98/3.63 inference(quant_inst,[status(thm)],[])).
% 4.98/3.63 tff(4918,plain,
% 4.98/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 4.98/3.63 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 4.98/3.63 tff(4919,plain,
% 4.98/3.63 (~node1(s56)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4918, 249, 4864])).
% 4.98/3.63 tff(4920,plain,
% 4.98/3.63 (((~![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))),
% 4.98/3.63 inference(rewrite,[status(thm)],[])).
% 4.98/3.63 tff(4921,plain,
% 4.98/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 4.98/3.63 inference(quant_inst,[status(thm)],[])).
% 4.98/3.63 tff(4922,plain,
% 4.98/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 4.98/3.63 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 4.98/3.63 tff(4923,plain,
% 4.98/3.63 (node18(s55, s56)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4922, 71, 4834])).
% 4.98/3.63 tff(4924,plain,
% 4.98/3.63 (((~![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))),
% 4.98/3.63 inference(rewrite,[status(thm)],[])).
% 4.98/3.63 tff(4925,plain,
% 4.98/3.63 ((~![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))),
% 4.98/3.63 inference(quant_inst,[status(thm)],[])).
% 4.98/3.63 tff(4926,plain,
% 4.98/3.63 ((~![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)),
% 4.98/3.63 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 4.98/3.63 tff(4927,plain,
% 4.98/3.63 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4926, 625, 4923])).
% 4.98/3.63 tff(4928,plain,
% 4.98/3.63 (m_main_v_turn(s56, c_2)),
% 4.98/3.63 inference(unit_resolution,[status(thm)],[4927, 4787, 4823])).
% 4.98/3.63 tff(4929,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4930,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4931,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 4.99/3.63 tff(4932,plain,
% 4.99/3.63 (~m_main_v_turn(s56, c_1)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4931, 322, 4928])).
% 4.99/3.63 tff(4933,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4934,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4935,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 4.99/3.63 tff(4936,plain,
% 4.99/3.63 (~node5(s56)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4935, 641, 4932])).
% 4.99/3.63 tff(4937,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4938,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4939,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 4.99/3.63 tff(4940,plain,
% 4.99/3.63 (~node2(s56)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4939, 652, 4864])).
% 4.99/3.63 tff(4941,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4942,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4943,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 4.99/3.63 tff(4944,plain,
% 4.99/3.63 (~node3(s56)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4943, 663, 4864])).
% 4.99/3.63 tff(4945,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4946,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4947,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 4.99/3.63 tff(4948,plain,
% 4.99/3.63 (~node4(s56)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4947, 162, 4884])).
% 4.99/3.63 tff(4949,plain,
% 4.99/3.63 (((~![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))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4950,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4951,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 4.99/3.63 tff(4952,plain,
% 4.99/3.63 (node7(s56, s57)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4951, 217, 4895])).
% 4.99/3.63 tff(4953,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4954,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4955,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 4.99/3.63 tff(4956,plain,
% 4.99/3.63 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4955, 745, 4952])).
% 4.99/3.63 tff(4957,plain,
% 4.99/3.63 (node6(s56, s57)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4956, 4948, 4872, 4944, 4940, 4936, 4919])).
% 4.99/3.63 tff(4958,plain,
% 4.99/3.63 (((~![V: $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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4959,plain,
% 4.99/3.63 (((~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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4960,plain,
% 4.99/3.63 (((~![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))))),
% 4.99/3.63 inference(monotonicity,[status(thm)],[4959])).
% 4.99/3.63 tff(4961,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(transitivity,[status(thm)],[4960, 4958])).
% 4.99/3.63 tff(4962,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4963,plain,
% 4.99/3.63 ((~![V: $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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 4.99/3.63 tff(4964,plain,
% 4.99/3.63 (~m_main_v_state1(s57, c_n1)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4963, 936, 4864, 4957])).
% 4.99/3.63 tff(4965,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4966,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4967,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 4.99/3.63 tff(4968,plain,
% 4.99/3.63 (~node2(s57)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4967, 652, 4964])).
% 4.99/3.63 tff(4969,plain,
% 4.99/3.63 (((~![V: $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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4970,plain,
% 4.99/3.63 (((~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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4971,plain,
% 4.99/3.63 (((~![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))))),
% 4.99/3.63 inference(monotonicity,[status(thm)],[4970])).
% 4.99/3.63 tff(4972,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(transitivity,[status(thm)],[4971, 4969])).
% 4.99/3.63 tff(4973,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4974,plain,
% 4.99/3.63 ((~![V: $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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 4.99/3.63 tff(4975,plain,
% 4.99/3.63 (m_main_v_state1(s57, c_t1)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4974, 760, 4860, 4957])).
% 4.99/3.63 tff(4976,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4977,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4978,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 4.99/3.63 tff(4979,plain,
% 4.99/3.63 (~m_main_v_state2(s57, c_t2)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4978, 10, 4907])).
% 4.99/3.63 tff(4980,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4981,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4982,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 4.99/3.63 tff(4983,plain,
% 4.99/3.63 (~node1(s57)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4982, 206, 4979])).
% 4.99/3.63 tff(4984,plain,
% 4.99/3.63 (succ(s57, s58) <=> succ(s57, s58)),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4985,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 4.99/3.63 tff(4986,plain,
% 4.99/3.63 (succ(s57, s58)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 4.99/3.63 tff(4987,plain,
% 4.99/3.63 (((~![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))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4988,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4989,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 4.99/3.63 tff(4990,plain,
% 4.99/3.63 (trans(s57, s58)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4989, 4986, 57])).
% 4.99/3.63 tff(4991,plain,
% 4.99/3.63 (((~![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))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4992,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(4993,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 4.99/3.63 tff(4994,plain,
% 4.99/3.63 (node7(s57, s58)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[4993, 217, 4990])).
% 4.99/3.63 tff(4995,plain,
% 4.99/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4996,plain,
% 4.99/3.63 (((~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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(4997,plain,
% 4.99/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.99/3.63 inference(monotonicity,[status(thm)],[4996])).
% 4.99/3.63 tff(4998,plain,
% 4.99/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.99/3.63 inference(transitivity,[status(thm)],[4997, 4995])).
% 4.99/3.63 tff(4999,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5000,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 4.99/3.63 tff(5001,plain,
% 4.99/3.63 ((~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)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5000, 965, 4994])).
% 4.99/3.63 tff(5002,plain,
% 4.99/3.63 (m_main_v_state1(s58, c_c1)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5001, 4983, 4907, 4975, 4968, 4915])).
% 4.99/3.63 tff(5003,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5004,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5005,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 4.99/3.63 tff(5006,plain,
% 4.99/3.63 (~m_main_v_state1(s58, c_t1)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5005, 289, 5002])).
% 4.99/3.63 tff(5007,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5008,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5009,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 4.99/3.63 tff(5010,plain,
% 4.99/3.63 (~node5(s58)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5009, 300, 5006])).
% 4.99/3.63 tff(5011,plain,
% 4.99/3.63 (((~![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))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5012,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5013,plain,
% 4.99/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 4.99/3.63 tff(5014,plain,
% 4.99/3.63 (node14(s57, s58)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5013, 130, 4990])).
% 4.99/3.63 tff(5015,plain,
% 4.99/3.63 (((~![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))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5016,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5017,plain,
% 4.99/3.63 ((~![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)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 4.99/3.63 tff(5018,plain,
% 4.99/3.63 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5017, 893, 5014])).
% 4.99/3.63 tff(5019,plain,
% 4.99/3.63 (m_main_v_state2(s58, c_t2)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5018, 4975, 4907])).
% 4.99/3.63 tff(5020,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5021,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5022,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 4.99/3.63 tff(5023,plain,
% 4.99/3.63 (~m_main_v_state2(s58, c_n2)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5022, 10, 5019])).
% 4.99/3.63 tff(5024,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5025,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5026,plain,
% 4.99/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 4.99/3.63 tff(5027,plain,
% 4.99/3.63 (~node4(s58)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5026, 162, 5023])).
% 4.99/3.63 tff(5028,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(5029,plain,
% 4.99/3.63 ((~![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)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(5030,plain,
% 4.99/3.63 ((~![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))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 4.99/3.63 tff(5031,plain,
% 4.99/3.63 (~m_main_v_state2(s58, c_c2)),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[5030, 173, 5019])).
% 4.99/3.63 tff(5032,plain,
% 4.99/3.63 (((~![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)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5033,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5034,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 4.99/3.64 tff(5035,plain,
% 4.99/3.64 (~node3(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5034, 184, 5031])).
% 4.99/3.64 tff(5036,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5037,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5038,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 4.99/3.64 tff(5039,plain,
% 4.99/3.64 (~node2(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5038, 195, 5023])).
% 4.99/3.64 tff(5040,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5041,plain,
% 4.99/3.64 ((~![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)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5042,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 4.99/3.64 tff(5043,plain,
% 4.99/3.64 (~m_main_v_state1(s58, c_n1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5042, 449, 5002])).
% 4.99/3.64 tff(5044,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5045,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5046,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 4.99/3.64 tff(5047,plain,
% 4.99/3.64 (~node1(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5046, 249, 5043])).
% 4.99/3.64 tff(5048,plain,
% 4.99/3.64 (succ(s58, s59) <=> succ(s58, s59)),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5049,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 4.99/3.64 tff(5050,plain,
% 4.99/3.64 (succ(s58, s59)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 4.99/3.64 tff(5051,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5052,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5053,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 4.99/3.64 tff(5054,plain,
% 4.99/3.64 (trans(s58, s59)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5053, 5050, 57])).
% 4.99/3.64 tff(5055,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5056,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5057,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 4.99/3.64 tff(5058,plain,
% 4.99/3.64 (node7(s58, s59)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5057, 217, 5054])).
% 4.99/3.64 tff(5059,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5060,plain,
% 4.99/3.64 (((~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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5061,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.99/3.64 inference(monotonicity,[status(thm)],[5060])).
% 4.99/3.64 tff(5062,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.64 inference(transitivity,[status(thm)],[5061, 5059])).
% 4.99/3.64 tff(5063,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5064,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 4.99/3.64 tff(5065,plain,
% 4.99/3.64 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5064, 478, 5058])).
% 4.99/3.64 tff(5066,plain,
% 4.99/3.64 (m_main_v_state1(s59, c_n1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5065, 5047, 5002, 5039, 5035, 5027, 5010])).
% 4.99/3.64 tff(5067,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5068,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5069,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 4.99/3.64 tff(5070,plain,
% 4.99/3.64 (~node15(s57)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5069, 21, 4979])).
% 4.99/3.64 tff(5071,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5072,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5073,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 4.99/3.64 tff(5074,plain,
% 4.99/3.64 (node18(s57, s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5073, 71, 4990])).
% 4.99/3.64 tff(5075,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5076,plain,
% 4.99/3.64 (((~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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5077,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.99/3.64 inference(monotonicity,[status(thm)],[5076])).
% 4.99/3.64 tff(5078,plain,
% 4.99/3.64 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.64 inference(transitivity,[status(thm)],[5077, 5075])).
% 4.99/3.64 tff(5079,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5080,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 4.99/3.64 tff(5081,plain,
% 4.99/3.64 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5080, 863, 5074])).
% 4.99/3.64 tff(5082,plain,
% 4.99/3.64 (m_main_v_turn(s58, c_1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5081, 5070, 4907, 4975])).
% 4.99/3.64 tff(5083,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5084,plain,
% 4.99/3.64 ((~![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)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5085,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 4.99/3.64 tff(5086,plain,
% 4.99/3.64 (~m_main_v_turn(s58, c_2)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5085, 322, 5082])).
% 4.99/3.64 tff(5087,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5088,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5089,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 4.99/3.64 tff(5090,plain,
% 4.99/3.64 (~node12(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5089, 350, 5086])).
% 4.99/3.64 tff(5091,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5092,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5093,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 4.99/3.64 tff(5094,plain,
% 4.99/3.64 (~node8(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5093, 383, 5023])).
% 4.99/3.64 tff(5095,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5096,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5097,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 4.99/3.64 tff(5098,plain,
% 4.99/3.64 (~node9(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5097, 311, 5023])).
% 4.99/3.64 tff(5099,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5100,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5101,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 4.99/3.64 tff(5102,plain,
% 4.99/3.64 (~node10(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5101, 372, 5023])).
% 4.99/3.64 tff(5103,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5104,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5105,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 4.99/3.64 tff(5106,plain,
% 4.99/3.64 (~node11(s58)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5105, 361, 5043])).
% 4.99/3.64 tff(5107,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5108,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5109,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 4.99/3.64 tff(5110,plain,
% 4.99/3.64 (node14(s58, s59)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5109, 130, 5054])).
% 4.99/3.64 tff(5111,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5112,plain,
% 4.99/3.64 ((~![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)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5113,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 4.99/3.64 tff(5114,plain,
% 4.99/3.64 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5113, 401, 5110])).
% 4.99/3.64 tff(5115,plain,
% 4.99/3.64 (node13(s58, s59)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5114, 5106, 5031, 5102, 5098, 5094, 5090])).
% 4.99/3.64 tff(5116,plain,
% 4.99/3.64 (((~![V: $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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5117,plain,
% 4.99/3.64 (((~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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5118,plain,
% 4.99/3.64 (((~![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))))),
% 4.99/3.64 inference(monotonicity,[status(thm)],[5117])).
% 4.99/3.64 tff(5119,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(transitivity,[status(thm)],[5118, 5116])).
% 4.99/3.64 tff(5120,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5121,plain,
% 4.99/3.64 ((~![V: $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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 4.99/3.64 tff(5122,plain,
% 4.99/3.64 (m_main_v_state2(s59, c_t2)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5121, 563, 5019, 5115])).
% 4.99/3.64 tff(5123,plain,
% 4.99/3.64 (succ(s59, s60) <=> succ(s59, s60)),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5124,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 4.99/3.64 tff(5125,plain,
% 4.99/3.64 (succ(s59, s60)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 4.99/3.64 tff(5126,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5127,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5128,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 4.99/3.64 tff(5129,plain,
% 4.99/3.64 (trans(s59, s60)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5128, 5125, 57])).
% 4.99/3.64 tff(5130,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5131,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5132,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 4.99/3.64 tff(5133,plain,
% 4.99/3.64 (node7(s59, s60)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5132, 217, 5129])).
% 4.99/3.64 tff(5134,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5135,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5136,plain,
% 4.99/3.64 ((~![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)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 4.99/3.64 tff(5137,plain,
% 4.99/3.64 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5136, 598, 5133])).
% 4.99/3.64 tff(5138,plain,
% 4.99/3.64 (m_main_v_state1(s60, c_t1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5137, 5122, 5066])).
% 4.99/3.64 tff(5139,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5140,plain,
% 4.99/3.64 ((~![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)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5141,plain,
% 4.99/3.64 ((~![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))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 4.99/3.64 tff(5142,plain,
% 4.99/3.64 (~m_main_v_state1(s60, c_n1)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5141, 35, 5138])).
% 4.99/3.64 tff(5143,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5144,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5145,plain,
% 4.99/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 4.99/3.64 tff(5146,plain,
% 4.99/3.64 (~node1(s60)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5145, 249, 5142])).
% 4.99/3.64 tff(5147,plain,
% 4.99/3.64 (((~![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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5148,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5149,plain,
% 4.99/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 4.99/3.64 tff(5150,plain,
% 4.99/3.64 (node18(s59, s60)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5149, 71, 5129])).
% 4.99/3.64 tff(5151,plain,
% 4.99/3.64 (((~![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(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))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(5152,plain,
% 4.99/3.64 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(5153,plain,
% 4.99/3.64 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 4.99/3.64 tff(5154,plain,
% 4.99/3.64 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5153, 625, 5150])).
% 4.99/3.64 tff(5155,plain,
% 4.99/3.64 (m_main_v_turn(s60, c_2)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[5154, 5122, 5066])).
% 4.99/3.64 tff(5156,plain,
% 4.99/3.64 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5157,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5158,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 4.99/3.65 tff(5159,plain,
% 4.99/3.65 (~m_main_v_turn(s60, c_1)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5158, 322, 5155])).
% 4.99/3.65 tff(5160,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5161,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5162,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 4.99/3.65 tff(5163,plain,
% 4.99/3.65 (~node5(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5162, 641, 5159])).
% 4.99/3.65 tff(5164,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5165,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5166,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 4.99/3.65 tff(5167,plain,
% 4.99/3.65 (~node2(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5166, 652, 5142])).
% 4.99/3.65 tff(5168,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5169,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5170,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 4.99/3.65 tff(5171,plain,
% 4.99/3.65 (~node3(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5170, 663, 5142])).
% 4.99/3.65 tff(5172,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5173,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5174,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 4.99/3.65 tff(5175,plain,
% 4.99/3.65 (~m_main_v_state1(s60, c_c1)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5174, 289, 5138])).
% 4.99/3.65 tff(5176,plain,
% 4.99/3.65 (((~![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(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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5177,plain,
% 4.99/3.65 (((~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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5178,plain,
% 4.99/3.65 (((~![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))))),
% 4.99/3.65 inference(monotonicity,[status(thm)],[5177])).
% 4.99/3.65 tff(5179,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(transitivity,[status(thm)],[5178, 5176])).
% 4.99/3.65 tff(5180,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5181,plain,
% 4.99/3.65 ((~![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(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 4.99/3.65 tff(5182,plain,
% 4.99/3.65 (~m_main_v_state2(s59, c_n2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5181, 416, 5023, 5115])).
% 4.99/3.65 tff(5183,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5184,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5185,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 4.99/3.65 tff(5186,plain,
% 4.99/3.65 (~node9(s59)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5185, 311, 5182])).
% 4.99/3.65 tff(5187,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5188,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5189,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 4.99/3.65 tff(5190,plain,
% 4.99/3.65 (~node10(s59)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5189, 372, 5182])).
% 4.99/3.65 tff(5191,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5192,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5193,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 4.99/3.65 tff(5194,plain,
% 4.99/3.65 (~node8(s59)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5193, 383, 5182])).
% 4.99/3.65 tff(5195,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5196,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5197,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 4.99/3.65 tff(5198,plain,
% 4.99/3.65 (node14(s59, s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5197, 130, 5129])).
% 4.99/3.65 tff(5199,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5200,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5201,plain,
% 4.99/3.65 ((~![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)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 4.99/3.65 tff(5202,plain,
% 4.99/3.65 ((~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)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5201, 704, 5198])).
% 4.99/3.65 tff(5203,plain,
% 4.99/3.65 (m_main_v_state2(s60, c_c2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5202, 5194, 5066, 5122, 5190, 5186])).
% 4.99/3.65 tff(5204,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5205,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5206,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 4.99/3.65 tff(5207,plain,
% 4.99/3.65 (~m_main_v_state2(s60, c_n2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5206, 716, 5203])).
% 4.99/3.65 tff(5208,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5209,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5210,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 4.99/3.65 tff(5211,plain,
% 4.99/3.65 (~node4(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5210, 162, 5207])).
% 4.99/3.65 tff(5212,plain,
% 4.99/3.65 (succ(s60, s61) <=> succ(s60, s61)),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5213,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 4.99/3.65 tff(5214,plain,
% 4.99/3.65 (succ(s60, s61)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 4.99/3.65 tff(5215,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5216,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5217,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 4.99/3.65 tff(5218,plain,
% 4.99/3.65 (trans(s60, s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5217, 5214, 57])).
% 4.99/3.65 tff(5219,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5220,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5221,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 4.99/3.65 tff(5222,plain,
% 4.99/3.65 (node7(s60, s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5221, 217, 5218])).
% 4.99/3.65 tff(5223,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5224,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5225,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 4.99/3.65 tff(5226,plain,
% 4.99/3.65 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5225, 745, 5222])).
% 4.99/3.65 tff(5227,plain,
% 4.99/3.65 (node6(s60, s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5226, 5211, 5175, 5171, 5167, 5163, 5146])).
% 4.99/3.65 tff(5228,plain,
% 4.99/3.65 (((~![V: $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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5229,plain,
% 4.99/3.65 (((~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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5230,plain,
% 4.99/3.65 (((~![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))))),
% 4.99/3.65 inference(monotonicity,[status(thm)],[5229])).
% 4.99/3.65 tff(5231,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(transitivity,[status(thm)],[5230, 5228])).
% 4.99/3.65 tff(5232,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5233,plain,
% 4.99/3.65 ((~![V: $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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 4.99/3.65 tff(5234,plain,
% 4.99/3.65 (m_main_v_state1(s61, c_t1)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5233, 760, 5138, 5227])).
% 4.99/3.65 tff(5235,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5236,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5237,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 4.99/3.65 tff(5238,plain,
% 4.99/3.65 (~m_main_v_state2(s60, c_t2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5237, 173, 5203])).
% 4.99/3.65 tff(5239,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5240,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5241,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 4.99/3.65 tff(5242,plain,
% 4.99/3.65 (~node12(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5241, 778, 5238])).
% 4.99/3.65 tff(5243,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5244,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5245,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 4.99/3.65 tff(5246,plain,
% 4.99/3.65 (~node11(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5245, 361, 5142])).
% 4.99/3.65 tff(5247,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5248,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5249,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 4.99/3.65 tff(5250,plain,
% 4.99/3.65 (~node10(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5249, 793, 5175])).
% 4.99/3.65 tff(5251,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5252,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5253,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 4.99/3.65 tff(5254,plain,
% 4.99/3.65 (~node9(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5253, 804, 5142])).
% 4.99/3.65 tff(5255,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5256,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5257,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 4.99/3.65 tff(5258,plain,
% 4.99/3.65 (~node8(s60)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5257, 383, 5207])).
% 4.99/3.65 tff(5259,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5260,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5261,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 4.99/3.65 tff(5262,plain,
% 4.99/3.65 (node14(s60, s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5261, 130, 5218])).
% 4.99/3.65 tff(5263,plain,
% 4.99/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5264,plain,
% 4.99/3.65 (((~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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5265,plain,
% 4.99/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.99/3.65 inference(monotonicity,[status(thm)],[5264])).
% 4.99/3.65 tff(5266,plain,
% 4.99/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.65 inference(transitivity,[status(thm)],[5265, 5263])).
% 4.99/3.65 tff(5267,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5268,plain,
% 4.99/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 4.99/3.65 tff(5269,plain,
% 4.99/3.65 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5268, 826, 5262])).
% 4.99/3.65 tff(5270,plain,
% 4.99/3.65 (m_main_v_state2(s61, c_n2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5269, 5258, 5203, 5254, 5250, 5246, 5242])).
% 4.99/3.65 tff(5271,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5272,plain,
% 4.99/3.65 ((~![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)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5273,plain,
% 4.99/3.65 ((~![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))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 4.99/3.65 tff(5274,plain,
% 4.99/3.65 (~m_main_v_state2(s61, c_t2)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5273, 10, 5270])).
% 4.99/3.65 tff(5275,plain,
% 4.99/3.65 (((~![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)))),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5276,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 4.99/3.65 inference(quant_inst,[status(thm)],[])).
% 4.99/3.65 tff(5277,plain,
% 4.99/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 4.99/3.65 tff(5278,plain,
% 4.99/3.65 (~node15(s61)),
% 4.99/3.65 inference(unit_resolution,[status(thm)],[5277, 21, 5274])).
% 4.99/3.65 tff(5279,plain,
% 4.99/3.65 (succ(s61, s62) <=> succ(s61, s62)),
% 4.99/3.65 inference(rewrite,[status(thm)],[])).
% 4.99/3.65 tff(5280,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 4.99/3.65 tff(5281,plain,
% 4.99/3.65 (succ(s61, s62)),
% 4.99/3.65 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 4.99/3.65 tff(5282,plain,
% 4.99/3.65 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5283,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5284,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 4.99/3.66 tff(5285,plain,
% 4.99/3.66 (trans(s61, s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5284, 5281, 57])).
% 4.99/3.66 tff(5286,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5287,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5288,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 4.99/3.66 tff(5289,plain,
% 4.99/3.66 (node18(s61, s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5288, 71, 5285])).
% 4.99/3.66 tff(5290,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5291,plain,
% 4.99/3.66 (((~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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5292,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.99/3.66 inference(monotonicity,[status(thm)],[5291])).
% 4.99/3.66 tff(5293,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.66 inference(transitivity,[status(thm)],[5292, 5290])).
% 4.99/3.66 tff(5294,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5295,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 4.99/3.66 tff(5296,plain,
% 4.99/3.66 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5295, 863, 5289])).
% 4.99/3.66 tff(5297,plain,
% 4.99/3.66 (m_main_v_turn(s62, c_1)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5296, 5278, 5270, 5234])).
% 4.99/3.66 tff(5298,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5299,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5300,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 4.99/3.66 tff(5301,plain,
% 4.99/3.66 (~m_main_v_turn(s62, c_2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5300, 322, 5297])).
% 4.99/3.66 tff(5302,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5303,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5304,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 4.99/3.66 tff(5305,plain,
% 4.99/3.66 (~node12(s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5304, 350, 5301])).
% 4.99/3.66 tff(5306,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5307,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5308,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 4.99/3.66 tff(5309,plain,
% 4.99/3.66 (node14(s61, s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5308, 130, 5285])).
% 4.99/3.66 tff(5310,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5311,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5312,plain,
% 4.99/3.66 ((~![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)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 4.99/3.66 tff(5313,plain,
% 4.99/3.66 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5312, 893, 5309])).
% 4.99/3.66 tff(5314,plain,
% 4.99/3.66 (m_main_v_state2(s62, c_t2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5313, 5234, 5270])).
% 4.99/3.66 tff(5315,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5316,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5317,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 4.99/3.66 tff(5318,plain,
% 4.99/3.66 (~m_main_v_state2(s62, c_n2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5317, 10, 5314])).
% 4.99/3.66 tff(5319,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5320,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5321,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 4.99/3.66 tff(5322,plain,
% 4.99/3.66 (~node8(s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5321, 383, 5318])).
% 4.99/3.66 tff(5323,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5324,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5325,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 4.99/3.66 tff(5326,plain,
% 4.99/3.66 (~node9(s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5325, 311, 5318])).
% 4.99/3.66 tff(5327,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5328,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5329,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 4.99/3.66 tff(5330,plain,
% 4.99/3.66 (~node10(s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5329, 372, 5318])).
% 4.99/3.66 tff(5331,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5332,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5333,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 4.99/3.66 tff(5334,plain,
% 4.99/3.66 (~m_main_v_state2(s62, c_c2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5333, 173, 5314])).
% 4.99/3.66 tff(5335,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5336,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5337,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 4.99/3.66 tff(5338,plain,
% 4.99/3.66 (~m_main_v_state2(s61, c_c2)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5337, 716, 5270])).
% 4.99/3.66 tff(5339,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5340,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5341,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 4.99/3.66 tff(5342,plain,
% 4.99/3.66 (~node3(s61)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5341, 184, 5338])).
% 4.99/3.66 tff(5343,plain,
% 4.99/3.66 (((~![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(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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5344,plain,
% 4.99/3.66 (((~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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5345,plain,
% 4.99/3.66 (((~![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))))),
% 4.99/3.66 inference(monotonicity,[status(thm)],[5344])).
% 4.99/3.66 tff(5346,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(transitivity,[status(thm)],[5345, 5343])).
% 4.99/3.66 tff(5347,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5348,plain,
% 4.99/3.66 ((~![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(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 4.99/3.66 tff(5349,plain,
% 4.99/3.66 (~m_main_v_state1(s61, c_n1)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5348, 936, 5142, 5227])).
% 4.99/3.66 tff(5350,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5351,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5352,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 4.99/3.66 tff(5353,plain,
% 4.99/3.66 (~node2(s61)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5352, 652, 5349])).
% 4.99/3.66 tff(5354,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5355,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5356,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 4.99/3.66 tff(5357,plain,
% 4.99/3.66 (~node1(s61)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5356, 206, 5274])).
% 4.99/3.66 tff(5358,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5359,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5360,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 4.99/3.66 tff(5361,plain,
% 4.99/3.66 (node7(s61, s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5360, 217, 5285])).
% 4.99/3.66 tff(5362,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5363,plain,
% 4.99/3.66 (((~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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5364,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 4.99/3.66 inference(monotonicity,[status(thm)],[5363])).
% 4.99/3.66 tff(5365,plain,
% 4.99/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 4.99/3.66 inference(transitivity,[status(thm)],[5364, 5362])).
% 4.99/3.66 tff(5366,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5367,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 4.99/3.66 tff(5368,plain,
% 4.99/3.66 ((~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)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5367, 965, 5361])).
% 4.99/3.66 tff(5369,plain,
% 4.99/3.66 (m_main_v_state1(s62, c_c1)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5368, 5357, 5270, 5234, 5353, 5342])).
% 4.99/3.66 tff(5370,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5371,plain,
% 4.99/3.66 ((~![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)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5372,plain,
% 4.99/3.66 ((~![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))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 4.99/3.66 tff(5373,plain,
% 4.99/3.66 (~m_main_v_state1(s62, c_n1)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5372, 449, 5369])).
% 4.99/3.66 tff(5374,plain,
% 4.99/3.66 (((~![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)))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5375,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5376,plain,
% 4.99/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 4.99/3.66 tff(5377,plain,
% 4.99/3.66 (~node11(s62)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5376, 361, 5373])).
% 4.99/3.66 tff(5378,plain,
% 4.99/3.66 (succ(s62, s63) <=> succ(s62, s63)),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5379,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 4.99/3.66 tff(5380,plain,
% 4.99/3.66 (succ(s62, s63)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 4.99/3.66 tff(5381,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5382,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.66 tff(5383,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 4.99/3.66 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 4.99/3.66 tff(5384,plain,
% 4.99/3.66 (trans(s62, s63)),
% 4.99/3.66 inference(unit_resolution,[status(thm)],[5383, 5380, 57])).
% 4.99/3.66 tff(5385,plain,
% 4.99/3.66 (((~![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))),
% 4.99/3.66 inference(rewrite,[status(thm)],[])).
% 4.99/3.66 tff(5386,plain,
% 4.99/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 4.99/3.66 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5387,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 4.99/3.67 tff(5388,plain,
% 4.99/3.67 (node14(s62, s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5387, 130, 5384])).
% 4.99/3.67 tff(5389,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5390,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5391,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 4.99/3.67 tff(5392,plain,
% 4.99/3.67 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5391, 401, 5388])).
% 4.99/3.67 tff(5393,plain,
% 4.99/3.67 (node13(s62, s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5392, 5377, 5334, 5330, 5326, 5322, 5305])).
% 4.99/3.67 tff(5394,plain,
% 4.99/3.67 (((~![V: $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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5395,plain,
% 4.99/3.67 (((~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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5396,plain,
% 4.99/3.67 (((~![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))))),
% 4.99/3.67 inference(monotonicity,[status(thm)],[5395])).
% 4.99/3.67 tff(5397,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(transitivity,[status(thm)],[5396, 5394])).
% 4.99/3.67 tff(5398,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5399,plain,
% 4.99/3.67 ((~![V: $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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 4.99/3.67 tff(5400,plain,
% 4.99/3.67 (~m_main_v_state2(s63, c_n2)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5399, 416, 5318, 5393])).
% 4.99/3.67 tff(5401,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5402,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5403,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 4.99/3.67 tff(5404,plain,
% 4.99/3.67 (~node9(s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5403, 311, 5400])).
% 4.99/3.67 tff(5405,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5406,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5407,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 4.99/3.67 tff(5408,plain,
% 4.99/3.67 (~node10(s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5407, 372, 5400])).
% 4.99/3.67 tff(5409,plain,
% 4.99/3.67 (((~![V: $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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5410,plain,
% 4.99/3.67 (((~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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5411,plain,
% 4.99/3.67 (((~![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))))),
% 4.99/3.67 inference(monotonicity,[status(thm)],[5410])).
% 4.99/3.67 tff(5412,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(transitivity,[status(thm)],[5411, 5409])).
% 4.99/3.67 tff(5413,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5414,plain,
% 4.99/3.67 ((~![V: $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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 4.99/3.67 tff(5415,plain,
% 4.99/3.67 (m_main_v_state2(s63, c_t2)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5414, 563, 5314, 5393])).
% 4.99/3.67 tff(5416,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5417,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5418,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 4.99/3.67 tff(5419,plain,
% 4.99/3.67 (~m_main_v_state1(s62, c_t1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5418, 289, 5369])).
% 4.99/3.67 tff(5420,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5421,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5422,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 4.99/3.67 tff(5423,plain,
% 4.99/3.67 (~node5(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5422, 300, 5419])).
% 4.99/3.67 tff(5424,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5425,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5426,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 4.99/3.67 tff(5427,plain,
% 4.99/3.67 (~node4(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5426, 162, 5318])).
% 4.99/3.67 tff(5428,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5429,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5430,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5429, 5428])).
% 4.99/3.67 tff(5431,plain,
% 4.99/3.67 (~node3(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5430, 184, 5334])).
% 4.99/3.67 tff(5432,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5433,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5434,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 4.99/3.67 tff(5435,plain,
% 4.99/3.67 (~node2(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5434, 195, 5318])).
% 4.99/3.67 tff(5436,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5437,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5438,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 4.99/3.67 tff(5439,plain,
% 4.99/3.67 (~node1(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5438, 249, 5373])).
% 4.99/3.67 tff(5440,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5441,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5442,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 4.99/3.67 tff(5443,plain,
% 4.99/3.67 (node7(s62, s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5442, 217, 5384])).
% 4.99/3.67 tff(5444,plain,
% 4.99/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5445,plain,
% 4.99/3.67 (((~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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5446,plain,
% 4.99/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.99/3.67 inference(monotonicity,[status(thm)],[5445])).
% 4.99/3.67 tff(5447,plain,
% 4.99/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.67 inference(transitivity,[status(thm)],[5446, 5444])).
% 4.99/3.67 tff(5448,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5449,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 4.99/3.67 tff(5450,plain,
% 4.99/3.67 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5449, 478, 5443])).
% 4.99/3.67 tff(5451,plain,
% 4.99/3.67 (m_main_v_state1(s63, c_n1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5450, 5439, 5369, 5435, 5431, 5427, 5423])).
% 4.99/3.67 tff(5452,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5453,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5454,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 4.99/3.67 tff(5455,plain,
% 4.99/3.67 (~node8(s63)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5454, 383, 5400])).
% 4.99/3.67 tff(5456,plain,
% 4.99/3.67 (succ(s63, s64) <=> succ(s63, s64)),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5457,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 4.99/3.67 tff(5458,plain,
% 4.99/3.67 (succ(s63, s64)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 4.99/3.67 tff(5459,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5460,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5461,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 4.99/3.67 tff(5462,plain,
% 4.99/3.67 (trans(s63, s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5461, 5458, 57])).
% 4.99/3.67 tff(5463,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5464,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5465,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 4.99/3.67 tff(5466,plain,
% 4.99/3.67 (node14(s63, s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5465, 130, 5462])).
% 4.99/3.67 tff(5467,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5468,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5469,plain,
% 4.99/3.67 ((~![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)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 4.99/3.67 tff(5470,plain,
% 4.99/3.67 ((~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)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5469, 704, 5466])).
% 4.99/3.67 tff(5471,plain,
% 4.99/3.67 (m_main_v_state2(s64, c_c2)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5470, 5455, 5451, 5415, 5408, 5404])).
% 4.99/3.67 tff(5472,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5473,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5474,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 4.99/3.67 tff(5475,plain,
% 4.99/3.67 (~m_main_v_state2(s64, c_t2)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5474, 173, 5471])).
% 4.99/3.67 tff(5476,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5477,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5478,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 4.99/3.67 tff(5479,plain,
% 4.99/3.67 (~node12(s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5478, 778, 5475])).
% 4.99/3.67 tff(5480,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5481,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5482,plain,
% 4.99/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 4.99/3.67 tff(5483,plain,
% 4.99/3.67 (node7(s63, s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5482, 217, 5462])).
% 4.99/3.67 tff(5484,plain,
% 4.99/3.67 (((~![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))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5485,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5486,plain,
% 4.99/3.67 ((~![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)),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5485, 5484])).
% 4.99/3.67 tff(5487,plain,
% 4.99/3.67 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5486, 598, 5483])).
% 4.99/3.67 tff(5488,plain,
% 4.99/3.67 (m_main_v_state1(s64, c_t1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5487, 5415, 5451])).
% 4.99/3.67 tff(5489,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5490,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5491,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 4.99/3.67 tff(5492,plain,
% 4.99/3.67 (~m_main_v_state1(s64, c_n1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5491, 35, 5488])).
% 4.99/3.67 tff(5493,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5494,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5495,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 4.99/3.67 tff(5496,plain,
% 4.99/3.67 (~node11(s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5495, 361, 5492])).
% 4.99/3.67 tff(5497,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5498,plain,
% 4.99/3.67 ((~![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)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5499,plain,
% 4.99/3.67 ((~![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))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 4.99/3.67 tff(5500,plain,
% 4.99/3.67 (~m_main_v_state1(s64, c_c1)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5499, 289, 5488])).
% 4.99/3.67 tff(5501,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5502,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5503,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 4.99/3.67 tff(5504,plain,
% 4.99/3.67 (~node10(s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5503, 793, 5500])).
% 4.99/3.67 tff(5505,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.67 inference(rewrite,[status(thm)],[])).
% 4.99/3.67 tff(5506,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 4.99/3.67 inference(quant_inst,[status(thm)],[])).
% 4.99/3.67 tff(5507,plain,
% 4.99/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 4.99/3.67 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 4.99/3.67 tff(5508,plain,
% 4.99/3.67 (~node9(s64)),
% 4.99/3.67 inference(unit_resolution,[status(thm)],[5507, 804, 5492])).
% 4.99/3.67 tff(5509,plain,
% 4.99/3.67 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5510,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5511,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 4.99/3.68 tff(5512,plain,
% 4.99/3.68 (~m_main_v_state2(s64, c_n2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5511, 716, 5471])).
% 4.99/3.68 tff(5513,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5514,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5515,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 4.99/3.68 tff(5516,plain,
% 4.99/3.68 (~node8(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5515, 383, 5512])).
% 4.99/3.68 tff(5517,plain,
% 4.99/3.68 (succ(s64, s65) <=> succ(s64, s65)),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5518,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 4.99/3.68 tff(5519,plain,
% 4.99/3.68 (succ(s64, s65)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 4.99/3.68 tff(5520,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5521,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5522,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 4.99/3.68 tff(5523,plain,
% 4.99/3.68 (trans(s64, s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5522, 5519, 57])).
% 4.99/3.68 tff(5524,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5525,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5526,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 4.99/3.68 tff(5527,plain,
% 4.99/3.68 (node14(s64, s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5526, 130, 5523])).
% 4.99/3.68 tff(5528,plain,
% 4.99/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5529,plain,
% 4.99/3.68 (((~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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5530,plain,
% 4.99/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.99/3.68 inference(monotonicity,[status(thm)],[5529])).
% 4.99/3.68 tff(5531,plain,
% 4.99/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.68 inference(transitivity,[status(thm)],[5530, 5528])).
% 4.99/3.68 tff(5532,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5533,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 4.99/3.68 tff(5534,plain,
% 4.99/3.68 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5533, 826, 5527])).
% 4.99/3.68 tff(5535,plain,
% 4.99/3.68 (m_main_v_state2(s65, c_n2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5534, 5516, 5471, 5508, 5504, 5496, 5479])).
% 4.99/3.68 tff(5536,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5537,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5538,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 4.99/3.68 tff(5539,plain,
% 4.99/3.68 (~m_main_v_state2(s65, c_c2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5538, 716, 5535])).
% 4.99/3.68 tff(5540,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5541,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5542,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 4.99/3.68 tff(5543,plain,
% 4.99/3.68 (~node3(s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5542, 184, 5539])).
% 4.99/3.68 tff(5544,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5545,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5546,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 4.99/3.68 tff(5547,plain,
% 4.99/3.68 (~node1(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5546, 249, 5492])).
% 4.99/3.68 tff(5548,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5549,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5550,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 4.99/3.68 tff(5551,plain,
% 4.99/3.68 (node18(s63, s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5550, 71, 5462])).
% 4.99/3.68 tff(5552,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5553,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5554,plain,
% 4.99/3.68 ((~![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)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 4.99/3.68 tff(5555,plain,
% 4.99/3.68 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5554, 625, 5551])).
% 4.99/3.68 tff(5556,plain,
% 4.99/3.68 (m_main_v_turn(s64, c_2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5555, 5415, 5451])).
% 4.99/3.68 tff(5557,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5558,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5559,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 4.99/3.68 tff(5560,plain,
% 4.99/3.68 (~m_main_v_turn(s64, c_1)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5559, 322, 5556])).
% 4.99/3.68 tff(5561,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5562,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5563,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 4.99/3.68 tff(5564,plain,
% 4.99/3.68 (~node5(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5563, 641, 5560])).
% 4.99/3.68 tff(5565,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5566,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5567,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 4.99/3.68 tff(5568,plain,
% 4.99/3.68 (~node2(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5567, 652, 5492])).
% 4.99/3.68 tff(5569,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5570,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5571,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 4.99/3.68 tff(5572,plain,
% 4.99/3.68 (~node3(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5571, 663, 5492])).
% 4.99/3.68 tff(5573,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5574,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5575,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 4.99/3.68 tff(5576,plain,
% 4.99/3.68 (~node4(s64)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5575, 162, 5512])).
% 4.99/3.68 tff(5577,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5578,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5579,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 4.99/3.68 tff(5580,plain,
% 4.99/3.68 (node7(s64, s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5579, 217, 5523])).
% 4.99/3.68 tff(5581,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5582,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5583,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 4.99/3.68 tff(5584,plain,
% 4.99/3.68 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5583, 745, 5580])).
% 4.99/3.68 tff(5585,plain,
% 4.99/3.68 (node6(s64, s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5584, 5576, 5500, 5572, 5568, 5564, 5547])).
% 4.99/3.68 tff(5586,plain,
% 4.99/3.68 (((~![V: $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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5587,plain,
% 4.99/3.68 (((~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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5588,plain,
% 4.99/3.68 (((~![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))))),
% 4.99/3.68 inference(monotonicity,[status(thm)],[5587])).
% 4.99/3.68 tff(5589,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(transitivity,[status(thm)],[5588, 5586])).
% 4.99/3.68 tff(5590,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5591,plain,
% 4.99/3.68 ((~![V: $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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 4.99/3.68 tff(5592,plain,
% 4.99/3.68 (~m_main_v_state1(s65, c_n1)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5591, 936, 5492, 5585])).
% 4.99/3.68 tff(5593,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5594,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5595,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 4.99/3.68 tff(5596,plain,
% 4.99/3.68 (~node2(s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5595, 652, 5592])).
% 4.99/3.68 tff(5597,plain,
% 4.99/3.68 (((~![V: $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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5598,plain,
% 4.99/3.68 (((~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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5599,plain,
% 4.99/3.68 (((~![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))))),
% 4.99/3.68 inference(monotonicity,[status(thm)],[5598])).
% 4.99/3.68 tff(5600,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(transitivity,[status(thm)],[5599, 5597])).
% 4.99/3.68 tff(5601,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5602,plain,
% 4.99/3.68 ((~![V: $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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 4.99/3.68 tff(5603,plain,
% 4.99/3.68 (m_main_v_state1(s65, c_t1)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5602, 760, 5488, 5585])).
% 4.99/3.68 tff(5604,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5605,plain,
% 4.99/3.68 ((~![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)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5606,plain,
% 4.99/3.68 ((~![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))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 4.99/3.68 tff(5607,plain,
% 4.99/3.68 (~m_main_v_state2(s65, c_t2)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5606, 10, 5535])).
% 4.99/3.68 tff(5608,plain,
% 4.99/3.68 (((~![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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5609,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5610,plain,
% 4.99/3.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 4.99/3.68 tff(5611,plain,
% 4.99/3.68 (~node1(s65)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5610, 206, 5607])).
% 4.99/3.68 tff(5612,plain,
% 4.99/3.68 (succ(s65, s66) <=> succ(s65, s66)),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5613,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 4.99/3.68 tff(5614,plain,
% 4.99/3.68 (succ(s65, s66)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 4.99/3.68 tff(5615,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5616,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5617,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 4.99/3.68 tff(5618,plain,
% 4.99/3.68 (trans(s65, s66)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5617, 5614, 57])).
% 4.99/3.68 tff(5619,plain,
% 4.99/3.68 (((~![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))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5620,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5621,plain,
% 4.99/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 4.99/3.68 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 4.99/3.68 tff(5622,plain,
% 4.99/3.68 (node7(s65, s66)),
% 4.99/3.68 inference(unit_resolution,[status(thm)],[5621, 217, 5618])).
% 4.99/3.68 tff(5623,plain,
% 4.99/3.68 (((~![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(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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5624,plain,
% 4.99/3.68 (((~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)))),
% 4.99/3.68 inference(rewrite,[status(thm)],[])).
% 4.99/3.68 tff(5625,plain,
% 4.99/3.68 (((~![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(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))))),
% 4.99/3.68 inference(monotonicity,[status(thm)],[5624])).
% 4.99/3.68 tff(5626,plain,
% 4.99/3.68 (((~![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(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)))),
% 4.99/3.68 inference(transitivity,[status(thm)],[5625, 5623])).
% 4.99/3.68 tff(5627,plain,
% 4.99/3.68 ((~![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(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))),
% 4.99/3.68 inference(quant_inst,[status(thm)],[])).
% 4.99/3.68 tff(5628,plain,
% 4.99/3.68 ((~![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(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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 4.99/3.69 tff(5629,plain,
% 4.99/3.69 ((~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)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5628, 965, 5622])).
% 4.99/3.69 tff(5630,plain,
% 4.99/3.69 (m_main_v_state1(s66, c_c1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5629, 5611, 5535, 5603, 5596, 5543])).
% 4.99/3.69 tff(5631,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5632,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5633,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5632, 5631])).
% 4.99/3.69 tff(5634,plain,
% 4.99/3.69 (~m_main_v_state1(s66, c_t1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5633, 289, 5630])).
% 4.99/3.69 tff(5635,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5636,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5637,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 4.99/3.69 tff(5638,plain,
% 4.99/3.69 (~node5(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5637, 300, 5634])).
% 4.99/3.69 tff(5639,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5640,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5641,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 4.99/3.69 tff(5642,plain,
% 4.99/3.69 (node14(s65, s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5641, 130, 5618])).
% 4.99/3.69 tff(5643,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5644,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5645,plain,
% 4.99/3.69 ((~![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)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 4.99/3.69 tff(5646,plain,
% 4.99/3.69 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5645, 893, 5642])).
% 4.99/3.69 tff(5647,plain,
% 4.99/3.69 (m_main_v_state2(s66, c_t2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5646, 5603, 5535])).
% 4.99/3.69 tff(5648,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5649,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5650,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 4.99/3.69 tff(5651,plain,
% 4.99/3.69 (~m_main_v_state2(s66, c_n2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5650, 10, 5647])).
% 4.99/3.69 tff(5652,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5653,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5654,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 4.99/3.69 tff(5655,plain,
% 4.99/3.69 (~node4(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5654, 162, 5651])).
% 4.99/3.69 tff(5656,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5657,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5658,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5657, 5656])).
% 4.99/3.69 tff(5659,plain,
% 4.99/3.69 (~m_main_v_state2(s66, c_c2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5658, 173, 5647])).
% 4.99/3.69 tff(5660,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5661,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5662,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 4.99/3.69 tff(5663,plain,
% 4.99/3.69 (~node3(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5662, 184, 5659])).
% 4.99/3.69 tff(5664,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5665,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5666,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 4.99/3.69 tff(5667,plain,
% 4.99/3.69 (~node2(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5666, 195, 5651])).
% 4.99/3.69 tff(5668,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5669,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5670,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 4.99/3.69 tff(5671,plain,
% 4.99/3.69 (~m_main_v_state1(s66, c_n1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5670, 449, 5630])).
% 4.99/3.69 tff(5672,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5673,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5674,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 4.99/3.69 tff(5675,plain,
% 4.99/3.69 (~node1(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5674, 249, 5671])).
% 4.99/3.69 tff(5676,plain,
% 4.99/3.69 (succ(s66, s67) <=> succ(s66, s67)),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5677,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 4.99/3.69 tff(5678,plain,
% 4.99/3.69 (succ(s66, s67)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 4.99/3.69 tff(5679,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5680,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5681,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 4.99/3.69 tff(5682,plain,
% 4.99/3.69 (trans(s66, s67)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5681, 5678, 57])).
% 4.99/3.69 tff(5683,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5684,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5685,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 4.99/3.69 tff(5686,plain,
% 4.99/3.69 (node7(s66, s67)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5685, 217, 5682])).
% 4.99/3.69 tff(5687,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5688,plain,
% 4.99/3.69 (((~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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5689,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 4.99/3.69 inference(monotonicity,[status(thm)],[5688])).
% 4.99/3.69 tff(5690,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 4.99/3.69 inference(transitivity,[status(thm)],[5689, 5687])).
% 4.99/3.69 tff(5691,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5692,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 4.99/3.69 tff(5693,plain,
% 4.99/3.69 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5692, 478, 5686])).
% 4.99/3.69 tff(5694,plain,
% 4.99/3.69 (m_main_v_state1(s67, c_n1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5693, 5675, 5630, 5667, 5663, 5655, 5638])).
% 4.99/3.69 tff(5695,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5696,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5697,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 4.99/3.69 tff(5698,plain,
% 4.99/3.69 (~node15(s65)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5697, 21, 5607])).
% 4.99/3.69 tff(5699,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5700,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5701,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 4.99/3.69 tff(5702,plain,
% 4.99/3.69 (node18(s65, s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5701, 71, 5618])).
% 4.99/3.69 tff(5703,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5704,plain,
% 4.99/3.69 (((~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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5705,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 4.99/3.69 inference(monotonicity,[status(thm)],[5704])).
% 4.99/3.69 tff(5706,plain,
% 4.99/3.69 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.69 inference(transitivity,[status(thm)],[5705, 5703])).
% 4.99/3.69 tff(5707,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5708,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 4.99/3.69 tff(5709,plain,
% 4.99/3.69 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5708, 863, 5702])).
% 4.99/3.69 tff(5710,plain,
% 4.99/3.69 (m_main_v_turn(s66, c_1)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5709, 5698, 5535, 5603])).
% 4.99/3.69 tff(5711,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5712,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5713,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 4.99/3.69 tff(5714,plain,
% 4.99/3.69 (~m_main_v_turn(s66, c_2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5713, 322, 5710])).
% 4.99/3.69 tff(5715,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5716,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5717,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 4.99/3.69 tff(5718,plain,
% 4.99/3.69 (~node12(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5717, 350, 5714])).
% 4.99/3.69 tff(5719,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5720,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5721,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 4.99/3.69 tff(5722,plain,
% 4.99/3.69 (~node8(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5721, 383, 5651])).
% 4.99/3.69 tff(5723,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5724,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5725,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 4.99/3.69 tff(5726,plain,
% 4.99/3.69 (~node9(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5725, 311, 5651])).
% 4.99/3.69 tff(5727,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5728,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5729,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 4.99/3.69 tff(5730,plain,
% 4.99/3.69 (~node10(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5729, 372, 5651])).
% 4.99/3.69 tff(5731,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5732,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5733,plain,
% 4.99/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 4.99/3.69 tff(5734,plain,
% 4.99/3.69 (~node11(s66)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5733, 361, 5671])).
% 4.99/3.69 tff(5735,plain,
% 4.99/3.69 (((~![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))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5736,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5737,plain,
% 4.99/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 4.99/3.69 tff(5738,plain,
% 4.99/3.69 (node14(s66, s67)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5737, 130, 5682])).
% 4.99/3.69 tff(5739,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5740,plain,
% 4.99/3.69 ((~![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)))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5741,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 4.99/3.69 tff(5742,plain,
% 4.99/3.69 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5741, 401, 5738])).
% 4.99/3.69 tff(5743,plain,
% 4.99/3.69 (node13(s66, s67)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5742, 5734, 5659, 5730, 5726, 5722, 5718])).
% 4.99/3.69 tff(5744,plain,
% 4.99/3.69 (((~![V: $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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5745,plain,
% 4.99/3.69 (((~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)))),
% 4.99/3.69 inference(rewrite,[status(thm)],[])).
% 4.99/3.69 tff(5746,plain,
% 4.99/3.69 (((~![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))))),
% 4.99/3.69 inference(monotonicity,[status(thm)],[5745])).
% 4.99/3.69 tff(5747,plain,
% 4.99/3.69 (((~![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)))),
% 4.99/3.69 inference(transitivity,[status(thm)],[5746, 5744])).
% 4.99/3.69 tff(5748,plain,
% 4.99/3.69 ((~![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))),
% 4.99/3.69 inference(quant_inst,[status(thm)],[])).
% 4.99/3.69 tff(5749,plain,
% 4.99/3.69 ((~![V: $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))),
% 4.99/3.69 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 4.99/3.69 tff(5750,plain,
% 4.99/3.69 (m_main_v_state2(s67, c_t2)),
% 4.99/3.69 inference(unit_resolution,[status(thm)],[5749, 563, 5647, 5743])).
% 4.99/3.70 tff(5751,plain,
% 4.99/3.70 (succ(s67, s68) <=> succ(s67, s68)),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5752,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 4.99/3.70 tff(5753,plain,
% 4.99/3.70 (succ(s67, s68)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 4.99/3.70 tff(5754,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5755,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5756,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 4.99/3.70 tff(5757,plain,
% 4.99/3.70 (trans(s67, s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5756, 5753, 57])).
% 4.99/3.70 tff(5758,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5759,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5760,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 4.99/3.70 tff(5761,plain,
% 4.99/3.70 (node7(s67, s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5760, 217, 5757])).
% 4.99/3.70 tff(5762,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5763,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5764,plain,
% 4.99/3.70 ((~![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)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 4.99/3.70 tff(5765,plain,
% 4.99/3.70 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5764, 598, 5761])).
% 4.99/3.70 tff(5766,plain,
% 4.99/3.70 (m_main_v_state1(s68, c_t1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5765, 5750, 5694])).
% 4.99/3.70 tff(5767,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5768,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5769,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 4.99/3.70 tff(5770,plain,
% 4.99/3.70 (~m_main_v_state1(s68, c_n1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5769, 35, 5766])).
% 4.99/3.70 tff(5771,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5772,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5773,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 4.99/3.70 tff(5774,plain,
% 4.99/3.70 (~node1(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5773, 249, 5770])).
% 4.99/3.70 tff(5775,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5776,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5777,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5776, 5775])).
% 4.99/3.70 tff(5778,plain,
% 4.99/3.70 (node18(s67, s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5777, 71, 5757])).
% 4.99/3.70 tff(5779,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5780,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5781,plain,
% 4.99/3.70 ((~![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)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 4.99/3.70 tff(5782,plain,
% 4.99/3.70 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5781, 625, 5778])).
% 4.99/3.70 tff(5783,plain,
% 4.99/3.70 (m_main_v_turn(s68, c_2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5782, 5750, 5694])).
% 4.99/3.70 tff(5784,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5785,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5786,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 4.99/3.70 tff(5787,plain,
% 4.99/3.70 (~m_main_v_turn(s68, c_1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5786, 322, 5783])).
% 4.99/3.70 tff(5788,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5789,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5790,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 4.99/3.70 tff(5791,plain,
% 4.99/3.70 (~node5(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5790, 641, 5787])).
% 4.99/3.70 tff(5792,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5793,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5794,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 4.99/3.70 tff(5795,plain,
% 4.99/3.70 (~node2(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5794, 652, 5770])).
% 4.99/3.70 tff(5796,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5797,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5798,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 4.99/3.70 tff(5799,plain,
% 4.99/3.70 (~node3(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5798, 663, 5770])).
% 4.99/3.70 tff(5800,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5801,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5802,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 4.99/3.70 tff(5803,plain,
% 4.99/3.70 (~m_main_v_state1(s68, c_c1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5802, 289, 5766])).
% 4.99/3.70 tff(5804,plain,
% 4.99/3.70 (((~![V: $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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5805,plain,
% 4.99/3.70 (((~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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5806,plain,
% 4.99/3.70 (((~![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))))),
% 4.99/3.70 inference(monotonicity,[status(thm)],[5805])).
% 4.99/3.70 tff(5807,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(transitivity,[status(thm)],[5806, 5804])).
% 4.99/3.70 tff(5808,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5809,plain,
% 4.99/3.70 ((~![V: $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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 4.99/3.70 tff(5810,plain,
% 4.99/3.70 (~m_main_v_state2(s67, c_n2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5809, 416, 5651, 5743])).
% 4.99/3.70 tff(5811,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5812,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5813,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 4.99/3.70 tff(5814,plain,
% 4.99/3.70 (~node9(s67)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5813, 311, 5810])).
% 4.99/3.70 tff(5815,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5816,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5817,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 4.99/3.70 tff(5818,plain,
% 4.99/3.70 (~node10(s67)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5817, 372, 5810])).
% 4.99/3.70 tff(5819,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5820,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5821,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 4.99/3.70 tff(5822,plain,
% 4.99/3.70 (~node8(s67)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5821, 383, 5810])).
% 4.99/3.70 tff(5823,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5824,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5825,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 4.99/3.70 tff(5826,plain,
% 4.99/3.70 (node14(s67, s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5825, 130, 5757])).
% 4.99/3.70 tff(5827,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5828,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5829,plain,
% 4.99/3.70 ((~![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)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 4.99/3.70 tff(5830,plain,
% 4.99/3.70 ((~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)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5829, 704, 5826])).
% 4.99/3.70 tff(5831,plain,
% 4.99/3.70 (m_main_v_state2(s68, c_c2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5830, 5822, 5694, 5750, 5818, 5814])).
% 4.99/3.70 tff(5832,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5833,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5834,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 4.99/3.70 tff(5835,plain,
% 4.99/3.70 (~m_main_v_state2(s68, c_n2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5834, 716, 5831])).
% 4.99/3.70 tff(5836,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5837,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5838,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 4.99/3.70 tff(5839,plain,
% 4.99/3.70 (~node4(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5838, 162, 5835])).
% 4.99/3.70 tff(5840,plain,
% 4.99/3.70 (succ(s68, s69) <=> succ(s68, s69)),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5841,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 4.99/3.70 tff(5842,plain,
% 4.99/3.70 (succ(s68, s69)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 4.99/3.70 tff(5843,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5844,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5845,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 4.99/3.70 tff(5846,plain,
% 4.99/3.70 (trans(s68, s69)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5845, 5842, 57])).
% 4.99/3.70 tff(5847,plain,
% 4.99/3.70 (((~![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))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5848,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5849,plain,
% 4.99/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 4.99/3.70 tff(5850,plain,
% 4.99/3.70 (node7(s68, s69)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5849, 217, 5846])).
% 4.99/3.70 tff(5851,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5852,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5853,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 4.99/3.70 tff(5854,plain,
% 4.99/3.70 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5853, 745, 5850])).
% 4.99/3.70 tff(5855,plain,
% 4.99/3.70 (node6(s68, s69)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5854, 5839, 5803, 5799, 5795, 5791, 5774])).
% 4.99/3.70 tff(5856,plain,
% 4.99/3.70 (((~![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(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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5857,plain,
% 4.99/3.70 (((~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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5858,plain,
% 4.99/3.70 (((~![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))))),
% 4.99/3.70 inference(monotonicity,[status(thm)],[5857])).
% 4.99/3.70 tff(5859,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(transitivity,[status(thm)],[5858, 5856])).
% 4.99/3.70 tff(5860,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5861,plain,
% 4.99/3.70 ((~![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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 4.99/3.70 tff(5862,plain,
% 4.99/3.70 (m_main_v_state1(s69, c_t1)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5861, 760, 5766, 5855])).
% 4.99/3.70 tff(5863,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5864,plain,
% 4.99/3.70 ((~![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)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5865,plain,
% 4.99/3.70 ((~![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))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5864, 5863])).
% 4.99/3.70 tff(5866,plain,
% 4.99/3.70 (~m_main_v_state2(s68, c_t2)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5865, 173, 5831])).
% 4.99/3.70 tff(5867,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5868,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5869,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 4.99/3.70 tff(5870,plain,
% 4.99/3.70 (~node12(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5869, 778, 5866])).
% 4.99/3.70 tff(5871,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5872,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5873,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 4.99/3.70 tff(5874,plain,
% 4.99/3.70 (~node11(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5873, 361, 5770])).
% 4.99/3.70 tff(5875,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5876,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5877,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 4.99/3.70 tff(5878,plain,
% 4.99/3.70 (~node10(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5877, 793, 5803])).
% 4.99/3.70 tff(5879,plain,
% 4.99/3.70 (((~![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)))),
% 4.99/3.70 inference(rewrite,[status(thm)],[])).
% 4.99/3.70 tff(5880,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 4.99/3.70 inference(quant_inst,[status(thm)],[])).
% 4.99/3.70 tff(5881,plain,
% 4.99/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 4.99/3.70 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 4.99/3.70 tff(5882,plain,
% 4.99/3.70 (~node9(s68)),
% 4.99/3.70 inference(unit_resolution,[status(thm)],[5881, 804, 5770])).
% 4.99/3.71 tff(5883,plain,
% 4.99/3.71 (((~![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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5884,plain,
% 4.99/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5885,plain,
% 4.99/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 4.99/3.71 tff(5886,plain,
% 4.99/3.71 (~node8(s68)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5885, 383, 5835])).
% 4.99/3.71 tff(5887,plain,
% 4.99/3.71 (((~![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))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5888,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5889,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 4.99/3.71 tff(5890,plain,
% 4.99/3.71 (node14(s68, s69)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5889, 130, 5846])).
% 4.99/3.71 tff(5891,plain,
% 4.99/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5892,plain,
% 4.99/3.71 (((~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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5893,plain,
% 4.99/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 4.99/3.71 inference(monotonicity,[status(thm)],[5892])).
% 4.99/3.71 tff(5894,plain,
% 4.99/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 4.99/3.71 inference(transitivity,[status(thm)],[5893, 5891])).
% 4.99/3.71 tff(5895,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5896,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 4.99/3.71 tff(5897,plain,
% 4.99/3.71 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5896, 826, 5890])).
% 4.99/3.71 tff(5898,plain,
% 4.99/3.71 (m_main_v_state2(s69, c_n2)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5897, 5886, 5831, 5882, 5878, 5874, 5870])).
% 4.99/3.71 tff(5899,plain,
% 4.99/3.71 (((~![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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5900,plain,
% 4.99/3.71 ((~![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)))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5901,plain,
% 4.99/3.71 ((~![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))),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 4.99/3.71 tff(5902,plain,
% 4.99/3.71 (~m_main_v_state2(s69, c_t2)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5901, 10, 5898])).
% 4.99/3.71 tff(5903,plain,
% 4.99/3.71 (((~![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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5904,plain,
% 4.99/3.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5905,plain,
% 4.99/3.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 4.99/3.71 tff(5906,plain,
% 4.99/3.71 (~node15(s69)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5905, 21, 5902])).
% 4.99/3.71 tff(5907,plain,
% 4.99/3.71 (succ(s69, s70) <=> succ(s69, s70)),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5908,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 4.99/3.71 tff(5909,plain,
% 4.99/3.71 (succ(s69, s70)),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 4.99/3.71 tff(5910,plain,
% 4.99/3.71 (((~![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))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5911,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5912,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 4.99/3.71 tff(5913,plain,
% 4.99/3.71 (trans(s69, s70)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5912, 5909, 57])).
% 4.99/3.71 tff(5914,plain,
% 4.99/3.71 (((~![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))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5915,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5916,plain,
% 4.99/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 4.99/3.71 tff(5917,plain,
% 4.99/3.71 (node18(s69, s70)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5916, 71, 5913])).
% 4.99/3.71 tff(5918,plain,
% 4.99/3.71 (((~![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(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))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5919,plain,
% 4.99/3.71 (((~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))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5920,plain,
% 4.99/3.71 (((~![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(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)))),
% 4.99/3.71 inference(monotonicity,[status(thm)],[5919])).
% 4.99/3.71 tff(5921,plain,
% 4.99/3.71 (((~![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(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))),
% 4.99/3.71 inference(transitivity,[status(thm)],[5920, 5918])).
% 4.99/3.71 tff(5922,plain,
% 4.99/3.71 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5923,plain,
% 4.99/3.71 ((~![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(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)),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 4.99/3.71 tff(5924,plain,
% 4.99/3.71 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5923, 863, 5917])).
% 4.99/3.71 tff(5925,plain,
% 4.99/3.71 (m_main_v_turn(s70, c_1)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5924, 5906, 5898, 5862])).
% 4.99/3.71 tff(5926,plain,
% 4.99/3.71 (((~![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)))),
% 4.99/3.71 inference(rewrite,[status(thm)],[])).
% 4.99/3.71 tff(5927,plain,
% 4.99/3.71 ((~![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)))),
% 4.99/3.71 inference(quant_inst,[status(thm)],[])).
% 4.99/3.71 tff(5928,plain,
% 4.99/3.71 ((~![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))),
% 4.99/3.71 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 4.99/3.71 tff(5929,plain,
% 4.99/3.71 (~m_main_v_turn(s70, c_2)),
% 4.99/3.71 inference(unit_resolution,[status(thm)],[5928, 322, 5925])).
% 4.99/3.71 tff(5930,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5931,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5932,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 5.08/3.71 tff(5933,plain,
% 5.08/3.71 (~node12(s70)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5932, 350, 5929])).
% 5.08/3.71 tff(5934,plain,
% 5.08/3.71 (((~![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))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5935,plain,
% 5.08/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5936,plain,
% 5.08/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 5.08/3.71 tff(5937,plain,
% 5.08/3.71 (node14(s69, s70)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5936, 130, 5913])).
% 5.08/3.71 tff(5938,plain,
% 5.08/3.71 (((~![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))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5939,plain,
% 5.08/3.71 ((~![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))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5940,plain,
% 5.08/3.71 ((~![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)),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 5.08/3.71 tff(5941,plain,
% 5.08/3.71 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5940, 893, 5937])).
% 5.08/3.71 tff(5942,plain,
% 5.08/3.71 (m_main_v_state2(s70, c_t2)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5941, 5862, 5898])).
% 5.08/3.71 tff(5943,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5944,plain,
% 5.08/3.71 ((~![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)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5945,plain,
% 5.08/3.71 ((~![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))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 5.08/3.71 tff(5946,plain,
% 5.08/3.71 (~m_main_v_state2(s70, c_n2)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5945, 10, 5942])).
% 5.08/3.71 tff(5947,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5948,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5949,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 5.08/3.71 tff(5950,plain,
% 5.08/3.71 (~node8(s70)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5949, 383, 5946])).
% 5.08/3.71 tff(5951,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5952,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5953,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 5.08/3.71 tff(5954,plain,
% 5.08/3.71 (~node9(s70)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5953, 311, 5946])).
% 5.08/3.71 tff(5955,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5956,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5957,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 5.08/3.71 tff(5958,plain,
% 5.08/3.71 (~node10(s70)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5957, 372, 5946])).
% 5.08/3.71 tff(5959,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5960,plain,
% 5.08/3.71 ((~![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)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5961,plain,
% 5.08/3.71 ((~![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))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 5.08/3.71 tff(5962,plain,
% 5.08/3.71 (~m_main_v_state2(s70, c_c2)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5961, 173, 5942])).
% 5.08/3.71 tff(5963,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5964,plain,
% 5.08/3.71 ((~![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)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5965,plain,
% 5.08/3.71 ((~![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))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 5.08/3.71 tff(5966,plain,
% 5.08/3.71 (~m_main_v_state2(s69, c_c2)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5965, 716, 5898])).
% 5.08/3.71 tff(5967,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5968,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5969,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 5.08/3.71 tff(5970,plain,
% 5.08/3.71 (~node3(s69)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5969, 184, 5966])).
% 5.08/3.71 tff(5971,plain,
% 5.08/3.71 (((~![V: $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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5972,plain,
% 5.08/3.71 (((~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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5973,plain,
% 5.08/3.71 (((~![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))))),
% 5.08/3.71 inference(monotonicity,[status(thm)],[5972])).
% 5.08/3.71 tff(5974,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(transitivity,[status(thm)],[5973, 5971])).
% 5.08/3.71 tff(5975,plain,
% 5.08/3.71 ((~![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)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5976,plain,
% 5.08/3.71 ((~![V: $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))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 5.08/3.71 tff(5977,plain,
% 5.08/3.71 (~m_main_v_state1(s69, c_n1)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5976, 936, 5770, 5855])).
% 5.08/3.71 tff(5978,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5979,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5980,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 5.08/3.71 tff(5981,plain,
% 5.08/3.71 (~node2(s69)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5980, 652, 5977])).
% 5.08/3.71 tff(5982,plain,
% 5.08/3.71 (((~![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)))),
% 5.08/3.71 inference(rewrite,[status(thm)],[])).
% 5.08/3.71 tff(5983,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 5.08/3.71 inference(quant_inst,[status(thm)],[])).
% 5.08/3.71 tff(5984,plain,
% 5.08/3.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 5.08/3.71 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 5.08/3.71 tff(5985,plain,
% 5.08/3.71 (~node1(s69)),
% 5.08/3.71 inference(unit_resolution,[status(thm)],[5984, 206, 5902])).
% 5.08/3.71 tff(5986,plain,
% 5.08/3.71 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(5987,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(5988,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 5.08/3.72 tff(5989,plain,
% 5.08/3.72 (node7(s69, s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[5988, 217, 5913])).
% 5.08/3.72 tff(5990,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(5991,plain,
% 5.08/3.72 (((~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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(5992,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.08/3.72 inference(monotonicity,[status(thm)],[5991])).
% 5.08/3.72 tff(5993,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.72 inference(transitivity,[status(thm)],[5992, 5990])).
% 5.08/3.72 tff(5994,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(5995,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 5.08/3.72 tff(5996,plain,
% 5.08/3.72 ((~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)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[5995, 965, 5989])).
% 5.08/3.72 tff(5997,plain,
% 5.08/3.72 (m_main_v_state1(s70, c_c1)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[5996, 5985, 5898, 5862, 5981, 5970])).
% 5.08/3.72 tff(5998,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(5999,plain,
% 5.08/3.72 ((~![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)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6000,plain,
% 5.08/3.72 ((~![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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 5.08/3.72 tff(6001,plain,
% 5.08/3.72 (~m_main_v_state1(s70, c_n1)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6000, 449, 5997])).
% 5.08/3.72 tff(6002,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6003,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6004,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 5.08/3.72 tff(6005,plain,
% 5.08/3.72 (~node11(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6004, 361, 6001])).
% 5.08/3.72 tff(6006,plain,
% 5.08/3.72 (succ(s70, s71) <=> succ(s70, s71)),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6007,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 5.08/3.72 tff(6008,plain,
% 5.08/3.72 (succ(s70, s71)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 5.08/3.72 tff(6009,plain,
% 5.08/3.72 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6010,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6011,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 5.08/3.72 tff(6012,plain,
% 5.08/3.72 (trans(s70, s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6011, 6008, 57])).
% 5.08/3.72 tff(6013,plain,
% 5.08/3.72 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6014,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6015,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 5.08/3.72 tff(6016,plain,
% 5.08/3.72 (node14(s70, s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6015, 130, 6012])).
% 5.08/3.72 tff(6017,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6018,plain,
% 5.08/3.72 ((~![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)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6019,plain,
% 5.08/3.72 ((~![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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 5.08/3.72 tff(6020,plain,
% 5.08/3.72 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6019, 401, 6016])).
% 5.08/3.72 tff(6021,plain,
% 5.08/3.72 (node13(s70, s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6020, 6005, 5962, 5958, 5954, 5950, 5933])).
% 5.08/3.72 tff(6022,plain,
% 5.08/3.72 (((~![V: $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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6023,plain,
% 5.08/3.72 (((~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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6024,plain,
% 5.08/3.72 (((~![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))))),
% 5.08/3.72 inference(monotonicity,[status(thm)],[6023])).
% 5.08/3.72 tff(6025,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(transitivity,[status(thm)],[6024, 6022])).
% 5.08/3.72 tff(6026,plain,
% 5.08/3.72 ((~![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)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6027,plain,
% 5.08/3.72 ((~![V: $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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 5.08/3.72 tff(6028,plain,
% 5.08/3.72 (~m_main_v_state2(s71, c_n2)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6027, 416, 5946, 6021])).
% 5.08/3.72 tff(6029,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6030,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6031,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 5.08/3.72 tff(6032,plain,
% 5.08/3.72 (~node9(s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6031, 311, 6028])).
% 5.08/3.72 tff(6033,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6034,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6035,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 5.08/3.72 tff(6036,plain,
% 5.08/3.72 (~node10(s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6035, 372, 6028])).
% 5.08/3.72 tff(6037,plain,
% 5.08/3.72 (((~![V: $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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6038,plain,
% 5.08/3.72 (((~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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6039,plain,
% 5.08/3.72 (((~![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))))),
% 5.08/3.72 inference(monotonicity,[status(thm)],[6038])).
% 5.08/3.72 tff(6040,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(transitivity,[status(thm)],[6039, 6037])).
% 5.08/3.72 tff(6041,plain,
% 5.08/3.72 ((~![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))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6042,plain,
% 5.08/3.72 ((~![V: $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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6041, 6040])).
% 5.08/3.72 tff(6043,plain,
% 5.08/3.72 (m_main_v_state2(s71, c_t2)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6042, 563, 5942, 6021])).
% 5.08/3.72 tff(6044,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6045,plain,
% 5.08/3.72 ((~![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)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6046,plain,
% 5.08/3.72 ((~![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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6045, 6044])).
% 5.08/3.72 tff(6047,plain,
% 5.08/3.72 (~m_main_v_state1(s70, c_t1)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6046, 289, 5997])).
% 5.08/3.72 tff(6048,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6049,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6050,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 5.08/3.72 tff(6051,plain,
% 5.08/3.72 (~node5(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6050, 300, 6047])).
% 5.08/3.72 tff(6052,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6053,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6054,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 5.08/3.72 tff(6055,plain,
% 5.08/3.72 (~node4(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6054, 162, 5946])).
% 5.08/3.72 tff(6056,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6057,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6058,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 5.08/3.72 tff(6059,plain,
% 5.08/3.72 (~node3(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6058, 184, 5962])).
% 5.08/3.72 tff(6060,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6061,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6062,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 5.08/3.72 tff(6063,plain,
% 5.08/3.72 (~node2(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6062, 195, 5946])).
% 5.08/3.72 tff(6064,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6065,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6066,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 5.08/3.72 tff(6067,plain,
% 5.08/3.72 (~node1(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6066, 249, 6001])).
% 5.08/3.72 tff(6068,plain,
% 5.08/3.72 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6069,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6070,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 5.08/3.72 tff(6071,plain,
% 5.08/3.72 (node7(s70, s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6070, 217, 6012])).
% 5.08/3.72 tff(6072,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6073,plain,
% 5.08/3.72 (((~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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6074,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.08/3.72 inference(monotonicity,[status(thm)],[6073])).
% 5.08/3.72 tff(6075,plain,
% 5.08/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.08/3.72 inference(transitivity,[status(thm)],[6074, 6072])).
% 5.08/3.72 tff(6076,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6077,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 5.08/3.72 tff(6078,plain,
% 5.08/3.72 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6077, 478, 6071])).
% 5.08/3.72 tff(6079,plain,
% 5.08/3.72 (m_main_v_state1(s71, c_n1)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6078, 6067, 5997, 6063, 6059, 6055, 6051])).
% 5.08/3.72 tff(6080,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6081,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6082,plain,
% 5.08/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 5.08/3.72 tff(6083,plain,
% 5.08/3.72 (~node8(s71)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6082, 383, 6028])).
% 5.08/3.72 tff(6084,plain,
% 5.08/3.72 (succ(s71, s72) <=> succ(s71, s72)),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6085,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 5.08/3.72 tff(6086,plain,
% 5.08/3.72 (succ(s71, s72)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 5.08/3.72 tff(6087,plain,
% 5.08/3.72 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6088,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6089,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 5.08/3.72 tff(6090,plain,
% 5.08/3.72 (trans(s71, s72)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6089, 6086, 57])).
% 5.08/3.72 tff(6091,plain,
% 5.08/3.72 (((~![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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6092,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6093,plain,
% 5.08/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 5.08/3.72 tff(6094,plain,
% 5.08/3.72 (node14(s71, s72)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6093, 130, 6090])).
% 5.08/3.72 tff(6095,plain,
% 5.08/3.72 (((~![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(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))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6096,plain,
% 5.08/3.72 ((~![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(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))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6097,plain,
% 5.08/3.72 ((~![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(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)),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 5.08/3.72 tff(6098,plain,
% 5.08/3.72 ((~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)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6097, 704, 6094])).
% 5.08/3.72 tff(6099,plain,
% 5.08/3.72 (m_main_v_state2(s72, c_c2)),
% 5.08/3.72 inference(unit_resolution,[status(thm)],[6098, 6083, 6079, 6043, 6036, 6032])).
% 5.08/3.72 tff(6100,plain,
% 5.08/3.72 (((~![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)))),
% 5.08/3.72 inference(rewrite,[status(thm)],[])).
% 5.08/3.72 tff(6101,plain,
% 5.08/3.72 ((~![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)))),
% 5.08/3.72 inference(quant_inst,[status(thm)],[])).
% 5.08/3.72 tff(6102,plain,
% 5.08/3.72 ((~![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))),
% 5.08/3.72 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 5.08/3.73 tff(6103,plain,
% 5.08/3.73 (~m_main_v_state2(s72, c_t2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6102, 173, 6099])).
% 5.08/3.73 tff(6104,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6105,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6106,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 5.08/3.73 tff(6107,plain,
% 5.08/3.73 (~node12(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6106, 778, 6103])).
% 5.08/3.73 tff(6108,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6109,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6110,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 5.08/3.73 tff(6111,plain,
% 5.08/3.73 (node7(s71, s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6110, 217, 6090])).
% 5.08/3.73 tff(6112,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6113,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6114,plain,
% 5.08/3.73 ((~![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)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 5.08/3.73 tff(6115,plain,
% 5.08/3.73 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6114, 598, 6111])).
% 5.08/3.73 tff(6116,plain,
% 5.08/3.73 (m_main_v_state1(s72, c_t1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6115, 6043, 6079])).
% 5.08/3.73 tff(6117,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6118,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6119,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 5.08/3.73 tff(6120,plain,
% 5.08/3.73 (~m_main_v_state1(s72, c_n1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6119, 35, 6116])).
% 5.08/3.73 tff(6121,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6122,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6123,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 5.08/3.73 tff(6124,plain,
% 5.08/3.73 (~node11(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6123, 361, 6120])).
% 5.08/3.73 tff(6125,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6126,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6127,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 5.08/3.73 tff(6128,plain,
% 5.08/3.73 (~m_main_v_state1(s72, c_c1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6127, 289, 6116])).
% 5.08/3.73 tff(6129,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6130,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6131,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 5.08/3.73 tff(6132,plain,
% 5.08/3.73 (~node10(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6131, 793, 6128])).
% 5.08/3.73 tff(6133,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6134,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6135,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 5.08/3.73 tff(6136,plain,
% 5.08/3.73 (~node9(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6135, 804, 6120])).
% 5.08/3.73 tff(6137,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6138,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6139,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 5.08/3.73 tff(6140,plain,
% 5.08/3.73 (~m_main_v_state2(s72, c_n2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6139, 716, 6099])).
% 5.08/3.73 tff(6141,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6142,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6143,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 5.08/3.73 tff(6144,plain,
% 5.08/3.73 (~node8(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6143, 383, 6140])).
% 5.08/3.73 tff(6145,plain,
% 5.08/3.73 (succ(s72, s73) <=> succ(s72, s73)),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6146,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 5.08/3.73 tff(6147,plain,
% 5.08/3.73 (succ(s72, s73)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 5.08/3.73 tff(6148,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6149,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6150,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 5.08/3.73 tff(6151,plain,
% 5.08/3.73 (trans(s72, s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6150, 6147, 57])).
% 5.08/3.73 tff(6152,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6153,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6154,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 5.08/3.73 tff(6155,plain,
% 5.08/3.73 (node14(s72, s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6154, 130, 6151])).
% 5.08/3.73 tff(6156,plain,
% 5.08/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6157,plain,
% 5.08/3.73 (((~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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6158,plain,
% 5.08/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.08/3.73 inference(monotonicity,[status(thm)],[6157])).
% 5.08/3.73 tff(6159,plain,
% 5.08/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.08/3.73 inference(transitivity,[status(thm)],[6158, 6156])).
% 5.08/3.73 tff(6160,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6161,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 5.08/3.73 tff(6162,plain,
% 5.08/3.73 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6161, 826, 6155])).
% 5.08/3.73 tff(6163,plain,
% 5.08/3.73 (m_main_v_state2(s73, c_n2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6162, 6144, 6099, 6136, 6132, 6124, 6107])).
% 5.08/3.73 tff(6164,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6165,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6166,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 5.08/3.73 tff(6167,plain,
% 5.08/3.73 (~m_main_v_state2(s73, c_c2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6166, 716, 6163])).
% 5.08/3.73 tff(6168,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6169,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6170,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 5.08/3.73 tff(6171,plain,
% 5.08/3.73 (~node3(s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6170, 184, 6167])).
% 5.08/3.73 tff(6172,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6173,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6174,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 5.08/3.73 tff(6175,plain,
% 5.08/3.73 (~node1(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6174, 249, 6120])).
% 5.08/3.73 tff(6176,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6177,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6178,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 5.08/3.73 tff(6179,plain,
% 5.08/3.73 (node18(s71, s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6178, 71, 6090])).
% 5.08/3.73 tff(6180,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6181,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6182,plain,
% 5.08/3.73 ((~![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)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 5.08/3.73 tff(6183,plain,
% 5.08/3.73 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6182, 625, 6179])).
% 5.08/3.73 tff(6184,plain,
% 5.08/3.73 (m_main_v_turn(s72, c_2)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6183, 6043, 6079])).
% 5.08/3.73 tff(6185,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6186,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6187,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 5.08/3.73 tff(6188,plain,
% 5.08/3.73 (~m_main_v_turn(s72, c_1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6187, 322, 6184])).
% 5.08/3.73 tff(6189,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6190,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6191,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 5.08/3.73 tff(6192,plain,
% 5.08/3.73 (~node5(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6191, 641, 6188])).
% 5.08/3.73 tff(6193,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6194,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6195,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 5.08/3.73 tff(6196,plain,
% 5.08/3.73 (~node2(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6195, 652, 6120])).
% 5.08/3.73 tff(6197,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6198,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6199,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 5.08/3.73 tff(6200,plain,
% 5.08/3.73 (~node3(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6199, 663, 6120])).
% 5.08/3.73 tff(6201,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6202,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6203,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 5.08/3.73 tff(6204,plain,
% 5.08/3.73 (~node4(s72)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6203, 162, 6140])).
% 5.08/3.73 tff(6205,plain,
% 5.08/3.73 (((~![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))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6206,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6207,plain,
% 5.08/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 5.08/3.73 tff(6208,plain,
% 5.08/3.73 (node7(s72, s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6207, 217, 6151])).
% 5.08/3.73 tff(6209,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6210,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6211,plain,
% 5.08/3.73 ((~![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))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 5.08/3.73 tff(6212,plain,
% 5.08/3.73 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6211, 745, 6208])).
% 5.08/3.73 tff(6213,plain,
% 5.08/3.73 (node6(s72, s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6212, 6204, 6128, 6200, 6196, 6192, 6175])).
% 5.08/3.73 tff(6214,plain,
% 5.08/3.73 (((~![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(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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6215,plain,
% 5.08/3.73 (((~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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6216,plain,
% 5.08/3.73 (((~![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))))),
% 5.08/3.73 inference(monotonicity,[status(thm)],[6215])).
% 5.08/3.73 tff(6217,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(transitivity,[status(thm)],[6216, 6214])).
% 5.08/3.73 tff(6218,plain,
% 5.08/3.73 ((~![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)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6219,plain,
% 5.08/3.73 ((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 5.08/3.73 tff(6220,plain,
% 5.08/3.73 (~m_main_v_state1(s73, c_n1)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6219, 936, 6120, 6213])).
% 5.08/3.73 tff(6221,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6222,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 5.08/3.73 inference(quant_inst,[status(thm)],[])).
% 5.08/3.73 tff(6223,plain,
% 5.08/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 5.08/3.73 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 5.08/3.73 tff(6224,plain,
% 5.08/3.73 (~node2(s73)),
% 5.08/3.73 inference(unit_resolution,[status(thm)],[6223, 652, 6220])).
% 5.08/3.73 tff(6225,plain,
% 5.08/3.73 (((~![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(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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6226,plain,
% 5.08/3.73 (((~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)))),
% 5.08/3.73 inference(rewrite,[status(thm)],[])).
% 5.08/3.73 tff(6227,plain,
% 5.08/3.73 (((~![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))))),
% 5.08/3.73 inference(monotonicity,[status(thm)],[6226])).
% 5.08/3.73 tff(6228,plain,
% 5.08/3.73 (((~![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)))),
% 5.08/3.74 inference(transitivity,[status(thm)],[6227, 6225])).
% 5.08/3.74 tff(6229,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6230,plain,
% 5.08/3.74 ((~![V: $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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 5.08/3.74 tff(6231,plain,
% 5.08/3.74 (m_main_v_state1(s73, c_t1)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6230, 760, 6116, 6213])).
% 5.08/3.74 tff(6232,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6233,plain,
% 5.08/3.74 ((~![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)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6234,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 5.08/3.74 tff(6235,plain,
% 5.08/3.74 (~m_main_v_state2(s73, c_t2)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6234, 10, 6163])).
% 5.08/3.74 tff(6236,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6237,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6238,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 5.08/3.74 tff(6239,plain,
% 5.08/3.74 (~node1(s73)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6238, 206, 6235])).
% 5.08/3.74 tff(6240,plain,
% 5.08/3.74 (succ(s73, s74) <=> succ(s73, s74)),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6241,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 5.08/3.74 tff(6242,plain,
% 5.08/3.74 (succ(s73, s74)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 5.08/3.74 tff(6243,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6244,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6245,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 5.08/3.74 tff(6246,plain,
% 5.08/3.74 (trans(s73, s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6245, 6242, 57])).
% 5.08/3.74 tff(6247,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6248,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6249,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 5.08/3.74 tff(6250,plain,
% 5.08/3.74 (node7(s73, s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6249, 217, 6246])).
% 5.08/3.74 tff(6251,plain,
% 5.08/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6252,plain,
% 5.08/3.74 (((~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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6253,plain,
% 5.08/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.08/3.74 inference(monotonicity,[status(thm)],[6252])).
% 5.08/3.74 tff(6254,plain,
% 5.08/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.74 inference(transitivity,[status(thm)],[6253, 6251])).
% 5.08/3.74 tff(6255,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6256,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 5.08/3.74 tff(6257,plain,
% 5.08/3.74 ((~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)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6256, 965, 6250])).
% 5.08/3.74 tff(6258,plain,
% 5.08/3.74 (m_main_v_state1(s74, c_c1)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6257, 6239, 6163, 6231, 6224, 6171])).
% 5.08/3.74 tff(6259,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6260,plain,
% 5.08/3.74 ((~![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)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6261,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 5.08/3.74 tff(6262,plain,
% 5.08/3.74 (~m_main_v_state1(s74, c_t1)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6261, 289, 6258])).
% 5.08/3.74 tff(6263,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6264,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6265,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 5.08/3.74 tff(6266,plain,
% 5.08/3.74 (~node5(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6265, 300, 6262])).
% 5.08/3.74 tff(6267,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6268,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6269,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 5.08/3.74 tff(6270,plain,
% 5.08/3.74 (node14(s73, s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6269, 130, 6246])).
% 5.08/3.74 tff(6271,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6272,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6273,plain,
% 5.08/3.74 ((~![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)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 5.08/3.74 tff(6274,plain,
% 5.08/3.74 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6273, 893, 6270])).
% 5.08/3.74 tff(6275,plain,
% 5.08/3.74 (m_main_v_state2(s74, c_t2)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6274, 6231, 6163])).
% 5.08/3.74 tff(6276,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6277,plain,
% 5.08/3.74 ((~![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)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6278,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 5.08/3.74 tff(6279,plain,
% 5.08/3.74 (~m_main_v_state2(s74, c_n2)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6278, 10, 6275])).
% 5.08/3.74 tff(6280,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6281,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6282,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 5.08/3.74 tff(6283,plain,
% 5.08/3.74 (~node4(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6282, 162, 6279])).
% 5.08/3.74 tff(6284,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6285,plain,
% 5.08/3.74 ((~![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)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6286,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 5.08/3.74 tff(6287,plain,
% 5.08/3.74 (~m_main_v_state2(s74, c_c2)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6286, 173, 6275])).
% 5.08/3.74 tff(6288,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6289,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6290,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 5.08/3.74 tff(6291,plain,
% 5.08/3.74 (~node3(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6290, 184, 6287])).
% 5.08/3.74 tff(6292,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6293,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6294,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 5.08/3.74 tff(6295,plain,
% 5.08/3.74 (~node2(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6294, 195, 6279])).
% 5.08/3.74 tff(6296,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6297,plain,
% 5.08/3.74 ((~![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)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6298,plain,
% 5.08/3.74 ((~![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))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 5.08/3.74 tff(6299,plain,
% 5.08/3.74 (~m_main_v_state1(s74, c_n1)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6298, 449, 6258])).
% 5.08/3.74 tff(6300,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6301,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6302,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 5.08/3.74 tff(6303,plain,
% 5.08/3.74 (~node1(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6302, 249, 6299])).
% 5.08/3.74 tff(6304,plain,
% 5.08/3.74 (succ(s74, s75) <=> succ(s74, s75)),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6305,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 5.08/3.74 tff(6306,plain,
% 5.08/3.74 (succ(s74, s75)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 5.08/3.74 tff(6307,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6308,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6309,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 5.08/3.74 tff(6310,plain,
% 5.08/3.74 (trans(s74, s75)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6309, 6306, 57])).
% 5.08/3.74 tff(6311,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6312,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6313,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 5.08/3.74 tff(6314,plain,
% 5.08/3.74 (node7(s74, s75)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6313, 217, 6310])).
% 5.08/3.74 tff(6315,plain,
% 5.08/3.74 (((~![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(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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6316,plain,
% 5.08/3.74 (((~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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6317,plain,
% 5.08/3.74 (((~![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(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))))),
% 5.08/3.74 inference(monotonicity,[status(thm)],[6316])).
% 5.08/3.74 tff(6318,plain,
% 5.08/3.74 (((~![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(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)))),
% 5.08/3.74 inference(transitivity,[status(thm)],[6317, 6315])).
% 5.08/3.74 tff(6319,plain,
% 5.08/3.74 ((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6320,plain,
% 5.08/3.74 ((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 5.08/3.74 tff(6321,plain,
% 5.08/3.74 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6320, 478, 6314])).
% 5.08/3.74 tff(6322,plain,
% 5.08/3.74 (m_main_v_state1(s75, c_n1)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6321, 6303, 6258, 6295, 6291, 6283, 6266])).
% 5.08/3.74 tff(6323,plain,
% 5.08/3.74 (((~![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)))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6324,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6325,plain,
% 5.08/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 5.08/3.74 tff(6326,plain,
% 5.08/3.74 (~node15(s73)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6325, 21, 6235])).
% 5.08/3.74 tff(6327,plain,
% 5.08/3.74 (((~![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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6328,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 5.08/3.74 inference(quant_inst,[status(thm)],[])).
% 5.08/3.74 tff(6329,plain,
% 5.08/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 5.08/3.74 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 5.08/3.74 tff(6330,plain,
% 5.08/3.74 (node18(s73, s74)),
% 5.08/3.74 inference(unit_resolution,[status(thm)],[6329, 71, 6246])).
% 5.08/3.74 tff(6331,plain,
% 5.08/3.74 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.74 tff(6332,plain,
% 5.08/3.74 (((~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))),
% 5.08/3.74 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6333,plain,
% 5.08/3.75 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.08/3.75 inference(monotonicity,[status(thm)],[6332])).
% 5.08/3.75 tff(6334,plain,
% 5.08/3.75 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.08/3.75 inference(transitivity,[status(thm)],[6333, 6331])).
% 5.08/3.75 tff(6335,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6336,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 5.08/3.75 tff(6337,plain,
% 5.08/3.75 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6336, 863, 6330])).
% 5.08/3.75 tff(6338,plain,
% 5.08/3.75 (m_main_v_turn(s74, c_1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6337, 6326, 6163, 6231])).
% 5.08/3.75 tff(6339,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6340,plain,
% 5.08/3.75 ((~![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)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6341,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 5.08/3.75 tff(6342,plain,
% 5.08/3.75 (~m_main_v_turn(s74, c_2)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6341, 322, 6338])).
% 5.08/3.75 tff(6343,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6344,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6345,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 5.08/3.75 tff(6346,plain,
% 5.08/3.75 (~node12(s74)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6345, 350, 6342])).
% 5.08/3.75 tff(6347,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6348,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6349,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 5.08/3.75 tff(6350,plain,
% 5.08/3.75 (~node8(s74)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6349, 383, 6279])).
% 5.08/3.75 tff(6351,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6352,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6353,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 5.08/3.75 tff(6354,plain,
% 5.08/3.75 (~node9(s74)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6353, 311, 6279])).
% 5.08/3.75 tff(6355,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6356,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6357,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 5.08/3.75 tff(6358,plain,
% 5.08/3.75 (~node10(s74)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6357, 372, 6279])).
% 5.08/3.75 tff(6359,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6360,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6361,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 5.08/3.75 tff(6362,plain,
% 5.08/3.75 (~node11(s74)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6361, 361, 6299])).
% 5.08/3.75 tff(6363,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6364,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6365,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 5.08/3.75 tff(6366,plain,
% 5.08/3.75 (node14(s74, s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6365, 130, 6310])).
% 5.08/3.75 tff(6367,plain,
% 5.08/3.75 (((~![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(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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6368,plain,
% 5.08/3.75 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6369,plain,
% 5.08/3.75 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 5.08/3.75 tff(6370,plain,
% 5.08/3.75 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6369, 401, 6366])).
% 5.08/3.75 tff(6371,plain,
% 5.08/3.75 (node13(s74, s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6370, 6362, 6287, 6358, 6354, 6350, 6346])).
% 5.08/3.75 tff(6372,plain,
% 5.08/3.75 (((~![V: $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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6373,plain,
% 5.08/3.75 (((~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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6374,plain,
% 5.08/3.75 (((~![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))))),
% 5.08/3.75 inference(monotonicity,[status(thm)],[6373])).
% 5.08/3.75 tff(6375,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(transitivity,[status(thm)],[6374, 6372])).
% 5.08/3.75 tff(6376,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6377,plain,
% 5.08/3.75 ((~![V: $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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 5.08/3.75 tff(6378,plain,
% 5.08/3.75 (m_main_v_state2(s75, c_t2)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6377, 563, 6275, 6371])).
% 5.08/3.75 tff(6379,plain,
% 5.08/3.75 (succ(s75, s76) <=> succ(s75, s76)),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6380,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 5.08/3.75 tff(6381,plain,
% 5.08/3.75 (succ(s75, s76)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 5.08/3.75 tff(6382,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6383,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6384,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 5.08/3.75 tff(6385,plain,
% 5.08/3.75 (trans(s75, s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6384, 6381, 57])).
% 5.08/3.75 tff(6386,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6387,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6388,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 5.08/3.75 tff(6389,plain,
% 5.08/3.75 (node7(s75, s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6388, 217, 6385])).
% 5.08/3.75 tff(6390,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6391,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6392,plain,
% 5.08/3.75 ((~![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)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 5.08/3.75 tff(6393,plain,
% 5.08/3.75 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6392, 598, 6389])).
% 5.08/3.75 tff(6394,plain,
% 5.08/3.75 (m_main_v_state1(s76, c_t1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6393, 6378, 6322])).
% 5.08/3.75 tff(6395,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6396,plain,
% 5.08/3.75 ((~![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)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6397,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 5.08/3.75 tff(6398,plain,
% 5.08/3.75 (~m_main_v_state1(s76, c_n1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6397, 35, 6394])).
% 5.08/3.75 tff(6399,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6400,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6401,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 5.08/3.75 tff(6402,plain,
% 5.08/3.75 (~node1(s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6401, 249, 6398])).
% 5.08/3.75 tff(6403,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6404,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6405,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6404, 6403])).
% 5.08/3.75 tff(6406,plain,
% 5.08/3.75 (node18(s75, s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6405, 71, 6385])).
% 5.08/3.75 tff(6407,plain,
% 5.08/3.75 (((~![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(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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6408,plain,
% 5.08/3.75 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6409,plain,
% 5.08/3.75 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 5.08/3.75 tff(6410,plain,
% 5.08/3.75 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6409, 625, 6406])).
% 5.08/3.75 tff(6411,plain,
% 5.08/3.75 (m_main_v_turn(s76, c_2)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6410, 6378, 6322])).
% 5.08/3.75 tff(6412,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6413,plain,
% 5.08/3.75 ((~![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)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6414,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 5.08/3.75 tff(6415,plain,
% 5.08/3.75 (~m_main_v_turn(s76, c_1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6414, 322, 6411])).
% 5.08/3.75 tff(6416,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6417,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6418,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 5.08/3.75 tff(6419,plain,
% 5.08/3.75 (~node5(s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6418, 641, 6415])).
% 5.08/3.75 tff(6420,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6421,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6422,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 5.08/3.75 tff(6423,plain,
% 5.08/3.75 (~node2(s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6422, 652, 6398])).
% 5.08/3.75 tff(6424,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6425,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6426,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 5.08/3.75 tff(6427,plain,
% 5.08/3.75 (~node3(s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6426, 663, 6398])).
% 5.08/3.75 tff(6428,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6429,plain,
% 5.08/3.75 ((~![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)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6430,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 5.08/3.75 tff(6431,plain,
% 5.08/3.75 (~m_main_v_state1(s76, c_c1)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6430, 289, 6394])).
% 5.08/3.75 tff(6432,plain,
% 5.08/3.75 (((~![V: $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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6433,plain,
% 5.08/3.75 (((~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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6434,plain,
% 5.08/3.75 (((~![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))))),
% 5.08/3.75 inference(monotonicity,[status(thm)],[6433])).
% 5.08/3.75 tff(6435,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(transitivity,[status(thm)],[6434, 6432])).
% 5.08/3.75 tff(6436,plain,
% 5.08/3.75 ((~![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)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6437,plain,
% 5.08/3.75 ((~![V: $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))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 5.08/3.75 tff(6438,plain,
% 5.08/3.75 (~m_main_v_state2(s75, c_n2)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6437, 416, 6279, 6371])).
% 5.08/3.75 tff(6439,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6440,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6441,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 5.08/3.75 tff(6442,plain,
% 5.08/3.75 (~node9(s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6441, 311, 6438])).
% 5.08/3.75 tff(6443,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6444,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6445,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 5.08/3.75 tff(6446,plain,
% 5.08/3.75 (~node10(s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6445, 372, 6438])).
% 5.08/3.75 tff(6447,plain,
% 5.08/3.75 (((~![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)))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6448,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6449,plain,
% 5.08/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 5.08/3.75 tff(6450,plain,
% 5.08/3.75 (~node8(s75)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6449, 383, 6438])).
% 5.08/3.75 tff(6451,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6452,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6453,plain,
% 5.08/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 5.08/3.75 tff(6454,plain,
% 5.08/3.75 (node14(s75, s76)),
% 5.08/3.75 inference(unit_resolution,[status(thm)],[6453, 130, 6385])).
% 5.08/3.75 tff(6455,plain,
% 5.08/3.75 (((~![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))),
% 5.08/3.75 inference(rewrite,[status(thm)],[])).
% 5.08/3.75 tff(6456,plain,
% 5.08/3.75 ((~![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))),
% 5.08/3.75 inference(quant_inst,[status(thm)],[])).
% 5.08/3.75 tff(6457,plain,
% 5.08/3.75 ((~![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)),
% 5.08/3.75 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 5.08/3.75 tff(6458,plain,
% 5.08/3.75 ((~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)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6457, 704, 6454])).
% 5.08/3.76 tff(6459,plain,
% 5.08/3.76 (m_main_v_state2(s76, c_c2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6458, 6450, 6322, 6378, 6446, 6442])).
% 5.08/3.76 tff(6460,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6461,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6462,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 5.08/3.76 tff(6463,plain,
% 5.08/3.76 (~m_main_v_state2(s76, c_n2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6462, 716, 6459])).
% 5.08/3.76 tff(6464,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6465,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6466,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 5.08/3.76 tff(6467,plain,
% 5.08/3.76 (~node4(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6466, 162, 6463])).
% 5.08/3.76 tff(6468,plain,
% 5.08/3.76 (succ(s76, s77) <=> succ(s76, s77)),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6469,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 5.08/3.76 tff(6470,plain,
% 5.08/3.76 (succ(s76, s77)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 5.08/3.76 tff(6471,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6472,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6473,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6472, 6471])).
% 5.08/3.76 tff(6474,plain,
% 5.08/3.76 (trans(s76, s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6473, 6470, 57])).
% 5.08/3.76 tff(6475,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6476,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6477,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 5.08/3.76 tff(6478,plain,
% 5.08/3.76 (node7(s76, s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6477, 217, 6474])).
% 5.08/3.76 tff(6479,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6480,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6481,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 5.08/3.76 tff(6482,plain,
% 5.08/3.76 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6481, 745, 6478])).
% 5.08/3.76 tff(6483,plain,
% 5.08/3.76 (node6(s76, s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6482, 6467, 6431, 6427, 6423, 6419, 6402])).
% 5.08/3.76 tff(6484,plain,
% 5.08/3.76 (((~![V: $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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6485,plain,
% 5.08/3.76 (((~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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6486,plain,
% 5.08/3.76 (((~![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))))),
% 5.08/3.76 inference(monotonicity,[status(thm)],[6485])).
% 5.08/3.76 tff(6487,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(transitivity,[status(thm)],[6486, 6484])).
% 5.08/3.76 tff(6488,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6489,plain,
% 5.08/3.76 ((~![V: $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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 5.08/3.76 tff(6490,plain,
% 5.08/3.76 (m_main_v_state1(s77, c_t1)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6489, 760, 6394, 6483])).
% 5.08/3.76 tff(6491,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6492,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6493,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 5.08/3.76 tff(6494,plain,
% 5.08/3.76 (~m_main_v_state2(s76, c_t2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6493, 173, 6459])).
% 5.08/3.76 tff(6495,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6496,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6497,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 5.08/3.76 tff(6498,plain,
% 5.08/3.76 (~node12(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6497, 778, 6494])).
% 5.08/3.76 tff(6499,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6500,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6501,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 5.08/3.76 tff(6502,plain,
% 5.08/3.76 (~node11(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6501, 361, 6398])).
% 5.08/3.76 tff(6503,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6504,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6505,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 5.08/3.76 tff(6506,plain,
% 5.08/3.76 (~node10(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6505, 793, 6431])).
% 5.08/3.76 tff(6507,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6508,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6509,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 5.08/3.76 tff(6510,plain,
% 5.08/3.76 (~node9(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6509, 804, 6398])).
% 5.08/3.76 tff(6511,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6512,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6513,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 5.08/3.76 tff(6514,plain,
% 5.08/3.76 (~node8(s76)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6513, 383, 6463])).
% 5.08/3.76 tff(6515,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6516,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6517,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 5.08/3.76 tff(6518,plain,
% 5.08/3.76 (node14(s76, s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6517, 130, 6474])).
% 5.08/3.76 tff(6519,plain,
% 5.08/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6520,plain,
% 5.08/3.76 (((~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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6521,plain,
% 5.08/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.08/3.76 inference(monotonicity,[status(thm)],[6520])).
% 5.08/3.76 tff(6522,plain,
% 5.08/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.08/3.76 inference(transitivity,[status(thm)],[6521, 6519])).
% 5.08/3.76 tff(6523,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6524,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 5.08/3.76 tff(6525,plain,
% 5.08/3.76 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6524, 826, 6518])).
% 5.08/3.76 tff(6526,plain,
% 5.08/3.76 (m_main_v_state2(s77, c_n2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6525, 6514, 6459, 6510, 6506, 6502, 6498])).
% 5.08/3.76 tff(6527,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6528,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6529,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 5.08/3.76 tff(6530,plain,
% 5.08/3.76 (~m_main_v_state2(s77, c_t2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6529, 10, 6526])).
% 5.08/3.76 tff(6531,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6532,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6533,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 5.08/3.76 tff(6534,plain,
% 5.08/3.76 (~node15(s77)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6533, 21, 6530])).
% 5.08/3.76 tff(6535,plain,
% 5.08/3.76 (succ(s77, s78) <=> succ(s77, s78)),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6536,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 5.08/3.76 tff(6537,plain,
% 5.08/3.76 (succ(s77, s78)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 5.08/3.76 tff(6538,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6539,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6540,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6539, 6538])).
% 5.08/3.76 tff(6541,plain,
% 5.08/3.76 (trans(s77, s78)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6540, 6537, 57])).
% 5.08/3.76 tff(6542,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6543,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6544,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 5.08/3.76 tff(6545,plain,
% 5.08/3.76 (node18(s77, s78)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6544, 71, 6541])).
% 5.08/3.76 tff(6546,plain,
% 5.08/3.76 (((~![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(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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6547,plain,
% 5.08/3.76 (((~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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6548,plain,
% 5.08/3.76 (((~![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(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)))),
% 5.08/3.76 inference(monotonicity,[status(thm)],[6547])).
% 5.08/3.76 tff(6549,plain,
% 5.08/3.76 (((~![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(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))),
% 5.08/3.76 inference(transitivity,[status(thm)],[6548, 6546])).
% 5.08/3.76 tff(6550,plain,
% 5.08/3.76 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6551,plain,
% 5.08/3.76 ((~![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(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)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 5.08/3.76 tff(6552,plain,
% 5.08/3.76 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6551, 863, 6545])).
% 5.08/3.76 tff(6553,plain,
% 5.08/3.76 (m_main_v_turn(s78, c_1)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6552, 6534, 6526, 6490])).
% 5.08/3.76 tff(6554,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6555,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6556,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 5.08/3.76 tff(6557,plain,
% 5.08/3.76 (~m_main_v_turn(s78, c_2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6556, 322, 6553])).
% 5.08/3.76 tff(6558,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6559,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6560,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 5.08/3.76 tff(6561,plain,
% 5.08/3.76 (~node12(s78)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6560, 350, 6557])).
% 5.08/3.76 tff(6562,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6563,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6564,plain,
% 5.08/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 5.08/3.76 tff(6565,plain,
% 5.08/3.76 (node14(s77, s78)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6564, 130, 6541])).
% 5.08/3.76 tff(6566,plain,
% 5.08/3.76 (((~![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))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6567,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6568,plain,
% 5.08/3.76 ((~![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)),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 5.08/3.76 tff(6569,plain,
% 5.08/3.76 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6568, 893, 6565])).
% 5.08/3.76 tff(6570,plain,
% 5.08/3.76 (m_main_v_state2(s78, c_t2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6569, 6490, 6526])).
% 5.08/3.76 tff(6571,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6572,plain,
% 5.08/3.76 ((~![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)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6573,plain,
% 5.08/3.76 ((~![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))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 5.08/3.76 tff(6574,plain,
% 5.08/3.76 (~m_main_v_state2(s78, c_n2)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6573, 10, 6570])).
% 5.08/3.76 tff(6575,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6576,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6577,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 5.08/3.76 tff(6578,plain,
% 5.08/3.76 (~node8(s78)),
% 5.08/3.76 inference(unit_resolution,[status(thm)],[6577, 383, 6574])).
% 5.08/3.76 tff(6579,plain,
% 5.08/3.76 (((~![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)))),
% 5.08/3.76 inference(rewrite,[status(thm)],[])).
% 5.08/3.76 tff(6580,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 5.08/3.76 inference(quant_inst,[status(thm)],[])).
% 5.08/3.76 tff(6581,plain,
% 5.08/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 5.08/3.76 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 5.08/3.76 tff(6582,plain,
% 5.08/3.76 (~node9(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6581, 311, 6574])).
% 5.08/3.77 tff(6583,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6584,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6585,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6584, 6583])).
% 5.08/3.77 tff(6586,plain,
% 5.08/3.77 (~node10(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6585, 372, 6574])).
% 5.08/3.77 tff(6587,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6588,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6589,plain,
% 5.08/3.77 ((~![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))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 5.08/3.77 tff(6590,plain,
% 5.08/3.77 (~m_main_v_state2(s78, c_c2)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6589, 173, 6570])).
% 5.08/3.77 tff(6591,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6592,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6593,plain,
% 5.08/3.77 ((~![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))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 5.08/3.77 tff(6594,plain,
% 5.08/3.77 (~m_main_v_state2(s77, c_c2)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6593, 716, 6526])).
% 5.08/3.77 tff(6595,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6596,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6597,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 5.08/3.77 tff(6598,plain,
% 5.08/3.77 (~node3(s77)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6597, 184, 6594])).
% 5.08/3.77 tff(6599,plain,
% 5.08/3.77 (((~![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(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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6600,plain,
% 5.08/3.77 (((~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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6601,plain,
% 5.08/3.77 (((~![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))))),
% 5.08/3.77 inference(monotonicity,[status(thm)],[6600])).
% 5.08/3.77 tff(6602,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(transitivity,[status(thm)],[6601, 6599])).
% 5.08/3.77 tff(6603,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6604,plain,
% 5.08/3.77 ((~![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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 5.08/3.77 tff(6605,plain,
% 5.08/3.77 (~m_main_v_state1(s77, c_n1)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6604, 936, 6398, 6483])).
% 5.08/3.77 tff(6606,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6607,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6608,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 5.08/3.77 tff(6609,plain,
% 5.08/3.77 (~node2(s77)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6608, 652, 6605])).
% 5.08/3.77 tff(6610,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6611,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6612,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 5.08/3.77 tff(6613,plain,
% 5.08/3.77 (~node1(s77)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6612, 206, 6530])).
% 5.08/3.77 tff(6614,plain,
% 5.08/3.77 (((~![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))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6615,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6616,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 5.08/3.77 tff(6617,plain,
% 5.08/3.77 (node7(s77, s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6616, 217, 6541])).
% 5.08/3.77 tff(6618,plain,
% 5.08/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6619,plain,
% 5.08/3.77 (((~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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6620,plain,
% 5.08/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.08/3.77 inference(monotonicity,[status(thm)],[6619])).
% 5.08/3.77 tff(6621,plain,
% 5.08/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.08/3.77 inference(transitivity,[status(thm)],[6620, 6618])).
% 5.08/3.77 tff(6622,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6623,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 5.08/3.77 tff(6624,plain,
% 5.08/3.77 ((~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)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6623, 965, 6617])).
% 5.08/3.77 tff(6625,plain,
% 5.08/3.77 (m_main_v_state1(s78, c_c1)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6624, 6613, 6526, 6490, 6609, 6598])).
% 5.08/3.77 tff(6626,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6627,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6628,plain,
% 5.08/3.77 ((~![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))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 5.08/3.77 tff(6629,plain,
% 5.08/3.77 (~m_main_v_state1(s78, c_n1)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6628, 449, 6625])).
% 5.08/3.77 tff(6630,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6631,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6632,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 5.08/3.77 tff(6633,plain,
% 5.08/3.77 (~node11(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6632, 361, 6629])).
% 5.08/3.77 tff(6634,plain,
% 5.08/3.77 (succ(s78, s79) <=> succ(s78, s79)),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6635,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 5.08/3.77 tff(6636,plain,
% 5.08/3.77 (succ(s78, s79)),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 5.08/3.77 tff(6637,plain,
% 5.08/3.77 (((~![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))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6638,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6639,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 5.08/3.77 tff(6640,plain,
% 5.08/3.77 (trans(s78, s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6639, 6636, 57])).
% 5.08/3.77 tff(6641,plain,
% 5.08/3.77 (((~![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))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6642,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6643,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 5.08/3.77 tff(6644,plain,
% 5.08/3.77 (node14(s78, s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6643, 130, 6640])).
% 5.08/3.77 tff(6645,plain,
% 5.08/3.77 (((~![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(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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6646,plain,
% 5.08/3.77 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6647,plain,
% 5.08/3.77 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 5.08/3.77 tff(6648,plain,
% 5.08/3.77 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6647, 401, 6644])).
% 5.08/3.77 tff(6649,plain,
% 5.08/3.77 (node13(s78, s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6648, 6633, 6590, 6586, 6582, 6578, 6561])).
% 5.08/3.77 tff(6650,plain,
% 5.08/3.77 (((~![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(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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6651,plain,
% 5.08/3.77 (((~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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6652,plain,
% 5.08/3.77 (((~![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))))),
% 5.08/3.77 inference(monotonicity,[status(thm)],[6651])).
% 5.08/3.77 tff(6653,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(transitivity,[status(thm)],[6652, 6650])).
% 5.08/3.77 tff(6654,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6655,plain,
% 5.08/3.77 ((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 5.08/3.77 tff(6656,plain,
% 5.08/3.77 (~m_main_v_state2(s79, c_n2)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6655, 416, 6574, 6649])).
% 5.08/3.77 tff(6657,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6658,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6659,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 5.08/3.77 tff(6660,plain,
% 5.08/3.77 (~node9(s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6659, 311, 6656])).
% 5.08/3.77 tff(6661,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6662,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6663,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 5.08/3.77 tff(6664,plain,
% 5.08/3.77 (~node10(s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6663, 372, 6656])).
% 5.08/3.77 tff(6665,plain,
% 5.08/3.77 (((~![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(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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6666,plain,
% 5.08/3.77 (((~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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6667,plain,
% 5.08/3.77 (((~![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))))),
% 5.08/3.77 inference(monotonicity,[status(thm)],[6666])).
% 5.08/3.77 tff(6668,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(transitivity,[status(thm)],[6667, 6665])).
% 5.08/3.77 tff(6669,plain,
% 5.08/3.77 ((~![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))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6670,plain,
% 5.08/3.77 ((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 5.08/3.77 tff(6671,plain,
% 5.08/3.77 (m_main_v_state2(s79, c_t2)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6670, 563, 6570, 6649])).
% 5.08/3.77 tff(6672,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6673,plain,
% 5.08/3.77 ((~![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)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6674,plain,
% 5.08/3.77 ((~![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))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 5.08/3.77 tff(6675,plain,
% 5.08/3.77 (~m_main_v_state1(s78, c_t1)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6674, 289, 6625])).
% 5.08/3.77 tff(6676,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6677,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6678,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 5.08/3.77 tff(6679,plain,
% 5.08/3.77 (~node5(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6678, 300, 6675])).
% 5.08/3.77 tff(6680,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6681,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6682,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 5.08/3.77 tff(6683,plain,
% 5.08/3.77 (~node4(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6682, 162, 6574])).
% 5.08/3.77 tff(6684,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6685,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6686,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 5.08/3.77 tff(6687,plain,
% 5.08/3.77 (~node3(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6686, 184, 6590])).
% 5.08/3.77 tff(6688,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6689,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6690,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 5.08/3.77 tff(6691,plain,
% 5.08/3.77 (~node2(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6690, 195, 6574])).
% 5.08/3.77 tff(6692,plain,
% 5.08/3.77 (((~![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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6693,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6694,plain,
% 5.08/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 5.08/3.77 tff(6695,plain,
% 5.08/3.77 (~node1(s78)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6694, 249, 6629])).
% 5.08/3.77 tff(6696,plain,
% 5.08/3.77 (((~![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))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6697,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 5.08/3.77 inference(quant_inst,[status(thm)],[])).
% 5.08/3.77 tff(6698,plain,
% 5.08/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 5.08/3.77 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 5.08/3.77 tff(6699,plain,
% 5.08/3.77 (node7(s78, s79)),
% 5.08/3.77 inference(unit_resolution,[status(thm)],[6698, 217, 6640])).
% 5.08/3.77 tff(6700,plain,
% 5.08/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6701,plain,
% 5.08/3.77 (((~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)))),
% 5.08/3.77 inference(rewrite,[status(thm)],[])).
% 5.08/3.77 tff(6702,plain,
% 5.08/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.08/3.78 inference(monotonicity,[status(thm)],[6701])).
% 5.08/3.78 tff(6703,plain,
% 5.08/3.78 (((~![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(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)))),
% 5.08/3.78 inference(transitivity,[status(thm)],[6702, 6700])).
% 5.08/3.78 tff(6704,plain,
% 5.08/3.78 ((~![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(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6705,plain,
% 5.08/3.78 ((~![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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 5.08/3.78 tff(6706,plain,
% 5.08/3.78 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6705, 478, 6699])).
% 5.08/3.78 tff(6707,plain,
% 5.08/3.78 (m_main_v_state1(s79, c_n1)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6706, 6695, 6625, 6691, 6687, 6683, 6679])).
% 5.08/3.78 tff(6708,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6709,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6710,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 5.08/3.78 tff(6711,plain,
% 5.08/3.78 (~node8(s79)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6710, 383, 6656])).
% 5.08/3.78 tff(6712,plain,
% 5.08/3.78 (succ(s79, s80) <=> succ(s79, s80)),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6713,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 5.08/3.78 tff(6714,plain,
% 5.08/3.78 (succ(s79, s80)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 5.08/3.78 tff(6715,plain,
% 5.08/3.78 (((~![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))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6716,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6717,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 5.08/3.78 tff(6718,plain,
% 5.08/3.78 (trans(s79, s80)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6717, 6714, 57])).
% 5.08/3.78 tff(6719,plain,
% 5.08/3.78 (((~![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))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6720,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6721,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 5.08/3.78 tff(6722,plain,
% 5.08/3.78 (node14(s79, s80)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6721, 130, 6718])).
% 5.08/3.78 tff(6723,plain,
% 5.08/3.78 (((~![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(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))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6724,plain,
% 5.08/3.78 ((~![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(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))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6725,plain,
% 5.08/3.78 ((~![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(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)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 5.08/3.78 tff(6726,plain,
% 5.08/3.78 ((~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)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6725, 704, 6722])).
% 5.08/3.78 tff(6727,plain,
% 5.08/3.78 (m_main_v_state2(s80, c_c2)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6726, 6711, 6707, 6671, 6664, 6660])).
% 5.08/3.78 tff(6728,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6729,plain,
% 5.08/3.78 ((~![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)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6730,plain,
% 5.08/3.78 ((~![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))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 5.08/3.78 tff(6731,plain,
% 5.08/3.78 (~m_main_v_state2(s80, c_t2)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6730, 173, 6727])).
% 5.08/3.78 tff(6732,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6733,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6734,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 5.08/3.78 tff(6735,plain,
% 5.08/3.78 (~node12(s80)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6734, 778, 6731])).
% 5.08/3.78 tff(6736,plain,
% 5.08/3.78 (((~![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))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6737,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6738,plain,
% 5.08/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 5.08/3.78 tff(6739,plain,
% 5.08/3.78 (node7(s79, s80)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6738, 217, 6718])).
% 5.08/3.78 tff(6740,plain,
% 5.08/3.78 (((~![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(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))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6741,plain,
% 5.08/3.78 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6742,plain,
% 5.08/3.78 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1)),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 5.08/3.78 tff(6743,plain,
% 5.08/3.78 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6742, 598, 6739])).
% 5.08/3.78 tff(6744,plain,
% 5.08/3.78 (m_main_v_state1(s80, c_t1)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6743, 6671, 6707])).
% 5.08/3.78 tff(6745,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6746,plain,
% 5.08/3.78 ((~![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)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6747,plain,
% 5.08/3.78 ((~![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))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 5.08/3.78 tff(6748,plain,
% 5.08/3.78 (~m_main_v_state1(s80, c_n1)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6747, 35, 6744])).
% 5.08/3.78 tff(6749,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6750,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6751,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 5.08/3.78 tff(6752,plain,
% 5.08/3.78 (~node11(s80)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6751, 361, 6748])).
% 5.08/3.78 tff(6753,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6754,plain,
% 5.08/3.78 ((~![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)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6755,plain,
% 5.08/3.78 ((~![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))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 5.08/3.78 tff(6756,plain,
% 5.08/3.78 (~m_main_v_state1(s80, c_c1)),
% 5.08/3.78 inference(unit_resolution,[status(thm)],[6755, 289, 6744])).
% 5.08/3.78 tff(6757,plain,
% 5.08/3.78 (((~![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)))),
% 5.08/3.78 inference(rewrite,[status(thm)],[])).
% 5.08/3.78 tff(6758,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 5.08/3.78 inference(quant_inst,[status(thm)],[])).
% 5.08/3.78 tff(6759,plain,
% 5.08/3.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 5.08/3.78 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 5.08/3.78 tff(6760,plain,
% 5.15/3.78 (~node10(s80)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6759, 793, 6756])).
% 5.15/3.78 tff(6761,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6762,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6763,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 5.15/3.78 tff(6764,plain,
% 5.15/3.78 (~node9(s80)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6763, 804, 6748])).
% 5.15/3.78 tff(6765,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6766,plain,
% 5.15/3.78 ((~![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)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6767,plain,
% 5.15/3.78 ((~![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))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 5.15/3.78 tff(6768,plain,
% 5.15/3.78 (~m_main_v_state2(s80, c_n2)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6767, 716, 6727])).
% 5.15/3.78 tff(6769,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6770,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6771,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 5.15/3.78 tff(6772,plain,
% 5.15/3.78 (~node8(s80)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6771, 383, 6768])).
% 5.15/3.78 tff(6773,plain,
% 5.15/3.78 (succ(s80, s81) <=> succ(s80, s81)),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6774,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 5.15/3.78 tff(6775,plain,
% 5.15/3.78 (succ(s80, s81)),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 5.15/3.78 tff(6776,plain,
% 5.15/3.78 (((~![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))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6777,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6778,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 5.15/3.78 tff(6779,plain,
% 5.15/3.78 (trans(s80, s81)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6778, 6775, 57])).
% 5.15/3.78 tff(6780,plain,
% 5.15/3.78 (((~![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))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6781,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6782,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 5.15/3.78 tff(6783,plain,
% 5.15/3.78 (node14(s80, s81)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6782, 130, 6779])).
% 5.15/3.78 tff(6784,plain,
% 5.15/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6785,plain,
% 5.15/3.78 (((~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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6786,plain,
% 5.15/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.15/3.78 inference(monotonicity,[status(thm)],[6785])).
% 5.15/3.78 tff(6787,plain,
% 5.15/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.78 inference(transitivity,[status(thm)],[6786, 6784])).
% 5.15/3.78 tff(6788,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6789,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6788, 6787])).
% 5.15/3.78 tff(6790,plain,
% 5.15/3.78 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6789, 826, 6783])).
% 5.15/3.78 tff(6791,plain,
% 5.15/3.78 (m_main_v_state2(s81, c_n2)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6790, 6772, 6727, 6764, 6760, 6752, 6735])).
% 5.15/3.78 tff(6792,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6793,plain,
% 5.15/3.78 ((~![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)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6794,plain,
% 5.15/3.78 ((~![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))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 5.15/3.78 tff(6795,plain,
% 5.15/3.78 (~m_main_v_state2(s81, c_c2)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6794, 716, 6791])).
% 5.15/3.78 tff(6796,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6797,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6798,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 5.15/3.78 tff(6799,plain,
% 5.15/3.78 (~node3(s81)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6798, 184, 6795])).
% 5.15/3.78 tff(6800,plain,
% 5.15/3.78 (((~![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)))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6801,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6802,plain,
% 5.15/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 5.15/3.78 tff(6803,plain,
% 5.15/3.78 (~node1(s80)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6802, 249, 6748])).
% 5.15/3.78 tff(6804,plain,
% 5.15/3.78 (((~![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))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.78 tff(6805,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 5.15/3.78 inference(quant_inst,[status(thm)],[])).
% 5.15/3.78 tff(6806,plain,
% 5.15/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 5.15/3.78 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 5.15/3.78 tff(6807,plain,
% 5.15/3.78 (node18(s79, s80)),
% 5.15/3.78 inference(unit_resolution,[status(thm)],[6806, 71, 6718])).
% 5.15/3.78 tff(6808,plain,
% 5.15/3.78 (((~![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))),
% 5.15/3.78 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6809,plain,
% 5.15/3.79 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6810,plain,
% 5.15/3.79 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 5.15/3.79 tff(6811,plain,
% 5.15/3.79 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6810, 625, 6807])).
% 5.15/3.79 tff(6812,plain,
% 5.15/3.79 (m_main_v_turn(s80, c_2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6811, 6671, 6707])).
% 5.15/3.79 tff(6813,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6814,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6815,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 5.15/3.79 tff(6816,plain,
% 5.15/3.79 (~m_main_v_turn(s80, c_1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6815, 322, 6812])).
% 5.15/3.79 tff(6817,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6818,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6819,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 5.15/3.79 tff(6820,plain,
% 5.15/3.79 (~node5(s80)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6819, 641, 6816])).
% 5.15/3.79 tff(6821,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6822,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6823,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 5.15/3.79 tff(6824,plain,
% 5.15/3.79 (~node2(s80)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6823, 652, 6748])).
% 5.15/3.79 tff(6825,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6826,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6827,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 5.15/3.79 tff(6828,plain,
% 5.15/3.79 (~node3(s80)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6827, 663, 6748])).
% 5.15/3.79 tff(6829,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6830,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6831,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 5.15/3.79 tff(6832,plain,
% 5.15/3.79 (~node4(s80)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6831, 162, 6768])).
% 5.15/3.79 tff(6833,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6834,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6835,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 5.15/3.79 tff(6836,plain,
% 5.15/3.79 (node7(s80, s81)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6835, 217, 6779])).
% 5.15/3.79 tff(6837,plain,
% 5.15/3.79 (((~![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(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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6838,plain,
% 5.15/3.79 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6839,plain,
% 5.15/3.79 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 5.15/3.79 tff(6840,plain,
% 5.15/3.79 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6839, 745, 6836])).
% 5.15/3.79 tff(6841,plain,
% 5.15/3.79 (node6(s80, s81)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6840, 6832, 6756, 6828, 6824, 6820, 6803])).
% 5.15/3.79 tff(6842,plain,
% 5.15/3.79 (((~![V: $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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6843,plain,
% 5.15/3.79 (((~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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6844,plain,
% 5.15/3.79 (((~![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))))),
% 5.15/3.79 inference(monotonicity,[status(thm)],[6843])).
% 5.15/3.79 tff(6845,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(transitivity,[status(thm)],[6844, 6842])).
% 5.15/3.79 tff(6846,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6847,plain,
% 5.15/3.79 ((~![V: $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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 5.15/3.79 tff(6848,plain,
% 5.15/3.79 (~m_main_v_state1(s81, c_n1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6847, 936, 6748, 6841])).
% 5.15/3.79 tff(6849,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6850,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6851,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 5.15/3.79 tff(6852,plain,
% 5.15/3.79 (~node2(s81)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6851, 652, 6848])).
% 5.15/3.79 tff(6853,plain,
% 5.15/3.79 (((~![V: $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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6854,plain,
% 5.15/3.79 (((~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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6855,plain,
% 5.15/3.79 (((~![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))))),
% 5.15/3.79 inference(monotonicity,[status(thm)],[6854])).
% 5.15/3.79 tff(6856,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(transitivity,[status(thm)],[6855, 6853])).
% 5.15/3.79 tff(6857,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6858,plain,
% 5.15/3.79 ((~![V: $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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 5.15/3.79 tff(6859,plain,
% 5.15/3.79 (m_main_v_state1(s81, c_t1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6858, 760, 6744, 6841])).
% 5.15/3.79 tff(6860,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6861,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6862,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 5.15/3.79 tff(6863,plain,
% 5.15/3.79 (~m_main_v_state2(s81, c_t2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6862, 10, 6791])).
% 5.15/3.79 tff(6864,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6865,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6866,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 5.15/3.79 tff(6867,plain,
% 5.15/3.79 (~node1(s81)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6866, 206, 6863])).
% 5.15/3.79 tff(6868,plain,
% 5.15/3.79 (succ(s81, s82) <=> succ(s81, s82)),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6869,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 5.15/3.79 tff(6870,plain,
% 5.15/3.79 (succ(s81, s82)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 5.15/3.79 tff(6871,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6872,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6873,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 5.15/3.79 tff(6874,plain,
% 5.15/3.79 (trans(s81, s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6873, 6870, 57])).
% 5.15/3.79 tff(6875,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6876,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6877,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6876, 6875])).
% 5.15/3.79 tff(6878,plain,
% 5.15/3.79 (node7(s81, s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6877, 217, 6874])).
% 5.15/3.79 tff(6879,plain,
% 5.15/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6880,plain,
% 5.15/3.79 (((~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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6881,plain,
% 5.15/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.15/3.79 inference(monotonicity,[status(thm)],[6880])).
% 5.15/3.79 tff(6882,plain,
% 5.15/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.15/3.79 inference(transitivity,[status(thm)],[6881, 6879])).
% 5.15/3.79 tff(6883,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6884,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 5.15/3.79 tff(6885,plain,
% 5.15/3.79 ((~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)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6884, 965, 6878])).
% 5.15/3.79 tff(6886,plain,
% 5.15/3.79 (m_main_v_state1(s82, c_c1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6885, 6867, 6791, 6859, 6852, 6799])).
% 5.15/3.79 tff(6887,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6888,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6889,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 5.15/3.79 tff(6890,plain,
% 5.15/3.79 (~m_main_v_state1(s82, c_t1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6889, 289, 6886])).
% 5.15/3.79 tff(6891,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6892,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6893,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 5.15/3.79 tff(6894,plain,
% 5.15/3.79 (~node5(s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6893, 300, 6890])).
% 5.15/3.79 tff(6895,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6896,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6897,plain,
% 5.15/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 5.15/3.79 tff(6898,plain,
% 5.15/3.79 (node14(s81, s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6897, 130, 6874])).
% 5.15/3.79 tff(6899,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6900,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6901,plain,
% 5.15/3.79 ((~![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)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 5.15/3.79 tff(6902,plain,
% 5.15/3.79 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6901, 893, 6898])).
% 5.15/3.79 tff(6903,plain,
% 5.15/3.79 (m_main_v_state2(s82, c_t2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6902, 6859, 6791])).
% 5.15/3.79 tff(6904,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6905,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6906,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 5.15/3.79 tff(6907,plain,
% 5.15/3.79 (~m_main_v_state2(s82, c_n2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6906, 10, 6903])).
% 5.15/3.79 tff(6908,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6909,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6910,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 5.15/3.79 tff(6911,plain,
% 5.15/3.79 (~node4(s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6910, 162, 6907])).
% 5.15/3.79 tff(6912,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6913,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6914,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 5.15/3.79 tff(6915,plain,
% 5.15/3.79 (~m_main_v_state2(s82, c_c2)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6914, 173, 6903])).
% 5.15/3.79 tff(6916,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6917,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6918,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 5.15/3.79 tff(6919,plain,
% 5.15/3.79 (~node3(s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6918, 184, 6915])).
% 5.15/3.79 tff(6920,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6921,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6922,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 5.15/3.79 tff(6923,plain,
% 5.15/3.79 (~node2(s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6922, 195, 6907])).
% 5.15/3.79 tff(6924,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6925,plain,
% 5.15/3.79 ((~![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)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6926,plain,
% 5.15/3.79 ((~![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))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 5.15/3.79 tff(6927,plain,
% 5.15/3.79 (~m_main_v_state1(s82, c_n1)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6926, 449, 6886])).
% 5.15/3.79 tff(6928,plain,
% 5.15/3.79 (((~![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)))),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6929,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 5.15/3.79 inference(quant_inst,[status(thm)],[])).
% 5.15/3.79 tff(6930,plain,
% 5.15/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 5.15/3.79 tff(6931,plain,
% 5.15/3.79 (~node1(s82)),
% 5.15/3.79 inference(unit_resolution,[status(thm)],[6930, 249, 6927])).
% 5.15/3.79 tff(6932,plain,
% 5.15/3.79 (succ(s82, s83) <=> succ(s82, s83)),
% 5.15/3.79 inference(rewrite,[status(thm)],[])).
% 5.15/3.79 tff(6933,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 5.15/3.79 tff(6934,plain,
% 5.15/3.79 (succ(s82, s83)),
% 5.15/3.79 inference(modus_ponens,[status(thm)],[6933, 6932])).
% 5.15/3.79 tff(6935,plain,
% 5.15/3.79 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6936,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6937,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 5.15/3.80 tff(6938,plain,
% 5.15/3.80 (trans(s82, s83)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6937, 6934, 57])).
% 5.15/3.80 tff(6939,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6940,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6941,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6940, 6939])).
% 5.15/3.80 tff(6942,plain,
% 5.15/3.80 (node7(s82, s83)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6941, 217, 6938])).
% 5.15/3.80 tff(6943,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6944,plain,
% 5.15/3.80 (((~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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6945,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.15/3.80 inference(monotonicity,[status(thm)],[6944])).
% 5.15/3.80 tff(6946,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.80 inference(transitivity,[status(thm)],[6945, 6943])).
% 5.15/3.80 tff(6947,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6948,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 5.15/3.80 tff(6949,plain,
% 5.15/3.80 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6948, 478, 6942])).
% 5.15/3.80 tff(6950,plain,
% 5.15/3.80 (m_main_v_state1(s83, c_n1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6949, 6931, 6886, 6923, 6919, 6911, 6894])).
% 5.15/3.80 tff(6951,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6952,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6953,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 5.15/3.80 tff(6954,plain,
% 5.15/3.80 (~node15(s81)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6953, 21, 6863])).
% 5.15/3.80 tff(6955,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6956,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6957,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 5.15/3.80 tff(6958,plain,
% 5.15/3.80 (node18(s81, s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6957, 71, 6874])).
% 5.15/3.80 tff(6959,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6960,plain,
% 5.15/3.80 (((~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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6961,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.15/3.80 inference(monotonicity,[status(thm)],[6960])).
% 5.15/3.80 tff(6962,plain,
% 5.15/3.80 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.80 inference(transitivity,[status(thm)],[6961, 6959])).
% 5.15/3.80 tff(6963,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6964,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 5.15/3.80 tff(6965,plain,
% 5.15/3.80 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6964, 863, 6958])).
% 5.15/3.80 tff(6966,plain,
% 5.15/3.80 (m_main_v_turn(s82, c_1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6965, 6954, 6791, 6859])).
% 5.15/3.80 tff(6967,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6968,plain,
% 5.15/3.80 ((~![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)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6969,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 5.15/3.80 tff(6970,plain,
% 5.15/3.80 (~m_main_v_turn(s82, c_2)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6969, 322, 6966])).
% 5.15/3.80 tff(6971,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6972,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6973,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 5.15/3.80 tff(6974,plain,
% 5.15/3.80 (~node12(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6973, 350, 6970])).
% 5.15/3.80 tff(6975,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6976,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6977,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 5.15/3.80 tff(6978,plain,
% 5.15/3.80 (~node8(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6977, 383, 6907])).
% 5.15/3.80 tff(6979,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6980,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6981,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 5.15/3.80 tff(6982,plain,
% 5.15/3.80 (~node9(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6981, 311, 6907])).
% 5.15/3.80 tff(6983,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6984,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6985,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 5.15/3.80 tff(6986,plain,
% 5.15/3.80 (~node10(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6985, 372, 6907])).
% 5.15/3.80 tff(6987,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6988,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6989,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 5.15/3.80 tff(6990,plain,
% 5.15/3.80 (~node11(s82)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6989, 361, 6927])).
% 5.15/3.80 tff(6991,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6992,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6993,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 5.15/3.80 tff(6994,plain,
% 5.15/3.80 (node14(s82, s83)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6993, 130, 6938])).
% 5.15/3.80 tff(6995,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(6996,plain,
% 5.15/3.80 ((~![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)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(6997,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 5.15/3.80 tff(6998,plain,
% 5.15/3.80 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6997, 401, 6994])).
% 5.15/3.80 tff(6999,plain,
% 5.15/3.80 (node13(s82, s83)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[6998, 6990, 6915, 6986, 6982, 6978, 6974])).
% 5.15/3.80 tff(7000,plain,
% 5.15/3.80 (((~![V: $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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7001,plain,
% 5.15/3.80 (((~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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7002,plain,
% 5.15/3.80 (((~![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))))),
% 5.15/3.80 inference(monotonicity,[status(thm)],[7001])).
% 5.15/3.80 tff(7003,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(transitivity,[status(thm)],[7002, 7000])).
% 5.15/3.80 tff(7004,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7005,plain,
% 5.15/3.80 ((~![V: $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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 5.15/3.80 tff(7006,plain,
% 5.15/3.80 (m_main_v_state2(s83, c_t2)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7005, 563, 6903, 6999])).
% 5.15/3.80 tff(7007,plain,
% 5.15/3.80 (succ(s83, s84) <=> succ(s83, s84)),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7008,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 5.15/3.80 tff(7009,plain,
% 5.15/3.80 (succ(s83, s84)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 5.15/3.80 tff(7010,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7011,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7012,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 5.15/3.80 tff(7013,plain,
% 5.15/3.80 (trans(s83, s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7012, 7009, 57])).
% 5.15/3.80 tff(7014,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7015,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7016,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 5.15/3.80 tff(7017,plain,
% 5.15/3.80 (node7(s83, s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7016, 217, 7013])).
% 5.15/3.80 tff(7018,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7019,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7020,plain,
% 5.15/3.80 ((~![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)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 5.15/3.80 tff(7021,plain,
% 5.15/3.80 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7020, 598, 7017])).
% 5.15/3.80 tff(7022,plain,
% 5.15/3.80 (m_main_v_state1(s84, c_t1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7021, 7006, 6950])).
% 5.15/3.80 tff(7023,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7024,plain,
% 5.15/3.80 ((~![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)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7025,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 5.15/3.80 tff(7026,plain,
% 5.15/3.80 (~m_main_v_state1(s84, c_n1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7025, 35, 7022])).
% 5.15/3.80 tff(7027,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7028,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7029,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 5.15/3.80 tff(7030,plain,
% 5.15/3.80 (~node1(s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7029, 249, 7026])).
% 5.15/3.80 tff(7031,plain,
% 5.15/3.80 (((~![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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7032,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7033,plain,
% 5.15/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 5.15/3.80 tff(7034,plain,
% 5.15/3.80 (node18(s83, s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7033, 71, 7013])).
% 5.15/3.80 tff(7035,plain,
% 5.15/3.80 (((~![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(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))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7036,plain,
% 5.15/3.80 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7037,plain,
% 5.15/3.80 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 5.15/3.80 tff(7038,plain,
% 5.15/3.80 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7037, 625, 7034])).
% 5.15/3.80 tff(7039,plain,
% 5.15/3.80 (m_main_v_turn(s84, c_2)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7038, 7006, 6950])).
% 5.15/3.80 tff(7040,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7041,plain,
% 5.15/3.80 ((~![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)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7042,plain,
% 5.15/3.80 ((~![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))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 5.15/3.80 tff(7043,plain,
% 5.15/3.80 (~m_main_v_turn(s84, c_1)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7042, 322, 7039])).
% 5.15/3.80 tff(7044,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7045,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7046,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 5.15/3.80 tff(7047,plain,
% 5.15/3.80 (~node5(s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7046, 641, 7043])).
% 5.15/3.80 tff(7048,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7049,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7050,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 5.15/3.80 tff(7051,plain,
% 5.15/3.80 (~node2(s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7050, 652, 7026])).
% 5.15/3.80 tff(7052,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.80 tff(7053,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 5.15/3.80 inference(quant_inst,[status(thm)],[])).
% 5.15/3.80 tff(7054,plain,
% 5.15/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 5.15/3.80 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 5.15/3.80 tff(7055,plain,
% 5.15/3.80 (~node3(s84)),
% 5.15/3.80 inference(unit_resolution,[status(thm)],[7054, 663, 7026])).
% 5.15/3.80 tff(7056,plain,
% 5.15/3.80 (((~![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)))),
% 5.15/3.80 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7057,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7058,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 5.15/3.81 tff(7059,plain,
% 5.15/3.81 (~m_main_v_state1(s84, c_c1)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7058, 289, 7022])).
% 5.15/3.81 tff(7060,plain,
% 5.15/3.81 (((~![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(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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7061,plain,
% 5.15/3.81 (((~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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7062,plain,
% 5.15/3.81 (((~![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))))),
% 5.15/3.81 inference(monotonicity,[status(thm)],[7061])).
% 5.15/3.81 tff(7063,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(transitivity,[status(thm)],[7062, 7060])).
% 5.15/3.81 tff(7064,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7065,plain,
% 5.15/3.81 ((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 5.15/3.81 tff(7066,plain,
% 5.15/3.81 (~m_main_v_state2(s83, c_n2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7065, 416, 6907, 6999])).
% 5.15/3.81 tff(7067,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7068,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7069,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 5.15/3.81 tff(7070,plain,
% 5.15/3.81 (~node9(s83)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7069, 311, 7066])).
% 5.15/3.81 tff(7071,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7072,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7073,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 5.15/3.81 tff(7074,plain,
% 5.15/3.81 (~node10(s83)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7073, 372, 7066])).
% 5.15/3.81 tff(7075,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7076,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7077,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 5.15/3.81 tff(7078,plain,
% 5.15/3.81 (~node8(s83)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7077, 383, 7066])).
% 5.15/3.81 tff(7079,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7080,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7081,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 5.15/3.81 tff(7082,plain,
% 5.15/3.81 (node14(s83, s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7081, 130, 7013])).
% 5.15/3.81 tff(7083,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7084,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7085,plain,
% 5.15/3.81 ((~![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)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 5.15/3.81 tff(7086,plain,
% 5.15/3.81 ((~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)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7085, 704, 7082])).
% 5.15/3.81 tff(7087,plain,
% 5.15/3.81 (m_main_v_state2(s84, c_c2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7086, 7078, 6950, 7006, 7074, 7070])).
% 5.15/3.81 tff(7088,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7089,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7090,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 5.15/3.81 tff(7091,plain,
% 5.15/3.81 (~m_main_v_state2(s84, c_n2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7090, 716, 7087])).
% 5.15/3.81 tff(7092,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7093,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7094,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 5.15/3.81 tff(7095,plain,
% 5.15/3.81 (~node4(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7094, 162, 7091])).
% 5.15/3.81 tff(7096,plain,
% 5.15/3.81 (succ(s84, s85) <=> succ(s84, s85)),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7097,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 5.15/3.81 tff(7098,plain,
% 5.15/3.81 (succ(s84, s85)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 5.15/3.81 tff(7099,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7100,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7101,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7100, 7099])).
% 5.15/3.81 tff(7102,plain,
% 5.15/3.81 (trans(s84, s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7101, 7098, 57])).
% 5.15/3.81 tff(7103,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7104,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7105,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 5.15/3.81 tff(7106,plain,
% 5.15/3.81 (node7(s84, s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7105, 217, 7102])).
% 5.15/3.81 tff(7107,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7108,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7109,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 5.15/3.81 tff(7110,plain,
% 5.15/3.81 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7109, 745, 7106])).
% 5.15/3.81 tff(7111,plain,
% 5.15/3.81 (node6(s84, s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7110, 7095, 7059, 7055, 7051, 7047, 7030])).
% 5.15/3.81 tff(7112,plain,
% 5.15/3.81 (((~![V: $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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7113,plain,
% 5.15/3.81 (((~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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7114,plain,
% 5.15/3.81 (((~![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))))),
% 5.15/3.81 inference(monotonicity,[status(thm)],[7113])).
% 5.15/3.81 tff(7115,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(transitivity,[status(thm)],[7114, 7112])).
% 5.15/3.81 tff(7116,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7117,plain,
% 5.15/3.81 ((~![V: $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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 5.15/3.81 tff(7118,plain,
% 5.15/3.81 (m_main_v_state1(s85, c_t1)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7117, 760, 7022, 7111])).
% 5.15/3.81 tff(7119,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7120,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7121,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 5.15/3.81 tff(7122,plain,
% 5.15/3.81 (~m_main_v_state2(s84, c_t2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7121, 173, 7087])).
% 5.15/3.81 tff(7123,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7124,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7125,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 5.15/3.81 tff(7126,plain,
% 5.15/3.81 (~node12(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7125, 778, 7122])).
% 5.15/3.81 tff(7127,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7128,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7129,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 5.15/3.81 tff(7130,plain,
% 5.15/3.81 (~node11(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7129, 361, 7026])).
% 5.15/3.81 tff(7131,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7132,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7133,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 5.15/3.81 tff(7134,plain,
% 5.15/3.81 (~node10(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7133, 793, 7059])).
% 5.15/3.81 tff(7135,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7136,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7137,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 5.15/3.81 tff(7138,plain,
% 5.15/3.81 (~node9(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7137, 804, 7026])).
% 5.15/3.81 tff(7139,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7140,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7141,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 5.15/3.81 tff(7142,plain,
% 5.15/3.81 (~node8(s84)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7141, 383, 7091])).
% 5.15/3.81 tff(7143,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7144,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7145,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 5.15/3.81 tff(7146,plain,
% 5.15/3.81 (node14(s84, s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7145, 130, 7102])).
% 5.15/3.81 tff(7147,plain,
% 5.15/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7148,plain,
% 5.15/3.81 (((~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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7149,plain,
% 5.15/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.15/3.81 inference(monotonicity,[status(thm)],[7148])).
% 5.15/3.81 tff(7150,plain,
% 5.15/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.81 inference(transitivity,[status(thm)],[7149, 7147])).
% 5.15/3.81 tff(7151,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7152,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 5.15/3.81 tff(7153,plain,
% 5.15/3.81 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7152, 826, 7146])).
% 5.15/3.81 tff(7154,plain,
% 5.15/3.81 (m_main_v_state2(s85, c_n2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7153, 7142, 7087, 7138, 7134, 7130, 7126])).
% 5.15/3.81 tff(7155,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7156,plain,
% 5.15/3.81 ((~![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)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7157,plain,
% 5.15/3.81 ((~![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))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 5.15/3.81 tff(7158,plain,
% 5.15/3.81 (~m_main_v_state2(s85, c_t2)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7157, 10, 7154])).
% 5.15/3.81 tff(7159,plain,
% 5.15/3.81 (((~![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)))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7160,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7161,plain,
% 5.15/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 5.15/3.81 tff(7162,plain,
% 5.15/3.81 (~node15(s85)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7161, 21, 7158])).
% 5.15/3.81 tff(7163,plain,
% 5.15/3.81 (succ(s85, s86) <=> succ(s85, s86)),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7164,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 5.15/3.81 tff(7165,plain,
% 5.15/3.81 (succ(s85, s86)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 5.15/3.81 tff(7166,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7167,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7168,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 5.15/3.81 tff(7169,plain,
% 5.15/3.81 (trans(s85, s86)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7168, 7165, 57])).
% 5.15/3.81 tff(7170,plain,
% 5.15/3.81 (((~![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))),
% 5.15/3.81 inference(rewrite,[status(thm)],[])).
% 5.15/3.81 tff(7171,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 5.15/3.81 inference(quant_inst,[status(thm)],[])).
% 5.15/3.81 tff(7172,plain,
% 5.15/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 5.15/3.81 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 5.15/3.81 tff(7173,plain,
% 5.15/3.81 (node18(s85, s86)),
% 5.15/3.81 inference(unit_resolution,[status(thm)],[7172, 71, 7169])).
% 5.15/3.82 tff(7174,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7175,plain,
% 5.15/3.82 (((~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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7176,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.15/3.82 inference(monotonicity,[status(thm)],[7175])).
% 5.15/3.82 tff(7177,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.82 inference(transitivity,[status(thm)],[7176, 7174])).
% 5.15/3.82 tff(7178,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7179,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 5.15/3.82 tff(7180,plain,
% 5.15/3.82 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7179, 863, 7173])).
% 5.15/3.82 tff(7181,plain,
% 5.15/3.82 (m_main_v_turn(s86, c_1)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7180, 7162, 7154, 7118])).
% 5.15/3.82 tff(7182,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7183,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7184,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 5.15/3.82 tff(7185,plain,
% 5.15/3.82 (~m_main_v_turn(s86, c_2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7184, 322, 7181])).
% 5.15/3.82 tff(7186,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7187,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7188,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 5.15/3.82 tff(7189,plain,
% 5.15/3.82 (~node12(s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7188, 350, 7185])).
% 5.15/3.82 tff(7190,plain,
% 5.15/3.82 (((~![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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7191,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7192,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 5.15/3.82 tff(7193,plain,
% 5.15/3.82 (node14(s85, s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7192, 130, 7169])).
% 5.15/3.82 tff(7194,plain,
% 5.15/3.82 (((~![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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7195,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7196,plain,
% 5.15/3.82 ((~![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)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 5.15/3.82 tff(7197,plain,
% 5.15/3.82 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7196, 893, 7193])).
% 5.15/3.82 tff(7198,plain,
% 5.15/3.82 (m_main_v_state2(s86, c_t2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7197, 7118, 7154])).
% 5.15/3.82 tff(7199,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7200,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7201,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 5.15/3.82 tff(7202,plain,
% 5.15/3.82 (~m_main_v_state2(s86, c_n2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7201, 10, 7198])).
% 5.15/3.82 tff(7203,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7204,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7205,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 5.15/3.82 tff(7206,plain,
% 5.15/3.82 (~node8(s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7205, 383, 7202])).
% 5.15/3.82 tff(7207,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7208,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7209,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 5.15/3.82 tff(7210,plain,
% 5.15/3.82 (~node9(s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7209, 311, 7202])).
% 5.15/3.82 tff(7211,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7212,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7213,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 5.15/3.82 tff(7214,plain,
% 5.15/3.82 (~node10(s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7213, 372, 7202])).
% 5.15/3.82 tff(7215,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7216,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7217,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 5.15/3.82 tff(7218,plain,
% 5.15/3.82 (~m_main_v_state2(s86, c_c2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7217, 173, 7198])).
% 5.15/3.82 tff(7219,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7220,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7221,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 5.15/3.82 tff(7222,plain,
% 5.15/3.82 (~m_main_v_state2(s85, c_c2)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7221, 716, 7154])).
% 5.15/3.82 tff(7223,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7224,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7225,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 5.15/3.82 tff(7226,plain,
% 5.15/3.82 (~node3(s85)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7225, 184, 7222])).
% 5.15/3.82 tff(7227,plain,
% 5.15/3.82 (((~![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(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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7228,plain,
% 5.15/3.82 (((~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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7229,plain,
% 5.15/3.82 (((~![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))))),
% 5.15/3.82 inference(monotonicity,[status(thm)],[7228])).
% 5.15/3.82 tff(7230,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(transitivity,[status(thm)],[7229, 7227])).
% 5.15/3.82 tff(7231,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7232,plain,
% 5.15/3.82 ((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 5.15/3.82 tff(7233,plain,
% 5.15/3.82 (~m_main_v_state1(s85, c_n1)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7232, 936, 7026, 7111])).
% 5.15/3.82 tff(7234,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7235,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7236,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 5.15/3.82 tff(7237,plain,
% 5.15/3.82 (~node2(s85)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7236, 652, 7233])).
% 5.15/3.82 tff(7238,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7239,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7240,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 5.15/3.82 tff(7241,plain,
% 5.15/3.82 (~node1(s85)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7240, 206, 7158])).
% 5.15/3.82 tff(7242,plain,
% 5.15/3.82 (((~![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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7243,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7244,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 5.15/3.82 tff(7245,plain,
% 5.15/3.82 (node7(s85, s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7244, 217, 7169])).
% 5.15/3.82 tff(7246,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7247,plain,
% 5.15/3.82 (((~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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7248,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.15/3.82 inference(monotonicity,[status(thm)],[7247])).
% 5.15/3.82 tff(7249,plain,
% 5.15/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.15/3.82 inference(transitivity,[status(thm)],[7248, 7246])).
% 5.15/3.82 tff(7250,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7251,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 5.15/3.82 tff(7252,plain,
% 5.15/3.82 ((~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)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7251, 965, 7245])).
% 5.15/3.82 tff(7253,plain,
% 5.15/3.82 (m_main_v_state1(s86, c_c1)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7252, 7241, 7154, 7118, 7237, 7226])).
% 5.15/3.82 tff(7254,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7255,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7256,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 5.15/3.82 tff(7257,plain,
% 5.15/3.82 (~m_main_v_state1(s86, c_n1)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7256, 449, 7253])).
% 5.15/3.82 tff(7258,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7259,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7260,plain,
% 5.15/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 5.15/3.82 tff(7261,plain,
% 5.15/3.82 (~node11(s86)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7260, 361, 7257])).
% 5.15/3.82 tff(7262,plain,
% 5.15/3.82 (succ(s86, s87) <=> succ(s86, s87)),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7263,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 5.15/3.82 tff(7264,plain,
% 5.15/3.82 (succ(s86, s87)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 5.15/3.82 tff(7265,plain,
% 5.15/3.82 (((~![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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7266,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7267,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 5.15/3.82 tff(7268,plain,
% 5.15/3.82 (trans(s86, s87)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7267, 7264, 57])).
% 5.15/3.82 tff(7269,plain,
% 5.15/3.82 (((~![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))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7270,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7271,plain,
% 5.15/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 5.15/3.82 tff(7272,plain,
% 5.15/3.82 (node14(s86, s87)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7271, 130, 7268])).
% 5.15/3.82 tff(7273,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7274,plain,
% 5.15/3.82 ((~![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)))),
% 5.15/3.82 inference(quant_inst,[status(thm)],[])).
% 5.15/3.82 tff(7275,plain,
% 5.15/3.82 ((~![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))),
% 5.15/3.82 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 5.15/3.82 tff(7276,plain,
% 5.15/3.82 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7275, 401, 7272])).
% 5.15/3.82 tff(7277,plain,
% 5.15/3.82 (node13(s86, s87)),
% 5.15/3.82 inference(unit_resolution,[status(thm)],[7276, 7261, 7218, 7214, 7210, 7206, 7189])).
% 5.15/3.82 tff(7278,plain,
% 5.15/3.82 (((~![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(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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7279,plain,
% 5.15/3.82 (((~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)))),
% 5.15/3.82 inference(rewrite,[status(thm)],[])).
% 5.15/3.82 tff(7280,plain,
% 5.15/3.82 (((~![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))))),
% 5.15/3.82 inference(monotonicity,[status(thm)],[7279])).
% 5.15/3.82 tff(7281,plain,
% 5.15/3.82 (((~![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)))),
% 5.15/3.83 inference(transitivity,[status(thm)],[7280, 7278])).
% 5.15/3.83 tff(7282,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7283,plain,
% 5.15/3.83 ((~![V: $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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 5.15/3.83 tff(7284,plain,
% 5.15/3.83 (~m_main_v_state2(s87, c_n2)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7283, 416, 7202, 7277])).
% 5.15/3.83 tff(7285,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7286,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7287,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 5.15/3.83 tff(7288,plain,
% 5.15/3.83 (~node9(s87)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7287, 311, 7284])).
% 5.15/3.83 tff(7289,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7290,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7291,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 5.15/3.83 tff(7292,plain,
% 5.15/3.83 (~node10(s87)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7291, 372, 7284])).
% 5.15/3.83 tff(7293,plain,
% 5.15/3.83 (((~![V: $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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7294,plain,
% 5.15/3.83 (((~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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7295,plain,
% 5.15/3.83 (((~![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))))),
% 5.15/3.83 inference(monotonicity,[status(thm)],[7294])).
% 5.15/3.83 tff(7296,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(transitivity,[status(thm)],[7295, 7293])).
% 5.15/3.83 tff(7297,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7298,plain,
% 5.15/3.83 ((~![V: $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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 5.15/3.83 tff(7299,plain,
% 5.15/3.83 (m_main_v_state2(s87, c_t2)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7298, 563, 7198, 7277])).
% 5.15/3.83 tff(7300,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7301,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7302,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 5.15/3.83 tff(7303,plain,
% 5.15/3.83 (~m_main_v_state1(s86, c_t1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7302, 289, 7253])).
% 5.15/3.83 tff(7304,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7305,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7306,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 5.15/3.83 tff(7307,plain,
% 5.15/3.83 (~node5(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7306, 300, 7303])).
% 5.15/3.83 tff(7308,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7309,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7310,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 5.15/3.83 tff(7311,plain,
% 5.15/3.83 (~node4(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7310, 162, 7202])).
% 5.15/3.83 tff(7312,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7313,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7314,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 5.15/3.83 tff(7315,plain,
% 5.15/3.83 (~node3(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7314, 184, 7218])).
% 5.15/3.83 tff(7316,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7317,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7318,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 5.15/3.83 tff(7319,plain,
% 5.15/3.83 (~node2(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7318, 195, 7202])).
% 5.15/3.83 tff(7320,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7321,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7322,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 5.15/3.83 tff(7323,plain,
% 5.15/3.83 (~node1(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7322, 249, 7257])).
% 5.15/3.83 tff(7324,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7325,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7326,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 5.15/3.83 tff(7327,plain,
% 5.15/3.83 (node7(s86, s87)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7326, 217, 7268])).
% 5.15/3.83 tff(7328,plain,
% 5.15/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7329,plain,
% 5.15/3.83 (((~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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7330,plain,
% 5.15/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.15/3.83 inference(monotonicity,[status(thm)],[7329])).
% 5.15/3.83 tff(7331,plain,
% 5.15/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.83 inference(transitivity,[status(thm)],[7330, 7328])).
% 5.15/3.83 tff(7332,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7333,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 5.15/3.83 tff(7334,plain,
% 5.15/3.83 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7333, 478, 7327])).
% 5.15/3.83 tff(7335,plain,
% 5.15/3.83 (m_main_v_state1(s87, c_n1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7334, 7323, 7253, 7319, 7315, 7311, 7307])).
% 5.15/3.83 tff(7336,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7337,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7338,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 5.15/3.83 tff(7339,plain,
% 5.15/3.83 (~node8(s87)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7338, 383, 7284])).
% 5.15/3.83 tff(7340,plain,
% 5.15/3.83 (succ(s87, s88) <=> succ(s87, s88)),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7341,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 5.15/3.83 tff(7342,plain,
% 5.15/3.83 (succ(s87, s88)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 5.15/3.83 tff(7343,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7344,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7345,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 5.15/3.83 tff(7346,plain,
% 5.15/3.83 (trans(s87, s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7345, 7342, 57])).
% 5.15/3.83 tff(7347,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7348,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7349,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 5.15/3.83 tff(7350,plain,
% 5.15/3.83 (node14(s87, s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7349, 130, 7346])).
% 5.15/3.83 tff(7351,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7352,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7353,plain,
% 5.15/3.83 ((~![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)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 5.15/3.83 tff(7354,plain,
% 5.15/3.83 ((~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)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7353, 704, 7350])).
% 5.15/3.83 tff(7355,plain,
% 5.15/3.83 (m_main_v_state2(s88, c_c2)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7354, 7339, 7335, 7299, 7292, 7288])).
% 5.15/3.83 tff(7356,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7357,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7358,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 5.15/3.83 tff(7359,plain,
% 5.15/3.83 (~m_main_v_state2(s88, c_t2)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7358, 173, 7355])).
% 5.15/3.83 tff(7360,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7361,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7362,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 5.15/3.83 tff(7363,plain,
% 5.15/3.83 (~node12(s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7362, 778, 7359])).
% 5.15/3.83 tff(7364,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7365,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7366,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 5.15/3.83 tff(7367,plain,
% 5.15/3.83 (node7(s87, s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7366, 217, 7346])).
% 5.15/3.83 tff(7368,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7369,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7370,plain,
% 5.15/3.83 ((~![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)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 5.15/3.83 tff(7371,plain,
% 5.15/3.83 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7370, 598, 7367])).
% 5.15/3.83 tff(7372,plain,
% 5.15/3.83 (m_main_v_state1(s88, c_t1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7371, 7299, 7335])).
% 5.15/3.83 tff(7373,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7374,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7375,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 5.15/3.83 tff(7376,plain,
% 5.15/3.83 (~m_main_v_state1(s88, c_n1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7375, 35, 7372])).
% 5.15/3.83 tff(7377,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7378,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7379,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 5.15/3.83 tff(7380,plain,
% 5.15/3.83 (~node11(s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7379, 361, 7376])).
% 5.15/3.83 tff(7381,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7382,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7383,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 5.15/3.83 tff(7384,plain,
% 5.15/3.83 (~m_main_v_state1(s88, c_c1)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7383, 289, 7372])).
% 5.15/3.83 tff(7385,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7386,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7387,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 5.15/3.83 tff(7388,plain,
% 5.15/3.83 (~node10(s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7387, 793, 7384])).
% 5.15/3.83 tff(7389,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7390,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7391,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 5.15/3.83 tff(7392,plain,
% 5.15/3.83 (~node9(s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7391, 804, 7376])).
% 5.15/3.83 tff(7393,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7394,plain,
% 5.15/3.83 ((~![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)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7395,plain,
% 5.15/3.83 ((~![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))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 5.15/3.83 tff(7396,plain,
% 5.15/3.83 (~m_main_v_state2(s88, c_n2)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7395, 716, 7355])).
% 5.15/3.83 tff(7397,plain,
% 5.15/3.83 (((~![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)))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7398,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7399,plain,
% 5.15/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 5.15/3.83 tff(7400,plain,
% 5.15/3.83 (~node8(s88)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7399, 383, 7396])).
% 5.15/3.83 tff(7401,plain,
% 5.15/3.83 (succ(s88, s89) <=> succ(s88, s89)),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7402,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 5.15/3.83 tff(7403,plain,
% 5.15/3.83 (succ(s88, s89)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7402, 7401])).
% 5.15/3.83 tff(7404,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7405,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7406,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 5.15/3.83 tff(7407,plain,
% 5.15/3.83 (trans(s88, s89)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7406, 7403, 57])).
% 5.15/3.83 tff(7408,plain,
% 5.15/3.83 (((~![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))),
% 5.15/3.83 inference(rewrite,[status(thm)],[])).
% 5.15/3.83 tff(7409,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 5.15/3.83 inference(quant_inst,[status(thm)],[])).
% 5.15/3.83 tff(7410,plain,
% 5.15/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 5.15/3.83 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 5.15/3.83 tff(7411,plain,
% 5.15/3.83 (node14(s88, s89)),
% 5.15/3.83 inference(unit_resolution,[status(thm)],[7410, 130, 7407])).
% 5.15/3.83 tff(7412,plain,
% 5.15/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7413,plain,
% 5.15/3.84 (((~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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7414,plain,
% 5.15/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.15/3.84 inference(monotonicity,[status(thm)],[7413])).
% 5.15/3.84 tff(7415,plain,
% 5.15/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.15/3.84 inference(transitivity,[status(thm)],[7414, 7412])).
% 5.15/3.84 tff(7416,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7417,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7416, 7415])).
% 5.15/3.84 tff(7418,plain,
% 5.15/3.84 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7417, 826, 7411])).
% 5.15/3.84 tff(7419,plain,
% 5.15/3.84 (m_main_v_state2(s89, c_n2)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7418, 7400, 7355, 7392, 7388, 7380, 7363])).
% 5.15/3.84 tff(7420,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7421,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7422,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 5.15/3.84 tff(7423,plain,
% 5.15/3.84 (~m_main_v_state2(s89, c_c2)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7422, 716, 7419])).
% 5.15/3.84 tff(7424,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7425,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7426,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 5.15/3.84 tff(7427,plain,
% 5.15/3.84 (~node3(s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7426, 184, 7423])).
% 5.15/3.84 tff(7428,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7429,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7430,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7429, 7428])).
% 5.15/3.84 tff(7431,plain,
% 5.15/3.84 (~node1(s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7430, 249, 7376])).
% 5.15/3.84 tff(7432,plain,
% 5.15/3.84 (((~![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))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7433,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7434,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 5.15/3.84 tff(7435,plain,
% 5.15/3.84 (node18(s87, s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7434, 71, 7346])).
% 5.15/3.84 tff(7436,plain,
% 5.15/3.84 (((~![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))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7437,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7438,plain,
% 5.15/3.84 ((~![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)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 5.15/3.84 tff(7439,plain,
% 5.15/3.84 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7438, 625, 7435])).
% 5.15/3.84 tff(7440,plain,
% 5.15/3.84 (m_main_v_turn(s88, c_2)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7439, 7299, 7335])).
% 5.15/3.84 tff(7441,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7442,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7443,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 5.15/3.84 tff(7444,plain,
% 5.15/3.84 (~m_main_v_turn(s88, c_1)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7443, 322, 7440])).
% 5.15/3.84 tff(7445,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7446,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7447,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 5.15/3.84 tff(7448,plain,
% 5.15/3.84 (~node5(s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7447, 641, 7444])).
% 5.15/3.84 tff(7449,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7450,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7451,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 5.15/3.84 tff(7452,plain,
% 5.15/3.84 (~node2(s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7451, 652, 7376])).
% 5.15/3.84 tff(7453,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7454,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7455,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 5.15/3.84 tff(7456,plain,
% 5.15/3.84 (~node3(s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7455, 663, 7376])).
% 5.15/3.84 tff(7457,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7458,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7459,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 5.15/3.84 tff(7460,plain,
% 5.15/3.84 (~node4(s88)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7459, 162, 7396])).
% 5.15/3.84 tff(7461,plain,
% 5.15/3.84 (((~![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))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7462,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7463,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 5.15/3.84 tff(7464,plain,
% 5.15/3.84 (node7(s88, s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7463, 217, 7407])).
% 5.15/3.84 tff(7465,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7466,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7467,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 5.15/3.84 tff(7468,plain,
% 5.15/3.84 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7467, 745, 7464])).
% 5.15/3.84 tff(7469,plain,
% 5.15/3.84 (node6(s88, s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7468, 7460, 7384, 7456, 7452, 7448, 7431])).
% 5.15/3.84 tff(7470,plain,
% 5.15/3.84 (((~![V: $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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7471,plain,
% 5.15/3.84 (((~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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7472,plain,
% 5.15/3.84 (((~![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))))),
% 5.15/3.84 inference(monotonicity,[status(thm)],[7471])).
% 5.15/3.84 tff(7473,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(transitivity,[status(thm)],[7472, 7470])).
% 5.15/3.84 tff(7474,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7475,plain,
% 5.15/3.84 ((~![V: $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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 5.15/3.84 tff(7476,plain,
% 5.15/3.84 (~m_main_v_state1(s89, c_n1)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7475, 936, 7376, 7469])).
% 5.15/3.84 tff(7477,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7478,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7479,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 5.15/3.84 tff(7480,plain,
% 5.15/3.84 (~node2(s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7479, 652, 7476])).
% 5.15/3.84 tff(7481,plain,
% 5.15/3.84 (((~![V: $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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7482,plain,
% 5.15/3.84 (((~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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7483,plain,
% 5.15/3.84 (((~![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))))),
% 5.15/3.84 inference(monotonicity,[status(thm)],[7482])).
% 5.15/3.84 tff(7484,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(transitivity,[status(thm)],[7483, 7481])).
% 5.15/3.84 tff(7485,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7486,plain,
% 5.15/3.84 ((~![V: $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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 5.15/3.84 tff(7487,plain,
% 5.15/3.84 (m_main_v_state1(s89, c_t1)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7486, 760, 7372, 7469])).
% 5.15/3.84 tff(7488,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7489,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7490,plain,
% 5.15/3.84 ((~![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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 5.15/3.84 tff(7491,plain,
% 5.15/3.84 (~m_main_v_state2(s89, c_t2)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7490, 10, 7419])).
% 5.15/3.84 tff(7492,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7493,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7494,plain,
% 5.15/3.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 5.15/3.84 tff(7495,plain,
% 5.15/3.84 (~node1(s89)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7494, 206, 7491])).
% 5.15/3.84 tff(7496,plain,
% 5.15/3.84 (succ(s89, s90) <=> succ(s89, s90)),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7497,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 5.15/3.84 tff(7498,plain,
% 5.15/3.84 (succ(s89, s90)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 5.15/3.84 tff(7499,plain,
% 5.15/3.84 (((~![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))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7500,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7501,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 5.15/3.84 tff(7502,plain,
% 5.15/3.84 (trans(s89, s90)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7501, 7498, 57])).
% 5.15/3.84 tff(7503,plain,
% 5.15/3.84 (((~![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))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7504,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7505,plain,
% 5.15/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 5.15/3.84 tff(7506,plain,
% 5.15/3.84 (node7(s89, s90)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7505, 217, 7502])).
% 5.15/3.84 tff(7507,plain,
% 5.15/3.84 (((~![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(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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7508,plain,
% 5.15/3.84 (((~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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7509,plain,
% 5.15/3.84 (((~![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(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))))),
% 5.15/3.84 inference(monotonicity,[status(thm)],[7508])).
% 5.15/3.84 tff(7510,plain,
% 5.15/3.84 (((~![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(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)))),
% 5.15/3.84 inference(transitivity,[status(thm)],[7509, 7507])).
% 5.15/3.84 tff(7511,plain,
% 5.15/3.84 ((~![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(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))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.84 tff(7512,plain,
% 5.15/3.84 ((~![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(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))),
% 5.15/3.84 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 5.15/3.84 tff(7513,plain,
% 5.15/3.84 ((~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)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7512, 965, 7506])).
% 5.15/3.84 tff(7514,plain,
% 5.15/3.84 (m_main_v_state1(s90, c_c1)),
% 5.15/3.84 inference(unit_resolution,[status(thm)],[7513, 7495, 7419, 7487, 7480, 7427])).
% 5.15/3.84 tff(7515,plain,
% 5.15/3.84 (((~![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)))),
% 5.15/3.84 inference(rewrite,[status(thm)],[])).
% 5.15/3.84 tff(7516,plain,
% 5.15/3.84 ((~![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)))),
% 5.15/3.84 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7517,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 5.15/3.85 tff(7518,plain,
% 5.15/3.85 (~m_main_v_state1(s90, c_t1)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7517, 289, 7514])).
% 5.15/3.85 tff(7519,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7520,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7521,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 5.15/3.85 tff(7522,plain,
% 5.15/3.85 (~node5(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7521, 300, 7518])).
% 5.15/3.85 tff(7523,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7524,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7525,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 5.15/3.85 tff(7526,plain,
% 5.15/3.85 (node14(s89, s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7525, 130, 7502])).
% 5.15/3.85 tff(7527,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7528,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7529,plain,
% 5.15/3.85 ((~![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)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 5.15/3.85 tff(7530,plain,
% 5.15/3.85 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7529, 893, 7526])).
% 5.15/3.85 tff(7531,plain,
% 5.15/3.85 (m_main_v_state2(s90, c_t2)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7530, 7487, 7419])).
% 5.15/3.85 tff(7532,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7533,plain,
% 5.15/3.85 ((~![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)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7534,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 5.15/3.85 tff(7535,plain,
% 5.15/3.85 (~m_main_v_state2(s90, c_n2)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7534, 10, 7531])).
% 5.15/3.85 tff(7536,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7537,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7538,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 5.15/3.85 tff(7539,plain,
% 5.15/3.85 (~node4(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7538, 162, 7535])).
% 5.15/3.85 tff(7540,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7541,plain,
% 5.15/3.85 ((~![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)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7542,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7541, 7540])).
% 5.15/3.85 tff(7543,plain,
% 5.15/3.85 (~m_main_v_state2(s90, c_c2)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7542, 173, 7531])).
% 5.15/3.85 tff(7544,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7545,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7546,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 5.15/3.85 tff(7547,plain,
% 5.15/3.85 (~node3(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7546, 184, 7543])).
% 5.15/3.85 tff(7548,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7549,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7550,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 5.15/3.85 tff(7551,plain,
% 5.15/3.85 (~node2(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7550, 195, 7535])).
% 5.15/3.85 tff(7552,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7553,plain,
% 5.15/3.85 ((~![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)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7554,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 5.15/3.85 tff(7555,plain,
% 5.15/3.85 (~m_main_v_state1(s90, c_n1)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7554, 449, 7514])).
% 5.15/3.85 tff(7556,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7557,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7558,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 5.15/3.85 tff(7559,plain,
% 5.15/3.85 (~node1(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7558, 249, 7555])).
% 5.15/3.85 tff(7560,plain,
% 5.15/3.85 (succ(s90, s91) <=> succ(s90, s91)),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7561,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 5.15/3.85 tff(7562,plain,
% 5.15/3.85 (succ(s90, s91)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 5.15/3.85 tff(7563,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7564,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7565,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 5.15/3.85 tff(7566,plain,
% 5.15/3.85 (trans(s90, s91)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7565, 7562, 57])).
% 5.15/3.85 tff(7567,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7568,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7569,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 5.15/3.85 tff(7570,plain,
% 5.15/3.85 (node7(s90, s91)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7569, 217, 7566])).
% 5.15/3.85 tff(7571,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7572,plain,
% 5.15/3.85 (((~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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7573,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.15/3.85 inference(monotonicity,[status(thm)],[7572])).
% 5.15/3.85 tff(7574,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.15/3.85 inference(transitivity,[status(thm)],[7573, 7571])).
% 5.15/3.85 tff(7575,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7576,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 5.15/3.85 tff(7577,plain,
% 5.15/3.85 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7576, 478, 7570])).
% 5.15/3.85 tff(7578,plain,
% 5.15/3.85 (m_main_v_state1(s91, c_n1)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7577, 7559, 7514, 7551, 7547, 7539, 7522])).
% 5.15/3.85 tff(7579,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7580,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7581,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 5.15/3.85 tff(7582,plain,
% 5.15/3.85 (~node15(s89)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7581, 21, 7491])).
% 5.15/3.85 tff(7583,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7584,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7585,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 5.15/3.85 tff(7586,plain,
% 5.15/3.85 (node18(s89, s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7585, 71, 7502])).
% 5.15/3.85 tff(7587,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7588,plain,
% 5.15/3.85 (((~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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7589,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.15/3.85 inference(monotonicity,[status(thm)],[7588])).
% 5.15/3.85 tff(7590,plain,
% 5.15/3.85 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.85 inference(transitivity,[status(thm)],[7589, 7587])).
% 5.15/3.85 tff(7591,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7592,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 5.15/3.85 tff(7593,plain,
% 5.15/3.85 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7592, 863, 7586])).
% 5.15/3.85 tff(7594,plain,
% 5.15/3.85 (m_main_v_turn(s90, c_1)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7593, 7582, 7419, 7487])).
% 5.15/3.85 tff(7595,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7596,plain,
% 5.15/3.85 ((~![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)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7597,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 5.15/3.85 tff(7598,plain,
% 5.15/3.85 (~m_main_v_turn(s90, c_2)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7597, 322, 7594])).
% 5.15/3.85 tff(7599,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7600,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7601,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 5.15/3.85 tff(7602,plain,
% 5.15/3.85 (~node12(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7601, 350, 7598])).
% 5.15/3.85 tff(7603,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7604,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7605,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 5.15/3.85 tff(7606,plain,
% 5.15/3.85 (~node8(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7605, 383, 7535])).
% 5.15/3.85 tff(7607,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7608,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7609,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 5.15/3.85 tff(7610,plain,
% 5.15/3.85 (~node9(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7609, 311, 7535])).
% 5.15/3.85 tff(7611,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7612,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7613,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 5.15/3.85 tff(7614,plain,
% 5.15/3.85 (~node10(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7613, 372, 7535])).
% 5.15/3.85 tff(7615,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7616,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7617,plain,
% 5.15/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 5.15/3.85 tff(7618,plain,
% 5.15/3.85 (~node11(s90)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7617, 361, 7555])).
% 5.15/3.85 tff(7619,plain,
% 5.15/3.85 (((~![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))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7620,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7621,plain,
% 5.15/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 5.15/3.85 tff(7622,plain,
% 5.15/3.85 (node14(s90, s91)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7621, 130, 7566])).
% 5.15/3.85 tff(7623,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7624,plain,
% 5.15/3.85 ((~![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)))),
% 5.15/3.85 inference(quant_inst,[status(thm)],[])).
% 5.15/3.85 tff(7625,plain,
% 5.15/3.85 ((~![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))),
% 5.15/3.85 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 5.15/3.85 tff(7626,plain,
% 5.15/3.85 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7625, 401, 7622])).
% 5.15/3.85 tff(7627,plain,
% 5.15/3.85 (node13(s90, s91)),
% 5.15/3.85 inference(unit_resolution,[status(thm)],[7626, 7618, 7543, 7614, 7610, 7606, 7602])).
% 5.15/3.85 tff(7628,plain,
% 5.15/3.85 (((~![V: $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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7629,plain,
% 5.15/3.85 (((~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)))),
% 5.15/3.85 inference(rewrite,[status(thm)],[])).
% 5.15/3.85 tff(7630,plain,
% 5.15/3.85 (((~![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))))),
% 5.15/3.85 inference(monotonicity,[status(thm)],[7629])).
% 5.15/3.85 tff(7631,plain,
% 5.15/3.85 (((~![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)))),
% 5.15/3.86 inference(transitivity,[status(thm)],[7630, 7628])).
% 5.15/3.86 tff(7632,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7633,plain,
% 5.15/3.86 ((~![V: $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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 5.15/3.86 tff(7634,plain,
% 5.15/3.86 (m_main_v_state2(s91, c_t2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7633, 563, 7531, 7627])).
% 5.15/3.86 tff(7635,plain,
% 5.15/3.86 (succ(s91, s92) <=> succ(s91, s92)),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7636,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 5.15/3.86 tff(7637,plain,
% 5.15/3.86 (succ(s91, s92)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 5.15/3.86 tff(7638,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7639,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7640,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 5.15/3.86 tff(7641,plain,
% 5.15/3.86 (trans(s91, s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7640, 7637, 57])).
% 5.15/3.86 tff(7642,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7643,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7644,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 5.15/3.86 tff(7645,plain,
% 5.15/3.86 (node7(s91, s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7644, 217, 7641])).
% 5.15/3.86 tff(7646,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7647,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7648,plain,
% 5.15/3.86 ((~![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)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 5.15/3.86 tff(7649,plain,
% 5.15/3.86 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7648, 598, 7645])).
% 5.15/3.86 tff(7650,plain,
% 5.15/3.86 (m_main_v_state1(s92, c_t1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7649, 7634, 7578])).
% 5.15/3.86 tff(7651,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7652,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7653,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 5.15/3.86 tff(7654,plain,
% 5.15/3.86 (~m_main_v_state1(s92, c_n1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7653, 35, 7650])).
% 5.15/3.86 tff(7655,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7656,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7657,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 5.15/3.86 tff(7658,plain,
% 5.15/3.86 (~node1(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7657, 249, 7654])).
% 5.15/3.86 tff(7659,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7660,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7661,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 5.15/3.86 tff(7662,plain,
% 5.15/3.86 (node18(s91, s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7661, 71, 7641])).
% 5.15/3.86 tff(7663,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7664,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7665,plain,
% 5.15/3.86 ((~![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)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 5.15/3.86 tff(7666,plain,
% 5.15/3.86 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7665, 625, 7662])).
% 5.15/3.86 tff(7667,plain,
% 5.15/3.86 (m_main_v_turn(s92, c_2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7666, 7634, 7578])).
% 5.15/3.86 tff(7668,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7669,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7670,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 5.15/3.86 tff(7671,plain,
% 5.15/3.86 (~m_main_v_turn(s92, c_1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7670, 322, 7667])).
% 5.15/3.86 tff(7672,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7673,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7674,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 5.15/3.86 tff(7675,plain,
% 5.15/3.86 (~node5(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7674, 641, 7671])).
% 5.15/3.86 tff(7676,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7677,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7678,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 5.15/3.86 tff(7679,plain,
% 5.15/3.86 (~node2(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7678, 652, 7654])).
% 5.15/3.86 tff(7680,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7681,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7682,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 5.15/3.86 tff(7683,plain,
% 5.15/3.86 (~node3(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7682, 663, 7654])).
% 5.15/3.86 tff(7684,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7685,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7686,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 5.15/3.86 tff(7687,plain,
% 5.15/3.86 (~m_main_v_state1(s92, c_c1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7686, 289, 7650])).
% 5.15/3.86 tff(7688,plain,
% 5.15/3.86 (((~![V: $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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7689,plain,
% 5.15/3.86 (((~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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7690,plain,
% 5.15/3.86 (((~![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))))),
% 5.15/3.86 inference(monotonicity,[status(thm)],[7689])).
% 5.15/3.86 tff(7691,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(transitivity,[status(thm)],[7690, 7688])).
% 5.15/3.86 tff(7692,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7693,plain,
% 5.15/3.86 ((~![V: $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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 5.15/3.86 tff(7694,plain,
% 5.15/3.86 (~m_main_v_state2(s91, c_n2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7693, 416, 7535, 7627])).
% 5.15/3.86 tff(7695,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7696,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7697,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 5.15/3.86 tff(7698,plain,
% 5.15/3.86 (~node9(s91)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7697, 311, 7694])).
% 5.15/3.86 tff(7699,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7700,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7701,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 5.15/3.86 tff(7702,plain,
% 5.15/3.86 (~node10(s91)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7701, 372, 7694])).
% 5.15/3.86 tff(7703,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7704,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7705,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 5.15/3.86 tff(7706,plain,
% 5.15/3.86 (~node8(s91)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7705, 383, 7694])).
% 5.15/3.86 tff(7707,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7708,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7709,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 5.15/3.86 tff(7710,plain,
% 5.15/3.86 (node14(s91, s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7709, 130, 7641])).
% 5.15/3.86 tff(7711,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7712,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7713,plain,
% 5.15/3.86 ((~![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)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 5.15/3.86 tff(7714,plain,
% 5.15/3.86 ((~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)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7713, 704, 7710])).
% 5.15/3.86 tff(7715,plain,
% 5.15/3.86 (m_main_v_state2(s92, c_c2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7714, 7706, 7578, 7634, 7702, 7698])).
% 5.15/3.86 tff(7716,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7717,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7718,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 5.15/3.86 tff(7719,plain,
% 5.15/3.86 (~m_main_v_state2(s92, c_n2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7718, 716, 7715])).
% 5.15/3.86 tff(7720,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7721,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7722,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 5.15/3.86 tff(7723,plain,
% 5.15/3.86 (~node4(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7722, 162, 7719])).
% 5.15/3.86 tff(7724,plain,
% 5.15/3.86 (succ(s92, s93) <=> succ(s92, s93)),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7725,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 5.15/3.86 tff(7726,plain,
% 5.15/3.86 (succ(s92, s93)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 5.15/3.86 tff(7727,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7728,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7729,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 5.15/3.86 tff(7730,plain,
% 5.15/3.86 (trans(s92, s93)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7729, 7726, 57])).
% 5.15/3.86 tff(7731,plain,
% 5.15/3.86 (((~![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))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7732,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7733,plain,
% 5.15/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 5.15/3.86 tff(7734,plain,
% 5.15/3.86 (node7(s92, s93)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7733, 217, 7730])).
% 5.15/3.86 tff(7735,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7736,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7737,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 5.15/3.86 tff(7738,plain,
% 5.15/3.86 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7737, 745, 7734])).
% 5.15/3.86 tff(7739,plain,
% 5.15/3.86 (node6(s92, s93)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7738, 7723, 7687, 7683, 7679, 7675, 7658])).
% 5.15/3.86 tff(7740,plain,
% 5.15/3.86 (((~![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(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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7741,plain,
% 5.15/3.86 (((~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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7742,plain,
% 5.15/3.86 (((~![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))))),
% 5.15/3.86 inference(monotonicity,[status(thm)],[7741])).
% 5.15/3.86 tff(7743,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(transitivity,[status(thm)],[7742, 7740])).
% 5.15/3.86 tff(7744,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7745,plain,
% 5.15/3.86 ((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7744, 7743])).
% 5.15/3.86 tff(7746,plain,
% 5.15/3.86 (m_main_v_state1(s93, c_t1)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7745, 760, 7650, 7739])).
% 5.15/3.86 tff(7747,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7748,plain,
% 5.15/3.86 ((~![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)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7749,plain,
% 5.15/3.86 ((~![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))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7748, 7747])).
% 5.15/3.86 tff(7750,plain,
% 5.15/3.86 (~m_main_v_state2(s92, c_t2)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7749, 173, 7715])).
% 5.15/3.86 tff(7751,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7752,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7753,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7752, 7751])).
% 5.15/3.86 tff(7754,plain,
% 5.15/3.86 (~node12(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7753, 778, 7750])).
% 5.15/3.86 tff(7755,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7756,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7757,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 5.15/3.86 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 5.15/3.86 tff(7758,plain,
% 5.15/3.86 (~node11(s92)),
% 5.15/3.86 inference(unit_resolution,[status(thm)],[7757, 361, 7654])).
% 5.15/3.86 tff(7759,plain,
% 5.15/3.86 (((~![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)))),
% 5.15/3.86 inference(rewrite,[status(thm)],[])).
% 5.15/3.86 tff(7760,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 5.15/3.86 inference(quant_inst,[status(thm)],[])).
% 5.15/3.86 tff(7761,plain,
% 5.15/3.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 5.23/3.87 tff(7762,plain,
% 5.23/3.87 (~node10(s92)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7761, 793, 7687])).
% 5.23/3.87 tff(7763,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7764,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7765,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 5.23/3.87 tff(7766,plain,
% 5.23/3.87 (~node9(s92)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7765, 804, 7654])).
% 5.23/3.87 tff(7767,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7768,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7769,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 5.23/3.87 tff(7770,plain,
% 5.23/3.87 (~node8(s92)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7769, 383, 7719])).
% 5.23/3.87 tff(7771,plain,
% 5.23/3.87 (((~![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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7772,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7773,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 5.23/3.87 tff(7774,plain,
% 5.23/3.87 (node14(s92, s93)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7773, 130, 7730])).
% 5.23/3.87 tff(7775,plain,
% 5.23/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7776,plain,
% 5.23/3.87 (((~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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7777,plain,
% 5.23/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.23/3.87 inference(monotonicity,[status(thm)],[7776])).
% 5.23/3.87 tff(7778,plain,
% 5.23/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.23/3.87 inference(transitivity,[status(thm)],[7777, 7775])).
% 5.23/3.87 tff(7779,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7780,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 5.23/3.87 tff(7781,plain,
% 5.23/3.87 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7780, 826, 7774])).
% 5.23/3.87 tff(7782,plain,
% 5.23/3.87 (m_main_v_state2(s93, c_n2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7781, 7770, 7715, 7766, 7762, 7758, 7754])).
% 5.23/3.87 tff(7783,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7784,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7785,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 5.23/3.87 tff(7786,plain,
% 5.23/3.87 (~m_main_v_state2(s93, c_t2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7785, 10, 7782])).
% 5.23/3.87 tff(7787,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7788,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7789,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 5.23/3.87 tff(7790,plain,
% 5.23/3.87 (~node15(s93)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7789, 21, 7786])).
% 5.23/3.87 tff(7791,plain,
% 5.23/3.87 (succ(s93, s94) <=> succ(s93, s94)),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7792,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 5.23/3.87 tff(7793,plain,
% 5.23/3.87 (succ(s93, s94)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 5.23/3.87 tff(7794,plain,
% 5.23/3.87 (((~![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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7795,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7796,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 5.23/3.87 tff(7797,plain,
% 5.23/3.87 (trans(s93, s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7796, 7793, 57])).
% 5.23/3.87 tff(7798,plain,
% 5.23/3.87 (((~![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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7799,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7800,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 5.23/3.87 tff(7801,plain,
% 5.23/3.87 (node18(s93, s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7800, 71, 7797])).
% 5.23/3.87 tff(7802,plain,
% 5.23/3.87 (((~![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(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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7803,plain,
% 5.23/3.87 (((~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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7804,plain,
% 5.23/3.87 (((~![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(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)))),
% 5.23/3.87 inference(monotonicity,[status(thm)],[7803])).
% 5.23/3.87 tff(7805,plain,
% 5.23/3.87 (((~![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(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))),
% 5.23/3.87 inference(transitivity,[status(thm)],[7804, 7802])).
% 5.23/3.87 tff(7806,plain,
% 5.23/3.87 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7807,plain,
% 5.23/3.87 ((~![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(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)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 5.23/3.87 tff(7808,plain,
% 5.23/3.87 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7807, 863, 7801])).
% 5.23/3.87 tff(7809,plain,
% 5.23/3.87 (m_main_v_turn(s94, c_1)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7808, 7790, 7782, 7746])).
% 5.23/3.87 tff(7810,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7811,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7812,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 5.23/3.87 tff(7813,plain,
% 5.23/3.87 (~m_main_v_turn(s94, c_2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7812, 322, 7809])).
% 5.23/3.87 tff(7814,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7815,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7816,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 5.23/3.87 tff(7817,plain,
% 5.23/3.87 (~node12(s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7816, 350, 7813])).
% 5.23/3.87 tff(7818,plain,
% 5.23/3.87 (((~![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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7819,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7820,plain,
% 5.23/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 5.23/3.87 tff(7821,plain,
% 5.23/3.87 (node14(s93, s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7820, 130, 7797])).
% 5.23/3.87 tff(7822,plain,
% 5.23/3.87 (((~![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))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7823,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7824,plain,
% 5.23/3.87 ((~![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)),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 5.23/3.87 tff(7825,plain,
% 5.23/3.87 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7824, 893, 7821])).
% 5.23/3.87 tff(7826,plain,
% 5.23/3.87 (m_main_v_state2(s94, c_t2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7825, 7746, 7782])).
% 5.23/3.87 tff(7827,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7828,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7829,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 5.23/3.87 tff(7830,plain,
% 5.23/3.87 (~m_main_v_state2(s94, c_n2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7829, 10, 7826])).
% 5.23/3.87 tff(7831,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7832,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7833,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 5.23/3.87 tff(7834,plain,
% 5.23/3.87 (~node8(s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7833, 383, 7830])).
% 5.23/3.87 tff(7835,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7836,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7837,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 5.23/3.87 tff(7838,plain,
% 5.23/3.87 (~node9(s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7837, 311, 7830])).
% 5.23/3.87 tff(7839,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7840,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7841,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 5.23/3.87 tff(7842,plain,
% 5.23/3.87 (~node10(s94)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7841, 372, 7830])).
% 5.23/3.87 tff(7843,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7844,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7845,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 5.23/3.87 tff(7846,plain,
% 5.23/3.87 (~m_main_v_state2(s94, c_c2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7845, 173, 7826])).
% 5.23/3.87 tff(7847,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7848,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7849,plain,
% 5.23/3.87 ((~![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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 5.23/3.87 tff(7850,plain,
% 5.23/3.87 (~m_main_v_state2(s93, c_c2)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7849, 716, 7782])).
% 5.23/3.87 tff(7851,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7852,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7853,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 5.23/3.87 tff(7854,plain,
% 5.23/3.87 (~node3(s93)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7853, 184, 7850])).
% 5.23/3.87 tff(7855,plain,
% 5.23/3.87 (((~![V: $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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7856,plain,
% 5.23/3.87 (((~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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7857,plain,
% 5.23/3.87 (((~![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))))),
% 5.23/3.87 inference(monotonicity,[status(thm)],[7856])).
% 5.23/3.87 tff(7858,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(transitivity,[status(thm)],[7857, 7855])).
% 5.23/3.87 tff(7859,plain,
% 5.23/3.87 ((~![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)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7860,plain,
% 5.23/3.87 ((~![V: $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))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 5.23/3.87 tff(7861,plain,
% 5.23/3.87 (~m_main_v_state1(s93, c_n1)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7860, 936, 7654, 7739])).
% 5.23/3.87 tff(7862,plain,
% 5.23/3.87 (((~![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)))),
% 5.23/3.87 inference(rewrite,[status(thm)],[])).
% 5.23/3.87 tff(7863,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 5.23/3.87 inference(quant_inst,[status(thm)],[])).
% 5.23/3.87 tff(7864,plain,
% 5.23/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 5.23/3.87 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 5.23/3.87 tff(7865,plain,
% 5.23/3.87 (~node2(s93)),
% 5.23/3.87 inference(unit_resolution,[status(thm)],[7864, 652, 7861])).
% 5.23/3.88 tff(7866,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7867,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7868,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 5.23/3.88 tff(7869,plain,
% 5.23/3.88 (~node1(s93)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7868, 206, 7786])).
% 5.23/3.88 tff(7870,plain,
% 5.23/3.88 (((~![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))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7871,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7872,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 5.23/3.88 tff(7873,plain,
% 5.23/3.88 (node7(s93, s94)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7872, 217, 7797])).
% 5.23/3.88 tff(7874,plain,
% 5.23/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7875,plain,
% 5.23/3.88 (((~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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7876,plain,
% 5.23/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.23/3.88 inference(monotonicity,[status(thm)],[7875])).
% 5.23/3.88 tff(7877,plain,
% 5.23/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.23/3.88 inference(transitivity,[status(thm)],[7876, 7874])).
% 5.23/3.88 tff(7878,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7879,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 5.23/3.88 tff(7880,plain,
% 5.23/3.88 ((~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)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7879, 965, 7873])).
% 5.23/3.88 tff(7881,plain,
% 5.23/3.88 (m_main_v_state1(s94, c_c1)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7880, 7869, 7782, 7746, 7865, 7854])).
% 5.23/3.88 tff(7882,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7883,plain,
% 5.23/3.88 ((~![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)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7884,plain,
% 5.23/3.88 ((~![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))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 5.23/3.88 tff(7885,plain,
% 5.23/3.88 (~m_main_v_state1(s94, c_n1)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7884, 449, 7881])).
% 5.23/3.88 tff(7886,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7887,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7888,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 5.23/3.88 tff(7889,plain,
% 5.23/3.88 (~node11(s94)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7888, 361, 7885])).
% 5.23/3.88 tff(7890,plain,
% 5.23/3.88 (succ(s94, s95) <=> succ(s94, s95)),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7891,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 5.23/3.88 tff(7892,plain,
% 5.23/3.88 (succ(s94, s95)),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 5.23/3.88 tff(7893,plain,
% 5.23/3.88 (((~![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))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7894,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7895,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 5.23/3.88 tff(7896,plain,
% 5.23/3.88 (trans(s94, s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7895, 7892, 57])).
% 5.23/3.88 tff(7897,plain,
% 5.23/3.88 (((~![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))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7898,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7899,plain,
% 5.23/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 5.23/3.88 tff(7900,plain,
% 5.23/3.88 (node14(s94, s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7899, 130, 7896])).
% 5.23/3.88 tff(7901,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7902,plain,
% 5.23/3.88 ((~![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)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7903,plain,
% 5.23/3.88 ((~![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))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 5.23/3.88 tff(7904,plain,
% 5.23/3.88 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7903, 401, 7900])).
% 5.23/3.88 tff(7905,plain,
% 5.23/3.88 (node13(s94, s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7904, 7889, 7846, 7842, 7838, 7834, 7817])).
% 5.23/3.88 tff(7906,plain,
% 5.23/3.88 (((~![V: $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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7907,plain,
% 5.23/3.88 (((~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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7908,plain,
% 5.23/3.88 (((~![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))))),
% 5.23/3.88 inference(monotonicity,[status(thm)],[7907])).
% 5.23/3.88 tff(7909,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(transitivity,[status(thm)],[7908, 7906])).
% 5.23/3.88 tff(7910,plain,
% 5.23/3.88 ((~![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)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7911,plain,
% 5.23/3.88 ((~![V: $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))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 5.23/3.88 tff(7912,plain,
% 5.23/3.88 (~m_main_v_state2(s95, c_n2)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7911, 416, 7830, 7905])).
% 5.23/3.88 tff(7913,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7914,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7915,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 5.23/3.88 tff(7916,plain,
% 5.23/3.88 (~node9(s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7915, 311, 7912])).
% 5.23/3.88 tff(7917,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7918,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7919,plain,
% 5.23/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 5.23/3.88 tff(7920,plain,
% 5.23/3.88 (~node10(s95)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7919, 372, 7912])).
% 5.23/3.88 tff(7921,plain,
% 5.23/3.88 (((~![V: $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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7922,plain,
% 5.23/3.88 (((~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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7923,plain,
% 5.23/3.88 (((~![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))))),
% 5.23/3.88 inference(monotonicity,[status(thm)],[7922])).
% 5.23/3.88 tff(7924,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(transitivity,[status(thm)],[7923, 7921])).
% 5.23/3.88 tff(7925,plain,
% 5.23/3.88 ((~![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))),
% 5.23/3.88 inference(quant_inst,[status(thm)],[])).
% 5.23/3.88 tff(7926,plain,
% 5.23/3.88 ((~![V: $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))),
% 5.23/3.88 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 5.23/3.88 tff(7927,plain,
% 5.23/3.88 (m_main_v_state2(s95, c_t2)),
% 5.23/3.88 inference(unit_resolution,[status(thm)],[7926, 563, 7826, 7905])).
% 5.23/3.88 tff(7928,plain,
% 5.23/3.88 (((~![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)))),
% 5.23/3.88 inference(rewrite,[status(thm)],[])).
% 5.23/3.88 tff(7929,plain,
% 5.23/3.88 ((~![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)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7930,plain,
% 5.25/3.88 ((~![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))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 5.25/3.88 tff(7931,plain,
% 5.25/3.88 (~m_main_v_state1(s94, c_t1)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7930, 289, 7881])).
% 5.25/3.88 tff(7932,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7933,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7934,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7933, 7932])).
% 5.25/3.88 tff(7935,plain,
% 5.25/3.88 (~node5(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7934, 300, 7931])).
% 5.25/3.88 tff(7936,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7937,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7938,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 5.25/3.88 tff(7939,plain,
% 5.25/3.88 (~node4(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7938, 162, 7830])).
% 5.25/3.88 tff(7940,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7941,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7942,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7941, 7940])).
% 5.25/3.88 tff(7943,plain,
% 5.25/3.88 (~node3(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7942, 184, 7846])).
% 5.25/3.88 tff(7944,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7945,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7946,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 5.25/3.88 tff(7947,plain,
% 5.25/3.88 (~node2(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7946, 195, 7830])).
% 5.25/3.88 tff(7948,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7949,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7950,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 5.25/3.88 tff(7951,plain,
% 5.25/3.88 (~node1(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7950, 249, 7885])).
% 5.25/3.88 tff(7952,plain,
% 5.25/3.88 (((~![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))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7953,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7954,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 5.25/3.88 tff(7955,plain,
% 5.25/3.88 (node7(s94, s95)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7954, 217, 7896])).
% 5.25/3.88 tff(7956,plain,
% 5.25/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7957,plain,
% 5.25/3.88 (((~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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7958,plain,
% 5.25/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.25/3.88 inference(monotonicity,[status(thm)],[7957])).
% 5.25/3.88 tff(7959,plain,
% 5.25/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.25/3.88 inference(transitivity,[status(thm)],[7958, 7956])).
% 5.25/3.88 tff(7960,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7961,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 5.25/3.88 tff(7962,plain,
% 5.25/3.88 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7961, 478, 7955])).
% 5.25/3.88 tff(7963,plain,
% 5.25/3.88 (m_main_v_state1(s95, c_n1)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7962, 7951, 7881, 7947, 7943, 7939, 7935])).
% 5.25/3.88 tff(7964,plain,
% 5.25/3.88 (((~![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)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7965,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7966,plain,
% 5.25/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 5.25/3.88 tff(7967,plain,
% 5.25/3.88 (~node8(s95)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7966, 383, 7912])).
% 5.25/3.88 tff(7968,plain,
% 5.25/3.88 (succ(s95, s96) <=> succ(s95, s96)),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7969,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 5.25/3.88 tff(7970,plain,
% 5.25/3.88 (succ(s95, s96)),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 5.25/3.88 tff(7971,plain,
% 5.25/3.88 (((~![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))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7972,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7973,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 5.25/3.88 tff(7974,plain,
% 5.25/3.88 (trans(s95, s96)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7973, 7970, 57])).
% 5.25/3.88 tff(7975,plain,
% 5.25/3.88 (((~![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))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7976,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7977,plain,
% 5.25/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 5.25/3.88 tff(7978,plain,
% 5.25/3.88 (node14(s95, s96)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7977, 130, 7974])).
% 5.25/3.88 tff(7979,plain,
% 5.25/3.88 (((~![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))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(7980,plain,
% 5.25/3.88 ((~![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))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(7981,plain,
% 5.25/3.88 ((~![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)),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 5.25/3.88 tff(7982,plain,
% 5.25/3.88 ((~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)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[7981, 704, 7978])).
% 5.25/3.89 tff(7983,plain,
% 5.25/3.89 (m_main_v_state2(s96, c_c2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7982, 7967, 7963, 7927, 7920, 7916])).
% 5.25/3.89 tff(7984,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(7985,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(7986,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 5.25/3.89 tff(7987,plain,
% 5.25/3.89 (~m_main_v_state2(s96, c_t2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7986, 173, 7983])).
% 5.25/3.89 tff(7988,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(7989,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(7990,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 5.25/3.89 tff(7991,plain,
% 5.25/3.89 (~node12(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7990, 778, 7987])).
% 5.25/3.89 tff(7992,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(7993,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(7994,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 5.25/3.89 tff(7995,plain,
% 5.25/3.89 (node7(s95, s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7994, 217, 7974])).
% 5.25/3.89 tff(7996,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(7997,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(7998,plain,
% 5.25/3.89 ((~![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)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 5.25/3.89 tff(7999,plain,
% 5.25/3.89 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7998, 598, 7995])).
% 5.25/3.89 tff(8000,plain,
% 5.25/3.89 (m_main_v_state1(s96, c_t1)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[7999, 7927, 7963])).
% 5.25/3.89 tff(8001,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8002,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8003,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 5.25/3.89 tff(8004,plain,
% 5.25/3.89 (~m_main_v_state1(s96, c_n1)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8003, 35, 8000])).
% 5.25/3.89 tff(8005,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8006,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8007,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 5.25/3.89 tff(8008,plain,
% 5.25/3.89 (~node11(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8007, 361, 8004])).
% 5.25/3.89 tff(8009,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8010,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8011,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 5.25/3.89 tff(8012,plain,
% 5.25/3.89 (~m_main_v_state1(s96, c_c1)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8011, 289, 8000])).
% 5.25/3.89 tff(8013,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8014,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8015,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 5.25/3.89 tff(8016,plain,
% 5.25/3.89 (~node10(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8015, 793, 8012])).
% 5.25/3.89 tff(8017,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8018,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8019,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 5.25/3.89 tff(8020,plain,
% 5.25/3.89 (~node9(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8019, 804, 8004])).
% 5.25/3.89 tff(8021,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8022,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8023,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 5.25/3.89 tff(8024,plain,
% 5.25/3.89 (~m_main_v_state2(s96, c_n2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8023, 716, 7983])).
% 5.25/3.89 tff(8025,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8026,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8027,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 5.25/3.89 tff(8028,plain,
% 5.25/3.89 (~node8(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8027, 383, 8024])).
% 5.25/3.89 tff(8029,plain,
% 5.25/3.89 (succ(s96, s97) <=> succ(s96, s97)),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8030,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 5.25/3.89 tff(8031,plain,
% 5.25/3.89 (succ(s96, s97)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 5.25/3.89 tff(8032,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8033,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8034,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 5.25/3.89 tff(8035,plain,
% 5.25/3.89 (trans(s96, s97)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8034, 8031, 57])).
% 5.25/3.89 tff(8036,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8037,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8038,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 5.25/3.89 tff(8039,plain,
% 5.25/3.89 (node14(s96, s97)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8038, 130, 8035])).
% 5.25/3.89 tff(8040,plain,
% 5.25/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8041,plain,
% 5.25/3.89 (((~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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8042,plain,
% 5.25/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.25/3.89 inference(monotonicity,[status(thm)],[8041])).
% 5.25/3.89 tff(8043,plain,
% 5.25/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.25/3.89 inference(transitivity,[status(thm)],[8042, 8040])).
% 5.25/3.89 tff(8044,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8045,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 5.25/3.89 tff(8046,plain,
% 5.25/3.89 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8045, 826, 8039])).
% 5.25/3.89 tff(8047,plain,
% 5.25/3.89 (m_main_v_state2(s97, c_n2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8046, 8028, 7983, 8020, 8016, 8008, 7991])).
% 5.25/3.89 tff(8048,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8049,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8050,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 5.25/3.89 tff(8051,plain,
% 5.25/3.89 (~m_main_v_state2(s97, c_c2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8050, 716, 8047])).
% 5.25/3.89 tff(8052,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8053,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8054,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 5.25/3.89 tff(8055,plain,
% 5.25/3.89 (~node3(s97)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8054, 184, 8051])).
% 5.25/3.89 tff(8056,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8057,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8058,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 5.25/3.89 tff(8059,plain,
% 5.25/3.89 (~node1(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8058, 249, 8004])).
% 5.25/3.89 tff(8060,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8061,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8062,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 5.25/3.89 tff(8063,plain,
% 5.25/3.89 (node18(s95, s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8062, 71, 7974])).
% 5.25/3.89 tff(8064,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8065,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8066,plain,
% 5.25/3.89 ((~![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)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 5.25/3.89 tff(8067,plain,
% 5.25/3.89 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8066, 625, 8063])).
% 5.25/3.89 tff(8068,plain,
% 5.25/3.89 (m_main_v_turn(s96, c_2)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8067, 7927, 7963])).
% 5.25/3.89 tff(8069,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8070,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8071,plain,
% 5.25/3.89 ((~![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))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 5.25/3.89 tff(8072,plain,
% 5.25/3.89 (~m_main_v_turn(s96, c_1)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8071, 322, 8068])).
% 5.25/3.89 tff(8073,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8074,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8075,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 5.25/3.89 tff(8076,plain,
% 5.25/3.89 (~node5(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8075, 641, 8072])).
% 5.25/3.89 tff(8077,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8078,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8079,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 5.25/3.89 tff(8080,plain,
% 5.25/3.89 (~node2(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8079, 652, 8004])).
% 5.25/3.89 tff(8081,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8082,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8083,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 5.25/3.89 tff(8084,plain,
% 5.25/3.89 (~node3(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8083, 663, 8004])).
% 5.25/3.89 tff(8085,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8086,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8087,plain,
% 5.25/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 5.25/3.89 tff(8088,plain,
% 5.25/3.89 (~node4(s96)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8087, 162, 8024])).
% 5.25/3.89 tff(8089,plain,
% 5.25/3.89 (((~![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))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8090,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 5.25/3.89 inference(quant_inst,[status(thm)],[])).
% 5.25/3.89 tff(8091,plain,
% 5.25/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 5.25/3.89 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 5.25/3.89 tff(8092,plain,
% 5.25/3.89 (node7(s96, s97)),
% 5.25/3.89 inference(unit_resolution,[status(thm)],[8091, 217, 8035])).
% 5.25/3.89 tff(8093,plain,
% 5.25/3.89 (((~![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)))),
% 5.25/3.89 inference(rewrite,[status(thm)],[])).
% 5.25/3.89 tff(8094,plain,
% 5.25/3.89 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8095,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 5.25/3.90 tff(8096,plain,
% 5.25/3.90 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8095, 745, 8092])).
% 5.25/3.90 tff(8097,plain,
% 5.25/3.90 (node6(s96, s97)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8096, 8088, 8012, 8084, 8080, 8076, 8059])).
% 5.25/3.90 tff(8098,plain,
% 5.25/3.90 (((~![V: $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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8099,plain,
% 5.25/3.90 (((~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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8100,plain,
% 5.25/3.90 (((~![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))))),
% 5.25/3.90 inference(monotonicity,[status(thm)],[8099])).
% 5.25/3.90 tff(8101,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(transitivity,[status(thm)],[8100, 8098])).
% 5.25/3.90 tff(8102,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8103,plain,
% 5.25/3.90 ((~![V: $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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 5.25/3.90 tff(8104,plain,
% 5.25/3.90 (~m_main_v_state1(s97, c_n1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8103, 936, 8004, 8097])).
% 5.25/3.90 tff(8105,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8106,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8107,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 5.25/3.90 tff(8108,plain,
% 5.25/3.90 (~node2(s97)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8107, 652, 8104])).
% 5.25/3.90 tff(8109,plain,
% 5.25/3.90 (((~![V: $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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8110,plain,
% 5.25/3.90 (((~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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8111,plain,
% 5.25/3.90 (((~![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))))),
% 5.25/3.90 inference(monotonicity,[status(thm)],[8110])).
% 5.25/3.90 tff(8112,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(transitivity,[status(thm)],[8111, 8109])).
% 5.25/3.90 tff(8113,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8114,plain,
% 5.25/3.90 ((~![V: $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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 5.25/3.90 tff(8115,plain,
% 5.25/3.90 (m_main_v_state1(s97, c_t1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8114, 760, 8000, 8097])).
% 5.25/3.90 tff(8116,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8117,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8118,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 5.25/3.90 tff(8119,plain,
% 5.25/3.90 (~m_main_v_state2(s97, c_t2)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8118, 10, 8047])).
% 5.25/3.90 tff(8120,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8121,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8122,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 5.25/3.90 tff(8123,plain,
% 5.25/3.90 (~node1(s97)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8122, 206, 8119])).
% 5.25/3.90 tff(8124,plain,
% 5.25/3.90 (succ(s97, s98) <=> succ(s97, s98)),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8125,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 5.25/3.90 tff(8126,plain,
% 5.25/3.90 (succ(s97, s98)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 5.25/3.90 tff(8127,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8128,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8129,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 5.25/3.90 tff(8130,plain,
% 5.25/3.90 (trans(s97, s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8129, 8126, 57])).
% 5.25/3.90 tff(8131,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8132,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8133,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 5.25/3.90 tff(8134,plain,
% 5.25/3.90 (node7(s97, s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8133, 217, 8130])).
% 5.25/3.90 tff(8135,plain,
% 5.25/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8136,plain,
% 5.25/3.90 (((~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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8137,plain,
% 5.25/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.25/3.90 inference(monotonicity,[status(thm)],[8136])).
% 5.25/3.90 tff(8138,plain,
% 5.25/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.25/3.90 inference(transitivity,[status(thm)],[8137, 8135])).
% 5.25/3.90 tff(8139,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8140,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 5.25/3.90 tff(8141,plain,
% 5.25/3.90 ((~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)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8140, 965, 8134])).
% 5.25/3.90 tff(8142,plain,
% 5.25/3.90 (m_main_v_state1(s98, c_c1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8141, 8123, 8047, 8115, 8108, 8055])).
% 5.25/3.90 tff(8143,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8144,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8145,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 5.25/3.90 tff(8146,plain,
% 5.25/3.90 (~m_main_v_state1(s98, c_t1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8145, 289, 8142])).
% 5.25/3.90 tff(8147,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8148,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8149,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 5.25/3.90 tff(8150,plain,
% 5.25/3.90 (~node5(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8149, 300, 8146])).
% 5.25/3.90 tff(8151,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8152,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8153,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 5.25/3.90 tff(8154,plain,
% 5.25/3.90 (node14(s97, s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8153, 130, 8130])).
% 5.25/3.90 tff(8155,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8156,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8157,plain,
% 5.25/3.90 ((~![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)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 5.25/3.90 tff(8158,plain,
% 5.25/3.90 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8157, 893, 8154])).
% 5.25/3.90 tff(8159,plain,
% 5.25/3.90 (m_main_v_state2(s98, c_t2)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8158, 8115, 8047])).
% 5.25/3.90 tff(8160,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8161,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8162,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 5.25/3.90 tff(8163,plain,
% 5.25/3.90 (~m_main_v_state2(s98, c_n2)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8162, 10, 8159])).
% 5.25/3.90 tff(8164,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8165,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8166,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 5.25/3.90 tff(8167,plain,
% 5.25/3.90 (~node4(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8166, 162, 8163])).
% 5.25/3.90 tff(8168,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8169,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8170,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8169, 8168])).
% 5.25/3.90 tff(8171,plain,
% 5.25/3.90 (~m_main_v_state2(s98, c_c2)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8170, 173, 8159])).
% 5.25/3.90 tff(8172,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8173,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8174,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 5.25/3.90 tff(8175,plain,
% 5.25/3.90 (~node3(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8174, 184, 8171])).
% 5.25/3.90 tff(8176,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8177,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8178,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 5.25/3.90 tff(8179,plain,
% 5.25/3.90 (~node2(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8178, 195, 8163])).
% 5.25/3.90 tff(8180,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8181,plain,
% 5.25/3.90 ((~![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)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8182,plain,
% 5.25/3.90 ((~![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))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 5.25/3.90 tff(8183,plain,
% 5.25/3.90 (~m_main_v_state1(s98, c_n1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8182, 449, 8142])).
% 5.25/3.90 tff(8184,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8185,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8186,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8185, 8184])).
% 5.25/3.90 tff(8187,plain,
% 5.25/3.90 (~node1(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8186, 249, 8183])).
% 5.25/3.90 tff(8188,plain,
% 5.25/3.90 (succ(s98, s99) <=> succ(s98, s99)),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8189,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 5.25/3.90 tff(8190,plain,
% 5.25/3.90 (succ(s98, s99)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 5.25/3.90 tff(8191,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8192,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8193,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 5.25/3.90 tff(8194,plain,
% 5.25/3.90 (trans(s98, s99)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8193, 8190, 57])).
% 5.25/3.90 tff(8195,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8196,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8197,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 5.25/3.90 tff(8198,plain,
% 5.25/3.90 (node7(s98, s99)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8197, 217, 8194])).
% 5.25/3.90 tff(8199,plain,
% 5.25/3.90 (((~![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(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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8200,plain,
% 5.25/3.90 (((~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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8201,plain,
% 5.25/3.90 (((~![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(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))))),
% 5.25/3.90 inference(monotonicity,[status(thm)],[8200])).
% 5.25/3.90 tff(8202,plain,
% 5.25/3.90 (((~![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(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)))),
% 5.25/3.90 inference(transitivity,[status(thm)],[8201, 8199])).
% 5.25/3.90 tff(8203,plain,
% 5.25/3.90 ((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8204,plain,
% 5.25/3.90 ((~![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(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 5.25/3.90 tff(8205,plain,
% 5.25/3.90 (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8204, 478, 8198])).
% 5.25/3.90 tff(8206,plain,
% 5.25/3.90 (m_main_v_state1(s99, c_n1)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8205, 8187, 8142, 8179, 8175, 8167, 8150])).
% 5.25/3.90 tff(8207,plain,
% 5.25/3.90 (((~![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)))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8208,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8209,plain,
% 5.25/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97))),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 5.25/3.90 tff(8210,plain,
% 5.25/3.90 (~node15(s97)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8209, 21, 8119])).
% 5.25/3.90 tff(8211,plain,
% 5.25/3.90 (((~![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))),
% 5.25/3.90 inference(rewrite,[status(thm)],[])).
% 5.25/3.90 tff(8212,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))),
% 5.25/3.90 inference(quant_inst,[status(thm)],[])).
% 5.25/3.90 tff(8213,plain,
% 5.25/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98)),
% 5.25/3.90 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 5.25/3.90 tff(8214,plain,
% 5.25/3.90 (node18(s97, s98)),
% 5.25/3.90 inference(unit_resolution,[status(thm)],[8213, 71, 8130])).
% 5.25/3.91 tff(8215,plain,
% 5.25/3.91 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8216,plain,
% 5.25/3.91 (((~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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8217,plain,
% 5.25/3.91 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.25/3.91 inference(monotonicity,[status(thm)],[8216])).
% 5.25/3.91 tff(8218,plain,
% 5.25/3.91 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.25/3.91 inference(transitivity,[status(thm)],[8217, 8215])).
% 5.25/3.91 tff(8219,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8220,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 5.25/3.91 tff(8221,plain,
% 5.25/3.91 (node15(s97) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8220, 863, 8214])).
% 5.25/3.91 tff(8222,plain,
% 5.25/3.91 (m_main_v_turn(s98, c_1)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8221, 8210, 8047, 8115])).
% 5.25/3.91 tff(8223,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8224,plain,
% 5.25/3.91 ((~![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)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8225,plain,
% 5.25/3.91 ((~![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))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 5.25/3.91 tff(8226,plain,
% 5.25/3.91 (~m_main_v_turn(s98, c_2)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8225, 322, 8222])).
% 5.25/3.91 tff(8227,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8228,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8229,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 5.25/3.91 tff(8230,plain,
% 5.25/3.91 (~node12(s98)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8229, 350, 8226])).
% 5.25/3.91 tff(8231,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8232,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8233,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 5.25/3.91 tff(8234,plain,
% 5.25/3.91 (~node8(s98)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8233, 383, 8163])).
% 5.25/3.91 tff(8235,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8236,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8237,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 5.25/3.91 tff(8238,plain,
% 5.25/3.91 (~node9(s98)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8237, 311, 8163])).
% 5.25/3.91 tff(8239,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8240,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8241,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 5.25/3.91 tff(8242,plain,
% 5.25/3.91 (~node10(s98)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8241, 372, 8163])).
% 5.25/3.91 tff(8243,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8244,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8245,plain,
% 5.25/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8244, 8243])).
% 5.25/3.91 tff(8246,plain,
% 5.25/3.91 (~node11(s98)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8245, 361, 8183])).
% 5.25/3.91 tff(8247,plain,
% 5.25/3.91 (((~![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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8248,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8249,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8248, 8247])).
% 5.25/3.91 tff(8250,plain,
% 5.25/3.91 (node14(s98, s99)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8249, 130, 8194])).
% 5.25/3.91 tff(8251,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8252,plain,
% 5.25/3.91 ((~![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)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8253,plain,
% 5.25/3.91 ((~![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))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 5.25/3.91 tff(8254,plain,
% 5.25/3.91 (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8253, 401, 8250])).
% 5.25/3.91 tff(8255,plain,
% 5.25/3.91 (node13(s98, s99)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8254, 8246, 8171, 8242, 8238, 8234, 8230])).
% 5.25/3.91 tff(8256,plain,
% 5.25/3.91 (((~![V: $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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8257,plain,
% 5.25/3.91 (((~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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8258,plain,
% 5.25/3.91 (((~![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))))),
% 5.25/3.91 inference(monotonicity,[status(thm)],[8257])).
% 5.25/3.91 tff(8259,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(transitivity,[status(thm)],[8258, 8256])).
% 5.25/3.91 tff(8260,plain,
% 5.25/3.91 ((~![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))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8261,plain,
% 5.25/3.91 ((~![V: $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))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 5.25/3.91 tff(8262,plain,
% 5.25/3.91 (m_main_v_state2(s99, c_t2)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8261, 563, 8159, 8255])).
% 5.25/3.91 tff(8263,plain,
% 5.25/3.91 (succ(s99, s100) <=> succ(s99, s100)),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8264,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 5.25/3.91 tff(8265,plain,
% 5.25/3.91 (succ(s99, s100)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 5.25/3.91 tff(8266,plain,
% 5.25/3.91 (((~![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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8267,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8268,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 5.25/3.91 tff(8269,plain,
% 5.25/3.91 (trans(s99, s100)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8268, 8265, 57])).
% 5.25/3.91 tff(8270,plain,
% 5.25/3.91 (((~![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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8271,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8272,plain,
% 5.25/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8271, 8270])).
% 5.25/3.91 tff(8273,plain,
% 5.25/3.91 (node7(s99, s100)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8272, 217, 8269])).
% 5.25/3.91 tff(8274,plain,
% 5.25/3.91 (((~![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))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8275,plain,
% 5.25/3.91 ((~![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))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8276,plain,
% 5.25/3.91 ((~![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)),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8275, 8274])).
% 5.25/3.91 tff(8277,plain,
% 5.25/3.91 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_state1(s100, c_t1)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8276, 598, 8273])).
% 5.25/3.91 tff(8278,plain,
% 5.25/3.91 (m_main_v_state1(s100, c_t1)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8277, 8262, 8206])).
% 5.25/3.91 tff(8279,plain,
% 5.25/3.91 (((~![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)))),
% 5.25/3.91 inference(rewrite,[status(thm)],[])).
% 5.25/3.91 tff(8280,plain,
% 5.25/3.91 ((~![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)))),
% 5.25/3.91 inference(quant_inst,[status(thm)],[])).
% 5.25/3.91 tff(8281,plain,
% 5.25/3.91 ((~![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))),
% 5.25/3.91 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 5.25/3.91 tff(8282,plain,
% 5.25/3.91 (~m_main_v_state1(s100, c_n1)),
% 5.25/3.91 inference(unit_resolution,[status(thm)],[8281, 35, 8278])).
% 5.25/3.91 tff(8283,plain,
% 5.25/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8284,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8285,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 5.28/3.91 tff(8286,plain,
% 5.28/3.91 (~node1(s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8285, 249, 8282])).
% 5.28/3.91 tff(8287,plain,
% 5.28/3.91 (((~![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))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8288,plain,
% 5.28/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8289,plain,
% 5.28/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100)),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 5.28/3.91 tff(8290,plain,
% 5.28/3.91 (node18(s99, s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8289, 71, 8269])).
% 5.28/3.91 tff(8291,plain,
% 5.28/3.91 (((~![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))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8292,plain,
% 5.28/3.91 ((~![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))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8293,plain,
% 5.28/3.91 ((~![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)),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 5.28/3.91 tff(8294,plain,
% 5.28/3.91 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_turn(s100, c_2)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8293, 625, 8290])).
% 5.28/3.91 tff(8295,plain,
% 5.28/3.91 (m_main_v_turn(s100, c_2)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8294, 8262, 8206])).
% 5.28/3.91 tff(8296,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8297,plain,
% 5.28/3.91 ((~![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)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8298,plain,
% 5.28/3.91 ((~![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))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 5.28/3.91 tff(8299,plain,
% 5.28/3.91 (~m_main_v_turn(s100, c_1)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8298, 322, 8295])).
% 5.28/3.91 tff(8300,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8301,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8302,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 5.28/3.91 tff(8303,plain,
% 5.28/3.91 (~node5(s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8302, 641, 8299])).
% 5.28/3.91 tff(8304,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8305,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8306,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 5.28/3.91 tff(8307,plain,
% 5.28/3.91 (~node2(s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8306, 652, 8282])).
% 5.28/3.91 tff(8308,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8309,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8310,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8309, 8308])).
% 5.28/3.91 tff(8311,plain,
% 5.28/3.91 (~node3(s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8310, 663, 8282])).
% 5.28/3.91 tff(8312,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8313,plain,
% 5.28/3.91 ((~![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)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8314,plain,
% 5.28/3.91 ((~![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))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 5.28/3.91 tff(8315,plain,
% 5.28/3.91 (~m_main_v_state1(s100, c_c1)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8314, 289, 8278])).
% 5.28/3.91 tff(8316,plain,
% 5.28/3.91 (((~![V: $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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8317,plain,
% 5.28/3.91 (((~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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8318,plain,
% 5.28/3.91 (((~![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))))),
% 5.28/3.91 inference(monotonicity,[status(thm)],[8317])).
% 5.28/3.91 tff(8319,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(transitivity,[status(thm)],[8318, 8316])).
% 5.28/3.91 tff(8320,plain,
% 5.28/3.91 ((~![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)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8321,plain,
% 5.28/3.91 ((~![V: $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))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 5.28/3.91 tff(8322,plain,
% 5.28/3.91 (~m_main_v_state2(s99, c_n2)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8321, 416, 8163, 8255])).
% 5.28/3.91 tff(8323,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8324,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8325,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 5.28/3.91 tff(8326,plain,
% 5.28/3.91 (~node9(s99)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8325, 311, 8322])).
% 5.28/3.91 tff(8327,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8328,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8329,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 5.28/3.91 tff(8330,plain,
% 5.28/3.91 (~node10(s99)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8329, 372, 8322])).
% 5.28/3.91 tff(8331,plain,
% 5.28/3.91 (((~![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)))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8332,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8333,plain,
% 5.28/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99))),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 5.28/3.91 tff(8334,plain,
% 5.28/3.91 (~node8(s99)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8333, 383, 8322])).
% 5.28/3.91 tff(8335,plain,
% 5.28/3.91 (((~![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))),
% 5.28/3.91 inference(rewrite,[status(thm)],[])).
% 5.28/3.91 tff(8336,plain,
% 5.28/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))),
% 5.28/3.91 inference(quant_inst,[status(thm)],[])).
% 5.28/3.91 tff(8337,plain,
% 5.28/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100)),
% 5.28/3.91 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 5.28/3.91 tff(8338,plain,
% 5.28/3.91 (node14(s99, s100)),
% 5.28/3.91 inference(unit_resolution,[status(thm)],[8337, 130, 8269])).
% 5.28/3.91 tff(8339,plain,
% 5.28/3.91 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8340,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8341,plain,
% 5.28/3.92 ((~![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)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 5.28/3.92 tff(8342,plain,
% 5.28/3.92 ((~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)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8341, 704, 8338])).
% 5.28/3.92 tff(8343,plain,
% 5.28/3.92 (m_main_v_state2(s100, c_c2)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8342, 8334, 8206, 8262, 8330, 8326])).
% 5.28/3.92 tff(8344,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8345,plain,
% 5.28/3.92 ((~![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)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8346,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 5.28/3.92 tff(8347,plain,
% 5.28/3.92 (~m_main_v_state2(s100, c_n2)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8346, 716, 8343])).
% 5.28/3.92 tff(8348,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8349,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8350,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 5.28/3.92 tff(8351,plain,
% 5.28/3.92 (~node4(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8350, 162, 8347])).
% 5.28/3.92 tff(8352,plain,
% 5.28/3.92 (succ(s100, s101) <=> succ(s100, s101)),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8353,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 5.28/3.92 tff(8354,plain,
% 5.28/3.92 (succ(s100, s101)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 5.28/3.92 tff(8355,plain,
% 5.28/3.92 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8356,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8357,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 5.28/3.92 tff(8358,plain,
% 5.28/3.92 (trans(s100, s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8357, 8354, 57])).
% 5.28/3.92 tff(8359,plain,
% 5.28/3.92 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8360,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8361,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 5.28/3.92 tff(8362,plain,
% 5.28/3.92 (node7(s100, s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8361, 217, 8358])).
% 5.28/3.92 tff(8363,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8364,plain,
% 5.28/3.92 ((~![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)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8365,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 5.28/3.92 tff(8366,plain,
% 5.28/3.92 (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8365, 745, 8362])).
% 5.28/3.92 tff(8367,plain,
% 5.28/3.92 (node6(s100, s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8366, 8351, 8315, 8311, 8307, 8303, 8286])).
% 5.28/3.92 tff(8368,plain,
% 5.28/3.92 (((~![V: $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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8369,plain,
% 5.28/3.92 (((~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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8370,plain,
% 5.28/3.92 (((~![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))))),
% 5.28/3.92 inference(monotonicity,[status(thm)],[8369])).
% 5.28/3.92 tff(8371,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(transitivity,[status(thm)],[8370, 8368])).
% 5.28/3.92 tff(8372,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8373,plain,
% 5.28/3.92 ((~![V: $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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 5.28/3.92 tff(8374,plain,
% 5.28/3.92 (m_main_v_state1(s101, c_t1)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8373, 760, 8278, 8367])).
% 5.28/3.92 tff(8375,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8376,plain,
% 5.28/3.92 ((~![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)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8377,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 5.28/3.92 tff(8378,plain,
% 5.28/3.92 (~m_main_v_state2(s100, c_t2)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8377, 173, 8343])).
% 5.28/3.92 tff(8379,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8380,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8381,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 5.28/3.92 tff(8382,plain,
% 5.28/3.92 (~node12(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8381, 778, 8378])).
% 5.28/3.92 tff(8383,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8384,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8385,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 5.28/3.92 tff(8386,plain,
% 5.28/3.92 (~node11(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8385, 361, 8282])).
% 5.28/3.92 tff(8387,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8388,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8389,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 5.28/3.92 tff(8390,plain,
% 5.28/3.92 (~node10(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8389, 793, 8315])).
% 5.28/3.92 tff(8391,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8392,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8393,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 5.28/3.92 tff(8394,plain,
% 5.28/3.92 (~node9(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8393, 804, 8282])).
% 5.28/3.92 tff(8395,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8396,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8397,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 5.28/3.92 tff(8398,plain,
% 5.28/3.92 (~node8(s100)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8397, 383, 8347])).
% 5.28/3.92 tff(8399,plain,
% 5.28/3.92 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8400,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8401,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 5.28/3.92 tff(8402,plain,
% 5.28/3.92 (node14(s100, s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8401, 130, 8358])).
% 5.28/3.92 tff(8403,plain,
% 5.28/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8404,plain,
% 5.28/3.92 (((~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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8405,plain,
% 5.28/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.28/3.92 inference(monotonicity,[status(thm)],[8404])).
% 5.28/3.92 tff(8406,plain,
% 5.28/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.28/3.92 inference(transitivity,[status(thm)],[8405, 8403])).
% 5.28/3.92 tff(8407,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8408,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8407, 8406])).
% 5.28/3.92 tff(8409,plain,
% 5.28/3.92 (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~m_main_v_state2(s100, c_c2))),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8408, 826, 8402])).
% 5.28/3.92 tff(8410,plain,
% 5.28/3.92 (m_main_v_state2(s101, c_n2)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8409, 8398, 8343, 8394, 8390, 8386, 8382])).
% 5.28/3.92 tff(8411,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8412,plain,
% 5.28/3.92 ((~![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)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8413,plain,
% 5.28/3.92 ((~![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))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 5.28/3.92 tff(8414,plain,
% 5.28/3.92 (~m_main_v_state2(s101, c_t2)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8413, 10, 8410])).
% 5.28/3.92 tff(8415,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8416,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8417,plain,
% 5.28/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101))),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 5.28/3.92 tff(8418,plain,
% 5.28/3.92 (~node15(s101)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8417, 21, 8414])).
% 5.28/3.92 tff(8419,plain,
% 5.28/3.92 (succ(s101, s102) <=> succ(s101, s102)),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8420,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 5.28/3.92 tff(8421,plain,
% 5.28/3.92 (succ(s101, s102)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 5.28/3.92 tff(8422,plain,
% 5.28/3.92 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8423,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8424,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 5.28/3.92 tff(8425,plain,
% 5.28/3.92 (trans(s101, s102)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8424, 8421, 57])).
% 5.28/3.92 tff(8426,plain,
% 5.28/3.92 (((~![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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8427,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8428,plain,
% 5.28/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 5.28/3.92 tff(8429,plain,
% 5.28/3.92 (node18(s101, s102)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8428, 71, 8425])).
% 5.28/3.92 tff(8430,plain,
% 5.28/3.92 (((~![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(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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8431,plain,
% 5.28/3.92 (((~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))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8432,plain,
% 5.28/3.92 (((~![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(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)))),
% 5.28/3.92 inference(monotonicity,[status(thm)],[8431])).
% 5.28/3.92 tff(8433,plain,
% 5.28/3.92 (((~![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(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))),
% 5.28/3.92 inference(transitivity,[status(thm)],[8432, 8430])).
% 5.28/3.92 tff(8434,plain,
% 5.28/3.92 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))),
% 5.28/3.92 inference(quant_inst,[status(thm)],[])).
% 5.28/3.92 tff(8435,plain,
% 5.28/3.92 ((~![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(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)),
% 5.28/3.92 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 5.28/3.92 tff(8436,plain,
% 5.28/3.92 (node15(s101) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8435, 863, 8429])).
% 5.28/3.92 tff(8437,plain,
% 5.28/3.92 (m_main_v_turn(s102, c_1)),
% 5.28/3.92 inference(unit_resolution,[status(thm)],[8436, 8418, 8410, 8374])).
% 5.28/3.92 tff(8438,plain,
% 5.28/3.92 (((~![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)))),
% 5.28/3.92 inference(rewrite,[status(thm)],[])).
% 5.28/3.92 tff(8439,plain,
% 5.28/3.92 ((~![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)))),
% 5.28/3.93 inference(quant_inst,[status(thm)],[])).
% 5.28/3.93 tff(8440,plain,
% 5.28/3.93 ((~![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))),
% 5.28/3.93 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 5.28/3.93 tff(8441,plain,
% 5.28/3.93 (~m_main_v_turn(s102, c_2)),
% 5.28/3.93 inference(unit_resolution,[status(thm)],[8440, 322, 8437])).
% 5.28/3.93 tff(8442,plain,
% 5.28/3.93 (((~![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)))),
% 5.28/3.93 inference(rewrite,[status(thm)],[])).
% 5.28/3.93 tff(8443,plain,
% 5.28/3.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 5.28/3.93 inference(quant_inst,[status(thm)],[])).
% 5.28/3.93 tff(8444,plain,
% 5.28/3.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102))),
% 5.28/3.93 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 5.28/3.93 tff(8445,plain,
% 5.28/3.93 (~node12(s102)),
% 5.28/3.93 inference(unit_resolution,[status(thm)],[8444, 350, 8441])).
% 5.28/3.93 tff(8446,plain,
% 5.28/3.93 (((~![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))),
% 5.28/3.93 inference(rewrite,[status(thm)],[])).
% 5.28/3.93 tff(8447,plain,
% 5.28/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))),
% 5.28/3.93 inference(quant_inst,[status(thm)],[])).
% 5.28/3.93 tff(8448,plain,
% 5.28/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102)),
% 5.28/3.93 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 5.28/3.93 tff(8449,plain,
% 5.28/3.93 (node14(s101, s102)),
% 5.28/3.93 inference(unit_resolution,[status(thm)],[8448, 130, 8425])).
% 5.28/3.93 tff(8450,plain,
% 5.28/3.93 (((~![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))),
% 5.28/3.93 inference(rewrite,[status(thm)],[])).
% 5.28/3.93 tff(8451,plain,
% 5.28/3.93 ((~![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))),
% 5.28/3.93 inference(quant_inst,[status(thm)],[])).
% 5.28/3.93 tff(8452,plain,
% 5.28/3.93 ((~![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)),
% 5.28/3.93 inference(modus_ponens,[status(thm)],[8451, 8450])).
% 5.28/3.93 tff(8453,plain,
% 5.28/3.93 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state2(s102, c_t2)),
% 5.28/3.93 inference(unit_resolution,[status(thm)],[8452, 893, 8449])).
% 5.28/3.93 tff(8454,plain,
% 5.28/3.93 (m_main_v_state2(s102, c_t2)),
% 5.28/3.93 inference(unit_resolution,[status(thm)],[8453, 8374, 8410])).
% 5.28/3.93 tff(8455,plain,
% 5.28/3.93 (((~![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)))),
% 5.28/3.93 inference(rewrite,[status(thm)],[])).
% 5.28/3.93 tff(8456,plain,
% 5.28/3.93 ((~![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)))),
% 5.28/3.93 inference(quant_inst,[status(thm)],[])).
% 5.28/3.93 tff(8457,plain,
% 5.28/3.93 ((~![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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 5.29/3.93 tff(8458,plain,
% 5.29/3.93 (~m_main_v_state2(s102, c_n2)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8457, 10, 8454])).
% 5.29/3.93 tff(8459,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8460,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8461,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 5.29/3.93 tff(8462,plain,
% 5.29/3.93 (~node8(s102)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8461, 383, 8458])).
% 5.29/3.93 tff(8463,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8464,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8465,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 5.29/3.93 tff(8466,plain,
% 5.29/3.93 (~node9(s102)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8465, 311, 8458])).
% 5.29/3.93 tff(8467,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8468,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8469,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8468, 8467])).
% 5.29/3.93 tff(8470,plain,
% 5.29/3.93 (~node10(s102)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8469, 372, 8458])).
% 5.29/3.93 tff(8471,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8472,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8473,plain,
% 5.29/3.93 ((~![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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8472, 8471])).
% 5.29/3.93 tff(8474,plain,
% 5.29/3.93 (~m_main_v_state2(s102, c_c2)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8473, 173, 8454])).
% 5.29/3.93 tff(8475,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8476,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8477,plain,
% 5.29/3.93 ((~![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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8476, 8475])).
% 5.29/3.93 tff(8478,plain,
% 5.29/3.93 (~m_main_v_state2(s101, c_c2)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8477, 716, 8410])).
% 5.29/3.93 tff(8479,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8480,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8481,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 5.29/3.93 tff(8482,plain,
% 5.29/3.93 (~node3(s101)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8481, 184, 8478])).
% 5.29/3.93 tff(8483,plain,
% 5.29/3.93 (((~![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(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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8484,plain,
% 5.29/3.93 (((~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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8485,plain,
% 5.29/3.93 (((~![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))))),
% 5.29/3.93 inference(monotonicity,[status(thm)],[8484])).
% 5.29/3.93 tff(8486,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(transitivity,[status(thm)],[8485, 8483])).
% 5.29/3.93 tff(8487,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8488,plain,
% 5.29/3.93 ((~![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(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 5.29/3.93 tff(8489,plain,
% 5.29/3.93 (~m_main_v_state1(s101, c_n1)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8488, 936, 8282, 8367])).
% 5.29/3.93 tff(8490,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8491,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8492,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 5.29/3.93 tff(8493,plain,
% 5.29/3.93 (~node2(s101)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8492, 652, 8489])).
% 5.29/3.93 tff(8494,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8495,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8496,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 5.29/3.93 tff(8497,plain,
% 5.29/3.93 (~node1(s101)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8496, 206, 8414])).
% 5.29/3.93 tff(8498,plain,
% 5.29/3.93 (((~![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))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8499,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8500,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102)),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 5.29/3.93 tff(8501,plain,
% 5.29/3.93 (node7(s101, s102)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8500, 217, 8425])).
% 5.29/3.93 tff(8502,plain,
% 5.29/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8503,plain,
% 5.29/3.93 (((~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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8504,plain,
% 5.29/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.29/3.93 inference(monotonicity,[status(thm)],[8503])).
% 5.29/3.93 tff(8505,plain,
% 5.29/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.93 inference(transitivity,[status(thm)],[8504, 8502])).
% 5.29/3.93 tff(8506,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8507,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8506, 8505])).
% 5.29/3.93 tff(8508,plain,
% 5.29/3.93 ((~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)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8507, 965, 8501])).
% 5.29/3.93 tff(8509,plain,
% 5.29/3.93 (m_main_v_state1(s102, c_c1)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8508, 8497, 8410, 8374, 8493, 8482])).
% 5.29/3.93 tff(8510,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8511,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8512,plain,
% 5.29/3.93 ((~![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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 5.29/3.93 tff(8513,plain,
% 5.29/3.93 (~m_main_v_state1(s102, c_n1)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8512, 449, 8509])).
% 5.29/3.93 tff(8514,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8515,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8516,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 5.29/3.93 tff(8517,plain,
% 5.29/3.93 (~node11(s102)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8516, 361, 8513])).
% 5.29/3.93 tff(8518,plain,
% 5.29/3.93 (succ(s102, s103) <=> succ(s102, s103)),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8519,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 5.29/3.93 tff(8520,plain,
% 5.29/3.93 (succ(s102, s103)),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 5.29/3.93 tff(8521,plain,
% 5.29/3.93 (((~![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))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8522,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8523,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 5.29/3.93 tff(8524,plain,
% 5.29/3.93 (trans(s102, s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8523, 8520, 57])).
% 5.29/3.93 tff(8525,plain,
% 5.29/3.93 (((~![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))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8526,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8527,plain,
% 5.29/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103)),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8526, 8525])).
% 5.29/3.93 tff(8528,plain,
% 5.29/3.93 (node14(s102, s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8527, 130, 8524])).
% 5.29/3.93 tff(8529,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8530,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8531,plain,
% 5.29/3.93 ((~![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))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 5.29/3.93 tff(8532,plain,
% 5.29/3.93 (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8531, 401, 8528])).
% 5.29/3.93 tff(8533,plain,
% 5.29/3.93 (node13(s102, s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8532, 8517, 8474, 8470, 8466, 8462, 8445])).
% 5.29/3.93 tff(8534,plain,
% 5.29/3.93 (((~![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(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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8535,plain,
% 5.29/3.93 (((~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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8536,plain,
% 5.29/3.93 (((~![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))))),
% 5.29/3.93 inference(monotonicity,[status(thm)],[8535])).
% 5.29/3.93 tff(8537,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(transitivity,[status(thm)],[8536, 8534])).
% 5.29/3.93 tff(8538,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8539,plain,
% 5.29/3.93 ((~![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(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 5.29/3.93 tff(8540,plain,
% 5.29/3.93 (~m_main_v_state2(s103, c_n2)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8539, 416, 8458, 8533])).
% 5.29/3.93 tff(8541,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8542,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8543,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 5.29/3.93 tff(8544,plain,
% 5.29/3.93 (~node9(s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8543, 311, 8540])).
% 5.29/3.93 tff(8545,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8546,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8547,plain,
% 5.29/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 5.29/3.93 tff(8548,plain,
% 5.29/3.93 (~node10(s103)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8547, 372, 8540])).
% 5.29/3.93 tff(8549,plain,
% 5.29/3.93 (((~![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(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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8550,plain,
% 5.29/3.93 (((~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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8551,plain,
% 5.29/3.93 (((~![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))))),
% 5.29/3.93 inference(monotonicity,[status(thm)],[8550])).
% 5.29/3.93 tff(8552,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(transitivity,[status(thm)],[8551, 8549])).
% 5.29/3.93 tff(8553,plain,
% 5.29/3.93 ((~![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))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(8554,plain,
% 5.29/3.93 ((~![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(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 5.29/3.93 tff(8555,plain,
% 5.29/3.93 (m_main_v_state2(s103, c_t2)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[8554, 563, 8454, 8533])).
% 5.29/3.93 tff(8556,plain,
% 5.29/3.93 (((~![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)))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(8557,plain,
% 5.29/3.93 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8558,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 5.29/3.94 tff(8559,plain,
% 5.29/3.94 (~m_main_v_state1(s102, c_t1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8558, 289, 8509])).
% 5.29/3.94 tff(8560,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8561,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8562,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8561, 8560])).
% 5.29/3.94 tff(8563,plain,
% 5.29/3.94 (~node5(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8562, 300, 8559])).
% 5.29/3.94 tff(8564,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8565,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8566,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8565, 8564])).
% 5.29/3.94 tff(8567,plain,
% 5.29/3.94 (~node4(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8566, 162, 8458])).
% 5.29/3.94 tff(8568,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8569,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8570,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 5.29/3.94 tff(8571,plain,
% 5.29/3.94 (~node3(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8570, 184, 8474])).
% 5.29/3.94 tff(8572,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8573,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8574,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8573, 8572])).
% 5.29/3.94 tff(8575,plain,
% 5.29/3.94 (~node2(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8574, 195, 8458])).
% 5.29/3.94 tff(8576,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8577,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8578,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 5.29/3.94 tff(8579,plain,
% 5.29/3.94 (~node1(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8578, 249, 8513])).
% 5.29/3.94 tff(8580,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8581,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8582,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 5.29/3.94 tff(8583,plain,
% 5.29/3.94 (node7(s102, s103)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8582, 217, 8524])).
% 5.29/3.94 tff(8584,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8585,plain,
% 5.29/3.94 (((~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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8586,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.29/3.94 inference(monotonicity,[status(thm)],[8585])).
% 5.29/3.94 tff(8587,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.94 inference(transitivity,[status(thm)],[8586, 8584])).
% 5.29/3.94 tff(8588,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8589,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8588, 8587])).
% 5.29/3.94 tff(8590,plain,
% 5.29/3.94 (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8589, 478, 8583])).
% 5.29/3.94 tff(8591,plain,
% 5.29/3.94 (m_main_v_state1(s103, c_n1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8590, 8579, 8509, 8575, 8571, 8567, 8563])).
% 5.29/3.94 tff(8592,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8593,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8594,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 5.29/3.94 tff(8595,plain,
% 5.29/3.94 (~node8(s103)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8594, 383, 8540])).
% 5.29/3.94 tff(8596,plain,
% 5.29/3.94 (succ(s103, s104) <=> succ(s103, s104)),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8597,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 5.29/3.94 tff(8598,plain,
% 5.29/3.94 (succ(s103, s104)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 5.29/3.94 tff(8599,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8600,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8601,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 5.29/3.94 tff(8602,plain,
% 5.29/3.94 (trans(s103, s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8601, 8598, 57])).
% 5.29/3.94 tff(8603,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8604,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8605,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 5.29/3.94 tff(8606,plain,
% 5.29/3.94 (node14(s103, s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8605, 130, 8602])).
% 5.29/3.94 tff(8607,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8608,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8609,plain,
% 5.29/3.94 ((~![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)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8608, 8607])).
% 5.29/3.94 tff(8610,plain,
% 5.29/3.94 ((~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)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8609, 704, 8606])).
% 5.29/3.94 tff(8611,plain,
% 5.29/3.94 (m_main_v_state2(s104, c_c2)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8610, 8595, 8591, 8555, 8548, 8544])).
% 5.29/3.94 tff(8612,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8613,plain,
% 5.29/3.94 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8614,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8613, 8612])).
% 5.29/3.94 tff(8615,plain,
% 5.29/3.94 (~m_main_v_state2(s104, c_t2)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8614, 173, 8611])).
% 5.29/3.94 tff(8616,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8617,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8618,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8617, 8616])).
% 5.29/3.94 tff(8619,plain,
% 5.29/3.94 (~node12(s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8618, 778, 8615])).
% 5.29/3.94 tff(8620,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8621,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8622,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 5.29/3.94 tff(8623,plain,
% 5.29/3.94 (node7(s103, s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8622, 217, 8602])).
% 5.29/3.94 tff(8624,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8625,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8626,plain,
% 5.29/3.94 ((~![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)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 5.29/3.94 tff(8627,plain,
% 5.29/3.94 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_state1(s104, c_t1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8626, 598, 8623])).
% 5.29/3.94 tff(8628,plain,
% 5.29/3.94 (m_main_v_state1(s104, c_t1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8627, 8555, 8591])).
% 5.29/3.94 tff(8629,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8630,plain,
% 5.29/3.94 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8631,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 5.29/3.94 tff(8632,plain,
% 5.29/3.94 (~m_main_v_state1(s104, c_n1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8631, 35, 8628])).
% 5.29/3.94 tff(8633,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8634,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8635,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 5.29/3.94 tff(8636,plain,
% 5.29/3.94 (~node11(s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8635, 361, 8632])).
% 5.29/3.94 tff(8637,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8638,plain,
% 5.29/3.94 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8639,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 5.29/3.94 tff(8640,plain,
% 5.29/3.94 (~m_main_v_state1(s104, c_c1)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8639, 289, 8628])).
% 5.29/3.94 tff(8641,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8642,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8643,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 5.29/3.94 tff(8644,plain,
% 5.29/3.94 (~node10(s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8643, 793, 8640])).
% 5.29/3.94 tff(8645,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8646,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8647,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 5.29/3.94 tff(8648,plain,
% 5.29/3.94 (~node9(s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8647, 804, 8632])).
% 5.29/3.94 tff(8649,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8650,plain,
% 5.29/3.94 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8651,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 5.29/3.94 tff(8652,plain,
% 5.29/3.94 (~m_main_v_state2(s104, c_n2)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8651, 716, 8611])).
% 5.29/3.94 tff(8653,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8654,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8655,plain,
% 5.29/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 5.29/3.94 tff(8656,plain,
% 5.29/3.94 (~node8(s104)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8655, 383, 8652])).
% 5.29/3.94 tff(8657,plain,
% 5.29/3.94 (succ(s104, s105) <=> succ(s104, s105)),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8658,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 5.29/3.94 tff(8659,plain,
% 5.29/3.94 (succ(s104, s105)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 5.29/3.94 tff(8660,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8661,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8662,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 5.29/3.94 tff(8663,plain,
% 5.29/3.94 (trans(s104, s105)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8662, 8659, 57])).
% 5.29/3.94 tff(8664,plain,
% 5.29/3.94 (((~![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))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8665,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8666,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105)),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 5.29/3.94 tff(8667,plain,
% 5.29/3.94 (node14(s104, s105)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8666, 130, 8663])).
% 5.29/3.94 tff(8668,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8669,plain,
% 5.29/3.94 (((~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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8670,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.29/3.94 inference(monotonicity,[status(thm)],[8669])).
% 5.29/3.94 tff(8671,plain,
% 5.29/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.29/3.94 inference(transitivity,[status(thm)],[8670, 8668])).
% 5.29/3.94 tff(8672,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8673,plain,
% 5.29/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 5.29/3.94 tff(8674,plain,
% 5.29/3.94 (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~m_main_v_state2(s104, c_c2))),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8673, 826, 8667])).
% 5.29/3.94 tff(8675,plain,
% 5.29/3.94 (m_main_v_state2(s105, c_n2)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8674, 8656, 8611, 8648, 8644, 8636, 8619])).
% 5.29/3.94 tff(8676,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(8677,plain,
% 5.29/3.94 ((~![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)))),
% 5.29/3.94 inference(quant_inst,[status(thm)],[])).
% 5.29/3.94 tff(8678,plain,
% 5.29/3.94 ((~![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))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 5.29/3.94 tff(8679,plain,
% 5.29/3.94 (~m_main_v_state2(s105, c_c2)),
% 5.29/3.94 inference(unit_resolution,[status(thm)],[8678, 716, 8675])).
% 5.29/3.94 tff(8680,plain,
% 5.29/3.94 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8681,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8682,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 5.29/3.95 tff(8683,plain,
% 5.29/3.95 (~node3(s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8682, 184, 8679])).
% 5.29/3.95 tff(8684,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8685,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8686,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 5.29/3.95 tff(8687,plain,
% 5.29/3.95 (~node1(s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8686, 249, 8632])).
% 5.29/3.95 tff(8688,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8689,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8690,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 5.29/3.95 tff(8691,plain,
% 5.29/3.95 (node18(s103, s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8690, 71, 8602])).
% 5.29/3.95 tff(8692,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8693,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8694,plain,
% 5.29/3.95 ((~![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)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 5.29/3.95 tff(8695,plain,
% 5.29/3.95 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_turn(s104, c_2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8694, 625, 8691])).
% 5.29/3.95 tff(8696,plain,
% 5.29/3.95 (m_main_v_turn(s104, c_2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8695, 8555, 8591])).
% 5.29/3.95 tff(8697,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8698,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8699,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 5.29/3.95 tff(8700,plain,
% 5.29/3.95 (~m_main_v_turn(s104, c_1)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8699, 322, 8696])).
% 5.29/3.95 tff(8701,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8702,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8703,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 5.29/3.95 tff(8704,plain,
% 5.29/3.95 (~node5(s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8703, 641, 8700])).
% 5.29/3.95 tff(8705,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8706,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8707,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 5.29/3.95 tff(8708,plain,
% 5.29/3.95 (~node2(s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8707, 652, 8632])).
% 5.29/3.95 tff(8709,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8710,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8711,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 5.29/3.95 tff(8712,plain,
% 5.29/3.95 (~node3(s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8711, 663, 8632])).
% 5.29/3.95 tff(8713,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8714,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8715,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 5.29/3.95 tff(8716,plain,
% 5.29/3.95 (~node4(s104)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8715, 162, 8652])).
% 5.29/3.95 tff(8717,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8718,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8719,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 5.29/3.95 tff(8720,plain,
% 5.29/3.95 (node7(s104, s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8719, 217, 8663])).
% 5.29/3.95 tff(8721,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8722,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8723,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 5.29/3.95 tff(8724,plain,
% 5.29/3.95 (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8723, 745, 8720])).
% 5.29/3.95 tff(8725,plain,
% 5.29/3.95 (node6(s104, s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8724, 8716, 8640, 8712, 8708, 8704, 8687])).
% 5.29/3.95 tff(8726,plain,
% 5.29/3.95 (((~![V: $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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8727,plain,
% 5.29/3.95 (((~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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8728,plain,
% 5.29/3.95 (((~![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))))),
% 5.29/3.95 inference(monotonicity,[status(thm)],[8727])).
% 5.29/3.95 tff(8729,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(transitivity,[status(thm)],[8728, 8726])).
% 5.29/3.95 tff(8730,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8731,plain,
% 5.29/3.95 ((~![V: $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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 5.29/3.95 tff(8732,plain,
% 5.29/3.95 (~m_main_v_state1(s105, c_n1)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8731, 936, 8632, 8725])).
% 5.29/3.95 tff(8733,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8734,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8735,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8734, 8733])).
% 5.29/3.95 tff(8736,plain,
% 5.29/3.95 (~node2(s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8735, 652, 8732])).
% 5.29/3.95 tff(8737,plain,
% 5.29/3.95 (((~![V: $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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8738,plain,
% 5.29/3.95 (((~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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8739,plain,
% 5.29/3.95 (((~![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))))),
% 5.29/3.95 inference(monotonicity,[status(thm)],[8738])).
% 5.29/3.95 tff(8740,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(transitivity,[status(thm)],[8739, 8737])).
% 5.29/3.95 tff(8741,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8742,plain,
% 5.29/3.95 ((~![V: $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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 5.29/3.95 tff(8743,plain,
% 5.29/3.95 (m_main_v_state1(s105, c_t1)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8742, 760, 8628, 8725])).
% 5.29/3.95 tff(8744,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8745,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8746,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 5.29/3.95 tff(8747,plain,
% 5.29/3.95 (~m_main_v_state2(s105, c_t2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8746, 10, 8675])).
% 5.29/3.95 tff(8748,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8749,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8750,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 5.29/3.95 tff(8751,plain,
% 5.29/3.95 (~node1(s105)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8750, 206, 8747])).
% 5.29/3.95 tff(8752,plain,
% 5.29/3.95 (succ(s105, s106) <=> succ(s105, s106)),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8753,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 5.29/3.95 tff(8754,plain,
% 5.29/3.95 (succ(s105, s106)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 5.29/3.95 tff(8755,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8756,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8757,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 5.29/3.95 tff(8758,plain,
% 5.29/3.95 (trans(s105, s106)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8757, 8754, 57])).
% 5.29/3.95 tff(8759,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8760,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8761,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 5.29/3.95 tff(8762,plain,
% 5.29/3.95 (node7(s105, s106)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8761, 217, 8758])).
% 5.29/3.95 tff(8763,plain,
% 5.29/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8764,plain,
% 5.29/3.95 (((~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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8765,plain,
% 5.29/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.29/3.95 inference(monotonicity,[status(thm)],[8764])).
% 5.29/3.95 tff(8766,plain,
% 5.29/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.95 inference(transitivity,[status(thm)],[8765, 8763])).
% 5.29/3.95 tff(8767,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8768,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 5.29/3.95 tff(8769,plain,
% 5.29/3.95 ((~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)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8768, 965, 8762])).
% 5.29/3.95 tff(8770,plain,
% 5.29/3.95 (m_main_v_state1(s106, c_c1)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8769, 8751, 8675, 8743, 8736, 8683])).
% 5.29/3.95 tff(8771,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8772,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8773,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 5.29/3.95 tff(8774,plain,
% 5.29/3.95 (~m_main_v_state1(s106, c_t1)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8773, 289, 8770])).
% 5.29/3.95 tff(8775,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8776,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8777,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8776, 8775])).
% 5.29/3.95 tff(8778,plain,
% 5.29/3.95 (~node5(s106)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8777, 300, 8774])).
% 5.29/3.95 tff(8779,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8780,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8781,plain,
% 5.29/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 5.29/3.95 tff(8782,plain,
% 5.29/3.95 (node14(s105, s106)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8781, 130, 8758])).
% 5.29/3.95 tff(8783,plain,
% 5.29/3.95 (((~![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))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8784,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8785,plain,
% 5.29/3.95 ((~![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)),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 5.29/3.95 tff(8786,plain,
% 5.29/3.95 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state2(s106, c_t2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8785, 893, 8782])).
% 5.29/3.95 tff(8787,plain,
% 5.29/3.95 (m_main_v_state2(s106, c_t2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8786, 8743, 8675])).
% 5.29/3.95 tff(8788,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8789,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8790,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 5.29/3.95 tff(8791,plain,
% 5.29/3.95 (~m_main_v_state2(s106, c_n2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8790, 10, 8787])).
% 5.29/3.95 tff(8792,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8793,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8794,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 5.29/3.95 tff(8795,plain,
% 5.29/3.95 (~node4(s106)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8794, 162, 8791])).
% 5.29/3.95 tff(8796,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8797,plain,
% 5.29/3.95 ((~![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)))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(8798,plain,
% 5.29/3.95 ((~![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))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 5.29/3.95 tff(8799,plain,
% 5.29/3.95 (~m_main_v_state2(s106, c_c2)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[8798, 173, 8787])).
% 5.29/3.95 tff(8800,plain,
% 5.29/3.95 (((~![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)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(8801,plain,
% 5.29/3.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8802,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 5.29/3.96 tff(8803,plain,
% 5.29/3.96 (~node3(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8802, 184, 8799])).
% 5.29/3.96 tff(8804,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8805,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8806,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 5.29/3.96 tff(8807,plain,
% 5.29/3.96 (~node2(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8806, 195, 8791])).
% 5.29/3.96 tff(8808,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8809,plain,
% 5.29/3.96 ((~![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)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8810,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 5.29/3.96 tff(8811,plain,
% 5.29/3.96 (~m_main_v_state1(s106, c_n1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8810, 449, 8770])).
% 5.29/3.96 tff(8812,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8813,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8814,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 5.29/3.96 tff(8815,plain,
% 5.29/3.96 (~node1(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8814, 249, 8811])).
% 5.29/3.96 tff(8816,plain,
% 5.29/3.96 (succ(s106, s107) <=> succ(s106, s107)),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8817,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 5.29/3.96 tff(8818,plain,
% 5.29/3.96 (succ(s106, s107)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 5.29/3.96 tff(8819,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8820,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8821,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 5.29/3.96 tff(8822,plain,
% 5.29/3.96 (trans(s106, s107)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8821, 8818, 57])).
% 5.29/3.96 tff(8823,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8824,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8825,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 5.29/3.96 tff(8826,plain,
% 5.29/3.96 (node7(s106, s107)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8825, 217, 8822])).
% 5.29/3.96 tff(8827,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8828,plain,
% 5.29/3.96 (((~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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8829,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.29/3.96 inference(monotonicity,[status(thm)],[8828])).
% 5.29/3.96 tff(8830,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.96 inference(transitivity,[status(thm)],[8829, 8827])).
% 5.29/3.96 tff(8831,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8832,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 5.29/3.96 tff(8833,plain,
% 5.29/3.96 (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8832, 478, 8826])).
% 5.29/3.96 tff(8834,plain,
% 5.29/3.96 (m_main_v_state1(s107, c_n1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8833, 8815, 8770, 8807, 8803, 8795, 8778])).
% 5.29/3.96 tff(8835,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8836,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8837,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 5.29/3.96 tff(8838,plain,
% 5.29/3.96 (~node15(s105)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8837, 21, 8747])).
% 5.29/3.96 tff(8839,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8840,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8841,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 5.29/3.96 tff(8842,plain,
% 5.29/3.96 (node18(s105, s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8841, 71, 8758])).
% 5.29/3.96 tff(8843,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8844,plain,
% 5.29/3.96 (((~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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8845,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.29/3.96 inference(monotonicity,[status(thm)],[8844])).
% 5.29/3.96 tff(8846,plain,
% 5.29/3.96 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.96 inference(transitivity,[status(thm)],[8845, 8843])).
% 5.29/3.96 tff(8847,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8848,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 5.29/3.96 tff(8849,plain,
% 5.29/3.96 (node15(s105) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8848, 863, 8842])).
% 5.29/3.96 tff(8850,plain,
% 5.29/3.96 (m_main_v_turn(s106, c_1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8849, 8838, 8675, 8743])).
% 5.29/3.96 tff(8851,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8852,plain,
% 5.29/3.96 ((~![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)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8853,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 5.29/3.96 tff(8854,plain,
% 5.29/3.96 (~m_main_v_turn(s106, c_2)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8853, 322, 8850])).
% 5.29/3.96 tff(8855,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8856,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8857,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 5.29/3.96 tff(8858,plain,
% 5.29/3.96 (~node12(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8857, 350, 8854])).
% 5.29/3.96 tff(8859,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8860,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8861,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 5.29/3.96 tff(8862,plain,
% 5.29/3.96 (~node8(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8861, 383, 8791])).
% 5.29/3.96 tff(8863,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8864,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8865,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 5.29/3.96 tff(8866,plain,
% 5.29/3.96 (~node9(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8865, 311, 8791])).
% 5.29/3.96 tff(8867,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8868,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8869,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 5.29/3.96 tff(8870,plain,
% 5.29/3.96 (~node10(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8869, 372, 8791])).
% 5.29/3.96 tff(8871,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8872,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8873,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8872, 8871])).
% 5.29/3.96 tff(8874,plain,
% 5.29/3.96 (~node11(s106)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8873, 361, 8811])).
% 5.29/3.96 tff(8875,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8876,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8877,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 5.29/3.96 tff(8878,plain,
% 5.29/3.96 (node14(s106, s107)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8877, 130, 8822])).
% 5.29/3.96 tff(8879,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8880,plain,
% 5.29/3.96 ((~![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)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8881,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 5.29/3.96 tff(8882,plain,
% 5.29/3.96 (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8881, 401, 8878])).
% 5.29/3.96 tff(8883,plain,
% 5.29/3.96 (node13(s106, s107)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8882, 8874, 8799, 8870, 8866, 8862, 8858])).
% 5.29/3.96 tff(8884,plain,
% 5.29/3.96 (((~![V: $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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8885,plain,
% 5.29/3.96 (((~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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8886,plain,
% 5.29/3.96 (((~![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))))),
% 5.29/3.96 inference(monotonicity,[status(thm)],[8885])).
% 5.29/3.96 tff(8887,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(transitivity,[status(thm)],[8886, 8884])).
% 5.29/3.96 tff(8888,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8889,plain,
% 5.29/3.96 ((~![V: $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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 5.29/3.96 tff(8890,plain,
% 5.29/3.96 (m_main_v_state2(s107, c_t2)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8889, 563, 8787, 8883])).
% 5.29/3.96 tff(8891,plain,
% 5.29/3.96 (succ(s107, s108) <=> succ(s107, s108)),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8892,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 5.29/3.96 tff(8893,plain,
% 5.29/3.96 (succ(s107, s108)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 5.29/3.96 tff(8894,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8895,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8896,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 5.29/3.96 tff(8897,plain,
% 5.29/3.96 (trans(s107, s108)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8896, 8893, 57])).
% 5.29/3.96 tff(8898,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8899,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8900,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 5.29/3.96 tff(8901,plain,
% 5.29/3.96 (node7(s107, s108)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8900, 217, 8897])).
% 5.29/3.96 tff(8902,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8903,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8904,plain,
% 5.29/3.96 ((~![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)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 5.29/3.96 tff(8905,plain,
% 5.29/3.96 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_state1(s108, c_t1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8904, 598, 8901])).
% 5.29/3.96 tff(8906,plain,
% 5.29/3.96 (m_main_v_state1(s108, c_t1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8905, 8890, 8834])).
% 5.29/3.96 tff(8907,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8908,plain,
% 5.29/3.96 ((~![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)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8909,plain,
% 5.29/3.96 ((~![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))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 5.29/3.96 tff(8910,plain,
% 5.29/3.96 (~m_main_v_state1(s108, c_n1)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8909, 35, 8906])).
% 5.29/3.96 tff(8911,plain,
% 5.29/3.96 (((~![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)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8912,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8913,plain,
% 5.29/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108))),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 5.29/3.96 tff(8914,plain,
% 5.29/3.96 (~node1(s108)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8913, 249, 8910])).
% 5.29/3.96 tff(8915,plain,
% 5.29/3.96 (((~![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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8916,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8917,plain,
% 5.29/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 5.29/3.96 tff(8918,plain,
% 5.29/3.96 (node18(s107, s108)),
% 5.29/3.96 inference(unit_resolution,[status(thm)],[8917, 71, 8897])).
% 5.29/3.96 tff(8919,plain,
% 5.29/3.96 (((~![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(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))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(8920,plain,
% 5.29/3.96 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 5.29/3.96 inference(quant_inst,[status(thm)],[])).
% 5.29/3.96 tff(8921,plain,
% 5.29/3.96 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2)),
% 5.29/3.96 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 5.29/3.96 tff(8922,plain,
% 5.29/3.96 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_turn(s108, c_2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8921, 625, 8918])).
% 5.29/3.97 tff(8923,plain,
% 5.29/3.97 (m_main_v_turn(s108, c_2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8922, 8890, 8834])).
% 5.29/3.97 tff(8924,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8925,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8926,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 5.29/3.97 tff(8927,plain,
% 5.29/3.97 (~m_main_v_turn(s108, c_1)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8926, 322, 8923])).
% 5.29/3.97 tff(8928,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8929,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8930,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 5.29/3.97 tff(8931,plain,
% 5.29/3.97 (~node5(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8930, 641, 8927])).
% 5.29/3.97 tff(8932,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8933,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8934,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 5.29/3.97 tff(8935,plain,
% 5.29/3.97 (~node2(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8934, 652, 8910])).
% 5.29/3.97 tff(8936,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8937,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8938,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 5.29/3.97 tff(8939,plain,
% 5.29/3.97 (~node3(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8938, 663, 8910])).
% 5.29/3.97 tff(8940,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8941,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8942,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 5.29/3.97 tff(8943,plain,
% 5.29/3.97 (~m_main_v_state1(s108, c_c1)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8942, 289, 8906])).
% 5.29/3.97 tff(8944,plain,
% 5.29/3.97 (((~![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(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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8945,plain,
% 5.29/3.97 (((~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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8946,plain,
% 5.29/3.97 (((~![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))))),
% 5.29/3.97 inference(monotonicity,[status(thm)],[8945])).
% 5.29/3.97 tff(8947,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(transitivity,[status(thm)],[8946, 8944])).
% 5.29/3.97 tff(8948,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8949,plain,
% 5.29/3.97 ((~![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(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 5.29/3.97 tff(8950,plain,
% 5.29/3.97 (~m_main_v_state2(s107, c_n2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8949, 416, 8791, 8883])).
% 5.29/3.97 tff(8951,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8952,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8953,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 5.29/3.97 tff(8954,plain,
% 5.29/3.97 (~node9(s107)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8953, 311, 8950])).
% 5.29/3.97 tff(8955,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8956,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8957,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 5.29/3.97 tff(8958,plain,
% 5.29/3.97 (~node10(s107)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8957, 372, 8950])).
% 5.29/3.97 tff(8959,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8960,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8961,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 5.29/3.97 tff(8962,plain,
% 5.29/3.97 (~node8(s107)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8961, 383, 8950])).
% 5.29/3.97 tff(8963,plain,
% 5.29/3.97 (((~![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))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8964,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8965,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 5.29/3.97 tff(8966,plain,
% 5.29/3.97 (node14(s107, s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8965, 130, 8897])).
% 5.29/3.97 tff(8967,plain,
% 5.29/3.97 (((~![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))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8968,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8969,plain,
% 5.29/3.97 ((~![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)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 5.29/3.97 tff(8970,plain,
% 5.29/3.97 ((~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)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8969, 704, 8966])).
% 5.29/3.97 tff(8971,plain,
% 5.29/3.97 (m_main_v_state2(s108, c_c2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8970, 8962, 8834, 8890, 8958, 8954])).
% 5.29/3.97 tff(8972,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8973,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8974,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 5.29/3.97 tff(8975,plain,
% 5.29/3.97 (~m_main_v_state2(s108, c_n2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8974, 716, 8971])).
% 5.29/3.97 tff(8976,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8977,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8978,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 5.29/3.97 tff(8979,plain,
% 5.29/3.97 (~node4(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8978, 162, 8975])).
% 5.29/3.97 tff(8980,plain,
% 5.29/3.97 (succ(s108, s109) <=> succ(s108, s109)),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8981,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 5.29/3.97 tff(8982,plain,
% 5.29/3.97 (succ(s108, s109)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 5.29/3.97 tff(8983,plain,
% 5.29/3.97 (((~![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))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8984,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8985,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8984, 8983])).
% 5.29/3.97 tff(8986,plain,
% 5.29/3.97 (trans(s108, s109)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8985, 8982, 57])).
% 5.29/3.97 tff(8987,plain,
% 5.29/3.97 (((~![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))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8988,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8989,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 5.29/3.97 tff(8990,plain,
% 5.29/3.97 (node7(s108, s109)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8989, 217, 8986])).
% 5.29/3.97 tff(8991,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8992,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(8993,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[8992, 8991])).
% 5.29/3.97 tff(8994,plain,
% 5.29/3.97 (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8993, 745, 8990])).
% 5.29/3.97 tff(8995,plain,
% 5.29/3.97 (node6(s108, s109)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[8994, 8979, 8943, 8939, 8935, 8931, 8914])).
% 5.29/3.97 tff(8996,plain,
% 5.29/3.97 (((~![V: $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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8997,plain,
% 5.29/3.97 (((~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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(8998,plain,
% 5.29/3.97 (((~![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))))),
% 5.29/3.97 inference(monotonicity,[status(thm)],[8997])).
% 5.29/3.97 tff(8999,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(transitivity,[status(thm)],[8998, 8996])).
% 5.29/3.97 tff(9000,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9001,plain,
% 5.29/3.97 ((~![V: $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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 5.29/3.97 tff(9002,plain,
% 5.29/3.97 (m_main_v_state1(s109, c_t1)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9001, 760, 8906, 8995])).
% 5.29/3.97 tff(9003,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9004,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9005,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 5.29/3.97 tff(9006,plain,
% 5.29/3.97 (~m_main_v_state2(s108, c_t2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9005, 173, 8971])).
% 5.29/3.97 tff(9007,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9008,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9009,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 5.29/3.97 tff(9010,plain,
% 5.29/3.97 (~node12(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9009, 778, 9006])).
% 5.29/3.97 tff(9011,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9012,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9013,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 5.29/3.97 tff(9014,plain,
% 5.29/3.97 (~node11(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9013, 361, 8910])).
% 5.29/3.97 tff(9015,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9016,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9017,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 5.29/3.97 tff(9018,plain,
% 5.29/3.97 (~node10(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9017, 793, 8943])).
% 5.29/3.97 tff(9019,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9020,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9021,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 5.29/3.97 tff(9022,plain,
% 5.29/3.97 (~node9(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9021, 804, 8910])).
% 5.29/3.97 tff(9023,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9024,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9025,plain,
% 5.29/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 5.29/3.97 tff(9026,plain,
% 5.29/3.97 (~node8(s108)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9025, 383, 8975])).
% 5.29/3.97 tff(9027,plain,
% 5.29/3.97 (((~![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))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9028,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9029,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109)),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 5.29/3.97 tff(9030,plain,
% 5.29/3.97 (node14(s108, s109)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9029, 130, 8986])).
% 5.29/3.97 tff(9031,plain,
% 5.29/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9032,plain,
% 5.29/3.97 (((~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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9033,plain,
% 5.29/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.29/3.97 inference(monotonicity,[status(thm)],[9032])).
% 5.29/3.97 tff(9034,plain,
% 5.29/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.29/3.97 inference(transitivity,[status(thm)],[9033, 9031])).
% 5.29/3.97 tff(9035,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9036,plain,
% 5.29/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 5.29/3.97 tff(9037,plain,
% 5.29/3.97 (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~m_main_v_state2(s108, c_c2))),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9036, 826, 9030])).
% 5.29/3.97 tff(9038,plain,
% 5.29/3.97 (m_main_v_state2(s109, c_n2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9037, 9026, 8971, 9022, 9018, 9014, 9010])).
% 5.29/3.97 tff(9039,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9040,plain,
% 5.29/3.97 ((~![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)))),
% 5.29/3.97 inference(quant_inst,[status(thm)],[])).
% 5.29/3.97 tff(9041,plain,
% 5.29/3.97 ((~![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))),
% 5.29/3.97 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 5.29/3.97 tff(9042,plain,
% 5.29/3.97 (~m_main_v_state2(s109, c_t2)),
% 5.29/3.97 inference(unit_resolution,[status(thm)],[9041, 10, 9038])).
% 5.29/3.97 tff(9043,plain,
% 5.29/3.97 (((~![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)))),
% 5.29/3.97 inference(rewrite,[status(thm)],[])).
% 5.29/3.97 tff(9044,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9045,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 5.29/3.98 tff(9046,plain,
% 5.29/3.98 (~node15(s109)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9045, 21, 9042])).
% 5.29/3.98 tff(9047,plain,
% 5.29/3.98 (succ(s109, s110) <=> succ(s109, s110)),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9048,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 5.29/3.98 tff(9049,plain,
% 5.29/3.98 (succ(s109, s110)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 5.29/3.98 tff(9050,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9051,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9052,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 5.29/3.98 tff(9053,plain,
% 5.29/3.98 (trans(s109, s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9052, 9049, 57])).
% 5.29/3.98 tff(9054,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9055,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9056,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9055, 9054])).
% 5.29/3.98 tff(9057,plain,
% 5.29/3.98 (node18(s109, s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9056, 71, 9053])).
% 5.29/3.98 tff(9058,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9059,plain,
% 5.29/3.98 (((~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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9060,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.29/3.98 inference(monotonicity,[status(thm)],[9059])).
% 5.29/3.98 tff(9061,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.98 inference(transitivity,[status(thm)],[9060, 9058])).
% 5.29/3.98 tff(9062,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9063,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 5.29/3.98 tff(9064,plain,
% 5.29/3.98 (node15(s109) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9063, 863, 9057])).
% 5.29/3.98 tff(9065,plain,
% 5.29/3.98 (m_main_v_turn(s110, c_1)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9064, 9046, 9038, 9002])).
% 5.29/3.98 tff(9066,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9067,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9068,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 5.29/3.98 tff(9069,plain,
% 5.29/3.98 (~m_main_v_turn(s110, c_2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9068, 322, 9065])).
% 5.29/3.98 tff(9070,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9071,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9072,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9071, 9070])).
% 5.29/3.98 tff(9073,plain,
% 5.29/3.98 (~node12(s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9072, 350, 9069])).
% 5.29/3.98 tff(9074,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9075,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9076,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 5.29/3.98 tff(9077,plain,
% 5.29/3.98 (node14(s109, s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9076, 130, 9053])).
% 5.29/3.98 tff(9078,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9079,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9080,plain,
% 5.29/3.98 ((~![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)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 5.29/3.98 tff(9081,plain,
% 5.29/3.98 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state2(s110, c_t2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9080, 893, 9077])).
% 5.29/3.98 tff(9082,plain,
% 5.29/3.98 (m_main_v_state2(s110, c_t2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9081, 9002, 9038])).
% 5.29/3.98 tff(9083,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9084,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9085,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9084, 9083])).
% 5.29/3.98 tff(9086,plain,
% 5.29/3.98 (~m_main_v_state2(s110, c_n2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9085, 10, 9082])).
% 5.29/3.98 tff(9087,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9088,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9089,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 5.29/3.98 tff(9090,plain,
% 5.29/3.98 (~node8(s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9089, 383, 9086])).
% 5.29/3.98 tff(9091,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9092,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9093,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9092, 9091])).
% 5.29/3.98 tff(9094,plain,
% 5.29/3.98 (~node9(s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9093, 311, 9086])).
% 5.29/3.98 tff(9095,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9096,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9097,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 5.29/3.98 tff(9098,plain,
% 5.29/3.98 (~node10(s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9097, 372, 9086])).
% 5.29/3.98 tff(9099,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9100,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9101,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 5.29/3.98 tff(9102,plain,
% 5.29/3.98 (~m_main_v_state2(s110, c_c2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9101, 173, 9082])).
% 5.29/3.98 tff(9103,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9104,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9105,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 5.29/3.98 tff(9106,plain,
% 5.29/3.98 (~m_main_v_state2(s109, c_c2)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9105, 716, 9038])).
% 5.29/3.98 tff(9107,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9108,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9109,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 5.29/3.98 tff(9110,plain,
% 5.29/3.98 (~node3(s109)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9109, 184, 9106])).
% 5.29/3.98 tff(9111,plain,
% 5.29/3.98 (((~![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(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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9112,plain,
% 5.29/3.98 (((~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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9113,plain,
% 5.29/3.98 (((~![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))))),
% 5.29/3.98 inference(monotonicity,[status(thm)],[9112])).
% 5.29/3.98 tff(9114,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(transitivity,[status(thm)],[9113, 9111])).
% 5.29/3.98 tff(9115,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9116,plain,
% 5.29/3.98 ((~![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(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 5.29/3.98 tff(9117,plain,
% 5.29/3.98 (~m_main_v_state1(s109, c_n1)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9116, 936, 8910, 8995])).
% 5.29/3.98 tff(9118,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9119,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9120,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 5.29/3.98 tff(9121,plain,
% 5.29/3.98 (~node2(s109)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9120, 652, 9117])).
% 5.29/3.98 tff(9122,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9123,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9124,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 5.29/3.98 tff(9125,plain,
% 5.29/3.98 (~node1(s109)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9124, 206, 9042])).
% 5.29/3.98 tff(9126,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9127,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9128,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 5.29/3.98 tff(9129,plain,
% 5.29/3.98 (node7(s109, s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9128, 217, 9053])).
% 5.29/3.98 tff(9130,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9131,plain,
% 5.29/3.98 (((~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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9132,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.29/3.98 inference(monotonicity,[status(thm)],[9131])).
% 5.29/3.98 tff(9133,plain,
% 5.29/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.29/3.98 inference(transitivity,[status(thm)],[9132, 9130])).
% 5.29/3.98 tff(9134,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9135,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 5.29/3.98 tff(9136,plain,
% 5.29/3.98 ((~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)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9135, 965, 9129])).
% 5.29/3.98 tff(9137,plain,
% 5.29/3.98 (m_main_v_state1(s110, c_c1)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9136, 9125, 9038, 9002, 9121, 9110])).
% 5.29/3.98 tff(9138,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9139,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9140,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 5.29/3.98 tff(9141,plain,
% 5.29/3.98 (~m_main_v_state1(s110, c_n1)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9140, 449, 9137])).
% 5.29/3.98 tff(9142,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9143,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9144,plain,
% 5.29/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 5.29/3.98 tff(9145,plain,
% 5.29/3.98 (~node11(s110)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9144, 361, 9141])).
% 5.29/3.98 tff(9146,plain,
% 5.29/3.98 (succ(s110, s111) <=> succ(s110, s111)),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9147,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 5.29/3.98 tff(9148,plain,
% 5.29/3.98 (succ(s110, s111)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 5.29/3.98 tff(9149,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9150,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9151,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 5.29/3.98 tff(9152,plain,
% 5.29/3.98 (trans(s110, s111)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9151, 9148, 57])).
% 5.29/3.98 tff(9153,plain,
% 5.29/3.98 (((~![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))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9154,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9155,plain,
% 5.29/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111)),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 5.29/3.98 tff(9156,plain,
% 5.29/3.98 (node14(s110, s111)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9155, 130, 9152])).
% 5.29/3.98 tff(9157,plain,
% 5.29/3.98 (((~![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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9158,plain,
% 5.29/3.98 ((~![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)))),
% 5.29/3.98 inference(quant_inst,[status(thm)],[])).
% 5.29/3.98 tff(9159,plain,
% 5.29/3.98 ((~![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))),
% 5.29/3.98 inference(modus_ponens,[status(thm)],[9158, 9157])).
% 5.29/3.98 tff(9160,plain,
% 5.29/3.98 (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9159, 401, 9156])).
% 5.29/3.98 tff(9161,plain,
% 5.29/3.98 (node13(s110, s111)),
% 5.29/3.98 inference(unit_resolution,[status(thm)],[9160, 9145, 9102, 9098, 9094, 9090, 9073])).
% 5.29/3.98 tff(9162,plain,
% 5.29/3.98 (((~![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(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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.98 tff(9163,plain,
% 5.29/3.98 (((~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)))),
% 5.29/3.98 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9164,plain,
% 5.29/3.99 (((~![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))))),
% 5.29/3.99 inference(monotonicity,[status(thm)],[9163])).
% 5.29/3.99 tff(9165,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(transitivity,[status(thm)],[9164, 9162])).
% 5.29/3.99 tff(9166,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9167,plain,
% 5.29/3.99 ((~![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(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 5.29/3.99 tff(9168,plain,
% 5.29/3.99 (~m_main_v_state2(s111, c_n2)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9167, 416, 9086, 9161])).
% 5.29/3.99 tff(9169,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9170,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9171,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 5.29/3.99 tff(9172,plain,
% 5.29/3.99 (~node9(s111)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9171, 311, 9168])).
% 5.29/3.99 tff(9173,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9174,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9175,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 5.29/3.99 tff(9176,plain,
% 5.29/3.99 (~node10(s111)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9175, 372, 9168])).
% 5.29/3.99 tff(9177,plain,
% 5.29/3.99 (((~![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(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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9178,plain,
% 5.29/3.99 (((~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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9179,plain,
% 5.29/3.99 (((~![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))))),
% 5.29/3.99 inference(monotonicity,[status(thm)],[9178])).
% 5.29/3.99 tff(9180,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(transitivity,[status(thm)],[9179, 9177])).
% 5.29/3.99 tff(9181,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9182,plain,
% 5.29/3.99 ((~![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(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 5.29/3.99 tff(9183,plain,
% 5.29/3.99 (m_main_v_state2(s111, c_t2)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9182, 563, 9082, 9161])).
% 5.29/3.99 tff(9184,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9185,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9186,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 5.29/3.99 tff(9187,plain,
% 5.29/3.99 (~m_main_v_state1(s110, c_t1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9186, 289, 9137])).
% 5.29/3.99 tff(9188,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9189,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9190,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 5.29/3.99 tff(9191,plain,
% 5.29/3.99 (~node5(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9190, 300, 9187])).
% 5.29/3.99 tff(9192,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9193,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9194,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 5.29/3.99 tff(9195,plain,
% 5.29/3.99 (~node4(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9194, 162, 9086])).
% 5.29/3.99 tff(9196,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9197,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9198,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 5.29/3.99 tff(9199,plain,
% 5.29/3.99 (~node3(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9198, 184, 9102])).
% 5.29/3.99 tff(9200,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9201,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9202,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9201, 9200])).
% 5.29/3.99 tff(9203,plain,
% 5.29/3.99 (~node2(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9202, 195, 9086])).
% 5.29/3.99 tff(9204,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9205,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9206,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 5.29/3.99 tff(9207,plain,
% 5.29/3.99 (~node1(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9206, 249, 9141])).
% 5.29/3.99 tff(9208,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9209,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9210,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 5.29/3.99 tff(9211,plain,
% 5.29/3.99 (node7(s110, s111)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9210, 217, 9152])).
% 5.29/3.99 tff(9212,plain,
% 5.29/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9213,plain,
% 5.29/3.99 (((~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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9214,plain,
% 5.29/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.29/3.99 inference(monotonicity,[status(thm)],[9213])).
% 5.29/3.99 tff(9215,plain,
% 5.29/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/3.99 inference(transitivity,[status(thm)],[9214, 9212])).
% 5.29/3.99 tff(9216,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9217,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 5.29/3.99 tff(9218,plain,
% 5.29/3.99 (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9217, 478, 9211])).
% 5.29/3.99 tff(9219,plain,
% 5.29/3.99 (m_main_v_state1(s111, c_n1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9218, 9207, 9137, 9203, 9199, 9195, 9191])).
% 5.29/3.99 tff(9220,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9221,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9222,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 5.29/3.99 tff(9223,plain,
% 5.29/3.99 (~node8(s111)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9222, 383, 9168])).
% 5.29/3.99 tff(9224,plain,
% 5.29/3.99 (succ(s111, s112) <=> succ(s111, s112)),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9225,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 5.29/3.99 tff(9226,plain,
% 5.29/3.99 (succ(s111, s112)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 5.29/3.99 tff(9227,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9228,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9229,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 5.29/3.99 tff(9230,plain,
% 5.29/3.99 (trans(s111, s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9229, 9226, 57])).
% 5.29/3.99 tff(9231,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9232,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9233,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 5.29/3.99 tff(9234,plain,
% 5.29/3.99 (node14(s111, s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9233, 130, 9230])).
% 5.29/3.99 tff(9235,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9236,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9237,plain,
% 5.29/3.99 ((~![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)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 5.29/3.99 tff(9238,plain,
% 5.29/3.99 ((~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)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9237, 704, 9234])).
% 5.29/3.99 tff(9239,plain,
% 5.29/3.99 (m_main_v_state2(s112, c_c2)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9238, 9223, 9219, 9183, 9176, 9172])).
% 5.29/3.99 tff(9240,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9241,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9242,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 5.29/3.99 tff(9243,plain,
% 5.29/3.99 (~m_main_v_state2(s112, c_t2)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9242, 173, 9239])).
% 5.29/3.99 tff(9244,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9245,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9246,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 5.29/3.99 tff(9247,plain,
% 5.29/3.99 (~node12(s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9246, 778, 9243])).
% 5.29/3.99 tff(9248,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9249,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9250,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 5.29/3.99 tff(9251,plain,
% 5.29/3.99 (node7(s111, s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9250, 217, 9230])).
% 5.29/3.99 tff(9252,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9253,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9254,plain,
% 5.29/3.99 ((~![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)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 5.29/3.99 tff(9255,plain,
% 5.29/3.99 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_state1(s112, c_t1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9254, 598, 9251])).
% 5.29/3.99 tff(9256,plain,
% 5.29/3.99 (m_main_v_state1(s112, c_t1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9255, 9183, 9219])).
% 5.29/3.99 tff(9257,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9258,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9259,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9258, 9257])).
% 5.29/3.99 tff(9260,plain,
% 5.29/3.99 (~m_main_v_state1(s112, c_n1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9259, 35, 9256])).
% 5.29/3.99 tff(9261,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9262,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9263,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 5.29/3.99 tff(9264,plain,
% 5.29/3.99 (~node11(s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9263, 361, 9260])).
% 5.29/3.99 tff(9265,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9266,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9267,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 5.29/3.99 tff(9268,plain,
% 5.29/3.99 (~m_main_v_state1(s112, c_c1)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9267, 289, 9256])).
% 5.29/3.99 tff(9269,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9270,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9271,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 5.29/3.99 tff(9272,plain,
% 5.29/3.99 (~node10(s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9271, 793, 9268])).
% 5.29/3.99 tff(9273,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9274,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9275,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 5.29/3.99 tff(9276,plain,
% 5.29/3.99 (~node9(s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9275, 804, 9260])).
% 5.29/3.99 tff(9277,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9278,plain,
% 5.29/3.99 ((~![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)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9279,plain,
% 5.29/3.99 ((~![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))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 5.29/3.99 tff(9280,plain,
% 5.29/3.99 (~m_main_v_state2(s112, c_n2)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9279, 716, 9239])).
% 5.29/3.99 tff(9281,plain,
% 5.29/3.99 (((~![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)))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9282,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 5.29/3.99 inference(quant_inst,[status(thm)],[])).
% 5.29/3.99 tff(9283,plain,
% 5.29/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112))),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 5.29/3.99 tff(9284,plain,
% 5.29/3.99 (~node8(s112)),
% 5.29/3.99 inference(unit_resolution,[status(thm)],[9283, 383, 9280])).
% 5.29/3.99 tff(9285,plain,
% 5.29/3.99 (succ(s112, s113) <=> succ(s112, s113)),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9286,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 5.29/3.99 tff(9287,plain,
% 5.29/3.99 (succ(s112, s113)),
% 5.29/3.99 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 5.29/3.99 tff(9288,plain,
% 5.29/3.99 (((~![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))),
% 5.29/3.99 inference(rewrite,[status(thm)],[])).
% 5.29/3.99 tff(9289,plain,
% 5.29/3.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9290,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 5.29/4.00 tff(9291,plain,
% 5.29/4.00 (trans(s112, s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9290, 9287, 57])).
% 5.29/4.00 tff(9292,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9293,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9294,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 5.29/4.00 tff(9295,plain,
% 5.29/4.00 (node14(s112, s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9294, 130, 9291])).
% 5.29/4.00 tff(9296,plain,
% 5.29/4.00 (((~![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(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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9297,plain,
% 5.29/4.00 (((~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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9298,plain,
% 5.29/4.00 (((~![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(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))))),
% 5.29/4.00 inference(monotonicity,[status(thm)],[9297])).
% 5.29/4.00 tff(9299,plain,
% 5.29/4.00 (((~![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(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)))),
% 5.29/4.00 inference(transitivity,[status(thm)],[9298, 9296])).
% 5.29/4.00 tff(9300,plain,
% 5.29/4.00 ((~![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(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9301,plain,
% 5.29/4.00 ((~![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(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9300, 9299])).
% 5.29/4.00 tff(9302,plain,
% 5.29/4.00 (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~m_main_v_state2(s112, c_c2))),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9301, 826, 9295])).
% 5.29/4.00 tff(9303,plain,
% 5.29/4.00 (m_main_v_state2(s113, c_n2)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9302, 9284, 9239, 9276, 9272, 9264, 9247])).
% 5.29/4.00 tff(9304,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9305,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9306,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 5.29/4.00 tff(9307,plain,
% 5.29/4.00 (~m_main_v_state2(s113, c_c2)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9306, 716, 9303])).
% 5.29/4.00 tff(9308,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9309,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9310,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 5.29/4.00 tff(9311,plain,
% 5.29/4.00 (~node3(s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9310, 184, 9307])).
% 5.29/4.00 tff(9312,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9313,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9314,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 5.29/4.00 tff(9315,plain,
% 5.29/4.00 (~node1(s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9314, 249, 9260])).
% 5.29/4.00 tff(9316,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9317,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9318,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 5.29/4.00 tff(9319,plain,
% 5.29/4.00 (node18(s111, s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9318, 71, 9230])).
% 5.29/4.00 tff(9320,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9321,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9322,plain,
% 5.29/4.00 ((~![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)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 5.29/4.00 tff(9323,plain,
% 5.29/4.00 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_turn(s112, c_2)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9322, 625, 9319])).
% 5.29/4.00 tff(9324,plain,
% 5.29/4.00 (m_main_v_turn(s112, c_2)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9323, 9183, 9219])).
% 5.29/4.00 tff(9325,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9326,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9327,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 5.29/4.00 tff(9328,plain,
% 5.29/4.00 (~m_main_v_turn(s112, c_1)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9327, 322, 9324])).
% 5.29/4.00 tff(9329,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9330,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9331,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 5.29/4.00 tff(9332,plain,
% 5.29/4.00 (~node5(s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9331, 641, 9328])).
% 5.29/4.00 tff(9333,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9334,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9335,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 5.29/4.00 tff(9336,plain,
% 5.29/4.00 (~node2(s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9335, 652, 9260])).
% 5.29/4.00 tff(9337,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9338,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9339,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 5.29/4.00 tff(9340,plain,
% 5.29/4.00 (~node3(s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9339, 663, 9260])).
% 5.29/4.00 tff(9341,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9342,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9343,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 5.29/4.00 tff(9344,plain,
% 5.29/4.00 (~node4(s112)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9343, 162, 9280])).
% 5.29/4.00 tff(9345,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9346,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9347,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 5.29/4.00 tff(9348,plain,
% 5.29/4.00 (node7(s112, s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9347, 217, 9291])).
% 5.29/4.00 tff(9349,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9350,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9351,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 5.29/4.00 tff(9352,plain,
% 5.29/4.00 (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9351, 745, 9348])).
% 5.29/4.00 tff(9353,plain,
% 5.29/4.00 (node6(s112, s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9352, 9344, 9268, 9340, 9336, 9332, 9315])).
% 5.29/4.00 tff(9354,plain,
% 5.29/4.00 (((~![V: $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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9355,plain,
% 5.29/4.00 (((~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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9356,plain,
% 5.29/4.00 (((~![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))))),
% 5.29/4.00 inference(monotonicity,[status(thm)],[9355])).
% 5.29/4.00 tff(9357,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(transitivity,[status(thm)],[9356, 9354])).
% 5.29/4.00 tff(9358,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9359,plain,
% 5.29/4.00 ((~![V: $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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 5.29/4.00 tff(9360,plain,
% 5.29/4.00 (~m_main_v_state1(s113, c_n1)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9359, 936, 9260, 9353])).
% 5.29/4.00 tff(9361,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9362,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9363,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 5.29/4.00 tff(9364,plain,
% 5.29/4.00 (~node2(s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9363, 652, 9360])).
% 5.29/4.00 tff(9365,plain,
% 5.29/4.00 (((~![V: $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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9366,plain,
% 5.29/4.00 (((~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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9367,plain,
% 5.29/4.00 (((~![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))))),
% 5.29/4.00 inference(monotonicity,[status(thm)],[9366])).
% 5.29/4.00 tff(9368,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(transitivity,[status(thm)],[9367, 9365])).
% 5.29/4.00 tff(9369,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9370,plain,
% 5.29/4.00 ((~![V: $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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 5.29/4.00 tff(9371,plain,
% 5.29/4.00 (m_main_v_state1(s113, c_t1)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9370, 760, 9256, 9353])).
% 5.29/4.00 tff(9372,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9373,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9374,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 5.29/4.00 tff(9375,plain,
% 5.29/4.00 (~m_main_v_state2(s113, c_t2)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9374, 10, 9303])).
% 5.29/4.00 tff(9376,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9377,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9378,plain,
% 5.29/4.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 5.29/4.00 tff(9379,plain,
% 5.29/4.00 (~node1(s113)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9378, 206, 9375])).
% 5.29/4.00 tff(9380,plain,
% 5.29/4.00 (succ(s113, s114) <=> succ(s113, s114)),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9381,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 5.29/4.00 tff(9382,plain,
% 5.29/4.00 (succ(s113, s114)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 5.29/4.00 tff(9383,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9384,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9385,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 5.29/4.00 tff(9386,plain,
% 5.29/4.00 (trans(s113, s114)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9385, 9382, 57])).
% 5.29/4.00 tff(9387,plain,
% 5.29/4.00 (((~![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))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9388,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9389,plain,
% 5.29/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114)),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 5.29/4.00 tff(9390,plain,
% 5.29/4.00 (node7(s113, s114)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9389, 217, 9386])).
% 5.29/4.00 tff(9391,plain,
% 5.29/4.00 (((~![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(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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9392,plain,
% 5.29/4.00 (((~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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9393,plain,
% 5.29/4.00 (((~![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(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))))),
% 5.29/4.00 inference(monotonicity,[status(thm)],[9392])).
% 5.29/4.00 tff(9394,plain,
% 5.29/4.00 (((~![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(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)))),
% 5.29/4.00 inference(transitivity,[status(thm)],[9393, 9391])).
% 5.29/4.00 tff(9395,plain,
% 5.29/4.00 ((~![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(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))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9396,plain,
% 5.29/4.00 ((~![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(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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 5.29/4.00 tff(9397,plain,
% 5.29/4.00 ((~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)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9396, 965, 9390])).
% 5.29/4.00 tff(9398,plain,
% 5.29/4.00 (m_main_v_state1(s114, c_c1)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9397, 9379, 9303, 9371, 9364, 9311])).
% 5.29/4.00 tff(9399,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.00 inference(rewrite,[status(thm)],[])).
% 5.29/4.00 tff(9400,plain,
% 5.29/4.00 ((~![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)))),
% 5.29/4.00 inference(quant_inst,[status(thm)],[])).
% 5.29/4.00 tff(9401,plain,
% 5.29/4.00 ((~![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))),
% 5.29/4.00 inference(modus_ponens,[status(thm)],[9400, 9399])).
% 5.29/4.00 tff(9402,plain,
% 5.29/4.00 (~m_main_v_state1(s114, c_t1)),
% 5.29/4.00 inference(unit_resolution,[status(thm)],[9401, 289, 9398])).
% 5.29/4.00 tff(9403,plain,
% 5.29/4.00 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9404,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9405,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 5.29/4.01 tff(9406,plain,
% 5.29/4.01 (~node5(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9405, 300, 9402])).
% 5.29/4.01 tff(9407,plain,
% 5.29/4.01 (((~![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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9408,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9409,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 5.29/4.01 tff(9410,plain,
% 5.29/4.01 (node14(s113, s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9409, 130, 9386])).
% 5.29/4.01 tff(9411,plain,
% 5.29/4.01 (((~![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(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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9412,plain,
% 5.29/4.01 ((~![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(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9413,plain,
% 5.29/4.01 ((~![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(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 5.29/4.01 tff(9414,plain,
% 5.29/4.01 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state2(s114, c_t2)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9413, 893, 9410])).
% 5.29/4.01 tff(9415,plain,
% 5.29/4.01 (m_main_v_state2(s114, c_t2)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9414, 9371, 9303])).
% 5.29/4.01 tff(9416,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9417,plain,
% 5.29/4.01 ((~![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)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9418,plain,
% 5.29/4.01 ((~![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))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 5.29/4.01 tff(9419,plain,
% 5.29/4.01 (~m_main_v_state2(s114, c_n2)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9418, 10, 9415])).
% 5.29/4.01 tff(9420,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9421,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9422,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 5.29/4.01 tff(9423,plain,
% 5.29/4.01 (~node4(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9422, 162, 9419])).
% 5.29/4.01 tff(9424,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9425,plain,
% 5.29/4.01 ((~![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)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9426,plain,
% 5.29/4.01 ((~![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))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 5.29/4.01 tff(9427,plain,
% 5.29/4.01 (~m_main_v_state2(s114, c_c2)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9426, 173, 9415])).
% 5.29/4.01 tff(9428,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9429,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9430,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 5.29/4.01 tff(9431,plain,
% 5.29/4.01 (~node3(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9430, 184, 9427])).
% 5.29/4.01 tff(9432,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9433,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9434,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 5.29/4.01 tff(9435,plain,
% 5.29/4.01 (~node2(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9434, 195, 9419])).
% 5.29/4.01 tff(9436,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9437,plain,
% 5.29/4.01 ((~![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)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9438,plain,
% 5.29/4.01 ((~![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))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 5.29/4.01 tff(9439,plain,
% 5.29/4.01 (~m_main_v_state1(s114, c_n1)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9438, 449, 9398])).
% 5.29/4.01 tff(9440,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9441,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9442,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 5.29/4.01 tff(9443,plain,
% 5.29/4.01 (~node1(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9442, 249, 9439])).
% 5.29/4.01 tff(9444,plain,
% 5.29/4.01 (succ(s114, s115) <=> succ(s114, s115)),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9445,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 5.29/4.01 tff(9446,plain,
% 5.29/4.01 (succ(s114, s115)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 5.29/4.01 tff(9447,plain,
% 5.29/4.01 (((~![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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9448,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9449,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 5.29/4.01 tff(9450,plain,
% 5.29/4.01 (trans(s114, s115)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9449, 9446, 57])).
% 5.29/4.01 tff(9451,plain,
% 5.29/4.01 (((~![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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9452,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9453,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 5.29/4.01 tff(9454,plain,
% 5.29/4.01 (node7(s114, s115)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9453, 217, 9450])).
% 5.29/4.01 tff(9455,plain,
% 5.29/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9456,plain,
% 5.29/4.01 (((~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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9457,plain,
% 5.29/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.29/4.01 inference(monotonicity,[status(thm)],[9456])).
% 5.29/4.01 tff(9458,plain,
% 5.29/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.29/4.01 inference(transitivity,[status(thm)],[9457, 9455])).
% 5.29/4.01 tff(9459,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9460,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 5.29/4.01 tff(9461,plain,
% 5.29/4.01 (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9460, 478, 9454])).
% 5.29/4.01 tff(9462,plain,
% 5.29/4.01 (m_main_v_state1(s115, c_n1)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9461, 9443, 9398, 9435, 9431, 9423, 9406])).
% 5.29/4.01 tff(9463,plain,
% 5.29/4.01 (((~![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)))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9464,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9465,plain,
% 5.29/4.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113))),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 5.29/4.01 tff(9466,plain,
% 5.29/4.01 (~node15(s113)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9465, 21, 9375])).
% 5.29/4.01 tff(9467,plain,
% 5.29/4.01 (((~![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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9468,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))),
% 5.29/4.01 inference(quant_inst,[status(thm)],[])).
% 5.29/4.01 tff(9469,plain,
% 5.29/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114)),
% 5.29/4.01 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 5.29/4.01 tff(9470,plain,
% 5.29/4.01 (node18(s113, s114)),
% 5.29/4.01 inference(unit_resolution,[status(thm)],[9469, 71, 9386])).
% 5.29/4.01 tff(9471,plain,
% 5.29/4.01 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9472,plain,
% 5.29/4.01 (((~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))),
% 5.29/4.01 inference(rewrite,[status(thm)],[])).
% 5.29/4.01 tff(9473,plain,
% 5.29/4.01 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.38/4.01 inference(monotonicity,[status(thm)],[9472])).
% 5.38/4.01 tff(9474,plain,
% 5.38/4.01 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.01 inference(transitivity,[status(thm)],[9473, 9471])).
% 5.38/4.01 tff(9475,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9476,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 5.38/4.01 tff(9477,plain,
% 5.38/4.01 (node15(s113) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9476, 863, 9470])).
% 5.38/4.01 tff(9478,plain,
% 5.38/4.01 (m_main_v_turn(s114, c_1)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9477, 9466, 9303, 9371])).
% 5.38/4.01 tff(9479,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9480,plain,
% 5.38/4.01 ((~![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)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9481,plain,
% 5.38/4.01 ((~![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))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 5.38/4.01 tff(9482,plain,
% 5.38/4.01 (~m_main_v_turn(s114, c_2)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9481, 322, 9478])).
% 5.38/4.01 tff(9483,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9484,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9485,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 5.38/4.01 tff(9486,plain,
% 5.38/4.01 (~node12(s114)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9485, 350, 9482])).
% 5.38/4.01 tff(9487,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9488,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9489,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 5.38/4.01 tff(9490,plain,
% 5.38/4.01 (~node8(s114)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9489, 383, 9419])).
% 5.38/4.01 tff(9491,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9492,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9493,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 5.38/4.01 tff(9494,plain,
% 5.38/4.01 (~node9(s114)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9493, 311, 9419])).
% 5.38/4.01 tff(9495,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9496,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9497,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 5.38/4.01 tff(9498,plain,
% 5.38/4.01 (~node10(s114)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9497, 372, 9419])).
% 5.38/4.01 tff(9499,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9500,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9501,plain,
% 5.38/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 5.38/4.01 tff(9502,plain,
% 5.38/4.01 (~node11(s114)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9501, 361, 9439])).
% 5.38/4.01 tff(9503,plain,
% 5.38/4.01 (((~![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))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9504,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9505,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115)),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 5.38/4.01 tff(9506,plain,
% 5.38/4.01 (node14(s114, s115)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9505, 130, 9450])).
% 5.38/4.01 tff(9507,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9508,plain,
% 5.38/4.01 ((~![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)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9509,plain,
% 5.38/4.01 ((~![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))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 5.38/4.01 tff(9510,plain,
% 5.38/4.01 (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9509, 401, 9506])).
% 5.38/4.01 tff(9511,plain,
% 5.38/4.01 (node13(s114, s115)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9510, 9502, 9427, 9498, 9494, 9490, 9486])).
% 5.38/4.01 tff(9512,plain,
% 5.38/4.01 (((~![V: $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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9513,plain,
% 5.38/4.01 (((~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)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9514,plain,
% 5.38/4.01 (((~![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))))),
% 5.38/4.01 inference(monotonicity,[status(thm)],[9513])).
% 5.38/4.01 tff(9515,plain,
% 5.38/4.01 (((~![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)))),
% 5.38/4.01 inference(transitivity,[status(thm)],[9514, 9512])).
% 5.38/4.01 tff(9516,plain,
% 5.38/4.01 ((~![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))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9517,plain,
% 5.38/4.01 ((~![V: $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))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 5.38/4.01 tff(9518,plain,
% 5.38/4.01 (m_main_v_state2(s115, c_t2)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9517, 563, 9415, 9511])).
% 5.38/4.01 tff(9519,plain,
% 5.38/4.01 (succ(s115, s116) <=> succ(s115, s116)),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9520,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 5.38/4.01 tff(9521,plain,
% 5.38/4.01 (succ(s115, s116)),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 5.38/4.01 tff(9522,plain,
% 5.38/4.01 (((~![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))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(9523,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(9524,plain,
% 5.38/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 5.38/4.01 tff(9525,plain,
% 5.38/4.01 (trans(s115, s116)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[9524, 9521, 57])).
% 5.38/4.01 tff(9526,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9527,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9528,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 5.38/4.02 tff(9529,plain,
% 5.38/4.02 (node7(s115, s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9528, 217, 9525])).
% 5.38/4.02 tff(9530,plain,
% 5.38/4.02 (((~![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(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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9531,plain,
% 5.38/4.02 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9532,plain,
% 5.38/4.02 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 5.38/4.02 tff(9533,plain,
% 5.38/4.02 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_state1(s116, c_t1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9532, 598, 9529])).
% 5.38/4.02 tff(9534,plain,
% 5.38/4.02 (m_main_v_state1(s116, c_t1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9533, 9518, 9462])).
% 5.38/4.02 tff(9535,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9536,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9537,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 5.38/4.02 tff(9538,plain,
% 5.38/4.02 (~m_main_v_state1(s116, c_n1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9537, 35, 9534])).
% 5.38/4.02 tff(9539,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9540,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9541,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 5.38/4.02 tff(9542,plain,
% 5.38/4.02 (~node1(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9541, 249, 9538])).
% 5.38/4.02 tff(9543,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9544,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9545,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 5.38/4.02 tff(9546,plain,
% 5.38/4.02 (node18(s115, s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9545, 71, 9525])).
% 5.38/4.02 tff(9547,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9548,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9549,plain,
% 5.38/4.02 ((~![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)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 5.38/4.02 tff(9550,plain,
% 5.38/4.02 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_turn(s116, c_2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9549, 625, 9546])).
% 5.38/4.02 tff(9551,plain,
% 5.38/4.02 (m_main_v_turn(s116, c_2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9550, 9518, 9462])).
% 5.38/4.02 tff(9552,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9553,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9554,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 5.38/4.02 tff(9555,plain,
% 5.38/4.02 (~m_main_v_turn(s116, c_1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9554, 322, 9551])).
% 5.38/4.02 tff(9556,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9557,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9558,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9557, 9556])).
% 5.38/4.02 tff(9559,plain,
% 5.38/4.02 (~node5(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9558, 641, 9555])).
% 5.38/4.02 tff(9560,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9561,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9562,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 5.38/4.02 tff(9563,plain,
% 5.38/4.02 (~node2(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9562, 652, 9538])).
% 5.38/4.02 tff(9564,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9565,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9566,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9565, 9564])).
% 5.38/4.02 tff(9567,plain,
% 5.38/4.02 (~node3(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9566, 663, 9538])).
% 5.38/4.02 tff(9568,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9569,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9570,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 5.38/4.02 tff(9571,plain,
% 5.38/4.02 (~m_main_v_state1(s116, c_c1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9570, 289, 9534])).
% 5.38/4.02 tff(9572,plain,
% 5.38/4.02 (((~![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(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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9573,plain,
% 5.38/4.02 (((~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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9574,plain,
% 5.38/4.02 (((~![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))))),
% 5.38/4.02 inference(monotonicity,[status(thm)],[9573])).
% 5.38/4.02 tff(9575,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(transitivity,[status(thm)],[9574, 9572])).
% 5.38/4.02 tff(9576,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9577,plain,
% 5.38/4.02 ((~![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(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 5.38/4.02 tff(9578,plain,
% 5.38/4.02 (~m_main_v_state2(s115, c_n2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9577, 416, 9419, 9511])).
% 5.38/4.02 tff(9579,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9580,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9581,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 5.38/4.02 tff(9582,plain,
% 5.38/4.02 (~node9(s115)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9581, 311, 9578])).
% 5.38/4.02 tff(9583,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9584,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9585,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 5.38/4.02 tff(9586,plain,
% 5.38/4.02 (~node10(s115)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9585, 372, 9578])).
% 5.38/4.02 tff(9587,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9588,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9589,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 5.38/4.02 tff(9590,plain,
% 5.38/4.02 (~node8(s115)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9589, 383, 9578])).
% 5.38/4.02 tff(9591,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9592,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9593,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 5.38/4.02 tff(9594,plain,
% 5.38/4.02 (node14(s115, s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9593, 130, 9525])).
% 5.38/4.02 tff(9595,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9596,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9597,plain,
% 5.38/4.02 ((~![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)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 5.38/4.02 tff(9598,plain,
% 5.38/4.02 ((~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)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9597, 704, 9594])).
% 5.38/4.02 tff(9599,plain,
% 5.38/4.02 (m_main_v_state2(s116, c_c2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9598, 9590, 9462, 9518, 9586, 9582])).
% 5.38/4.02 tff(9600,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9601,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9602,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 5.38/4.02 tff(9603,plain,
% 5.38/4.02 (~m_main_v_state2(s116, c_n2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9602, 716, 9599])).
% 5.38/4.02 tff(9604,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9605,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9606,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 5.38/4.02 tff(9607,plain,
% 5.38/4.02 (~node4(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9606, 162, 9603])).
% 5.38/4.02 tff(9608,plain,
% 5.38/4.02 (succ(s116, s117) <=> succ(s116, s117)),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9609,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 5.38/4.02 tff(9610,plain,
% 5.38/4.02 (succ(s116, s117)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 5.38/4.02 tff(9611,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9612,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9613,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 5.38/4.02 tff(9614,plain,
% 5.38/4.02 (trans(s116, s117)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9613, 9610, 57])).
% 5.38/4.02 tff(9615,plain,
% 5.38/4.02 (((~![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))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9616,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9617,plain,
% 5.38/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 5.38/4.02 tff(9618,plain,
% 5.38/4.02 (node7(s116, s117)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9617, 217, 9614])).
% 5.38/4.02 tff(9619,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9620,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9621,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9620, 9619])).
% 5.38/4.02 tff(9622,plain,
% 5.38/4.02 (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9621, 745, 9618])).
% 5.38/4.02 tff(9623,plain,
% 5.38/4.02 (node6(s116, s117)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9622, 9607, 9571, 9567, 9563, 9559, 9542])).
% 5.38/4.02 tff(9624,plain,
% 5.38/4.02 (((~![V: $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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9625,plain,
% 5.38/4.02 (((~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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9626,plain,
% 5.38/4.02 (((~![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))))),
% 5.38/4.02 inference(monotonicity,[status(thm)],[9625])).
% 5.38/4.02 tff(9627,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(transitivity,[status(thm)],[9626, 9624])).
% 5.38/4.02 tff(9628,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9629,plain,
% 5.38/4.02 ((~![V: $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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9628, 9627])).
% 5.38/4.02 tff(9630,plain,
% 5.38/4.02 (m_main_v_state1(s117, c_t1)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9629, 760, 9534, 9623])).
% 5.38/4.02 tff(9631,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9632,plain,
% 5.38/4.02 ((~![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)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9633,plain,
% 5.38/4.02 ((~![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))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9632, 9631])).
% 5.38/4.02 tff(9634,plain,
% 5.38/4.02 (~m_main_v_state2(s116, c_t2)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9633, 173, 9599])).
% 5.38/4.02 tff(9635,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9636,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9637,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 5.38/4.02 tff(9638,plain,
% 5.38/4.02 (~node12(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9637, 778, 9634])).
% 5.38/4.02 tff(9639,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9640,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9641,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 5.38/4.02 tff(9642,plain,
% 5.38/4.02 (~node11(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9641, 361, 9538])).
% 5.38/4.02 tff(9643,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9644,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9645,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 5.38/4.02 tff(9646,plain,
% 5.38/4.02 (~node10(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9645, 793, 9571])).
% 5.38/4.02 tff(9647,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9648,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9649,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 5.38/4.02 tff(9650,plain,
% 5.38/4.02 (~node9(s116)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[9649, 804, 9538])).
% 5.38/4.02 tff(9651,plain,
% 5.38/4.02 (((~![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)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(9652,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(9653,plain,
% 5.38/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 5.38/4.03 tff(9654,plain,
% 5.38/4.03 (~node8(s116)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9653, 383, 9603])).
% 5.38/4.03 tff(9655,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9656,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9657,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 5.38/4.03 tff(9658,plain,
% 5.38/4.03 (node14(s116, s117)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9657, 130, 9614])).
% 5.38/4.03 tff(9659,plain,
% 5.38/4.03 (((~![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(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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9660,plain,
% 5.38/4.03 (((~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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9661,plain,
% 5.38/4.03 (((~![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(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))))),
% 5.38/4.03 inference(monotonicity,[status(thm)],[9660])).
% 5.38/4.03 tff(9662,plain,
% 5.38/4.03 (((~![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(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)))),
% 5.38/4.03 inference(transitivity,[status(thm)],[9661, 9659])).
% 5.38/4.03 tff(9663,plain,
% 5.38/4.03 ((~![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(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9664,plain,
% 5.38/4.03 ((~![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(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9663, 9662])).
% 5.38/4.03 tff(9665,plain,
% 5.38/4.03 (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~m_main_v_state2(s116, c_c2))),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9664, 826, 9658])).
% 5.38/4.03 tff(9666,plain,
% 5.38/4.03 (m_main_v_state2(s117, c_n2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9665, 9654, 9599, 9650, 9646, 9642, 9638])).
% 5.38/4.03 tff(9667,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9668,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9669,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 5.38/4.03 tff(9670,plain,
% 5.38/4.03 (~m_main_v_state2(s117, c_t2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9669, 10, 9666])).
% 5.38/4.03 tff(9671,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9672,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9673,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 5.38/4.03 tff(9674,plain,
% 5.38/4.03 (~node15(s117)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9673, 21, 9670])).
% 5.38/4.03 tff(9675,plain,
% 5.38/4.03 (succ(s117, s118) <=> succ(s117, s118)),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9676,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 5.38/4.03 tff(9677,plain,
% 5.38/4.03 (succ(s117, s118)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 5.38/4.03 tff(9678,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9679,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9680,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9679, 9678])).
% 5.38/4.03 tff(9681,plain,
% 5.38/4.03 (trans(s117, s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9680, 9677, 57])).
% 5.38/4.03 tff(9682,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9683,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9684,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 5.38/4.03 tff(9685,plain,
% 5.38/4.03 (node18(s117, s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9684, 71, 9681])).
% 5.38/4.03 tff(9686,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9687,plain,
% 5.38/4.03 (((~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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9688,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.38/4.03 inference(monotonicity,[status(thm)],[9687])).
% 5.38/4.03 tff(9689,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.03 inference(transitivity,[status(thm)],[9688, 9686])).
% 5.38/4.03 tff(9690,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9691,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 5.38/4.03 tff(9692,plain,
% 5.38/4.03 (node15(s117) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9691, 863, 9685])).
% 5.38/4.03 tff(9693,plain,
% 5.38/4.03 (m_main_v_turn(s118, c_1)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9692, 9674, 9666, 9630])).
% 5.38/4.03 tff(9694,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9695,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9696,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 5.38/4.03 tff(9697,plain,
% 5.38/4.03 (~m_main_v_turn(s118, c_2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9696, 322, 9693])).
% 5.38/4.03 tff(9698,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9699,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9700,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 5.38/4.03 tff(9701,plain,
% 5.38/4.03 (~node12(s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9700, 350, 9697])).
% 5.38/4.03 tff(9702,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9703,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9704,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 5.38/4.03 tff(9705,plain,
% 5.38/4.03 (node14(s117, s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9704, 130, 9681])).
% 5.38/4.03 tff(9706,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9707,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9708,plain,
% 5.38/4.03 ((~![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)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 5.38/4.03 tff(9709,plain,
% 5.38/4.03 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state2(s118, c_t2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9708, 893, 9705])).
% 5.38/4.03 tff(9710,plain,
% 5.38/4.03 (m_main_v_state2(s118, c_t2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9709, 9630, 9666])).
% 5.38/4.03 tff(9711,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9712,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9713,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 5.38/4.03 tff(9714,plain,
% 5.38/4.03 (~m_main_v_state2(s118, c_n2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9713, 10, 9710])).
% 5.38/4.03 tff(9715,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9716,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9717,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 5.38/4.03 tff(9718,plain,
% 5.38/4.03 (~node8(s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9717, 383, 9714])).
% 5.38/4.03 tff(9719,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9720,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9721,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 5.38/4.03 tff(9722,plain,
% 5.38/4.03 (~node9(s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9721, 311, 9714])).
% 5.38/4.03 tff(9723,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9724,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9725,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 5.38/4.03 tff(9726,plain,
% 5.38/4.03 (~node10(s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9725, 372, 9714])).
% 5.38/4.03 tff(9727,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9728,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9729,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9728, 9727])).
% 5.38/4.03 tff(9730,plain,
% 5.38/4.03 (~m_main_v_state2(s118, c_c2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9729, 173, 9710])).
% 5.38/4.03 tff(9731,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9732,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9733,plain,
% 5.38/4.03 ((~![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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 5.38/4.03 tff(9734,plain,
% 5.38/4.03 (~m_main_v_state2(s117, c_c2)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9733, 716, 9666])).
% 5.38/4.03 tff(9735,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9736,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9737,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9736, 9735])).
% 5.38/4.03 tff(9738,plain,
% 5.38/4.03 (~node3(s117)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9737, 184, 9734])).
% 5.38/4.03 tff(9739,plain,
% 5.38/4.03 (((~![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(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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9740,plain,
% 5.38/4.03 (((~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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9741,plain,
% 5.38/4.03 (((~![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))))),
% 5.38/4.03 inference(monotonicity,[status(thm)],[9740])).
% 5.38/4.03 tff(9742,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(transitivity,[status(thm)],[9741, 9739])).
% 5.38/4.03 tff(9743,plain,
% 5.38/4.03 ((~![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)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9744,plain,
% 5.38/4.03 ((~![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(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 5.38/4.03 tff(9745,plain,
% 5.38/4.03 (~m_main_v_state1(s117, c_n1)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9744, 936, 9538, 9623])).
% 5.38/4.03 tff(9746,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9747,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9748,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 5.38/4.03 tff(9749,plain,
% 5.38/4.03 (~node2(s117)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9748, 652, 9745])).
% 5.38/4.03 tff(9750,plain,
% 5.38/4.03 (((~![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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9751,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9752,plain,
% 5.38/4.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 5.38/4.03 tff(9753,plain,
% 5.38/4.03 (~node1(s117)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9752, 206, 9670])).
% 5.38/4.03 tff(9754,plain,
% 5.38/4.03 (((~![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))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9755,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9756,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118)),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 5.38/4.03 tff(9757,plain,
% 5.38/4.03 (node7(s117, s118)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9756, 217, 9681])).
% 5.38/4.03 tff(9758,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9759,plain,
% 5.38/4.03 (((~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)))),
% 5.38/4.03 inference(rewrite,[status(thm)],[])).
% 5.38/4.03 tff(9760,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.38/4.03 inference(monotonicity,[status(thm)],[9759])).
% 5.38/4.03 tff(9761,plain,
% 5.38/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.38/4.03 inference(transitivity,[status(thm)],[9760, 9758])).
% 5.38/4.03 tff(9762,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.38/4.03 inference(quant_inst,[status(thm)],[])).
% 5.38/4.03 tff(9763,plain,
% 5.38/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.38/4.03 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 5.38/4.03 tff(9764,plain,
% 5.38/4.03 ((~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)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9763, 965, 9757])).
% 5.38/4.03 tff(9765,plain,
% 5.38/4.03 (m_main_v_state1(s118, c_c1)),
% 5.38/4.03 inference(unit_resolution,[status(thm)],[9764, 9753, 9666, 9630, 9749, 9738])).
% 5.38/4.04 tff(9766,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9767,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9768,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 5.38/4.04 tff(9769,plain,
% 5.38/4.04 (~m_main_v_state1(s118, c_n1)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9768, 449, 9765])).
% 5.38/4.04 tff(9770,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9771,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9772,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 5.38/4.04 tff(9773,plain,
% 5.38/4.04 (~node11(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9772, 361, 9769])).
% 5.38/4.04 tff(9774,plain,
% 5.38/4.04 (succ(s118, s119) <=> succ(s118, s119)),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9775,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 5.38/4.04 tff(9776,plain,
% 5.38/4.04 (succ(s118, s119)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9775, 9774])).
% 5.38/4.04 tff(9777,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9778,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9779,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 5.38/4.04 tff(9780,plain,
% 5.38/4.04 (trans(s118, s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9779, 9776, 57])).
% 5.38/4.04 tff(9781,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9782,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9783,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 5.38/4.04 tff(9784,plain,
% 5.38/4.04 (node14(s118, s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9783, 130, 9780])).
% 5.38/4.04 tff(9785,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9786,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9787,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9786, 9785])).
% 5.38/4.04 tff(9788,plain,
% 5.38/4.04 (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9787, 401, 9784])).
% 5.38/4.04 tff(9789,plain,
% 5.38/4.04 (node13(s118, s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9788, 9773, 9730, 9726, 9722, 9718, 9701])).
% 5.38/4.04 tff(9790,plain,
% 5.38/4.04 (((~![V: $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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9791,plain,
% 5.38/4.04 (((~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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9792,plain,
% 5.38/4.04 (((~![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))))),
% 5.38/4.04 inference(monotonicity,[status(thm)],[9791])).
% 5.38/4.04 tff(9793,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(transitivity,[status(thm)],[9792, 9790])).
% 5.38/4.04 tff(9794,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9795,plain,
% 5.38/4.04 ((~![V: $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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 5.38/4.04 tff(9796,plain,
% 5.38/4.04 (~m_main_v_state2(s119, c_n2)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9795, 416, 9714, 9789])).
% 5.38/4.04 tff(9797,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9798,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9799,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 5.38/4.04 tff(9800,plain,
% 5.38/4.04 (~node9(s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9799, 311, 9796])).
% 5.38/4.04 tff(9801,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9802,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9803,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 5.38/4.04 tff(9804,plain,
% 5.38/4.04 (~node10(s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9803, 372, 9796])).
% 5.38/4.04 tff(9805,plain,
% 5.38/4.04 (((~![V: $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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9806,plain,
% 5.38/4.04 (((~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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9807,plain,
% 5.38/4.04 (((~![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))))),
% 5.38/4.04 inference(monotonicity,[status(thm)],[9806])).
% 5.38/4.04 tff(9808,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(transitivity,[status(thm)],[9807, 9805])).
% 5.38/4.04 tff(9809,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9810,plain,
% 5.38/4.04 ((~![V: $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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 5.38/4.04 tff(9811,plain,
% 5.38/4.04 (m_main_v_state2(s119, c_t2)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9810, 563, 9710, 9789])).
% 5.38/4.04 tff(9812,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9813,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9814,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9813, 9812])).
% 5.38/4.04 tff(9815,plain,
% 5.38/4.04 (~m_main_v_state1(s118, c_t1)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9814, 289, 9765])).
% 5.38/4.04 tff(9816,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9817,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9818,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 5.38/4.04 tff(9819,plain,
% 5.38/4.04 (~node5(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9818, 300, 9815])).
% 5.38/4.04 tff(9820,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9821,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9822,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 5.38/4.04 tff(9823,plain,
% 5.38/4.04 (~node4(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9822, 162, 9714])).
% 5.38/4.04 tff(9824,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9825,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9826,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 5.38/4.04 tff(9827,plain,
% 5.38/4.04 (~node3(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9826, 184, 9730])).
% 5.38/4.04 tff(9828,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9829,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9830,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 5.38/4.04 tff(9831,plain,
% 5.38/4.04 (~node2(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9830, 195, 9714])).
% 5.38/4.04 tff(9832,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9833,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9834,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 5.38/4.04 tff(9835,plain,
% 5.38/4.04 (~node1(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9834, 249, 9769])).
% 5.38/4.04 tff(9836,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9837,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9838,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 5.38/4.04 tff(9839,plain,
% 5.38/4.04 (node7(s118, s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9838, 217, 9780])).
% 5.38/4.04 tff(9840,plain,
% 5.38/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9841,plain,
% 5.38/4.04 (((~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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9842,plain,
% 5.38/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.38/4.04 inference(monotonicity,[status(thm)],[9841])).
% 5.38/4.04 tff(9843,plain,
% 5.38/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.38/4.04 inference(transitivity,[status(thm)],[9842, 9840])).
% 5.38/4.04 tff(9844,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9845,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9844, 9843])).
% 5.38/4.04 tff(9846,plain,
% 5.38/4.04 (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9845, 478, 9839])).
% 5.38/4.04 tff(9847,plain,
% 5.38/4.04 (m_main_v_state1(s119, c_n1)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9846, 9835, 9765, 9831, 9827, 9823, 9819])).
% 5.38/4.04 tff(9848,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9849,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9850,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9849, 9848])).
% 5.38/4.04 tff(9851,plain,
% 5.38/4.04 (~node8(s119)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9850, 383, 9796])).
% 5.38/4.04 tff(9852,plain,
% 5.38/4.04 (succ(s119, s120) <=> succ(s119, s120)),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9853,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 5.38/4.04 tff(9854,plain,
% 5.38/4.04 (succ(s119, s120)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 5.38/4.04 tff(9855,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9856,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9857,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9856, 9855])).
% 5.38/4.04 tff(9858,plain,
% 5.38/4.04 (trans(s119, s120)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9857, 9854, 57])).
% 5.38/4.04 tff(9859,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9860,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9861,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9860, 9859])).
% 5.38/4.04 tff(9862,plain,
% 5.38/4.04 (node14(s119, s120)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9861, 130, 9858])).
% 5.38/4.04 tff(9863,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9864,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9865,plain,
% 5.38/4.04 ((~![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)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 5.38/4.04 tff(9866,plain,
% 5.38/4.04 ((~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)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9865, 704, 9862])).
% 5.38/4.04 tff(9867,plain,
% 5.38/4.04 (m_main_v_state2(s120, c_c2)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9866, 9851, 9847, 9811, 9804, 9800])).
% 5.38/4.04 tff(9868,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9869,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9870,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 5.38/4.04 tff(9871,plain,
% 5.38/4.04 (~m_main_v_state2(s120, c_t2)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9870, 173, 9867])).
% 5.38/4.04 tff(9872,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9873,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9874,plain,
% 5.38/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120))),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 5.38/4.04 tff(9875,plain,
% 5.38/4.04 (~node12(s120)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9874, 778, 9871])).
% 5.38/4.04 tff(9876,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9877,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9878,plain,
% 5.38/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 5.38/4.04 tff(9879,plain,
% 5.38/4.04 (node7(s119, s120)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9878, 217, 9858])).
% 5.38/4.04 tff(9880,plain,
% 5.38/4.04 (((~![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))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9881,plain,
% 5.38/4.04 ((~![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))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.04 tff(9882,plain,
% 5.38/4.04 ((~![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)),
% 5.38/4.04 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 5.38/4.04 tff(9883,plain,
% 5.38/4.04 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_state1(s120, c_t1)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9882, 598, 9879])).
% 5.38/4.04 tff(9884,plain,
% 5.38/4.04 (m_main_v_state1(s120, c_t1)),
% 5.38/4.04 inference(unit_resolution,[status(thm)],[9883, 9811, 9847])).
% 5.38/4.04 tff(9885,plain,
% 5.38/4.04 (((~![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)))),
% 5.38/4.04 inference(rewrite,[status(thm)],[])).
% 5.38/4.04 tff(9886,plain,
% 5.38/4.04 ((~![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)))),
% 5.38/4.04 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9887,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 5.38/4.05 tff(9888,plain,
% 5.38/4.05 (~m_main_v_state1(s120, c_n1)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9887, 35, 9884])).
% 5.38/4.05 tff(9889,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9890,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9891,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 5.38/4.05 tff(9892,plain,
% 5.38/4.05 (~node11(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9891, 361, 9888])).
% 5.38/4.05 tff(9893,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9894,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9895,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 5.38/4.05 tff(9896,plain,
% 5.38/4.05 (~m_main_v_state1(s120, c_c1)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9895, 289, 9884])).
% 5.38/4.05 tff(9897,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9898,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9899,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 5.38/4.05 tff(9900,plain,
% 5.38/4.05 (~node10(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9899, 793, 9896])).
% 5.38/4.05 tff(9901,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9902,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9903,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 5.38/4.05 tff(9904,plain,
% 5.38/4.05 (~node9(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9903, 804, 9888])).
% 5.38/4.05 tff(9905,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9906,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9907,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 5.38/4.05 tff(9908,plain,
% 5.38/4.05 (~m_main_v_state2(s120, c_n2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9907, 716, 9867])).
% 5.38/4.05 tff(9909,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9910,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9911,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 5.38/4.05 tff(9912,plain,
% 5.38/4.05 (~node8(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9911, 383, 9908])).
% 5.38/4.05 tff(9913,plain,
% 5.38/4.05 (succ(s120, s121) <=> succ(s120, s121)),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9914,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 5.38/4.05 tff(9915,plain,
% 5.38/4.05 (succ(s120, s121)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 5.38/4.05 tff(9916,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9917,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9918,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9917, 9916])).
% 5.38/4.05 tff(9919,plain,
% 5.38/4.05 (trans(s120, s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9918, 9915, 57])).
% 5.38/4.05 tff(9920,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9921,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9922,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 5.38/4.05 tff(9923,plain,
% 5.38/4.05 (node14(s120, s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9922, 130, 9919])).
% 5.38/4.05 tff(9924,plain,
% 5.38/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9925,plain,
% 5.38/4.05 (((~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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9926,plain,
% 5.38/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.38/4.05 inference(monotonicity,[status(thm)],[9925])).
% 5.38/4.05 tff(9927,plain,
% 5.38/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.38/4.05 inference(transitivity,[status(thm)],[9926, 9924])).
% 5.38/4.05 tff(9928,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9929,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9928, 9927])).
% 5.38/4.05 tff(9930,plain,
% 5.38/4.05 (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~m_main_v_state2(s120, c_c2))),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9929, 826, 9923])).
% 5.38/4.05 tff(9931,plain,
% 5.38/4.05 (m_main_v_state2(s121, c_n2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9930, 9912, 9867, 9904, 9900, 9892, 9875])).
% 5.38/4.05 tff(9932,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9933,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9934,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 5.38/4.05 tff(9935,plain,
% 5.38/4.05 (~m_main_v_state2(s121, c_c2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9934, 716, 9931])).
% 5.38/4.05 tff(9936,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9937,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9938,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 5.38/4.05 tff(9939,plain,
% 5.38/4.05 (~node3(s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9938, 184, 9935])).
% 5.38/4.05 tff(9940,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9941,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9942,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 5.38/4.05 tff(9943,plain,
% 5.38/4.05 (~node1(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9942, 249, 9888])).
% 5.38/4.05 tff(9944,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9945,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9946,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9945, 9944])).
% 5.38/4.05 tff(9947,plain,
% 5.38/4.05 (node18(s119, s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9946, 71, 9858])).
% 5.38/4.05 tff(9948,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9949,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9950,plain,
% 5.38/4.05 ((~![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)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 5.38/4.05 tff(9951,plain,
% 5.38/4.05 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_turn(s120, c_2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9950, 625, 9947])).
% 5.38/4.05 tff(9952,plain,
% 5.38/4.05 (m_main_v_turn(s120, c_2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9951, 9811, 9847])).
% 5.38/4.05 tff(9953,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9954,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9955,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 5.38/4.05 tff(9956,plain,
% 5.38/4.05 (~m_main_v_turn(s120, c_1)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9955, 322, 9952])).
% 5.38/4.05 tff(9957,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9958,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9959,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 5.38/4.05 tff(9960,plain,
% 5.38/4.05 (~node5(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9959, 641, 9956])).
% 5.38/4.05 tff(9961,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9962,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9963,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 5.38/4.05 tff(9964,plain,
% 5.38/4.05 (~node2(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9963, 652, 9888])).
% 5.38/4.05 tff(9965,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9966,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9967,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 5.38/4.05 tff(9968,plain,
% 5.38/4.05 (~node3(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9967, 663, 9888])).
% 5.38/4.05 tff(9969,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9970,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9971,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 5.38/4.05 tff(9972,plain,
% 5.38/4.05 (~node4(s120)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9971, 162, 9908])).
% 5.38/4.05 tff(9973,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9974,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9975,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 5.38/4.05 tff(9976,plain,
% 5.38/4.05 (node7(s120, s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9975, 217, 9919])).
% 5.38/4.05 tff(9977,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9978,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9979,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 5.38/4.05 tff(9980,plain,
% 5.38/4.05 (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9979, 745, 9976])).
% 5.38/4.05 tff(9981,plain,
% 5.38/4.05 (node6(s120, s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9980, 9972, 9896, 9968, 9964, 9960, 9943])).
% 5.38/4.05 tff(9982,plain,
% 5.38/4.05 (((~![V: $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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9983,plain,
% 5.38/4.05 (((~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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9984,plain,
% 5.38/4.05 (((~![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))))),
% 5.38/4.05 inference(monotonicity,[status(thm)],[9983])).
% 5.38/4.05 tff(9985,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(transitivity,[status(thm)],[9984, 9982])).
% 5.38/4.05 tff(9986,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9987,plain,
% 5.38/4.05 ((~![V: $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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9986, 9985])).
% 5.38/4.05 tff(9988,plain,
% 5.38/4.05 (~m_main_v_state1(s121, c_n1)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9987, 936, 9888, 9981])).
% 5.38/4.05 tff(9989,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9990,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9991,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 5.38/4.05 tff(9992,plain,
% 5.38/4.05 (~node2(s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9991, 652, 9988])).
% 5.38/4.05 tff(9993,plain,
% 5.38/4.05 (((~![V: $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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9994,plain,
% 5.38/4.05 (((~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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(9995,plain,
% 5.38/4.05 (((~![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))))),
% 5.38/4.05 inference(monotonicity,[status(thm)],[9994])).
% 5.38/4.05 tff(9996,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(transitivity,[status(thm)],[9995, 9993])).
% 5.38/4.05 tff(9997,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(9998,plain,
% 5.38/4.05 ((~![V: $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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 5.38/4.05 tff(9999,plain,
% 5.38/4.05 (m_main_v_state1(s121, c_t1)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[9998, 760, 9884, 9981])).
% 5.38/4.05 tff(10000,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(10001,plain,
% 5.38/4.05 ((~![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)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(10002,plain,
% 5.38/4.05 ((~![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))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[10001, 10000])).
% 5.38/4.05 tff(10003,plain,
% 5.38/4.05 (~m_main_v_state2(s121, c_t2)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[10002, 10, 9931])).
% 5.38/4.05 tff(10004,plain,
% 5.38/4.05 (((~![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)))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(10005,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 5.38/4.05 inference(quant_inst,[status(thm)],[])).
% 5.38/4.05 tff(10006,plain,
% 5.38/4.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121))),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 5.38/4.05 tff(10007,plain,
% 5.38/4.05 (~node1(s121)),
% 5.38/4.05 inference(unit_resolution,[status(thm)],[10006, 206, 10003])).
% 5.38/4.05 tff(10008,plain,
% 5.38/4.05 (succ(s121, s122) <=> succ(s121, s122)),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(10009,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 5.38/4.05 tff(10010,plain,
% 5.38/4.05 (succ(s121, s122)),
% 5.38/4.05 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 5.38/4.05 tff(10011,plain,
% 5.38/4.05 (((~![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))),
% 5.38/4.05 inference(rewrite,[status(thm)],[])).
% 5.38/4.05 tff(10012,plain,
% 5.38/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10013,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10012, 10011])).
% 5.38/4.06 tff(10014,plain,
% 5.38/4.06 (trans(s121, s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10013, 10010, 57])).
% 5.38/4.06 tff(10015,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10016,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10017,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10016, 10015])).
% 5.38/4.06 tff(10018,plain,
% 5.38/4.06 (node7(s121, s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10017, 217, 10014])).
% 5.38/4.06 tff(10019,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10020,plain,
% 5.38/4.06 (((~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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10021,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.38/4.06 inference(monotonicity,[status(thm)],[10020])).
% 5.38/4.06 tff(10022,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.38/4.06 inference(transitivity,[status(thm)],[10021, 10019])).
% 5.38/4.06 tff(10023,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10024,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 5.38/4.06 tff(10025,plain,
% 5.38/4.06 ((~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)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10024, 965, 10018])).
% 5.38/4.06 tff(10026,plain,
% 5.38/4.06 (m_main_v_state1(s122, c_c1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10025, 10007, 9931, 9999, 9992, 9939])).
% 5.38/4.06 tff(10027,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10028,plain,
% 5.38/4.06 ((~![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)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10029,plain,
% 5.38/4.06 ((~![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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10028, 10027])).
% 5.38/4.06 tff(10030,plain,
% 5.38/4.06 (~m_main_v_state1(s122, c_t1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10029, 289, 10026])).
% 5.38/4.06 tff(10031,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10032,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10033,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 5.38/4.06 tff(10034,plain,
% 5.38/4.06 (~node5(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10033, 300, 10030])).
% 5.38/4.06 tff(10035,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10036,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10037,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 5.38/4.06 tff(10038,plain,
% 5.38/4.06 (node14(s121, s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10037, 130, 10014])).
% 5.38/4.06 tff(10039,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10040,plain,
% 5.38/4.06 ((~![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))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10041,plain,
% 5.38/4.06 ((~![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)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 5.38/4.06 tff(10042,plain,
% 5.38/4.06 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state2(s122, c_t2)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10041, 893, 10038])).
% 5.38/4.06 tff(10043,plain,
% 5.38/4.06 (m_main_v_state2(s122, c_t2)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10042, 9999, 9931])).
% 5.38/4.06 tff(10044,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10045,plain,
% 5.38/4.06 ((~![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)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10046,plain,
% 5.38/4.06 ((~![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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10045, 10044])).
% 5.38/4.06 tff(10047,plain,
% 5.38/4.06 (~m_main_v_state2(s122, c_n2)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10046, 10, 10043])).
% 5.38/4.06 tff(10048,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10049,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10050,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 5.38/4.06 tff(10051,plain,
% 5.38/4.06 (~node4(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10050, 162, 10047])).
% 5.38/4.06 tff(10052,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10053,plain,
% 5.38/4.06 ((~![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)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10054,plain,
% 5.38/4.06 ((~![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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 5.38/4.06 tff(10055,plain,
% 5.38/4.06 (~m_main_v_state2(s122, c_c2)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10054, 173, 10043])).
% 5.38/4.06 tff(10056,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10057,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10058,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 5.38/4.06 tff(10059,plain,
% 5.38/4.06 (~node3(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10058, 184, 10055])).
% 5.38/4.06 tff(10060,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10061,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10062,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 5.38/4.06 tff(10063,plain,
% 5.38/4.06 (~node2(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10062, 195, 10047])).
% 5.38/4.06 tff(10064,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10065,plain,
% 5.38/4.06 ((~![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)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10066,plain,
% 5.38/4.06 ((~![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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 5.38/4.06 tff(10067,plain,
% 5.38/4.06 (~m_main_v_state1(s122, c_n1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10066, 449, 10026])).
% 5.38/4.06 tff(10068,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10069,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10070,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 5.38/4.06 tff(10071,plain,
% 5.38/4.06 (~node1(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10070, 249, 10067])).
% 5.38/4.06 tff(10072,plain,
% 5.38/4.06 (succ(s122, s123) <=> succ(s122, s123)),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10073,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 5.38/4.06 tff(10074,plain,
% 5.38/4.06 (succ(s122, s123)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 5.38/4.06 tff(10075,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10076,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10077,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 5.38/4.06 tff(10078,plain,
% 5.38/4.06 (trans(s122, s123)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10077, 10074, 57])).
% 5.38/4.06 tff(10079,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10080,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10081,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 5.38/4.06 tff(10082,plain,
% 5.38/4.06 (node7(s122, s123)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10081, 217, 10078])).
% 5.38/4.06 tff(10083,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10084,plain,
% 5.38/4.06 (((~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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10085,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.38/4.06 inference(monotonicity,[status(thm)],[10084])).
% 5.38/4.06 tff(10086,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.38/4.06 inference(transitivity,[status(thm)],[10085, 10083])).
% 5.38/4.06 tff(10087,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10088,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10087, 10086])).
% 5.38/4.06 tff(10089,plain,
% 5.38/4.06 (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10088, 478, 10082])).
% 5.38/4.06 tff(10090,plain,
% 5.38/4.06 (m_main_v_state1(s123, c_n1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10089, 10071, 10026, 10063, 10059, 10051, 10034])).
% 5.38/4.06 tff(10091,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10092,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10093,plain,
% 5.38/4.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121))),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 5.38/4.06 tff(10094,plain,
% 5.38/4.06 (~node15(s121)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10093, 21, 10003])).
% 5.38/4.06 tff(10095,plain,
% 5.38/4.06 (((~![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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10096,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10097,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 5.38/4.06 tff(10098,plain,
% 5.38/4.06 (node18(s121, s122)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10097, 71, 10014])).
% 5.38/4.06 tff(10099,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10100,plain,
% 5.38/4.06 (((~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))),
% 5.38/4.06 inference(rewrite,[status(thm)],[])).
% 5.38/4.06 tff(10101,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.38/4.06 inference(monotonicity,[status(thm)],[10100])).
% 5.38/4.06 tff(10102,plain,
% 5.38/4.06 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.06 inference(transitivity,[status(thm)],[10101, 10099])).
% 5.38/4.06 tff(10103,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.38/4.06 inference(quant_inst,[status(thm)],[])).
% 5.38/4.06 tff(10104,plain,
% 5.38/4.06 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.38/4.06 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 5.38/4.06 tff(10105,plain,
% 5.38/4.06 (node15(s121) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10104, 863, 10098])).
% 5.38/4.06 tff(10106,plain,
% 5.38/4.06 (m_main_v_turn(s122, c_1)),
% 5.38/4.06 inference(unit_resolution,[status(thm)],[10105, 10094, 9931, 9999])).
% 5.38/4.06 tff(10107,plain,
% 5.38/4.06 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10108,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10109,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 5.38/4.07 tff(10110,plain,
% 5.38/4.07 (~m_main_v_turn(s122, c_2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10109, 322, 10106])).
% 5.38/4.07 tff(10111,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10112,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10113,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 5.38/4.07 tff(10114,plain,
% 5.38/4.07 (~node12(s122)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10113, 350, 10110])).
% 5.38/4.07 tff(10115,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10116,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10117,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 5.38/4.07 tff(10118,plain,
% 5.38/4.07 (~node8(s122)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10117, 383, 10047])).
% 5.38/4.07 tff(10119,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10120,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10121,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 5.38/4.07 tff(10122,plain,
% 5.38/4.07 (~node9(s122)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10121, 311, 10047])).
% 5.38/4.07 tff(10123,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10124,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10125,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 5.38/4.07 tff(10126,plain,
% 5.38/4.07 (~node10(s122)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10125, 372, 10047])).
% 5.38/4.07 tff(10127,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10128,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10129,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 5.38/4.07 tff(10130,plain,
% 5.38/4.07 (~node11(s122)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10129, 361, 10067])).
% 5.38/4.07 tff(10131,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10132,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10133,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 5.38/4.07 tff(10134,plain,
% 5.38/4.07 (node14(s122, s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10133, 130, 10078])).
% 5.38/4.07 tff(10135,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10136,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10137,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 5.38/4.07 tff(10138,plain,
% 5.38/4.07 (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10137, 401, 10134])).
% 5.38/4.07 tff(10139,plain,
% 5.38/4.07 (node13(s122, s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10138, 10130, 10055, 10126, 10122, 10118, 10114])).
% 5.38/4.07 tff(10140,plain,
% 5.38/4.07 (((~![V: $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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10141,plain,
% 5.38/4.07 (((~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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10142,plain,
% 5.38/4.07 (((~![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))))),
% 5.38/4.07 inference(monotonicity,[status(thm)],[10141])).
% 5.38/4.07 tff(10143,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(transitivity,[status(thm)],[10142, 10140])).
% 5.38/4.07 tff(10144,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10145,plain,
% 5.38/4.07 ((~![V: $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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 5.38/4.07 tff(10146,plain,
% 5.38/4.07 (m_main_v_state2(s123, c_t2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10145, 563, 10043, 10139])).
% 5.38/4.07 tff(10147,plain,
% 5.38/4.07 (succ(s123, s124) <=> succ(s123, s124)),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10148,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 5.38/4.07 tff(10149,plain,
% 5.38/4.07 (succ(s123, s124)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 5.38/4.07 tff(10150,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10151,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10152,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 5.38/4.07 tff(10153,plain,
% 5.38/4.07 (trans(s123, s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10152, 10149, 57])).
% 5.38/4.07 tff(10154,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10155,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10156,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10155, 10154])).
% 5.38/4.07 tff(10157,plain,
% 5.38/4.07 (node7(s123, s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10156, 217, 10153])).
% 5.38/4.07 tff(10158,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10159,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10160,plain,
% 5.38/4.07 ((~![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)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 5.38/4.07 tff(10161,plain,
% 5.38/4.07 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_state1(s124, c_t1)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10160, 598, 10157])).
% 5.38/4.07 tff(10162,plain,
% 5.38/4.07 (m_main_v_state1(s124, c_t1)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10161, 10146, 10090])).
% 5.38/4.07 tff(10163,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10164,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10165,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 5.38/4.07 tff(10166,plain,
% 5.38/4.07 (~m_main_v_state1(s124, c_n1)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10165, 35, 10162])).
% 5.38/4.07 tff(10167,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10168,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10169,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10168, 10167])).
% 5.38/4.07 tff(10170,plain,
% 5.38/4.07 (~node1(s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10169, 249, 10166])).
% 5.38/4.07 tff(10171,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10172,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10173,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 5.38/4.07 tff(10174,plain,
% 5.38/4.07 (node18(s123, s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10173, 71, 10153])).
% 5.38/4.07 tff(10175,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10176,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10177,plain,
% 5.38/4.07 ((~![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)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 5.38/4.07 tff(10178,plain,
% 5.38/4.07 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_turn(s124, c_2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10177, 625, 10174])).
% 5.38/4.07 tff(10179,plain,
% 5.38/4.07 (m_main_v_turn(s124, c_2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10178, 10146, 10090])).
% 5.38/4.07 tff(10180,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10181,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10182,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 5.38/4.07 tff(10183,plain,
% 5.38/4.07 (~m_main_v_turn(s124, c_1)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10182, 322, 10179])).
% 5.38/4.07 tff(10184,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10185,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10186,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10185, 10184])).
% 5.38/4.07 tff(10187,plain,
% 5.38/4.07 (~node5(s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10186, 641, 10183])).
% 5.38/4.07 tff(10188,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10189,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10190,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 5.38/4.07 tff(10191,plain,
% 5.38/4.07 (~node2(s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10190, 652, 10166])).
% 5.38/4.07 tff(10192,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10193,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10194,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 5.38/4.07 tff(10195,plain,
% 5.38/4.07 (~node3(s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10194, 663, 10166])).
% 5.38/4.07 tff(10196,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10197,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10198,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 5.38/4.07 tff(10199,plain,
% 5.38/4.07 (~m_main_v_state1(s124, c_c1)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10198, 289, 10162])).
% 5.38/4.07 tff(10200,plain,
% 5.38/4.07 (((~![V: $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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10201,plain,
% 5.38/4.07 (((~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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10202,plain,
% 5.38/4.07 (((~![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))))),
% 5.38/4.07 inference(monotonicity,[status(thm)],[10201])).
% 5.38/4.07 tff(10203,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(transitivity,[status(thm)],[10202, 10200])).
% 5.38/4.07 tff(10204,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10205,plain,
% 5.38/4.07 ((~![V: $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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 5.38/4.07 tff(10206,plain,
% 5.38/4.07 (~m_main_v_state2(s123, c_n2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10205, 416, 10047, 10139])).
% 5.38/4.07 tff(10207,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10208,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10209,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 5.38/4.07 tff(10210,plain,
% 5.38/4.07 (~node9(s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10209, 311, 10206])).
% 5.38/4.07 tff(10211,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10212,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10213,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 5.38/4.07 tff(10214,plain,
% 5.38/4.07 (~node10(s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10213, 372, 10206])).
% 5.38/4.07 tff(10215,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10216,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10217,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 5.38/4.07 tff(10218,plain,
% 5.38/4.07 (~node8(s123)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10217, 383, 10206])).
% 5.38/4.07 tff(10219,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10220,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10221,plain,
% 5.38/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 5.38/4.07 tff(10222,plain,
% 5.38/4.07 (node14(s123, s124)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10221, 130, 10153])).
% 5.38/4.07 tff(10223,plain,
% 5.38/4.07 (((~![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))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10224,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10225,plain,
% 5.38/4.07 ((~![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)),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 5.38/4.07 tff(10226,plain,
% 5.38/4.07 ((~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)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10225, 704, 10222])).
% 5.38/4.07 tff(10227,plain,
% 5.38/4.07 (m_main_v_state2(s124, c_c2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10226, 10218, 10090, 10146, 10214, 10210])).
% 5.38/4.07 tff(10228,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10229,plain,
% 5.38/4.07 ((~![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)))),
% 5.38/4.07 inference(quant_inst,[status(thm)],[])).
% 5.38/4.07 tff(10230,plain,
% 5.38/4.07 ((~![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))),
% 5.38/4.07 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 5.38/4.07 tff(10231,plain,
% 5.38/4.07 (~m_main_v_state2(s124, c_n2)),
% 5.38/4.07 inference(unit_resolution,[status(thm)],[10230, 716, 10227])).
% 5.38/4.07 tff(10232,plain,
% 5.38/4.07 (((~![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)))),
% 5.38/4.07 inference(rewrite,[status(thm)],[])).
% 5.38/4.07 tff(10233,plain,
% 5.38/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10234,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 5.38/4.08 tff(10235,plain,
% 5.38/4.08 (~node4(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10234, 162, 10231])).
% 5.38/4.08 tff(10236,plain,
% 5.38/4.08 (succ(s124, s125) <=> succ(s124, s125)),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10237,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 5.38/4.08 tff(10238,plain,
% 5.38/4.08 (succ(s124, s125)),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 5.38/4.08 tff(10239,plain,
% 5.38/4.08 (((~![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))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10240,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10241,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 5.38/4.08 tff(10242,plain,
% 5.38/4.08 (trans(s124, s125)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10241, 10238, 57])).
% 5.38/4.08 tff(10243,plain,
% 5.38/4.08 (((~![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))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10244,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10245,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125)),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 5.38/4.08 tff(10246,plain,
% 5.38/4.08 (node7(s124, s125)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10245, 217, 10242])).
% 5.38/4.08 tff(10247,plain,
% 5.38/4.08 (((~![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(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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10248,plain,
% 5.38/4.08 ((~![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(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10249,plain,
% 5.38/4.08 ((~![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(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 5.38/4.08 tff(10250,plain,
% 5.38/4.08 (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10249, 745, 10246])).
% 5.38/4.08 tff(10251,plain,
% 5.38/4.08 (node6(s124, s125)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10250, 10235, 10199, 10195, 10191, 10187, 10170])).
% 5.38/4.08 tff(10252,plain,
% 5.38/4.08 (((~![V: $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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10253,plain,
% 5.38/4.08 (((~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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10254,plain,
% 5.38/4.08 (((~![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))))),
% 5.38/4.08 inference(monotonicity,[status(thm)],[10253])).
% 5.38/4.08 tff(10255,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(transitivity,[status(thm)],[10254, 10252])).
% 5.38/4.08 tff(10256,plain,
% 5.38/4.08 ((~![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))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10257,plain,
% 5.38/4.08 ((~![V: $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))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 5.38/4.08 tff(10258,plain,
% 5.38/4.08 (m_main_v_state1(s125, c_t1)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10257, 760, 10162, 10251])).
% 5.38/4.08 tff(10259,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10260,plain,
% 5.38/4.08 ((~![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)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10261,plain,
% 5.38/4.08 ((~![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))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 5.38/4.08 tff(10262,plain,
% 5.38/4.08 (~m_main_v_state2(s124, c_t2)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10261, 173, 10227])).
% 5.38/4.08 tff(10263,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10264,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10265,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10264, 10263])).
% 5.38/4.08 tff(10266,plain,
% 5.38/4.08 (~node12(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10265, 778, 10262])).
% 5.38/4.08 tff(10267,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10268,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10269,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 5.38/4.08 tff(10270,plain,
% 5.38/4.08 (~node11(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10269, 361, 10166])).
% 5.38/4.08 tff(10271,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10272,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10273,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10272, 10271])).
% 5.38/4.08 tff(10274,plain,
% 5.38/4.08 (~node10(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10273, 793, 10199])).
% 5.38/4.08 tff(10275,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10276,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10277,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 5.38/4.08 tff(10278,plain,
% 5.38/4.08 (~node9(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10277, 804, 10166])).
% 5.38/4.08 tff(10279,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10280,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10281,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 5.38/4.08 tff(10282,plain,
% 5.38/4.08 (~node8(s124)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10281, 383, 10231])).
% 5.38/4.08 tff(10283,plain,
% 5.38/4.08 (((~![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))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10284,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10285,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125)),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 5.38/4.08 tff(10286,plain,
% 5.38/4.08 (node14(s124, s125)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10285, 130, 10242])).
% 5.38/4.08 tff(10287,plain,
% 5.38/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10288,plain,
% 5.38/4.08 (((~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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10289,plain,
% 5.38/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.38/4.08 inference(monotonicity,[status(thm)],[10288])).
% 5.38/4.08 tff(10290,plain,
% 5.38/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.38/4.08 inference(transitivity,[status(thm)],[10289, 10287])).
% 5.38/4.08 tff(10291,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10292,plain,
% 5.38/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 5.38/4.08 tff(10293,plain,
% 5.38/4.08 (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~m_main_v_state2(s124, c_c2))),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10292, 826, 10286])).
% 5.38/4.08 tff(10294,plain,
% 5.38/4.08 (m_main_v_state2(s125, c_n2)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10293, 10282, 10227, 10278, 10274, 10270, 10266])).
% 5.38/4.08 tff(10295,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10296,plain,
% 5.38/4.08 ((~![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)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.38/4.08 tff(10297,plain,
% 5.38/4.08 ((~![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))),
% 5.38/4.08 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 5.38/4.08 tff(10298,plain,
% 5.38/4.08 (~m_main_v_state2(s125, c_t2)),
% 5.38/4.08 inference(unit_resolution,[status(thm)],[10297, 10, 10294])).
% 5.38/4.08 tff(10299,plain,
% 5.38/4.08 (((~![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)))),
% 5.38/4.08 inference(rewrite,[status(thm)],[])).
% 5.38/4.08 tff(10300,plain,
% 5.38/4.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 5.38/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10301,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 5.45/4.08 tff(10302,plain,
% 5.45/4.08 (~node15(s125)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10301, 21, 10298])).
% 5.45/4.08 tff(10303,plain,
% 5.45/4.08 (succ(s125, s126) <=> succ(s125, s126)),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10304,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 5.45/4.08 tff(10305,plain,
% 5.45/4.08 (succ(s125, s126)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 5.45/4.08 tff(10306,plain,
% 5.45/4.08 (((~![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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10307,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10308,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 5.45/4.08 tff(10309,plain,
% 5.45/4.08 (trans(s125, s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10308, 10305, 57])).
% 5.45/4.08 tff(10310,plain,
% 5.45/4.08 (((~![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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10311,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10312,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 5.45/4.08 tff(10313,plain,
% 5.45/4.08 (node18(s125, s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10312, 71, 10309])).
% 5.45/4.08 tff(10314,plain,
% 5.45/4.08 (((~![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(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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10315,plain,
% 5.45/4.08 (((~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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10316,plain,
% 5.45/4.08 (((~![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(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)))),
% 5.45/4.08 inference(monotonicity,[status(thm)],[10315])).
% 5.45/4.08 tff(10317,plain,
% 5.45/4.08 (((~![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(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))),
% 5.45/4.08 inference(transitivity,[status(thm)],[10316, 10314])).
% 5.45/4.08 tff(10318,plain,
% 5.45/4.08 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10319,plain,
% 5.45/4.08 ((~![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(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)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 5.45/4.08 tff(10320,plain,
% 5.45/4.08 (node15(s125) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10319, 863, 10313])).
% 5.45/4.08 tff(10321,plain,
% 5.45/4.08 (m_main_v_turn(s126, c_1)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10320, 10302, 10294, 10258])).
% 5.45/4.08 tff(10322,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10323,plain,
% 5.45/4.08 ((~![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)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10324,plain,
% 5.45/4.08 ((~![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))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 5.45/4.08 tff(10325,plain,
% 5.45/4.08 (~m_main_v_turn(s126, c_2)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10324, 322, 10321])).
% 5.45/4.08 tff(10326,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10327,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10328,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 5.45/4.08 tff(10329,plain,
% 5.45/4.08 (~node12(s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10328, 350, 10325])).
% 5.45/4.08 tff(10330,plain,
% 5.45/4.08 (((~![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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10331,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10332,plain,
% 5.45/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 5.45/4.08 tff(10333,plain,
% 5.45/4.08 (node14(s125, s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10332, 130, 10309])).
% 5.45/4.08 tff(10334,plain,
% 5.45/4.08 (((~![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))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10335,plain,
% 5.45/4.08 ((~![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))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10336,plain,
% 5.45/4.08 ((~![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)),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 5.45/4.08 tff(10337,plain,
% 5.45/4.08 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state2(s126, c_t2)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10336, 893, 10333])).
% 5.45/4.08 tff(10338,plain,
% 5.45/4.08 (m_main_v_state2(s126, c_t2)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10337, 10258, 10294])).
% 5.45/4.08 tff(10339,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10340,plain,
% 5.45/4.08 ((~![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)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10341,plain,
% 5.45/4.08 ((~![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))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 5.45/4.08 tff(10342,plain,
% 5.45/4.08 (~m_main_v_state2(s126, c_n2)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10341, 10, 10338])).
% 5.45/4.08 tff(10343,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10344,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10345,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 5.45/4.08 tff(10346,plain,
% 5.45/4.08 (~node8(s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10345, 383, 10342])).
% 5.45/4.08 tff(10347,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10348,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10349,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 5.45/4.08 tff(10350,plain,
% 5.45/4.08 (~node9(s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10349, 311, 10342])).
% 5.45/4.08 tff(10351,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.08 inference(rewrite,[status(thm)],[])).
% 5.45/4.08 tff(10352,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 5.45/4.08 inference(quant_inst,[status(thm)],[])).
% 5.45/4.08 tff(10353,plain,
% 5.45/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126))),
% 5.45/4.08 inference(modus_ponens,[status(thm)],[10352, 10351])).
% 5.45/4.08 tff(10354,plain,
% 5.45/4.08 (~node10(s126)),
% 5.45/4.08 inference(unit_resolution,[status(thm)],[10353, 372, 10342])).
% 5.45/4.08 tff(10355,plain,
% 5.45/4.08 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10356,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10357,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 5.45/4.09 tff(10358,plain,
% 5.45/4.09 (~m_main_v_state2(s126, c_c2)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10357, 173, 10338])).
% 5.45/4.09 tff(10359,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10360,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10361,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10360, 10359])).
% 5.45/4.09 tff(10362,plain,
% 5.45/4.09 (~m_main_v_state2(s125, c_c2)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10361, 716, 10294])).
% 5.45/4.09 tff(10363,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10364,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10365,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 5.45/4.09 tff(10366,plain,
% 5.45/4.09 (~node3(s125)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10365, 184, 10362])).
% 5.45/4.09 tff(10367,plain,
% 5.45/4.09 (((~![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(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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10368,plain,
% 5.45/4.09 (((~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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10369,plain,
% 5.45/4.09 (((~![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))))),
% 5.45/4.09 inference(monotonicity,[status(thm)],[10368])).
% 5.45/4.09 tff(10370,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(transitivity,[status(thm)],[10369, 10367])).
% 5.45/4.09 tff(10371,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10372,plain,
% 5.45/4.09 ((~![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(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 5.45/4.09 tff(10373,plain,
% 5.45/4.09 (~m_main_v_state1(s125, c_n1)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10372, 936, 10166, 10251])).
% 5.45/4.09 tff(10374,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10375,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10376,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 5.45/4.09 tff(10377,plain,
% 5.45/4.09 (~node2(s125)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10376, 652, 10373])).
% 5.45/4.09 tff(10378,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10379,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10380,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 5.45/4.09 tff(10381,plain,
% 5.45/4.09 (~node1(s125)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10380, 206, 10298])).
% 5.45/4.09 tff(10382,plain,
% 5.45/4.09 (((~![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))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10383,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10384,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126)),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10383, 10382])).
% 5.45/4.09 tff(10385,plain,
% 5.45/4.09 (node7(s125, s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10384, 217, 10309])).
% 5.45/4.09 tff(10386,plain,
% 5.45/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10387,plain,
% 5.45/4.09 (((~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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10388,plain,
% 5.45/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.45/4.09 inference(monotonicity,[status(thm)],[10387])).
% 5.45/4.09 tff(10389,plain,
% 5.45/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.09 inference(transitivity,[status(thm)],[10388, 10386])).
% 5.45/4.09 tff(10390,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10391,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 5.45/4.09 tff(10392,plain,
% 5.45/4.09 ((~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)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10391, 965, 10385])).
% 5.45/4.09 tff(10393,plain,
% 5.45/4.09 (m_main_v_state1(s126, c_c1)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10392, 10381, 10294, 10258, 10377, 10366])).
% 5.45/4.09 tff(10394,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10395,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10396,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 5.45/4.09 tff(10397,plain,
% 5.45/4.09 (~m_main_v_state1(s126, c_n1)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10396, 449, 10393])).
% 5.45/4.09 tff(10398,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10399,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10400,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10399, 10398])).
% 5.45/4.09 tff(10401,plain,
% 5.45/4.09 (~node11(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10400, 361, 10397])).
% 5.45/4.09 tff(10402,plain,
% 5.45/4.09 (succ(s126, s127) <=> succ(s126, s127)),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10403,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 5.45/4.09 tff(10404,plain,
% 5.45/4.09 (succ(s126, s127)),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10403, 10402])).
% 5.45/4.09 tff(10405,plain,
% 5.45/4.09 (((~![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))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10406,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10407,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 5.45/4.09 tff(10408,plain,
% 5.45/4.09 (trans(s126, s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10407, 10404, 57])).
% 5.45/4.09 tff(10409,plain,
% 5.45/4.09 (((~![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))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10410,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10411,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127)),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 5.45/4.09 tff(10412,plain,
% 5.45/4.09 (node14(s126, s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10411, 130, 10408])).
% 5.45/4.09 tff(10413,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10414,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10415,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10414, 10413])).
% 5.45/4.09 tff(10416,plain,
% 5.45/4.09 (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10415, 401, 10412])).
% 5.45/4.09 tff(10417,plain,
% 5.45/4.09 (node13(s126, s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10416, 10401, 10358, 10354, 10350, 10346, 10329])).
% 5.45/4.09 tff(10418,plain,
% 5.45/4.09 (((~![V: $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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10419,plain,
% 5.45/4.09 (((~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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10420,plain,
% 5.45/4.09 (((~![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))))),
% 5.45/4.09 inference(monotonicity,[status(thm)],[10419])).
% 5.45/4.09 tff(10421,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(transitivity,[status(thm)],[10420, 10418])).
% 5.45/4.09 tff(10422,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10423,plain,
% 5.45/4.09 ((~![V: $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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 5.45/4.09 tff(10424,plain,
% 5.45/4.09 (~m_main_v_state2(s127, c_n2)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10423, 416, 10342, 10417])).
% 5.45/4.09 tff(10425,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10426,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10427,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 5.45/4.09 tff(10428,plain,
% 5.45/4.09 (~node9(s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10427, 311, 10424])).
% 5.45/4.09 tff(10429,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10430,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10431,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 5.45/4.09 tff(10432,plain,
% 5.45/4.09 (~node10(s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10431, 372, 10424])).
% 5.45/4.09 tff(10433,plain,
% 5.45/4.09 (((~![V: $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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10434,plain,
% 5.45/4.09 (((~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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10435,plain,
% 5.45/4.09 (((~![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))))),
% 5.45/4.09 inference(monotonicity,[status(thm)],[10434])).
% 5.45/4.09 tff(10436,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(transitivity,[status(thm)],[10435, 10433])).
% 5.45/4.09 tff(10437,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10438,plain,
% 5.45/4.09 ((~![V: $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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 5.45/4.09 tff(10439,plain,
% 5.45/4.09 (m_main_v_state2(s127, c_t2)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10438, 563, 10338, 10417])).
% 5.45/4.09 tff(10440,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10441,plain,
% 5.45/4.09 ((~![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)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10442,plain,
% 5.45/4.09 ((~![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))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10441, 10440])).
% 5.45/4.09 tff(10443,plain,
% 5.45/4.09 (~m_main_v_state1(s126, c_t1)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10442, 289, 10393])).
% 5.45/4.09 tff(10444,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10445,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10446,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 5.45/4.09 tff(10447,plain,
% 5.45/4.09 (~node5(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10446, 300, 10443])).
% 5.45/4.09 tff(10448,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10449,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10450,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10449, 10448])).
% 5.45/4.09 tff(10451,plain,
% 5.45/4.09 (~node4(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10450, 162, 10342])).
% 5.45/4.09 tff(10452,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10453,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10454,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 5.45/4.09 tff(10455,plain,
% 5.45/4.09 (~node3(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10454, 184, 10358])).
% 5.45/4.09 tff(10456,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10457,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10458,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 5.45/4.09 tff(10459,plain,
% 5.45/4.09 (~node2(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10458, 195, 10342])).
% 5.45/4.09 tff(10460,plain,
% 5.45/4.09 (((~![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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10461,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10462,plain,
% 5.45/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126))),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 5.45/4.09 tff(10463,plain,
% 5.45/4.09 (~node1(s126)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10462, 249, 10397])).
% 5.45/4.09 tff(10464,plain,
% 5.45/4.09 (((~![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))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10465,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))),
% 5.45/4.09 inference(quant_inst,[status(thm)],[])).
% 5.45/4.09 tff(10466,plain,
% 5.45/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127)),
% 5.45/4.09 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 5.45/4.09 tff(10467,plain,
% 5.45/4.09 (node7(s126, s127)),
% 5.45/4.09 inference(unit_resolution,[status(thm)],[10466, 217, 10408])).
% 5.45/4.09 tff(10468,plain,
% 5.45/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10469,plain,
% 5.45/4.09 (((~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)))),
% 5.45/4.09 inference(rewrite,[status(thm)],[])).
% 5.45/4.09 tff(10470,plain,
% 5.45/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.45/4.10 inference(monotonicity,[status(thm)],[10469])).
% 5.45/4.10 tff(10471,plain,
% 5.45/4.10 (((~![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(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)))),
% 5.45/4.10 inference(transitivity,[status(thm)],[10470, 10468])).
% 5.45/4.10 tff(10472,plain,
% 5.45/4.10 ((~![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(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10473,plain,
% 5.45/4.10 ((~![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(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10472, 10471])).
% 5.45/4.10 tff(10474,plain,
% 5.45/4.10 (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10473, 478, 10467])).
% 5.45/4.10 tff(10475,plain,
% 5.45/4.10 (m_main_v_state1(s127, c_n1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10474, 10463, 10393, 10459, 10455, 10451, 10447])).
% 5.45/4.10 tff(10476,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10477,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10478,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10477, 10476])).
% 5.45/4.10 tff(10479,plain,
% 5.45/4.10 (~node8(s127)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10478, 383, 10424])).
% 5.45/4.10 tff(10480,plain,
% 5.45/4.10 (succ(s127, s128) <=> succ(s127, s128)),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10481,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 5.45/4.10 tff(10482,plain,
% 5.45/4.10 (succ(s127, s128)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 5.45/4.10 tff(10483,plain,
% 5.45/4.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10484,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10485,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10484, 10483])).
% 5.45/4.10 tff(10486,plain,
% 5.45/4.10 (trans(s127, s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10485, 10482, 57])).
% 5.45/4.10 tff(10487,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10488,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10489,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10488, 10487])).
% 5.45/4.10 tff(10490,plain,
% 5.45/4.10 (node14(s127, s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10489, 130, 10486])).
% 5.45/4.10 tff(10491,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10492,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10493,plain,
% 5.45/4.10 ((~![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)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 5.45/4.10 tff(10494,plain,
% 5.45/4.10 ((~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)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10493, 704, 10490])).
% 5.45/4.10 tff(10495,plain,
% 5.45/4.10 (m_main_v_state2(s128, c_c2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10494, 10479, 10475, 10439, 10432, 10428])).
% 5.45/4.10 tff(10496,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10497,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10498,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 5.45/4.10 tff(10499,plain,
% 5.45/4.10 (~m_main_v_state2(s128, c_t2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10498, 173, 10495])).
% 5.45/4.10 tff(10500,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10501,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10502,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 5.45/4.10 tff(10503,plain,
% 5.45/4.10 (~node12(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10502, 778, 10499])).
% 5.45/4.10 tff(10504,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10505,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10506,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 5.45/4.10 tff(10507,plain,
% 5.45/4.10 (node7(s127, s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10506, 217, 10486])).
% 5.45/4.10 tff(10508,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10509,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10510,plain,
% 5.45/4.10 ((~![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)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 5.45/4.10 tff(10511,plain,
% 5.45/4.10 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_state1(s128, c_t1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10510, 598, 10507])).
% 5.45/4.10 tff(10512,plain,
% 5.45/4.10 (m_main_v_state1(s128, c_t1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10511, 10439, 10475])).
% 5.45/4.10 tff(10513,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10514,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10515,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10514, 10513])).
% 5.45/4.10 tff(10516,plain,
% 5.45/4.10 (~m_main_v_state1(s128, c_n1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10515, 35, 10512])).
% 5.45/4.10 tff(10517,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10518,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10519,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 5.45/4.10 tff(10520,plain,
% 5.45/4.10 (~node11(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10519, 361, 10516])).
% 5.45/4.10 tff(10521,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10522,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10523,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 5.45/4.10 tff(10524,plain,
% 5.45/4.10 (~m_main_v_state1(s128, c_c1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10523, 289, 10512])).
% 5.45/4.10 tff(10525,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10526,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10527,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 5.45/4.10 tff(10528,plain,
% 5.45/4.10 (~node10(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10527, 793, 10524])).
% 5.45/4.10 tff(10529,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10530,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10531,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 5.45/4.10 tff(10532,plain,
% 5.45/4.10 (~node9(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10531, 804, 10516])).
% 5.45/4.10 tff(10533,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10534,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10535,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 5.45/4.10 tff(10536,plain,
% 5.45/4.10 (~m_main_v_state2(s128, c_n2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10535, 716, 10495])).
% 5.45/4.10 tff(10537,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10538,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10539,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 5.45/4.10 tff(10540,plain,
% 5.45/4.10 (~node8(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10539, 383, 10536])).
% 5.45/4.10 tff(10541,plain,
% 5.45/4.10 (succ(s128, s129) <=> succ(s128, s129)),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10542,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 5.45/4.10 tff(10543,plain,
% 5.45/4.10 (succ(s128, s129)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 5.45/4.10 tff(10544,plain,
% 5.45/4.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10545,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10546,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 5.45/4.10 tff(10547,plain,
% 5.45/4.10 (trans(s128, s129)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10546, 10543, 57])).
% 5.45/4.10 tff(10548,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10549,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10550,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 5.45/4.10 tff(10551,plain,
% 5.45/4.10 (node14(s128, s129)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10550, 130, 10547])).
% 5.45/4.10 tff(10552,plain,
% 5.45/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10553,plain,
% 5.45/4.10 (((~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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10554,plain,
% 5.45/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.45/4.10 inference(monotonicity,[status(thm)],[10553])).
% 5.45/4.10 tff(10555,plain,
% 5.45/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.45/4.10 inference(transitivity,[status(thm)],[10554, 10552])).
% 5.45/4.10 tff(10556,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10557,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10556, 10555])).
% 5.45/4.10 tff(10558,plain,
% 5.45/4.10 (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~m_main_v_state2(s128, c_c2))),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10557, 826, 10551])).
% 5.45/4.10 tff(10559,plain,
% 5.45/4.10 (m_main_v_state2(s129, c_n2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10558, 10540, 10495, 10532, 10528, 10520, 10503])).
% 5.45/4.10 tff(10560,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10561,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10562,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10561, 10560])).
% 5.45/4.10 tff(10563,plain,
% 5.45/4.10 (~m_main_v_state2(s129, c_c2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10562, 716, 10559])).
% 5.45/4.10 tff(10564,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10565,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10566,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 5.45/4.10 tff(10567,plain,
% 5.45/4.10 (~node3(s129)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10566, 184, 10563])).
% 5.45/4.10 tff(10568,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10569,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10570,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 5.45/4.10 tff(10571,plain,
% 5.45/4.10 (~node1(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10570, 249, 10516])).
% 5.45/4.10 tff(10572,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10573,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10574,plain,
% 5.45/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 5.45/4.10 tff(10575,plain,
% 5.45/4.10 (node18(s127, s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10574, 71, 10486])).
% 5.45/4.10 tff(10576,plain,
% 5.45/4.10 (((~![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))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10577,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10578,plain,
% 5.45/4.10 ((~![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)),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 5.45/4.10 tff(10579,plain,
% 5.45/4.10 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_turn(s128, c_2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10578, 625, 10575])).
% 5.45/4.10 tff(10580,plain,
% 5.45/4.10 (m_main_v_turn(s128, c_2)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10579, 10439, 10475])).
% 5.45/4.10 tff(10581,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10582,plain,
% 5.45/4.10 ((~![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)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10583,plain,
% 5.45/4.10 ((~![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))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 5.45/4.10 tff(10584,plain,
% 5.45/4.10 (~m_main_v_turn(s128, c_1)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10583, 322, 10580])).
% 5.45/4.10 tff(10585,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10586,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10587,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 5.45/4.10 tff(10588,plain,
% 5.45/4.10 (~node5(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10587, 641, 10584])).
% 5.45/4.10 tff(10589,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.10 inference(rewrite,[status(thm)],[])).
% 5.45/4.10 tff(10590,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 5.45/4.10 inference(quant_inst,[status(thm)],[])).
% 5.45/4.10 tff(10591,plain,
% 5.45/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128))),
% 5.45/4.10 inference(modus_ponens,[status(thm)],[10590, 10589])).
% 5.45/4.10 tff(10592,plain,
% 5.45/4.10 (~node2(s128)),
% 5.45/4.10 inference(unit_resolution,[status(thm)],[10591, 652, 10516])).
% 5.45/4.10 tff(10593,plain,
% 5.45/4.10 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10594,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10595,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 5.45/4.11 tff(10596,plain,
% 5.45/4.11 (~node3(s128)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10595, 663, 10516])).
% 5.45/4.11 tff(10597,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10598,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10599,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 5.45/4.11 tff(10600,plain,
% 5.45/4.11 (~node4(s128)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10599, 162, 10536])).
% 5.45/4.11 tff(10601,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10602,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10603,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10602, 10601])).
% 5.45/4.11 tff(10604,plain,
% 5.45/4.11 (node7(s128, s129)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10603, 217, 10547])).
% 5.45/4.11 tff(10605,plain,
% 5.45/4.11 (((~![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(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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10606,plain,
% 5.45/4.11 ((~![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(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10607,plain,
% 5.45/4.11 ((~![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(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 5.45/4.11 tff(10608,plain,
% 5.45/4.11 (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10607, 745, 10604])).
% 5.45/4.11 tff(10609,plain,
% 5.45/4.11 (node6(s128, s129)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10608, 10600, 10524, 10596, 10592, 10588, 10571])).
% 5.45/4.11 tff(10610,plain,
% 5.45/4.11 (((~![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(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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10611,plain,
% 5.45/4.11 (((~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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10612,plain,
% 5.45/4.11 (((~![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))))),
% 5.45/4.11 inference(monotonicity,[status(thm)],[10611])).
% 5.45/4.11 tff(10613,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(transitivity,[status(thm)],[10612, 10610])).
% 5.45/4.11 tff(10614,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10615,plain,
% 5.45/4.11 ((~![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(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 5.45/4.11 tff(10616,plain,
% 5.45/4.11 (~m_main_v_state1(s129, c_n1)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10615, 936, 10516, 10609])).
% 5.45/4.11 tff(10617,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10618,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10619,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 5.45/4.11 tff(10620,plain,
% 5.45/4.11 (~node2(s129)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10619, 652, 10616])).
% 5.45/4.11 tff(10621,plain,
% 5.45/4.11 (((~![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(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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10622,plain,
% 5.45/4.11 (((~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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10623,plain,
% 5.45/4.11 (((~![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))))),
% 5.45/4.11 inference(monotonicity,[status(thm)],[10622])).
% 5.45/4.11 tff(10624,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(transitivity,[status(thm)],[10623, 10621])).
% 5.45/4.11 tff(10625,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10626,plain,
% 5.45/4.11 ((~![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(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 5.45/4.11 tff(10627,plain,
% 5.45/4.11 (m_main_v_state1(s129, c_t1)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10626, 760, 10512, 10609])).
% 5.45/4.11 tff(10628,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10629,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10630,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10629, 10628])).
% 5.45/4.11 tff(10631,plain,
% 5.45/4.11 (~m_main_v_state2(s129, c_t2)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10630, 10, 10559])).
% 5.45/4.11 tff(10632,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10633,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10634,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 5.45/4.11 tff(10635,plain,
% 5.45/4.11 (~node1(s129)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10634, 206, 10631])).
% 5.45/4.11 tff(10636,plain,
% 5.45/4.11 (succ(s129, s130) <=> succ(s129, s130)),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10637,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 5.45/4.11 tff(10638,plain,
% 5.45/4.11 (succ(s129, s130)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 5.45/4.11 tff(10639,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10640,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10641,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 5.45/4.11 tff(10642,plain,
% 5.45/4.11 (trans(s129, s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10641, 10638, 57])).
% 5.45/4.11 tff(10643,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10644,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10645,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10644, 10643])).
% 5.45/4.11 tff(10646,plain,
% 5.45/4.11 (node7(s129, s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10645, 217, 10642])).
% 5.45/4.11 tff(10647,plain,
% 5.45/4.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10648,plain,
% 5.45/4.11 (((~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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10649,plain,
% 5.45/4.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.45/4.11 inference(monotonicity,[status(thm)],[10648])).
% 5.45/4.11 tff(10650,plain,
% 5.45/4.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.11 inference(transitivity,[status(thm)],[10649, 10647])).
% 5.45/4.11 tff(10651,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10652,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10651, 10650])).
% 5.45/4.11 tff(10653,plain,
% 5.45/4.11 ((~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)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10652, 965, 10646])).
% 5.45/4.11 tff(10654,plain,
% 5.45/4.11 (m_main_v_state1(s130, c_c1)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10653, 10635, 10559, 10627, 10620, 10567])).
% 5.45/4.11 tff(10655,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10656,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10657,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 5.45/4.11 tff(10658,plain,
% 5.45/4.11 (~m_main_v_state1(s130, c_t1)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10657, 289, 10654])).
% 5.45/4.11 tff(10659,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10660,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10661,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 5.45/4.11 tff(10662,plain,
% 5.45/4.11 (~node5(s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10661, 300, 10658])).
% 5.45/4.11 tff(10663,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10664,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10665,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 5.45/4.11 tff(10666,plain,
% 5.45/4.11 (node14(s129, s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10665, 130, 10642])).
% 5.45/4.11 tff(10667,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10668,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10669,plain,
% 5.45/4.11 ((~![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)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 5.45/4.11 tff(10670,plain,
% 5.45/4.11 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state2(s130, c_t2)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10669, 893, 10666])).
% 5.45/4.11 tff(10671,plain,
% 5.45/4.11 (m_main_v_state2(s130, c_t2)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10670, 10627, 10559])).
% 5.45/4.11 tff(10672,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10673,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10674,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 5.45/4.11 tff(10675,plain,
% 5.45/4.11 (~m_main_v_state2(s130, c_n2)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10674, 10, 10671])).
% 5.45/4.11 tff(10676,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10677,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10678,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 5.45/4.11 tff(10679,plain,
% 5.45/4.11 (~node4(s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10678, 162, 10675])).
% 5.45/4.11 tff(10680,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10681,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10682,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 5.45/4.11 tff(10683,plain,
% 5.45/4.11 (~m_main_v_state2(s130, c_c2)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10682, 173, 10671])).
% 5.45/4.11 tff(10684,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10685,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10686,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 5.45/4.11 tff(10687,plain,
% 5.45/4.11 (~node3(s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10686, 184, 10683])).
% 5.45/4.11 tff(10688,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10689,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10690,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 5.45/4.11 tff(10691,plain,
% 5.45/4.11 (~node2(s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10690, 195, 10675])).
% 5.45/4.11 tff(10692,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10693,plain,
% 5.45/4.11 ((~![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)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10694,plain,
% 5.45/4.11 ((~![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))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 5.45/4.11 tff(10695,plain,
% 5.45/4.11 (~m_main_v_state1(s130, c_n1)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10694, 449, 10654])).
% 5.45/4.11 tff(10696,plain,
% 5.45/4.11 (((~![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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10697,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10698,plain,
% 5.45/4.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130))),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 5.45/4.11 tff(10699,plain,
% 5.45/4.11 (~node1(s130)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10698, 249, 10695])).
% 5.45/4.11 tff(10700,plain,
% 5.45/4.11 (succ(s130, s131) <=> succ(s130, s131)),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10701,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 5.45/4.11 tff(10702,plain,
% 5.45/4.11 (succ(s130, s131)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 5.45/4.11 tff(10703,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10704,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10705,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 5.45/4.11 tff(10706,plain,
% 5.45/4.11 (trans(s130, s131)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10705, 10702, 57])).
% 5.45/4.11 tff(10707,plain,
% 5.45/4.11 (((~![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))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10708,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))),
% 5.45/4.11 inference(quant_inst,[status(thm)],[])).
% 5.45/4.11 tff(10709,plain,
% 5.45/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131)),
% 5.45/4.11 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 5.45/4.11 tff(10710,plain,
% 5.45/4.11 (node7(s130, s131)),
% 5.45/4.11 inference(unit_resolution,[status(thm)],[10709, 217, 10706])).
% 5.45/4.11 tff(10711,plain,
% 5.45/4.11 (((~![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(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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10712,plain,
% 5.45/4.11 (((~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)))),
% 5.45/4.11 inference(rewrite,[status(thm)],[])).
% 5.45/4.11 tff(10713,plain,
% 5.45/4.11 (((~![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(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))))),
% 5.45/4.12 inference(monotonicity,[status(thm)],[10712])).
% 5.45/4.12 tff(10714,plain,
% 5.45/4.12 (((~![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(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)))),
% 5.45/4.12 inference(transitivity,[status(thm)],[10713, 10711])).
% 5.45/4.12 tff(10715,plain,
% 5.45/4.12 ((~![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(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10716,plain,
% 5.45/4.12 ((~![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(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10715, 10714])).
% 5.45/4.12 tff(10717,plain,
% 5.45/4.12 (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10716, 478, 10710])).
% 5.45/4.12 tff(10718,plain,
% 5.45/4.12 (m_main_v_state1(s131, c_n1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10717, 10699, 10654, 10691, 10687, 10679, 10662])).
% 5.45/4.12 tff(10719,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10720,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10721,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 5.45/4.12 tff(10722,plain,
% 5.45/4.12 (~node15(s129)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10721, 21, 10631])).
% 5.45/4.12 tff(10723,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10724,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10725,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 5.45/4.12 tff(10726,plain,
% 5.45/4.12 (node18(s129, s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10725, 71, 10642])).
% 5.45/4.12 tff(10727,plain,
% 5.45/4.12 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10728,plain,
% 5.45/4.12 (((~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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10729,plain,
% 5.45/4.12 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.45/4.12 inference(monotonicity,[status(thm)],[10728])).
% 5.45/4.12 tff(10730,plain,
% 5.45/4.12 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.12 inference(transitivity,[status(thm)],[10729, 10727])).
% 5.45/4.12 tff(10731,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10732,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 5.45/4.12 tff(10733,plain,
% 5.45/4.12 (node15(s129) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10732, 863, 10726])).
% 5.45/4.12 tff(10734,plain,
% 5.45/4.12 (m_main_v_turn(s130, c_1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10733, 10722, 10559, 10627])).
% 5.45/4.12 tff(10735,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10736,plain,
% 5.45/4.12 ((~![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)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10737,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 5.45/4.12 tff(10738,plain,
% 5.45/4.12 (~m_main_v_turn(s130, c_2)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10737, 322, 10734])).
% 5.45/4.12 tff(10739,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10740,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10741,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10740, 10739])).
% 5.45/4.12 tff(10742,plain,
% 5.45/4.12 (~node12(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10741, 350, 10738])).
% 5.45/4.12 tff(10743,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10744,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10745,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 5.45/4.12 tff(10746,plain,
% 5.45/4.12 (~node8(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10745, 383, 10675])).
% 5.45/4.12 tff(10747,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10748,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10749,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 5.45/4.12 tff(10750,plain,
% 5.45/4.12 (~node9(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10749, 311, 10675])).
% 5.45/4.12 tff(10751,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10752,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10753,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 5.45/4.12 tff(10754,plain,
% 5.45/4.12 (~node10(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10753, 372, 10675])).
% 5.45/4.12 tff(10755,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10756,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10757,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10756, 10755])).
% 5.45/4.12 tff(10758,plain,
% 5.45/4.12 (~node11(s130)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10757, 361, 10695])).
% 5.45/4.12 tff(10759,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10760,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10761,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 5.45/4.12 tff(10762,plain,
% 5.45/4.12 (node14(s130, s131)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10761, 130, 10706])).
% 5.45/4.12 tff(10763,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10764,plain,
% 5.45/4.12 ((~![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)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10765,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 5.45/4.12 tff(10766,plain,
% 5.45/4.12 (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10765, 401, 10762])).
% 5.45/4.12 tff(10767,plain,
% 5.45/4.12 (node13(s130, s131)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10766, 10758, 10683, 10754, 10750, 10746, 10742])).
% 5.45/4.12 tff(10768,plain,
% 5.45/4.12 (((~![V: $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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10769,plain,
% 5.45/4.12 (((~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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10770,plain,
% 5.45/4.12 (((~![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))))),
% 5.45/4.12 inference(monotonicity,[status(thm)],[10769])).
% 5.45/4.12 tff(10771,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(transitivity,[status(thm)],[10770, 10768])).
% 5.45/4.12 tff(10772,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10773,plain,
% 5.45/4.12 ((~![V: $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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10772, 10771])).
% 5.45/4.12 tff(10774,plain,
% 5.45/4.12 (m_main_v_state2(s131, c_t2)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10773, 563, 10671, 10767])).
% 5.45/4.12 tff(10775,plain,
% 5.45/4.12 (succ(s131, s132) <=> succ(s131, s132)),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10776,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 5.45/4.12 tff(10777,plain,
% 5.45/4.12 (succ(s131, s132)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 5.45/4.12 tff(10778,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10779,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10780,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 5.45/4.12 tff(10781,plain,
% 5.45/4.12 (trans(s131, s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10780, 10777, 57])).
% 5.45/4.12 tff(10782,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10783,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10784,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 5.45/4.12 tff(10785,plain,
% 5.45/4.12 (node7(s131, s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10784, 217, 10781])).
% 5.45/4.12 tff(10786,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10787,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10788,plain,
% 5.45/4.12 ((~![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)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10787, 10786])).
% 5.45/4.12 tff(10789,plain,
% 5.45/4.12 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_state1(s132, c_t1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10788, 598, 10785])).
% 5.45/4.12 tff(10790,plain,
% 5.45/4.12 (m_main_v_state1(s132, c_t1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10789, 10774, 10718])).
% 5.45/4.12 tff(10791,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10792,plain,
% 5.45/4.12 ((~![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)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10793,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 5.45/4.12 tff(10794,plain,
% 5.45/4.12 (~m_main_v_state1(s132, c_n1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10793, 35, 10790])).
% 5.45/4.12 tff(10795,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10796,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10797,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 5.45/4.12 tff(10798,plain,
% 5.45/4.12 (~node1(s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10797, 249, 10794])).
% 5.45/4.12 tff(10799,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10800,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10801,plain,
% 5.45/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 5.45/4.12 tff(10802,plain,
% 5.45/4.12 (node18(s131, s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10801, 71, 10781])).
% 5.45/4.12 tff(10803,plain,
% 5.45/4.12 (((~![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))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10804,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10805,plain,
% 5.45/4.12 ((~![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)),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10804, 10803])).
% 5.45/4.12 tff(10806,plain,
% 5.45/4.12 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_turn(s132, c_2)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10805, 625, 10802])).
% 5.45/4.12 tff(10807,plain,
% 5.45/4.12 (m_main_v_turn(s132, c_2)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10806, 10774, 10718])).
% 5.45/4.12 tff(10808,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10809,plain,
% 5.45/4.12 ((~![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)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10810,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 5.45/4.12 tff(10811,plain,
% 5.45/4.12 (~m_main_v_turn(s132, c_1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10810, 322, 10807])).
% 5.45/4.12 tff(10812,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10813,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10814,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 5.45/4.12 tff(10815,plain,
% 5.45/4.12 (~node5(s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10814, 641, 10811])).
% 5.45/4.12 tff(10816,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10817,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10818,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10817, 10816])).
% 5.45/4.12 tff(10819,plain,
% 5.45/4.12 (~node2(s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10818, 652, 10794])).
% 5.45/4.12 tff(10820,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10821,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10822,plain,
% 5.45/4.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10821, 10820])).
% 5.45/4.12 tff(10823,plain,
% 5.45/4.12 (~node3(s132)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10822, 663, 10794])).
% 5.45/4.12 tff(10824,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10825,plain,
% 5.45/4.12 ((~![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)))),
% 5.45/4.12 inference(quant_inst,[status(thm)],[])).
% 5.45/4.12 tff(10826,plain,
% 5.45/4.12 ((~![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))),
% 5.45/4.12 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 5.45/4.12 tff(10827,plain,
% 5.45/4.12 (~m_main_v_state1(s132, c_c1)),
% 5.45/4.12 inference(unit_resolution,[status(thm)],[10826, 289, 10790])).
% 5.45/4.12 tff(10828,plain,
% 5.45/4.12 (((~![V: $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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10829,plain,
% 5.45/4.12 (((~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)))),
% 5.45/4.12 inference(rewrite,[status(thm)],[])).
% 5.45/4.12 tff(10830,plain,
% 5.45/4.12 (((~![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))))),
% 5.45/4.12 inference(monotonicity,[status(thm)],[10829])).
% 5.45/4.12 tff(10831,plain,
% 5.45/4.12 (((~![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)))),
% 5.45/4.13 inference(transitivity,[status(thm)],[10830, 10828])).
% 5.45/4.13 tff(10832,plain,
% 5.45/4.13 ((~![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)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10833,plain,
% 5.45/4.13 ((~![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(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 5.45/4.13 tff(10834,plain,
% 5.45/4.13 (~m_main_v_state2(s131, c_n2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10833, 416, 10675, 10767])).
% 5.45/4.13 tff(10835,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10836,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10837,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 5.45/4.13 tff(10838,plain,
% 5.45/4.13 (~node9(s131)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10837, 311, 10834])).
% 5.45/4.13 tff(10839,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10840,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10841,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10840, 10839])).
% 5.45/4.13 tff(10842,plain,
% 5.45/4.13 (~node10(s131)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10841, 372, 10834])).
% 5.45/4.13 tff(10843,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10844,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10845,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 5.45/4.13 tff(10846,plain,
% 5.45/4.13 (~node8(s131)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10845, 383, 10834])).
% 5.45/4.13 tff(10847,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10848,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10849,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 5.45/4.13 tff(10850,plain,
% 5.45/4.13 (node14(s131, s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10849, 130, 10781])).
% 5.45/4.13 tff(10851,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10852,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10853,plain,
% 5.45/4.13 ((~![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)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 5.45/4.13 tff(10854,plain,
% 5.45/4.13 ((~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)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10853, 704, 10850])).
% 5.45/4.13 tff(10855,plain,
% 5.45/4.13 (m_main_v_state2(s132, c_c2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10854, 10846, 10718, 10774, 10842, 10838])).
% 5.45/4.13 tff(10856,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10857,plain,
% 5.45/4.13 ((~![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)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10858,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 5.45/4.13 tff(10859,plain,
% 5.45/4.13 (~m_main_v_state2(s132, c_n2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10858, 716, 10855])).
% 5.45/4.13 tff(10860,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10861,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10862,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 5.45/4.13 tff(10863,plain,
% 5.45/4.13 (~node4(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10862, 162, 10859])).
% 5.45/4.13 tff(10864,plain,
% 5.45/4.13 (succ(s132, s133) <=> succ(s132, s133)),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10865,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 5.45/4.13 tff(10866,plain,
% 5.45/4.13 (succ(s132, s133)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 5.45/4.13 tff(10867,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10868,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10869,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 5.45/4.13 tff(10870,plain,
% 5.45/4.13 (trans(s132, s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10869, 10866, 57])).
% 5.45/4.13 tff(10871,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10872,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10873,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 5.45/4.13 tff(10874,plain,
% 5.45/4.13 (node7(s132, s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10873, 217, 10870])).
% 5.45/4.13 tff(10875,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10876,plain,
% 5.45/4.13 ((~![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)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10877,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10876, 10875])).
% 5.45/4.13 tff(10878,plain,
% 5.45/4.13 (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10877, 745, 10874])).
% 5.45/4.13 tff(10879,plain,
% 5.45/4.13 (node6(s132, s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10878, 10863, 10827, 10823, 10819, 10815, 10798])).
% 5.45/4.13 tff(10880,plain,
% 5.45/4.13 (((~![V: $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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10881,plain,
% 5.45/4.13 (((~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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10882,plain,
% 5.45/4.13 (((~![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))))),
% 5.45/4.13 inference(monotonicity,[status(thm)],[10881])).
% 5.45/4.13 tff(10883,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(transitivity,[status(thm)],[10882, 10880])).
% 5.45/4.13 tff(10884,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10885,plain,
% 5.45/4.13 ((~![V: $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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 5.45/4.13 tff(10886,plain,
% 5.45/4.13 (m_main_v_state1(s133, c_t1)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10885, 760, 10790, 10879])).
% 5.45/4.13 tff(10887,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10888,plain,
% 5.45/4.13 ((~![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)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10889,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 5.45/4.13 tff(10890,plain,
% 5.45/4.13 (~m_main_v_state2(s132, c_t2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10889, 173, 10855])).
% 5.45/4.13 tff(10891,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10892,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10893,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10892, 10891])).
% 5.45/4.13 tff(10894,plain,
% 5.45/4.13 (~node12(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10893, 778, 10890])).
% 5.45/4.13 tff(10895,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10896,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10897,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 5.45/4.13 tff(10898,plain,
% 5.45/4.13 (~node11(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10897, 361, 10794])).
% 5.45/4.13 tff(10899,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10900,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10901,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10900, 10899])).
% 5.45/4.13 tff(10902,plain,
% 5.45/4.13 (~node10(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10901, 793, 10827])).
% 5.45/4.13 tff(10903,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10904,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10905,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 5.45/4.13 tff(10906,plain,
% 5.45/4.13 (~node9(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10905, 804, 10794])).
% 5.45/4.13 tff(10907,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10908,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10909,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 5.45/4.13 tff(10910,plain,
% 5.45/4.13 (~node8(s132)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10909, 383, 10859])).
% 5.45/4.13 tff(10911,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10912,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10913,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 5.45/4.13 tff(10914,plain,
% 5.45/4.13 (node14(s132, s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10913, 130, 10870])).
% 5.45/4.13 tff(10915,plain,
% 5.45/4.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10916,plain,
% 5.45/4.13 (((~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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10917,plain,
% 5.45/4.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.45/4.13 inference(monotonicity,[status(thm)],[10916])).
% 5.45/4.13 tff(10918,plain,
% 5.45/4.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.45/4.13 inference(transitivity,[status(thm)],[10917, 10915])).
% 5.45/4.13 tff(10919,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10920,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 5.45/4.13 tff(10921,plain,
% 5.45/4.13 (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~m_main_v_state2(s132, c_c2))),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10920, 826, 10914])).
% 5.45/4.13 tff(10922,plain,
% 5.45/4.13 (m_main_v_state2(s133, c_n2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10921, 10910, 10855, 10906, 10902, 10898, 10894])).
% 5.45/4.13 tff(10923,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10924,plain,
% 5.45/4.13 ((~![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)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10925,plain,
% 5.45/4.13 ((~![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))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 5.45/4.13 tff(10926,plain,
% 5.45/4.13 (~m_main_v_state2(s133, c_t2)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10925, 10, 10922])).
% 5.45/4.13 tff(10927,plain,
% 5.45/4.13 (((~![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)))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10928,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10929,plain,
% 5.45/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133))),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 5.45/4.13 tff(10930,plain,
% 5.45/4.13 (~node15(s133)),
% 5.45/4.13 inference(unit_resolution,[status(thm)],[10929, 21, 10926])).
% 5.45/4.13 tff(10931,plain,
% 5.45/4.13 (succ(s133, s134) <=> succ(s133, s134)),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10932,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 5.45/4.13 tff(10933,plain,
% 5.45/4.13 (succ(s133, s134)),
% 5.45/4.13 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 5.45/4.13 tff(10934,plain,
% 5.45/4.13 (((~![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))),
% 5.45/4.13 inference(rewrite,[status(thm)],[])).
% 5.45/4.13 tff(10935,plain,
% 5.45/4.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 5.45/4.13 inference(quant_inst,[status(thm)],[])).
% 5.45/4.13 tff(10936,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 5.45/4.14 tff(10937,plain,
% 5.45/4.14 (trans(s133, s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10936, 10933, 57])).
% 5.45/4.14 tff(10938,plain,
% 5.45/4.14 (((~![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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10939,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10940,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 5.45/4.14 tff(10941,plain,
% 5.45/4.14 (node18(s133, s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10940, 71, 10937])).
% 5.45/4.14 tff(10942,plain,
% 5.45/4.14 (((~![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(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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10943,plain,
% 5.45/4.14 (((~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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10944,plain,
% 5.45/4.14 (((~![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(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)))),
% 5.45/4.14 inference(monotonicity,[status(thm)],[10943])).
% 5.45/4.14 tff(10945,plain,
% 5.45/4.14 (((~![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(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))),
% 5.45/4.14 inference(transitivity,[status(thm)],[10944, 10942])).
% 5.45/4.14 tff(10946,plain,
% 5.45/4.14 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10947,plain,
% 5.45/4.14 ((~![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(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)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 5.45/4.14 tff(10948,plain,
% 5.45/4.14 (node15(s133) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10947, 863, 10941])).
% 5.45/4.14 tff(10949,plain,
% 5.45/4.14 (m_main_v_turn(s134, c_1)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10948, 10930, 10922, 10886])).
% 5.45/4.14 tff(10950,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10951,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10952,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 5.45/4.14 tff(10953,plain,
% 5.45/4.14 (~m_main_v_turn(s134, c_2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10952, 322, 10949])).
% 5.45/4.14 tff(10954,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10955,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10956,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 5.45/4.14 tff(10957,plain,
% 5.45/4.14 (~node12(s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10956, 350, 10953])).
% 5.45/4.14 tff(10958,plain,
% 5.45/4.14 (((~![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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10959,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10960,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 5.45/4.14 tff(10961,plain,
% 5.45/4.14 (node14(s133, s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10960, 130, 10937])).
% 5.45/4.14 tff(10962,plain,
% 5.45/4.14 (((~![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(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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10963,plain,
% 5.45/4.14 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10964,plain,
% 5.45/4.14 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 5.45/4.14 tff(10965,plain,
% 5.45/4.14 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state2(s134, c_t2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10964, 893, 10961])).
% 5.45/4.14 tff(10966,plain,
% 5.45/4.14 (m_main_v_state2(s134, c_t2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10965, 10886, 10922])).
% 5.45/4.14 tff(10967,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10968,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10969,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10968, 10967])).
% 5.45/4.14 tff(10970,plain,
% 5.45/4.14 (~m_main_v_state2(s134, c_n2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10969, 10, 10966])).
% 5.45/4.14 tff(10971,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10972,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10973,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 5.45/4.14 tff(10974,plain,
% 5.45/4.14 (~node8(s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10973, 383, 10970])).
% 5.45/4.14 tff(10975,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10976,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10977,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10976, 10975])).
% 5.45/4.14 tff(10978,plain,
% 5.45/4.14 (~node9(s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10977, 311, 10970])).
% 5.45/4.14 tff(10979,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10980,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10981,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 5.45/4.14 tff(10982,plain,
% 5.45/4.14 (~node10(s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10981, 372, 10970])).
% 5.45/4.14 tff(10983,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10984,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10985,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 5.45/4.14 tff(10986,plain,
% 5.45/4.14 (~m_main_v_state2(s134, c_c2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10985, 173, 10966])).
% 5.45/4.14 tff(10987,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10988,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10989,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 5.45/4.14 tff(10990,plain,
% 5.45/4.14 (~m_main_v_state2(s133, c_c2)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10989, 716, 10922])).
% 5.45/4.14 tff(10991,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10992,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(10993,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 5.45/4.14 tff(10994,plain,
% 5.45/4.14 (~node3(s133)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[10993, 184, 10990])).
% 5.45/4.14 tff(10995,plain,
% 5.45/4.14 (((~![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(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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10996,plain,
% 5.45/4.14 (((~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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(10997,plain,
% 5.45/4.14 (((~![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))))),
% 5.45/4.14 inference(monotonicity,[status(thm)],[10996])).
% 5.45/4.14 tff(10998,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(transitivity,[status(thm)],[10997, 10995])).
% 5.45/4.14 tff(10999,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11000,plain,
% 5.45/4.14 ((~![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(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[10999, 10998])).
% 5.45/4.14 tff(11001,plain,
% 5.45/4.14 (~m_main_v_state1(s133, c_n1)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11000, 936, 10794, 10879])).
% 5.45/4.14 tff(11002,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11003,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11004,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 5.45/4.14 tff(11005,plain,
% 5.45/4.14 (~node2(s133)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11004, 652, 11001])).
% 5.45/4.14 tff(11006,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11007,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11008,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 5.45/4.14 tff(11009,plain,
% 5.45/4.14 (~node1(s133)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11008, 206, 10926])).
% 5.45/4.14 tff(11010,plain,
% 5.45/4.14 (((~![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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11011,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11012,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 5.45/4.14 tff(11013,plain,
% 5.45/4.14 (node7(s133, s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11012, 217, 10937])).
% 5.45/4.14 tff(11014,plain,
% 5.45/4.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11015,plain,
% 5.45/4.14 (((~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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11016,plain,
% 5.45/4.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.45/4.14 inference(monotonicity,[status(thm)],[11015])).
% 5.45/4.14 tff(11017,plain,
% 5.45/4.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.14 inference(transitivity,[status(thm)],[11016, 11014])).
% 5.45/4.14 tff(11018,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11019,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 5.45/4.14 tff(11020,plain,
% 5.45/4.14 ((~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)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11019, 965, 11013])).
% 5.45/4.14 tff(11021,plain,
% 5.45/4.14 (m_main_v_state1(s134, c_c1)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11020, 11009, 10922, 10886, 11005, 10994])).
% 5.45/4.14 tff(11022,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11023,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11024,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 5.45/4.14 tff(11025,plain,
% 5.45/4.14 (~m_main_v_state1(s134, c_n1)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11024, 449, 11021])).
% 5.45/4.14 tff(11026,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11027,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11028,plain,
% 5.45/4.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11027, 11026])).
% 5.45/4.14 tff(11029,plain,
% 5.45/4.14 (~node11(s134)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11028, 361, 11025])).
% 5.45/4.14 tff(11030,plain,
% 5.45/4.14 (succ(s134, s135) <=> succ(s134, s135)),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11031,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 5.45/4.14 tff(11032,plain,
% 5.45/4.14 (succ(s134, s135)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11031, 11030])).
% 5.45/4.14 tff(11033,plain,
% 5.45/4.14 (((~![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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11034,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11035,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 5.45/4.14 tff(11036,plain,
% 5.45/4.14 (trans(s134, s135)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11035, 11032, 57])).
% 5.45/4.14 tff(11037,plain,
% 5.45/4.14 (((~![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))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11038,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11039,plain,
% 5.45/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135)),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 5.45/4.14 tff(11040,plain,
% 5.45/4.14 (node14(s134, s135)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11039, 130, 11036])).
% 5.45/4.14 tff(11041,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11042,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.14 inference(quant_inst,[status(thm)],[])).
% 5.45/4.14 tff(11043,plain,
% 5.45/4.14 ((~![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))),
% 5.45/4.14 inference(modus_ponens,[status(thm)],[11042, 11041])).
% 5.45/4.14 tff(11044,plain,
% 5.45/4.14 (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11043, 401, 11040])).
% 5.45/4.14 tff(11045,plain,
% 5.45/4.14 (node13(s134, s135)),
% 5.45/4.14 inference(unit_resolution,[status(thm)],[11044, 11029, 10986, 10982, 10978, 10974, 10957])).
% 5.45/4.14 tff(11046,plain,
% 5.45/4.14 (((~![V: $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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11047,plain,
% 5.45/4.14 (((~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)))),
% 5.45/4.14 inference(rewrite,[status(thm)],[])).
% 5.45/4.14 tff(11048,plain,
% 5.45/4.14 (((~![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))))),
% 5.45/4.14 inference(monotonicity,[status(thm)],[11047])).
% 5.45/4.14 tff(11049,plain,
% 5.45/4.14 (((~![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)))),
% 5.45/4.14 inference(transitivity,[status(thm)],[11048, 11046])).
% 5.45/4.14 tff(11050,plain,
% 5.45/4.14 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11051,plain,
% 5.45/4.15 ((~![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(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 5.45/4.15 tff(11052,plain,
% 5.45/4.15 (~m_main_v_state2(s135, c_n2)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11051, 416, 10970, 11045])).
% 5.45/4.15 tff(11053,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11054,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11055,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 5.45/4.15 tff(11056,plain,
% 5.45/4.15 (~node9(s135)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11055, 311, 11052])).
% 5.45/4.15 tff(11057,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11058,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11059,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 5.45/4.15 tff(11060,plain,
% 5.45/4.15 (~node10(s135)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11059, 372, 11052])).
% 5.45/4.15 tff(11061,plain,
% 5.45/4.15 (((~![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(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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11062,plain,
% 5.45/4.15 (((~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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11063,plain,
% 5.45/4.15 (((~![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))))),
% 5.45/4.15 inference(monotonicity,[status(thm)],[11062])).
% 5.45/4.15 tff(11064,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(transitivity,[status(thm)],[11063, 11061])).
% 5.45/4.15 tff(11065,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11066,plain,
% 5.45/4.15 ((~![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(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11065, 11064])).
% 5.45/4.15 tff(11067,plain,
% 5.45/4.15 (m_main_v_state2(s135, c_t2)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11066, 563, 10966, 11045])).
% 5.45/4.15 tff(11068,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11069,plain,
% 5.45/4.15 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11070,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11069, 11068])).
% 5.45/4.15 tff(11071,plain,
% 5.45/4.15 (~m_main_v_state1(s134, c_t1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11070, 289, 11021])).
% 5.45/4.15 tff(11072,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11073,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11074,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 5.45/4.15 tff(11075,plain,
% 5.45/4.15 (~node5(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11074, 300, 11071])).
% 5.45/4.15 tff(11076,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11077,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11078,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 5.45/4.15 tff(11079,plain,
% 5.45/4.15 (~node4(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11078, 162, 10970])).
% 5.45/4.15 tff(11080,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11081,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11082,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 5.45/4.15 tff(11083,plain,
% 5.45/4.15 (~node3(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11082, 184, 10986])).
% 5.45/4.15 tff(11084,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11085,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11086,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11085, 11084])).
% 5.45/4.15 tff(11087,plain,
% 5.45/4.15 (~node2(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11086, 195, 10970])).
% 5.45/4.15 tff(11088,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11089,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11090,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 5.45/4.15 tff(11091,plain,
% 5.45/4.15 (~node1(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11090, 249, 11025])).
% 5.45/4.15 tff(11092,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11093,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11094,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 5.45/4.15 tff(11095,plain,
% 5.45/4.15 (node7(s134, s135)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11094, 217, 11036])).
% 5.45/4.15 tff(11096,plain,
% 5.45/4.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11097,plain,
% 5.45/4.15 (((~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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11098,plain,
% 5.45/4.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.45/4.15 inference(monotonicity,[status(thm)],[11097])).
% 5.45/4.15 tff(11099,plain,
% 5.45/4.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.45/4.15 inference(transitivity,[status(thm)],[11098, 11096])).
% 5.45/4.15 tff(11100,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11101,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 5.45/4.15 tff(11102,plain,
% 5.45/4.15 (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11101, 478, 11095])).
% 5.45/4.15 tff(11103,plain,
% 5.45/4.15 (m_main_v_state1(s135, c_n1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11102, 11091, 11021, 11087, 11083, 11079, 11075])).
% 5.45/4.15 tff(11104,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11105,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11106,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 5.45/4.15 tff(11107,plain,
% 5.45/4.15 (~node8(s135)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11106, 383, 11052])).
% 5.45/4.15 tff(11108,plain,
% 5.45/4.15 (succ(s135, s136) <=> succ(s135, s136)),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11109,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 5.45/4.15 tff(11110,plain,
% 5.45/4.15 (succ(s135, s136)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 5.45/4.15 tff(11111,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11112,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11113,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 5.45/4.15 tff(11114,plain,
% 5.45/4.15 (trans(s135, s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11113, 11110, 57])).
% 5.45/4.15 tff(11115,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11116,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11117,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11116, 11115])).
% 5.45/4.15 tff(11118,plain,
% 5.45/4.15 (node14(s135, s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11117, 130, 11114])).
% 5.45/4.15 tff(11119,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11120,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11121,plain,
% 5.45/4.15 ((~![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)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11120, 11119])).
% 5.45/4.15 tff(11122,plain,
% 5.45/4.15 ((~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)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11121, 704, 11118])).
% 5.45/4.15 tff(11123,plain,
% 5.45/4.15 (m_main_v_state2(s136, c_c2)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11122, 11107, 11103, 11067, 11060, 11056])).
% 5.45/4.15 tff(11124,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11125,plain,
% 5.45/4.15 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11126,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 5.45/4.15 tff(11127,plain,
% 5.45/4.15 (~m_main_v_state2(s136, c_t2)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11126, 173, 11123])).
% 5.45/4.15 tff(11128,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11129,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11130,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 5.45/4.15 tff(11131,plain,
% 5.45/4.15 (~node12(s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11130, 778, 11127])).
% 5.45/4.15 tff(11132,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11133,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11134,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 5.45/4.15 tff(11135,plain,
% 5.45/4.15 (node7(s135, s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11134, 217, 11114])).
% 5.45/4.15 tff(11136,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11137,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11138,plain,
% 5.45/4.15 ((~![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)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 5.45/4.15 tff(11139,plain,
% 5.45/4.15 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_state1(s136, c_t1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11138, 598, 11135])).
% 5.45/4.15 tff(11140,plain,
% 5.45/4.15 (m_main_v_state1(s136, c_t1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11139, 11067, 11103])).
% 5.45/4.15 tff(11141,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11142,plain,
% 5.45/4.15 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11143,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11142, 11141])).
% 5.45/4.15 tff(11144,plain,
% 5.45/4.15 (~m_main_v_state1(s136, c_n1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11143, 35, 11140])).
% 5.45/4.15 tff(11145,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11146,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11147,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 5.45/4.15 tff(11148,plain,
% 5.45/4.15 (~node11(s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11147, 361, 11144])).
% 5.45/4.15 tff(11149,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11150,plain,
% 5.45/4.15 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11151,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 5.45/4.15 tff(11152,plain,
% 5.45/4.15 (~m_main_v_state1(s136, c_c1)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11151, 289, 11140])).
% 5.45/4.15 tff(11153,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11154,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11155,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11154, 11153])).
% 5.45/4.15 tff(11156,plain,
% 5.45/4.15 (~node10(s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11155, 793, 11152])).
% 5.45/4.15 tff(11157,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11158,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11159,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 5.45/4.15 tff(11160,plain,
% 5.45/4.15 (~node9(s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11159, 804, 11144])).
% 5.45/4.15 tff(11161,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11162,plain,
% 5.45/4.15 ((~![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)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11163,plain,
% 5.45/4.15 ((~![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))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 5.45/4.15 tff(11164,plain,
% 5.45/4.15 (~m_main_v_state2(s136, c_n2)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11163, 716, 11123])).
% 5.45/4.15 tff(11165,plain,
% 5.45/4.15 (((~![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)))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11166,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11167,plain,
% 5.45/4.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136))),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 5.45/4.15 tff(11168,plain,
% 5.45/4.15 (~node8(s136)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11167, 383, 11164])).
% 5.45/4.15 tff(11169,plain,
% 5.45/4.15 (succ(s136, s137) <=> succ(s136, s137)),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11170,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 5.45/4.15 tff(11171,plain,
% 5.45/4.15 (succ(s136, s137)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11170, 11169])).
% 5.45/4.15 tff(11172,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11173,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 5.45/4.15 inference(quant_inst,[status(thm)],[])).
% 5.45/4.15 tff(11174,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 5.45/4.15 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 5.45/4.15 tff(11175,plain,
% 5.45/4.15 (trans(s136, s137)),
% 5.45/4.15 inference(unit_resolution,[status(thm)],[11174, 11171, 57])).
% 5.45/4.15 tff(11176,plain,
% 5.45/4.15 (((~![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))),
% 5.45/4.15 inference(rewrite,[status(thm)],[])).
% 5.45/4.15 tff(11177,plain,
% 5.45/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11178,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 5.45/4.16 tff(11179,plain,
% 5.45/4.16 (node14(s136, s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11178, 130, 11175])).
% 5.45/4.16 tff(11180,plain,
% 5.45/4.16 (((~![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(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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11181,plain,
% 5.45/4.16 (((~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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11182,plain,
% 5.45/4.16 (((~![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(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))))),
% 5.45/4.16 inference(monotonicity,[status(thm)],[11181])).
% 5.45/4.16 tff(11183,plain,
% 5.45/4.16 (((~![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(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)))),
% 5.45/4.16 inference(transitivity,[status(thm)],[11182, 11180])).
% 5.45/4.16 tff(11184,plain,
% 5.45/4.16 ((~![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(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11185,plain,
% 5.45/4.16 ((~![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(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11184, 11183])).
% 5.45/4.16 tff(11186,plain,
% 5.45/4.16 (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~m_main_v_state2(s136, c_c2))),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11185, 826, 11179])).
% 5.45/4.16 tff(11187,plain,
% 5.45/4.16 (m_main_v_state2(s137, c_n2)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11186, 11168, 11123, 11160, 11156, 11148, 11131])).
% 5.45/4.16 tff(11188,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11189,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11190,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11189, 11188])).
% 5.45/4.16 tff(11191,plain,
% 5.45/4.16 (~m_main_v_state2(s137, c_c2)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11190, 716, 11187])).
% 5.45/4.16 tff(11192,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11193,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11194,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 5.45/4.16 tff(11195,plain,
% 5.45/4.16 (~node3(s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11194, 184, 11191])).
% 5.45/4.16 tff(11196,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11197,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11198,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 5.45/4.16 tff(11199,plain,
% 5.45/4.16 (~node1(s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11198, 249, 11144])).
% 5.45/4.16 tff(11200,plain,
% 5.45/4.16 (((~![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))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11201,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11202,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 5.45/4.16 tff(11203,plain,
% 5.45/4.16 (node18(s135, s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11202, 71, 11114])).
% 5.45/4.16 tff(11204,plain,
% 5.45/4.16 (((~![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(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))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11205,plain,
% 5.45/4.16 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11206,plain,
% 5.45/4.16 ((~![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(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 5.45/4.16 tff(11207,plain,
% 5.45/4.16 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_turn(s136, c_2)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11206, 625, 11203])).
% 5.45/4.16 tff(11208,plain,
% 5.45/4.16 (m_main_v_turn(s136, c_2)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11207, 11067, 11103])).
% 5.45/4.16 tff(11209,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11210,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11211,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 5.45/4.16 tff(11212,plain,
% 5.45/4.16 (~m_main_v_turn(s136, c_1)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11211, 322, 11208])).
% 5.45/4.16 tff(11213,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11214,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11215,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 5.45/4.16 tff(11216,plain,
% 5.45/4.16 (~node5(s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11215, 641, 11212])).
% 5.45/4.16 tff(11217,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11218,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11219,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 5.45/4.16 tff(11220,plain,
% 5.45/4.16 (~node2(s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11219, 652, 11144])).
% 5.45/4.16 tff(11221,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11222,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11223,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 5.45/4.16 tff(11224,plain,
% 5.45/4.16 (~node3(s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11223, 663, 11144])).
% 5.45/4.16 tff(11225,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11226,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11227,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 5.45/4.16 tff(11228,plain,
% 5.45/4.16 (~node4(s136)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11227, 162, 11164])).
% 5.45/4.16 tff(11229,plain,
% 5.45/4.16 (((~![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))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11230,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11231,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11230, 11229])).
% 5.45/4.16 tff(11232,plain,
% 5.45/4.16 (node7(s136, s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11231, 217, 11175])).
% 5.45/4.16 tff(11233,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11234,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11235,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 5.45/4.16 tff(11236,plain,
% 5.45/4.16 (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11235, 745, 11232])).
% 5.45/4.16 tff(11237,plain,
% 5.45/4.16 (node6(s136, s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11236, 11228, 11152, 11224, 11220, 11216, 11199])).
% 5.45/4.16 tff(11238,plain,
% 5.45/4.16 (((~![V: $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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11239,plain,
% 5.45/4.16 (((~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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11240,plain,
% 5.45/4.16 (((~![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))))),
% 5.45/4.16 inference(monotonicity,[status(thm)],[11239])).
% 5.45/4.16 tff(11241,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(transitivity,[status(thm)],[11240, 11238])).
% 5.45/4.16 tff(11242,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11243,plain,
% 5.45/4.16 ((~![V: $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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 5.45/4.16 tff(11244,plain,
% 5.45/4.16 (~m_main_v_state1(s137, c_n1)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11243, 936, 11144, 11237])).
% 5.45/4.16 tff(11245,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11246,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11247,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11246, 11245])).
% 5.45/4.16 tff(11248,plain,
% 5.45/4.16 (~node2(s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11247, 652, 11244])).
% 5.45/4.16 tff(11249,plain,
% 5.45/4.16 (((~![V: $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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11250,plain,
% 5.45/4.16 (((~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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11251,plain,
% 5.45/4.16 (((~![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))))),
% 5.45/4.16 inference(monotonicity,[status(thm)],[11250])).
% 5.45/4.16 tff(11252,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(transitivity,[status(thm)],[11251, 11249])).
% 5.45/4.16 tff(11253,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11254,plain,
% 5.45/4.16 ((~![V: $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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 5.45/4.16 tff(11255,plain,
% 5.45/4.16 (m_main_v_state1(s137, c_t1)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11254, 760, 11140, 11237])).
% 5.45/4.16 tff(11256,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11257,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11258,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 5.45/4.16 tff(11259,plain,
% 5.45/4.16 (~m_main_v_state2(s137, c_t2)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11258, 10, 11187])).
% 5.45/4.16 tff(11260,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11261,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11262,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 5.45/4.16 tff(11263,plain,
% 5.45/4.16 (~node1(s137)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11262, 206, 11259])).
% 5.45/4.16 tff(11264,plain,
% 5.45/4.16 (succ(s137, s138) <=> succ(s137, s138)),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11265,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 5.45/4.16 tff(11266,plain,
% 5.45/4.16 (succ(s137, s138)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 5.45/4.16 tff(11267,plain,
% 5.45/4.16 (((~![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))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11268,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11269,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 5.45/4.16 tff(11270,plain,
% 5.45/4.16 (trans(s137, s138)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11269, 11266, 57])).
% 5.45/4.16 tff(11271,plain,
% 5.45/4.16 (((~![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))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11272,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11273,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138)),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 5.45/4.16 tff(11274,plain,
% 5.45/4.16 (node7(s137, s138)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11273, 217, 11270])).
% 5.45/4.16 tff(11275,plain,
% 5.45/4.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11276,plain,
% 5.45/4.16 (((~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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11277,plain,
% 5.45/4.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.45/4.16 inference(monotonicity,[status(thm)],[11276])).
% 5.45/4.16 tff(11278,plain,
% 5.45/4.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.45/4.16 inference(transitivity,[status(thm)],[11277, 11275])).
% 5.45/4.16 tff(11279,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11280,plain,
% 5.45/4.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 5.45/4.16 tff(11281,plain,
% 5.45/4.16 ((~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)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11280, 965, 11274])).
% 5.45/4.16 tff(11282,plain,
% 5.45/4.16 (m_main_v_state1(s138, c_c1)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11281, 11263, 11187, 11255, 11248, 11195])).
% 5.45/4.16 tff(11283,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11284,plain,
% 5.45/4.16 ((~![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)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11285,plain,
% 5.45/4.16 ((~![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))),
% 5.45/4.16 inference(modus_ponens,[status(thm)],[11284, 11283])).
% 5.45/4.16 tff(11286,plain,
% 5.45/4.16 (~m_main_v_state1(s138, c_t1)),
% 5.45/4.16 inference(unit_resolution,[status(thm)],[11285, 289, 11282])).
% 5.45/4.16 tff(11287,plain,
% 5.45/4.16 (((~![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)))),
% 5.45/4.16 inference(rewrite,[status(thm)],[])).
% 5.45/4.16 tff(11288,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 5.45/4.16 inference(quant_inst,[status(thm)],[])).
% 5.45/4.16 tff(11289,plain,
% 5.45/4.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11288, 11287])).
% 5.45/4.17 tff(11290,plain,
% 5.45/4.17 (~node5(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11289, 300, 11286])).
% 5.45/4.17 tff(11291,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11292,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11293,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 5.45/4.17 tff(11294,plain,
% 5.45/4.17 (node14(s137, s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11293, 130, 11270])).
% 5.45/4.17 tff(11295,plain,
% 5.45/4.17 (((~![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(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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11296,plain,
% 5.45/4.17 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11297,plain,
% 5.45/4.17 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 5.45/4.17 tff(11298,plain,
% 5.45/4.17 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state2(s138, c_t2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11297, 893, 11294])).
% 5.45/4.17 tff(11299,plain,
% 5.45/4.17 (m_main_v_state2(s138, c_t2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11298, 11255, 11187])).
% 5.45/4.17 tff(11300,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11301,plain,
% 5.45/4.17 ((~![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)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11302,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11301, 11300])).
% 5.45/4.17 tff(11303,plain,
% 5.45/4.17 (~m_main_v_state2(s138, c_n2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11302, 10, 11299])).
% 5.45/4.17 tff(11304,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11305,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11306,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 5.45/4.17 tff(11307,plain,
% 5.45/4.17 (~node4(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11306, 162, 11303])).
% 5.45/4.17 tff(11308,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11309,plain,
% 5.45/4.17 ((~![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)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11310,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 5.45/4.17 tff(11311,plain,
% 5.45/4.17 (~m_main_v_state2(s138, c_c2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11310, 173, 11299])).
% 5.45/4.17 tff(11312,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11313,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11314,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 5.45/4.17 tff(11315,plain,
% 5.45/4.17 (~node3(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11314, 184, 11311])).
% 5.45/4.17 tff(11316,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11317,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11318,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 5.45/4.17 tff(11319,plain,
% 5.45/4.17 (~node2(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11318, 195, 11303])).
% 5.45/4.17 tff(11320,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11321,plain,
% 5.45/4.17 ((~![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)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11322,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 5.45/4.17 tff(11323,plain,
% 5.45/4.17 (~m_main_v_state1(s138, c_n1)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11322, 449, 11282])).
% 5.45/4.17 tff(11324,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11325,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11326,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 5.45/4.17 tff(11327,plain,
% 5.45/4.17 (~node1(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11326, 249, 11323])).
% 5.45/4.17 tff(11328,plain,
% 5.45/4.17 (succ(s138, s139) <=> succ(s138, s139)),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11329,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 5.45/4.17 tff(11330,plain,
% 5.45/4.17 (succ(s138, s139)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 5.45/4.17 tff(11331,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11332,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11333,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 5.45/4.17 tff(11334,plain,
% 5.45/4.17 (trans(s138, s139)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11333, 11330, 57])).
% 5.45/4.17 tff(11335,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11336,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11337,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 5.45/4.17 tff(11338,plain,
% 5.45/4.17 (node7(s138, s139)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11337, 217, 11334])).
% 5.45/4.17 tff(11339,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11340,plain,
% 5.45/4.17 (((~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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11341,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.45/4.17 inference(monotonicity,[status(thm)],[11340])).
% 5.45/4.17 tff(11342,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.45/4.17 inference(transitivity,[status(thm)],[11341, 11339])).
% 5.45/4.17 tff(11343,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11344,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 5.45/4.17 tff(11345,plain,
% 5.45/4.17 (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11344, 478, 11338])).
% 5.45/4.17 tff(11346,plain,
% 5.45/4.17 (m_main_v_state1(s139, c_n1)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11345, 11327, 11282, 11319, 11315, 11307, 11290])).
% 5.45/4.17 tff(11347,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11348,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11349,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 5.45/4.17 tff(11350,plain,
% 5.45/4.17 (~node15(s137)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11349, 21, 11259])).
% 5.45/4.17 tff(11351,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11352,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11353,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 5.45/4.17 tff(11354,plain,
% 5.45/4.17 (node18(s137, s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11353, 71, 11270])).
% 5.45/4.17 tff(11355,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11356,plain,
% 5.45/4.17 (((~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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11357,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.45/4.17 inference(monotonicity,[status(thm)],[11356])).
% 5.45/4.17 tff(11358,plain,
% 5.45/4.17 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.17 inference(transitivity,[status(thm)],[11357, 11355])).
% 5.45/4.17 tff(11359,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11360,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 5.45/4.17 tff(11361,plain,
% 5.45/4.17 (node15(s137) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11360, 863, 11354])).
% 5.45/4.17 tff(11362,plain,
% 5.45/4.17 (m_main_v_turn(s138, c_1)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11361, 11350, 11187, 11255])).
% 5.45/4.17 tff(11363,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11364,plain,
% 5.45/4.17 ((~![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)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11365,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11364, 11363])).
% 5.45/4.17 tff(11366,plain,
% 5.45/4.17 (~m_main_v_turn(s138, c_2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11365, 322, 11362])).
% 5.45/4.17 tff(11367,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11368,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11369,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 5.45/4.17 tff(11370,plain,
% 5.45/4.17 (~node12(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11369, 350, 11366])).
% 5.45/4.17 tff(11371,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11372,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11373,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 5.45/4.17 tff(11374,plain,
% 5.45/4.17 (~node8(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11373, 383, 11303])).
% 5.45/4.17 tff(11375,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11376,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11377,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 5.45/4.17 tff(11378,plain,
% 5.45/4.17 (~node9(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11377, 311, 11303])).
% 5.45/4.17 tff(11379,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11380,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11381,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 5.45/4.17 tff(11382,plain,
% 5.45/4.17 (~node10(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11381, 372, 11303])).
% 5.45/4.17 tff(11383,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11384,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11385,plain,
% 5.45/4.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 5.45/4.17 tff(11386,plain,
% 5.45/4.17 (~node11(s138)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11385, 361, 11323])).
% 5.45/4.17 tff(11387,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11388,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11389,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11388, 11387])).
% 5.45/4.17 tff(11390,plain,
% 5.45/4.17 (node14(s138, s139)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11389, 130, 11334])).
% 5.45/4.17 tff(11391,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11392,plain,
% 5.45/4.17 ((~![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)))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11393,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 5.45/4.17 tff(11394,plain,
% 5.45/4.17 (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11393, 401, 11390])).
% 5.45/4.17 tff(11395,plain,
% 5.45/4.17 (node13(s138, s139)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11394, 11386, 11311, 11382, 11378, 11374, 11370])).
% 5.45/4.17 tff(11396,plain,
% 5.45/4.17 (((~![V: $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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11397,plain,
% 5.45/4.17 (((~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)))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11398,plain,
% 5.45/4.17 (((~![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))))),
% 5.45/4.17 inference(monotonicity,[status(thm)],[11397])).
% 5.45/4.17 tff(11399,plain,
% 5.45/4.17 (((~![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)))),
% 5.45/4.17 inference(transitivity,[status(thm)],[11398, 11396])).
% 5.45/4.17 tff(11400,plain,
% 5.45/4.17 ((~![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))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11401,plain,
% 5.45/4.17 ((~![V: $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))),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 5.45/4.17 tff(11402,plain,
% 5.45/4.17 (m_main_v_state2(s139, c_t2)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11401, 563, 11299, 11395])).
% 5.45/4.17 tff(11403,plain,
% 5.45/4.17 (succ(s139, s140) <=> succ(s139, s140)),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11404,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 5.45/4.17 tff(11405,plain,
% 5.45/4.17 (succ(s139, s140)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 5.45/4.17 tff(11406,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.17 inference(rewrite,[status(thm)],[])).
% 5.45/4.17 tff(11407,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 5.45/4.17 inference(quant_inst,[status(thm)],[])).
% 5.45/4.17 tff(11408,plain,
% 5.45/4.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 5.45/4.17 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 5.45/4.17 tff(11409,plain,
% 5.45/4.17 (trans(s139, s140)),
% 5.45/4.17 inference(unit_resolution,[status(thm)],[11408, 11405, 57])).
% 5.45/4.17 tff(11410,plain,
% 5.45/4.17 (((~![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))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11411,plain,
% 5.45/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11412,plain,
% 5.45/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140)),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11411, 11410])).
% 5.45/4.18 tff(11413,plain,
% 5.45/4.18 (node7(s139, s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11412, 217, 11409])).
% 5.45/4.18 tff(11414,plain,
% 5.45/4.18 (((~![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(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))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11415,plain,
% 5.45/4.18 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11416,plain,
% 5.45/4.18 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1)),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 5.45/4.18 tff(11417,plain,
% 5.45/4.18 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_state1(s140, c_t1)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11416, 598, 11413])).
% 5.45/4.18 tff(11418,plain,
% 5.45/4.18 (m_main_v_state1(s140, c_t1)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11417, 11402, 11346])).
% 5.45/4.18 tff(11419,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11420,plain,
% 5.45/4.18 ((~![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)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11421,plain,
% 5.45/4.18 ((~![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))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11420, 11419])).
% 5.45/4.18 tff(11422,plain,
% 5.45/4.18 (~m_main_v_state1(s140, c_n1)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11421, 35, 11418])).
% 5.45/4.18 tff(11423,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11424,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11425,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 5.45/4.18 tff(11426,plain,
% 5.45/4.18 (~node1(s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11425, 249, 11422])).
% 5.45/4.18 tff(11427,plain,
% 5.45/4.18 (((~![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))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11428,plain,
% 5.45/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11429,plain,
% 5.45/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140)),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 5.45/4.18 tff(11430,plain,
% 5.45/4.18 (node18(s139, s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11429, 71, 11409])).
% 5.45/4.18 tff(11431,plain,
% 5.45/4.18 (((~![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(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))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11432,plain,
% 5.45/4.18 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11433,plain,
% 5.45/4.18 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2)),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 5.45/4.18 tff(11434,plain,
% 5.45/4.18 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_turn(s140, c_2)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11433, 625, 11430])).
% 5.45/4.18 tff(11435,plain,
% 5.45/4.18 (m_main_v_turn(s140, c_2)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11434, 11402, 11346])).
% 5.45/4.18 tff(11436,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11437,plain,
% 5.45/4.18 ((~![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)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11438,plain,
% 5.45/4.18 ((~![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))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11437, 11436])).
% 5.45/4.18 tff(11439,plain,
% 5.45/4.18 (~m_main_v_turn(s140, c_1)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11438, 322, 11435])).
% 5.45/4.18 tff(11440,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11441,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11442,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 5.45/4.18 tff(11443,plain,
% 5.45/4.18 (~node5(s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11442, 641, 11439])).
% 5.45/4.18 tff(11444,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11445,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11446,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 5.45/4.18 tff(11447,plain,
% 5.45/4.18 (~node2(s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11446, 652, 11422])).
% 5.45/4.18 tff(11448,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11449,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11450,plain,
% 5.45/4.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 5.45/4.18 tff(11451,plain,
% 5.45/4.18 (~node3(s140)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11450, 663, 11422])).
% 5.45/4.18 tff(11452,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11453,plain,
% 5.45/4.18 ((~![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)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11454,plain,
% 5.45/4.18 ((~![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))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11453, 11452])).
% 5.45/4.18 tff(11455,plain,
% 5.45/4.18 (~m_main_v_state1(s140, c_c1)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11454, 289, 11418])).
% 5.45/4.18 tff(11456,plain,
% 5.45/4.18 (((~![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(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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11457,plain,
% 5.45/4.18 (((~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)))),
% 5.45/4.18 inference(rewrite,[status(thm)],[])).
% 5.45/4.18 tff(11458,plain,
% 5.45/4.18 (((~![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))))),
% 5.45/4.18 inference(monotonicity,[status(thm)],[11457])).
% 5.45/4.18 tff(11459,plain,
% 5.45/4.18 (((~![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)))),
% 5.45/4.18 inference(transitivity,[status(thm)],[11458, 11456])).
% 5.45/4.18 tff(11460,plain,
% 5.45/4.18 ((~![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)))),
% 5.45/4.18 inference(quant_inst,[status(thm)],[])).
% 5.45/4.18 tff(11461,plain,
% 5.45/4.18 ((~![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(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))),
% 5.45/4.18 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 5.45/4.18 tff(11462,plain,
% 5.45/4.18 (~m_main_v_state2(s139, c_n2)),
% 5.45/4.18 inference(unit_resolution,[status(thm)],[11461, 416, 11303, 11395])).
% 5.45/4.18 tff(11463,plain,
% 5.45/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11464,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11465,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 5.55/4.18 tff(11466,plain,
% 5.55/4.18 (~node9(s139)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11465, 311, 11462])).
% 5.55/4.18 tff(11467,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11468,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11469,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 5.55/4.18 tff(11470,plain,
% 5.55/4.18 (~node10(s139)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11469, 372, 11462])).
% 5.55/4.18 tff(11471,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11472,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11473,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 5.55/4.18 tff(11474,plain,
% 5.55/4.18 (~node8(s139)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11473, 383, 11462])).
% 5.55/4.18 tff(11475,plain,
% 5.55/4.18 (((~![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))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11476,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11477,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140)),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 5.55/4.18 tff(11478,plain,
% 5.55/4.18 (node14(s139, s140)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11477, 130, 11409])).
% 5.55/4.18 tff(11479,plain,
% 5.55/4.18 (((~![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))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11480,plain,
% 5.55/4.18 ((~![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))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11481,plain,
% 5.55/4.18 ((~![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)),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 5.55/4.18 tff(11482,plain,
% 5.55/4.18 ((~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)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11481, 704, 11478])).
% 5.55/4.18 tff(11483,plain,
% 5.55/4.18 (m_main_v_state2(s140, c_c2)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11482, 11474, 11346, 11402, 11470, 11466])).
% 5.55/4.18 tff(11484,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11485,plain,
% 5.55/4.18 ((~![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)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11486,plain,
% 5.55/4.18 ((~![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))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 5.55/4.18 tff(11487,plain,
% 5.55/4.18 (~m_main_v_state2(s140, c_n2)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11486, 716, 11483])).
% 5.55/4.18 tff(11488,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11489,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11490,plain,
% 5.55/4.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 5.55/4.18 tff(11491,plain,
% 5.55/4.18 (~node4(s140)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11490, 162, 11487])).
% 5.55/4.18 tff(11492,plain,
% 5.55/4.18 (succ(s140, s141) <=> succ(s140, s141)),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11493,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 5.55/4.18 tff(11494,plain,
% 5.55/4.18 (succ(s140, s141)),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 5.55/4.18 tff(11495,plain,
% 5.55/4.18 (((~![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))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11496,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11497,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 5.55/4.18 tff(11498,plain,
% 5.55/4.18 (trans(s140, s141)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11497, 11494, 57])).
% 5.55/4.18 tff(11499,plain,
% 5.55/4.18 (((~![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))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11500,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11501,plain,
% 5.55/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141)),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 5.55/4.18 tff(11502,plain,
% 5.55/4.18 (node7(s140, s141)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11501, 217, 11498])).
% 5.55/4.18 tff(11503,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11504,plain,
% 5.55/4.18 ((~![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)))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11505,plain,
% 5.55/4.18 ((~![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))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 5.55/4.18 tff(11506,plain,
% 5.55/4.18 (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11505, 745, 11502])).
% 5.55/4.18 tff(11507,plain,
% 5.55/4.18 (node6(s140, s141)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11506, 11491, 11455, 11451, 11447, 11443, 11426])).
% 5.55/4.18 tff(11508,plain,
% 5.55/4.18 (((~![V: $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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11509,plain,
% 5.55/4.18 (((~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)))),
% 5.55/4.18 inference(rewrite,[status(thm)],[])).
% 5.55/4.18 tff(11510,plain,
% 5.55/4.18 (((~![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))))),
% 5.55/4.18 inference(monotonicity,[status(thm)],[11509])).
% 5.55/4.18 tff(11511,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.18 inference(transitivity,[status(thm)],[11510, 11508])).
% 5.55/4.18 tff(11512,plain,
% 5.55/4.18 ((~![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))),
% 5.55/4.18 inference(quant_inst,[status(thm)],[])).
% 5.55/4.18 tff(11513,plain,
% 5.55/4.18 ((~![V: $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))),
% 5.55/4.18 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 5.55/4.18 tff(11514,plain,
% 5.55/4.18 (m_main_v_state1(s141, c_t1)),
% 5.55/4.18 inference(unit_resolution,[status(thm)],[11513, 760, 11418, 11507])).
% 5.55/4.18 tff(11515,plain,
% 5.55/4.18 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11516,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11517,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 5.55/4.19 tff(11518,plain,
% 5.55/4.19 (~m_main_v_state2(s140, c_t2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11517, 173, 11483])).
% 5.55/4.19 tff(11519,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11520,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11521,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11520, 11519])).
% 5.55/4.19 tff(11522,plain,
% 5.55/4.19 (~node12(s140)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11521, 778, 11518])).
% 5.55/4.19 tff(11523,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11524,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11525,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 5.55/4.19 tff(11526,plain,
% 5.55/4.19 (~node11(s140)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11525, 361, 11422])).
% 5.55/4.19 tff(11527,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11528,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11529,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 5.55/4.19 tff(11530,plain,
% 5.55/4.19 (~node10(s140)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11529, 793, 11455])).
% 5.55/4.19 tff(11531,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11532,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11533,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 5.55/4.19 tff(11534,plain,
% 5.55/4.19 (~node9(s140)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11533, 804, 11422])).
% 5.55/4.19 tff(11535,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11536,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11537,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 5.55/4.19 tff(11538,plain,
% 5.55/4.19 (~node8(s140)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11537, 383, 11487])).
% 5.55/4.19 tff(11539,plain,
% 5.55/4.19 (((~![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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11540,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11541,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 5.55/4.19 tff(11542,plain,
% 5.55/4.19 (node14(s140, s141)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11541, 130, 11498])).
% 5.55/4.19 tff(11543,plain,
% 5.55/4.19 (((~![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(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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11544,plain,
% 5.55/4.19 (((~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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11545,plain,
% 5.55/4.19 (((~![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(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))))),
% 5.55/4.19 inference(monotonicity,[status(thm)],[11544])).
% 5.55/4.19 tff(11546,plain,
% 5.55/4.19 (((~![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(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)))),
% 5.55/4.19 inference(transitivity,[status(thm)],[11545, 11543])).
% 5.55/4.19 tff(11547,plain,
% 5.55/4.19 ((~![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(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11548,plain,
% 5.55/4.19 ((~![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(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 5.55/4.19 tff(11549,plain,
% 5.55/4.19 (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~m_main_v_state2(s140, c_c2))),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11548, 826, 11542])).
% 5.55/4.19 tff(11550,plain,
% 5.55/4.19 (m_main_v_state2(s141, c_n2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11549, 11538, 11483, 11534, 11530, 11526, 11522])).
% 5.55/4.19 tff(11551,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11552,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11553,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 5.55/4.19 tff(11554,plain,
% 5.55/4.19 (~m_main_v_state2(s141, c_t2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11553, 10, 11550])).
% 5.55/4.19 tff(11555,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11556,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11557,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 5.55/4.19 tff(11558,plain,
% 5.55/4.19 (~node15(s141)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11557, 21, 11554])).
% 5.55/4.19 tff(11559,plain,
% 5.55/4.19 (succ(s141, s142) <=> succ(s141, s142)),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11560,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 5.55/4.19 tff(11561,plain,
% 5.55/4.19 (succ(s141, s142)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 5.55/4.19 tff(11562,plain,
% 5.55/4.19 (((~![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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11563,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11564,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11563, 11562])).
% 5.55/4.19 tff(11565,plain,
% 5.55/4.19 (trans(s141, s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11564, 11561, 57])).
% 5.55/4.19 tff(11566,plain,
% 5.55/4.19 (((~![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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11567,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11568,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 5.55/4.19 tff(11569,plain,
% 5.55/4.19 (node18(s141, s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11568, 71, 11565])).
% 5.55/4.19 tff(11570,plain,
% 5.55/4.19 (((~![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(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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11571,plain,
% 5.55/4.19 (((~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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11572,plain,
% 5.55/4.19 (((~![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(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)))),
% 5.55/4.19 inference(monotonicity,[status(thm)],[11571])).
% 5.55/4.19 tff(11573,plain,
% 5.55/4.19 (((~![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(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))),
% 5.55/4.19 inference(transitivity,[status(thm)],[11572, 11570])).
% 5.55/4.19 tff(11574,plain,
% 5.55/4.19 ((~![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(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11575,plain,
% 5.55/4.19 ((~![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(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)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11574, 11573])).
% 5.55/4.19 tff(11576,plain,
% 5.55/4.19 (node15(s141) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11575, 863, 11569])).
% 5.55/4.19 tff(11577,plain,
% 5.55/4.19 (m_main_v_turn(s142, c_1)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11576, 11558, 11550, 11514])).
% 5.55/4.19 tff(11578,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11579,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11580,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 5.55/4.19 tff(11581,plain,
% 5.55/4.19 (~m_main_v_turn(s142, c_2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11580, 322, 11577])).
% 5.55/4.19 tff(11582,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11583,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11584,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 5.55/4.19 tff(11585,plain,
% 5.55/4.19 (~node12(s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11584, 350, 11581])).
% 5.55/4.19 tff(11586,plain,
% 5.55/4.19 (((~![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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11587,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11588,plain,
% 5.55/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 5.55/4.19 tff(11589,plain,
% 5.55/4.19 (node14(s141, s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11588, 130, 11565])).
% 5.55/4.19 tff(11590,plain,
% 5.55/4.19 (((~![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))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11591,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11592,plain,
% 5.55/4.19 ((~![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)),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 5.55/4.19 tff(11593,plain,
% 5.55/4.19 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state2(s142, c_t2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11592, 893, 11589])).
% 5.55/4.19 tff(11594,plain,
% 5.55/4.19 (m_main_v_state2(s142, c_t2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11593, 11514, 11550])).
% 5.55/4.19 tff(11595,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11596,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11597,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 5.55/4.19 tff(11598,plain,
% 5.55/4.19 (~m_main_v_state2(s142, c_n2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11597, 10, 11594])).
% 5.55/4.19 tff(11599,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11600,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11601,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 5.55/4.19 tff(11602,plain,
% 5.55/4.19 (~node8(s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11601, 383, 11598])).
% 5.55/4.19 tff(11603,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11604,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11605,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 5.55/4.19 tff(11606,plain,
% 5.55/4.19 (~node9(s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11605, 311, 11598])).
% 5.55/4.19 tff(11607,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11608,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11609,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 5.55/4.19 tff(11610,plain,
% 5.55/4.19 (~node10(s142)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11609, 372, 11598])).
% 5.55/4.19 tff(11611,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11612,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11613,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 5.55/4.19 tff(11614,plain,
% 5.55/4.19 (~m_main_v_state2(s142, c_c2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11613, 173, 11594])).
% 5.55/4.19 tff(11615,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11616,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11617,plain,
% 5.55/4.19 ((~![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))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 5.55/4.19 tff(11618,plain,
% 5.55/4.19 (~m_main_v_state2(s141, c_c2)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11617, 716, 11550])).
% 5.55/4.19 tff(11619,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11620,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11621,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 5.55/4.19 tff(11622,plain,
% 5.55/4.19 (~node3(s141)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11621, 184, 11618])).
% 5.55/4.19 tff(11623,plain,
% 5.55/4.19 (((~![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(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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11624,plain,
% 5.55/4.19 (((~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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11625,plain,
% 5.55/4.19 (((~![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))))),
% 5.55/4.19 inference(monotonicity,[status(thm)],[11624])).
% 5.55/4.19 tff(11626,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(transitivity,[status(thm)],[11625, 11623])).
% 5.55/4.19 tff(11627,plain,
% 5.55/4.19 ((~![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)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11628,plain,
% 5.55/4.19 ((~![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(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 5.55/4.19 tff(11629,plain,
% 5.55/4.19 (~m_main_v_state1(s141, c_n1)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11628, 936, 11422, 11507])).
% 5.55/4.19 tff(11630,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11631,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11632,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 5.55/4.19 tff(11633,plain,
% 5.55/4.19 (~node2(s141)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11632, 652, 11629])).
% 5.55/4.19 tff(11634,plain,
% 5.55/4.19 (((~![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)))),
% 5.55/4.19 inference(rewrite,[status(thm)],[])).
% 5.55/4.19 tff(11635,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 5.55/4.19 inference(quant_inst,[status(thm)],[])).
% 5.55/4.19 tff(11636,plain,
% 5.55/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141))),
% 5.55/4.19 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 5.55/4.19 tff(11637,plain,
% 5.55/4.19 (~node1(s141)),
% 5.55/4.19 inference(unit_resolution,[status(thm)],[11636, 206, 11554])).
% 5.55/4.19 tff(11638,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11639,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11640,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 5.56/4.20 tff(11641,plain,
% 5.56/4.20 (node7(s141, s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11640, 217, 11565])).
% 5.56/4.20 tff(11642,plain,
% 5.56/4.20 (((~![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(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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11643,plain,
% 5.56/4.20 (((~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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11644,plain,
% 5.56/4.20 (((~![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(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))))),
% 5.56/4.20 inference(monotonicity,[status(thm)],[11643])).
% 5.56/4.20 tff(11645,plain,
% 5.56/4.20 (((~![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(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)))),
% 5.56/4.20 inference(transitivity,[status(thm)],[11644, 11642])).
% 5.56/4.20 tff(11646,plain,
% 5.56/4.20 ((~![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(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))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11647,plain,
% 5.56/4.20 ((~![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(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))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11646, 11645])).
% 5.56/4.20 tff(11648,plain,
% 5.56/4.20 ((~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)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11647, 965, 11641])).
% 5.56/4.20 tff(11649,plain,
% 5.56/4.20 (m_main_v_state1(s142, c_c1)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11648, 11637, 11550, 11514, 11633, 11622])).
% 5.56/4.20 tff(11650,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11651,plain,
% 5.56/4.20 ((~![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)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11652,plain,
% 5.56/4.20 ((~![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))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 5.56/4.20 tff(11653,plain,
% 5.56/4.20 (~m_main_v_state1(s142, c_n1)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11652, 449, 11649])).
% 5.56/4.20 tff(11654,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11655,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11656,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11655, 11654])).
% 5.56/4.20 tff(11657,plain,
% 5.56/4.20 (~node11(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11656, 361, 11653])).
% 5.56/4.20 tff(11658,plain,
% 5.56/4.20 (succ(s142, s143) <=> succ(s142, s143)),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11659,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 5.56/4.20 tff(11660,plain,
% 5.56/4.20 (succ(s142, s143)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 5.56/4.20 tff(11661,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11662,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11663,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11662, 11661])).
% 5.56/4.20 tff(11664,plain,
% 5.56/4.20 (trans(s142, s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11663, 11660, 57])).
% 5.56/4.20 tff(11665,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11666,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11667,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 5.56/4.20 tff(11668,plain,
% 5.56/4.20 (node14(s142, s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11667, 130, 11664])).
% 5.56/4.20 tff(11669,plain,
% 5.56/4.20 (((~![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(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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11670,plain,
% 5.56/4.20 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11671,plain,
% 5.56/4.20 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 5.56/4.20 tff(11672,plain,
% 5.56/4.20 (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11671, 401, 11668])).
% 5.56/4.20 tff(11673,plain,
% 5.56/4.20 (node13(s142, s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11672, 11657, 11614, 11610, 11606, 11602, 11585])).
% 5.56/4.20 tff(11674,plain,
% 5.56/4.20 (((~![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(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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11675,plain,
% 5.56/4.20 (((~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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11676,plain,
% 5.56/4.20 (((~![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))))),
% 5.56/4.20 inference(monotonicity,[status(thm)],[11675])).
% 5.56/4.20 tff(11677,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(transitivity,[status(thm)],[11676, 11674])).
% 5.56/4.20 tff(11678,plain,
% 5.56/4.20 ((~![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)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11679,plain,
% 5.56/4.20 ((~![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(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 5.56/4.20 tff(11680,plain,
% 5.56/4.20 (~m_main_v_state2(s143, c_n2)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11679, 416, 11598, 11673])).
% 5.56/4.20 tff(11681,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11682,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11683,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 5.56/4.20 tff(11684,plain,
% 5.56/4.20 (~node9(s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11683, 311, 11680])).
% 5.56/4.20 tff(11685,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11686,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11687,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 5.56/4.20 tff(11688,plain,
% 5.56/4.20 (~node10(s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11687, 372, 11680])).
% 5.56/4.20 tff(11689,plain,
% 5.56/4.20 (((~![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(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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11690,plain,
% 5.56/4.20 (((~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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11691,plain,
% 5.56/4.20 (((~![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))))),
% 5.56/4.20 inference(monotonicity,[status(thm)],[11690])).
% 5.56/4.20 tff(11692,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(transitivity,[status(thm)],[11691, 11689])).
% 5.56/4.20 tff(11693,plain,
% 5.56/4.20 ((~![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))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11694,plain,
% 5.56/4.20 ((~![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(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 5.56/4.20 tff(11695,plain,
% 5.56/4.20 (m_main_v_state2(s143, c_t2)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11694, 563, 11594, 11673])).
% 5.56/4.20 tff(11696,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11697,plain,
% 5.56/4.20 ((~![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)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11698,plain,
% 5.56/4.20 ((~![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))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 5.56/4.20 tff(11699,plain,
% 5.56/4.20 (~m_main_v_state1(s142, c_t1)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11698, 289, 11649])).
% 5.56/4.20 tff(11700,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11701,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11702,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 5.56/4.20 tff(11703,plain,
% 5.56/4.20 (~node5(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11702, 300, 11699])).
% 5.56/4.20 tff(11704,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11705,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11706,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 5.56/4.20 tff(11707,plain,
% 5.56/4.20 (~node4(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11706, 162, 11598])).
% 5.56/4.20 tff(11708,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11709,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11710,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 5.56/4.20 tff(11711,plain,
% 5.56/4.20 (~node3(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11710, 184, 11614])).
% 5.56/4.20 tff(11712,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11713,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11714,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11713, 11712])).
% 5.56/4.20 tff(11715,plain,
% 5.56/4.20 (~node2(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11714, 195, 11598])).
% 5.56/4.20 tff(11716,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11717,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11718,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 5.56/4.20 tff(11719,plain,
% 5.56/4.20 (~node1(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11718, 249, 11653])).
% 5.56/4.20 tff(11720,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11721,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11722,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 5.56/4.20 tff(11723,plain,
% 5.56/4.20 (node7(s142, s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11722, 217, 11664])).
% 5.56/4.20 tff(11724,plain,
% 5.56/4.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11725,plain,
% 5.56/4.20 (((~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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11726,plain,
% 5.56/4.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.56/4.20 inference(monotonicity,[status(thm)],[11725])).
% 5.56/4.20 tff(11727,plain,
% 5.56/4.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.56/4.20 inference(transitivity,[status(thm)],[11726, 11724])).
% 5.56/4.20 tff(11728,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11729,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 5.56/4.20 tff(11730,plain,
% 5.56/4.20 (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11729, 478, 11723])).
% 5.56/4.20 tff(11731,plain,
% 5.56/4.20 (m_main_v_state1(s143, c_n1)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11730, 11719, 11649, 11715, 11711, 11707, 11703])).
% 5.56/4.20 tff(11732,plain,
% 5.56/4.20 (((~![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)))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11733,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11734,plain,
% 5.56/4.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143))),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 5.56/4.20 tff(11735,plain,
% 5.56/4.20 (~node8(s143)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11734, 383, 11680])).
% 5.56/4.20 tff(11736,plain,
% 5.56/4.20 (succ(s143, s144) <=> succ(s143, s144)),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11737,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 5.56/4.20 tff(11738,plain,
% 5.56/4.20 (succ(s143, s144)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 5.56/4.20 tff(11739,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11740,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11741,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11740, 11739])).
% 5.56/4.20 tff(11742,plain,
% 5.56/4.20 (trans(s143, s144)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11741, 11738, 57])).
% 5.56/4.20 tff(11743,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11744,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11745,plain,
% 5.56/4.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 5.56/4.20 tff(11746,plain,
% 5.56/4.20 (node14(s143, s144)),
% 5.56/4.20 inference(unit_resolution,[status(thm)],[11745, 130, 11742])).
% 5.56/4.20 tff(11747,plain,
% 5.56/4.20 (((~![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))),
% 5.56/4.20 inference(rewrite,[status(thm)],[])).
% 5.56/4.20 tff(11748,plain,
% 5.56/4.20 ((~![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))),
% 5.56/4.20 inference(quant_inst,[status(thm)],[])).
% 5.56/4.20 tff(11749,plain,
% 5.56/4.20 ((~![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)),
% 5.56/4.20 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 5.56/4.20 tff(11750,plain,
% 5.56/4.20 ((~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)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11749, 704, 11746])).
% 5.56/4.21 tff(11751,plain,
% 5.56/4.21 (m_main_v_state2(s144, c_c2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11750, 11735, 11731, 11695, 11688, 11684])).
% 5.56/4.21 tff(11752,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11753,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11754,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 5.56/4.21 tff(11755,plain,
% 5.56/4.21 (~m_main_v_state2(s144, c_t2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11754, 173, 11751])).
% 5.56/4.21 tff(11756,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11757,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11758,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11757, 11756])).
% 5.56/4.21 tff(11759,plain,
% 5.56/4.21 (~node12(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11758, 778, 11755])).
% 5.56/4.21 tff(11760,plain,
% 5.56/4.21 (((~![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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11761,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11762,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 5.56/4.21 tff(11763,plain,
% 5.56/4.21 (node7(s143, s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11762, 217, 11742])).
% 5.56/4.21 tff(11764,plain,
% 5.56/4.21 (((~![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(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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11765,plain,
% 5.56/4.21 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11766,plain,
% 5.56/4.21 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 5.56/4.21 tff(11767,plain,
% 5.56/4.21 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_state1(s144, c_t1)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11766, 598, 11763])).
% 5.56/4.21 tff(11768,plain,
% 5.56/4.21 (m_main_v_state1(s144, c_t1)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11767, 11695, 11731])).
% 5.56/4.21 tff(11769,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11770,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11771,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11770, 11769])).
% 5.56/4.21 tff(11772,plain,
% 5.56/4.21 (~m_main_v_state1(s144, c_n1)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11771, 35, 11768])).
% 5.56/4.21 tff(11773,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11774,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11775,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 5.56/4.21 tff(11776,plain,
% 5.56/4.21 (~node11(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11775, 361, 11772])).
% 5.56/4.21 tff(11777,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11778,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11779,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 5.56/4.21 tff(11780,plain,
% 5.56/4.21 (~m_main_v_state1(s144, c_c1)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11779, 289, 11768])).
% 5.56/4.21 tff(11781,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11782,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11783,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 5.56/4.21 tff(11784,plain,
% 5.56/4.21 (~node10(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11783, 793, 11780])).
% 5.56/4.21 tff(11785,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11786,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11787,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 5.56/4.21 tff(11788,plain,
% 5.56/4.21 (~node9(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11787, 804, 11772])).
% 5.56/4.21 tff(11789,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11790,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11791,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 5.56/4.21 tff(11792,plain,
% 5.56/4.21 (~m_main_v_state2(s144, c_n2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11791, 716, 11751])).
% 5.56/4.21 tff(11793,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11794,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11795,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 5.56/4.21 tff(11796,plain,
% 5.56/4.21 (~node8(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11795, 383, 11792])).
% 5.56/4.21 tff(11797,plain,
% 5.56/4.21 (succ(s144, s145) <=> succ(s144, s145)),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11798,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 5.56/4.21 tff(11799,plain,
% 5.56/4.21 (succ(s144, s145)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 5.56/4.21 tff(11800,plain,
% 5.56/4.21 (((~![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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11801,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11802,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 5.56/4.21 tff(11803,plain,
% 5.56/4.21 (trans(s144, s145)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11802, 11799, 57])).
% 5.56/4.21 tff(11804,plain,
% 5.56/4.21 (((~![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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11805,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11806,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11805, 11804])).
% 5.56/4.21 tff(11807,plain,
% 5.56/4.21 (node14(s144, s145)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11806, 130, 11803])).
% 5.56/4.21 tff(11808,plain,
% 5.56/4.21 (((~![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(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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11809,plain,
% 5.56/4.21 (((~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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11810,plain,
% 5.56/4.21 (((~![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(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))))),
% 5.56/4.21 inference(monotonicity,[status(thm)],[11809])).
% 5.56/4.21 tff(11811,plain,
% 5.56/4.21 (((~![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(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)))),
% 5.56/4.21 inference(transitivity,[status(thm)],[11810, 11808])).
% 5.56/4.21 tff(11812,plain,
% 5.56/4.21 ((~![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(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11813,plain,
% 5.56/4.21 ((~![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(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 5.56/4.21 tff(11814,plain,
% 5.56/4.21 (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~m_main_v_state2(s144, c_c2))),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11813, 826, 11807])).
% 5.56/4.21 tff(11815,plain,
% 5.56/4.21 (m_main_v_state2(s145, c_n2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11814, 11796, 11751, 11788, 11784, 11776, 11759])).
% 5.56/4.21 tff(11816,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11817,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11818,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 5.56/4.21 tff(11819,plain,
% 5.56/4.21 (~m_main_v_state2(s145, c_c2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11818, 716, 11815])).
% 5.56/4.21 tff(11820,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11821,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11822,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 5.56/4.21 tff(11823,plain,
% 5.56/4.21 (~node3(s145)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11822, 184, 11819])).
% 5.56/4.21 tff(11824,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11825,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11826,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 5.56/4.21 tff(11827,plain,
% 5.56/4.21 (~node1(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11826, 249, 11772])).
% 5.56/4.21 tff(11828,plain,
% 5.56/4.21 (((~![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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11829,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11830,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 5.56/4.21 tff(11831,plain,
% 5.56/4.21 (node18(s143, s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11830, 71, 11742])).
% 5.56/4.21 tff(11832,plain,
% 5.56/4.21 (((~![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(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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11833,plain,
% 5.56/4.21 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11834,plain,
% 5.56/4.21 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 5.56/4.21 tff(11835,plain,
% 5.56/4.21 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_turn(s144, c_2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11834, 625, 11831])).
% 5.56/4.21 tff(11836,plain,
% 5.56/4.21 (m_main_v_turn(s144, c_2)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11835, 11695, 11731])).
% 5.56/4.21 tff(11837,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11838,plain,
% 5.56/4.21 ((~![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)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11839,plain,
% 5.56/4.21 ((~![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))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 5.56/4.21 tff(11840,plain,
% 5.56/4.21 (~m_main_v_turn(s144, c_1)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11839, 322, 11836])).
% 5.56/4.21 tff(11841,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11842,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11843,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 5.56/4.21 tff(11844,plain,
% 5.56/4.21 (~node5(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11843, 641, 11840])).
% 5.56/4.21 tff(11845,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11846,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11847,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 5.56/4.21 tff(11848,plain,
% 5.56/4.21 (~node2(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11847, 652, 11772])).
% 5.56/4.21 tff(11849,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11850,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11851,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 5.56/4.21 tff(11852,plain,
% 5.56/4.21 (~node3(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11851, 663, 11772])).
% 5.56/4.21 tff(11853,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11854,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11855,plain,
% 5.56/4.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144))),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 5.56/4.21 tff(11856,plain,
% 5.56/4.21 (~node4(s144)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11855, 162, 11792])).
% 5.56/4.21 tff(11857,plain,
% 5.56/4.21 (((~![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))),
% 5.56/4.21 inference(rewrite,[status(thm)],[])).
% 5.56/4.21 tff(11858,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))),
% 5.56/4.21 inference(quant_inst,[status(thm)],[])).
% 5.56/4.21 tff(11859,plain,
% 5.56/4.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145)),
% 5.56/4.21 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 5.56/4.21 tff(11860,plain,
% 5.56/4.21 (node7(s144, s145)),
% 5.56/4.21 inference(unit_resolution,[status(thm)],[11859, 217, 11803])).
% 5.56/4.21 tff(11861,plain,
% 5.56/4.21 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11862,plain,
% 5.56/4.22 ((~![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(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11863,plain,
% 5.56/4.22 ((~![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(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 5.56/4.22 tff(11864,plain,
% 5.56/4.22 (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11863, 745, 11860])).
% 5.56/4.22 tff(11865,plain,
% 5.56/4.22 (node6(s144, s145)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11864, 11856, 11780, 11852, 11848, 11844, 11827])).
% 5.56/4.22 tff(11866,plain,
% 5.56/4.22 (((~![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(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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11867,plain,
% 5.56/4.22 (((~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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11868,plain,
% 5.56/4.22 (((~![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))))),
% 5.56/4.22 inference(monotonicity,[status(thm)],[11867])).
% 5.56/4.22 tff(11869,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(transitivity,[status(thm)],[11868, 11866])).
% 5.56/4.22 tff(11870,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11871,plain,
% 5.56/4.22 ((~![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(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 5.56/4.22 tff(11872,plain,
% 5.56/4.22 (~m_main_v_state1(s145, c_n1)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11871, 936, 11772, 11865])).
% 5.56/4.22 tff(11873,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11874,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11875,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 5.56/4.22 tff(11876,plain,
% 5.56/4.22 (~node2(s145)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11875, 652, 11872])).
% 5.56/4.22 tff(11877,plain,
% 5.56/4.22 (((~![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(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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11878,plain,
% 5.56/4.22 (((~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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11879,plain,
% 5.56/4.22 (((~![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))))),
% 5.56/4.22 inference(monotonicity,[status(thm)],[11878])).
% 5.56/4.22 tff(11880,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(transitivity,[status(thm)],[11879, 11877])).
% 5.56/4.22 tff(11881,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11882,plain,
% 5.56/4.22 ((~![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(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11881, 11880])).
% 5.56/4.22 tff(11883,plain,
% 5.56/4.22 (m_main_v_state1(s145, c_t1)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11882, 760, 11768, 11865])).
% 5.56/4.22 tff(11884,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11885,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11886,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 5.56/4.22 tff(11887,plain,
% 5.56/4.22 (~m_main_v_state2(s145, c_t2)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11886, 10, 11815])).
% 5.56/4.22 tff(11888,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11889,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11890,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11889, 11888])).
% 5.56/4.22 tff(11891,plain,
% 5.56/4.22 (~node1(s145)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11890, 206, 11887])).
% 5.56/4.22 tff(11892,plain,
% 5.56/4.22 (succ(s145, s146) <=> succ(s145, s146)),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11893,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 5.56/4.22 tff(11894,plain,
% 5.56/4.22 (succ(s145, s146)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 5.56/4.22 tff(11895,plain,
% 5.56/4.22 (((~![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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11896,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11897,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11896, 11895])).
% 5.56/4.22 tff(11898,plain,
% 5.56/4.22 (trans(s145, s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11897, 11894, 57])).
% 5.56/4.22 tff(11899,plain,
% 5.56/4.22 (((~![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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11900,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11901,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11900, 11899])).
% 5.56/4.22 tff(11902,plain,
% 5.56/4.22 (node7(s145, s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11901, 217, 11898])).
% 5.56/4.22 tff(11903,plain,
% 5.56/4.22 (((~![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(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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11904,plain,
% 5.56/4.22 (((~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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11905,plain,
% 5.56/4.22 (((~![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(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))))),
% 5.56/4.22 inference(monotonicity,[status(thm)],[11904])).
% 5.56/4.22 tff(11906,plain,
% 5.56/4.22 (((~![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(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)))),
% 5.56/4.22 inference(transitivity,[status(thm)],[11905, 11903])).
% 5.56/4.22 tff(11907,plain,
% 5.56/4.22 ((~![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(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))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11908,plain,
% 5.56/4.22 ((~![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(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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11907, 11906])).
% 5.56/4.22 tff(11909,plain,
% 5.56/4.22 ((~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)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11908, 965, 11902])).
% 5.56/4.22 tff(11910,plain,
% 5.56/4.22 (m_main_v_state1(s146, c_c1)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11909, 11891, 11815, 11883, 11876, 11823])).
% 5.56/4.22 tff(11911,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11912,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11913,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11912, 11911])).
% 5.56/4.22 tff(11914,plain,
% 5.56/4.22 (~m_main_v_state1(s146, c_t1)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11913, 289, 11910])).
% 5.56/4.22 tff(11915,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11916,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11917,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11916, 11915])).
% 5.56/4.22 tff(11918,plain,
% 5.56/4.22 (~node5(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11917, 300, 11914])).
% 5.56/4.22 tff(11919,plain,
% 5.56/4.22 (((~![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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11920,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11921,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 5.56/4.22 tff(11922,plain,
% 5.56/4.22 (node14(s145, s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11921, 130, 11898])).
% 5.56/4.22 tff(11923,plain,
% 5.56/4.22 (((~![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(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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11924,plain,
% 5.56/4.22 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11925,plain,
% 5.56/4.22 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 5.56/4.22 tff(11926,plain,
% 5.56/4.22 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state2(s146, c_t2)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11925, 893, 11922])).
% 5.56/4.22 tff(11927,plain,
% 5.56/4.22 (m_main_v_state2(s146, c_t2)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11926, 11883, 11815])).
% 5.56/4.22 tff(11928,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11929,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11930,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11929, 11928])).
% 5.56/4.22 tff(11931,plain,
% 5.56/4.22 (~m_main_v_state2(s146, c_n2)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11930, 10, 11927])).
% 5.56/4.22 tff(11932,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11933,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11934,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 5.56/4.22 tff(11935,plain,
% 5.56/4.22 (~node4(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11934, 162, 11931])).
% 5.56/4.22 tff(11936,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11937,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11938,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 5.56/4.22 tff(11939,plain,
% 5.56/4.22 (~m_main_v_state2(s146, c_c2)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11938, 173, 11927])).
% 5.56/4.22 tff(11940,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11941,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11942,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 5.56/4.22 tff(11943,plain,
% 5.56/4.22 (~node3(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11942, 184, 11939])).
% 5.56/4.22 tff(11944,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11945,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11946,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 5.56/4.22 tff(11947,plain,
% 5.56/4.22 (~node2(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11946, 195, 11931])).
% 5.56/4.22 tff(11948,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11949,plain,
% 5.56/4.22 ((~![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)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11950,plain,
% 5.56/4.22 ((~![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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 5.56/4.22 tff(11951,plain,
% 5.56/4.22 (~m_main_v_state1(s146, c_n1)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11950, 449, 11910])).
% 5.56/4.22 tff(11952,plain,
% 5.56/4.22 (((~![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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11953,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11954,plain,
% 5.56/4.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 5.56/4.22 tff(11955,plain,
% 5.56/4.22 (~node1(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11954, 249, 11951])).
% 5.56/4.22 tff(11956,plain,
% 5.56/4.22 (succ(s146, s147) <=> succ(s146, s147)),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11957,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 5.56/4.22 tff(11958,plain,
% 5.56/4.22 (succ(s146, s147)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 5.56/4.22 tff(11959,plain,
% 5.56/4.22 (((~![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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11960,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11961,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 5.56/4.22 tff(11962,plain,
% 5.56/4.22 (trans(s146, s147)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11961, 11958, 57])).
% 5.56/4.22 tff(11963,plain,
% 5.56/4.22 (((~![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))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11964,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11965,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147)),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 5.56/4.22 tff(11966,plain,
% 5.56/4.22 (node7(s146, s147)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11965, 217, 11962])).
% 5.56/4.22 tff(11967,plain,
% 5.56/4.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11968,plain,
% 5.56/4.22 (((~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)))),
% 5.56/4.22 inference(rewrite,[status(thm)],[])).
% 5.56/4.22 tff(11969,plain,
% 5.56/4.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.56/4.22 inference(monotonicity,[status(thm)],[11968])).
% 5.56/4.22 tff(11970,plain,
% 5.56/4.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.56/4.22 inference(transitivity,[status(thm)],[11969, 11967])).
% 5.56/4.22 tff(11971,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.56/4.22 inference(quant_inst,[status(thm)],[])).
% 5.56/4.22 tff(11972,plain,
% 5.56/4.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.56/4.22 inference(modus_ponens,[status(thm)],[11971, 11970])).
% 5.56/4.22 tff(11973,plain,
% 5.56/4.22 (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146)),
% 5.56/4.22 inference(unit_resolution,[status(thm)],[11972, 478, 11966])).
% 5.56/4.22 tff(11974,plain,
% 5.56/4.22 (m_main_v_state1(s147, c_n1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11973, 11955, 11910, 11947, 11943, 11935, 11918])).
% 5.59/4.23 tff(11975,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11976,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(11977,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 5.59/4.23 tff(11978,plain,
% 5.59/4.23 (~node15(s145)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11977, 21, 11887])).
% 5.59/4.23 tff(11979,plain,
% 5.59/4.23 (((~![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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11980,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(11981,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 5.59/4.23 tff(11982,plain,
% 5.59/4.23 (node18(s145, s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11981, 71, 11898])).
% 5.59/4.23 tff(11983,plain,
% 5.59/4.23 (((~![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(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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11984,plain,
% 5.59/4.23 (((~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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11985,plain,
% 5.59/4.23 (((~![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(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)))),
% 5.59/4.23 inference(monotonicity,[status(thm)],[11984])).
% 5.59/4.23 tff(11986,plain,
% 5.59/4.23 (((~![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(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))),
% 5.59/4.23 inference(transitivity,[status(thm)],[11985, 11983])).
% 5.59/4.23 tff(11987,plain,
% 5.59/4.23 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(11988,plain,
% 5.59/4.23 ((~![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(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)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[11987, 11986])).
% 5.59/4.23 tff(11989,plain,
% 5.59/4.23 (node15(s145) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11988, 863, 11982])).
% 5.59/4.23 tff(11990,plain,
% 5.59/4.23 (m_main_v_turn(s146, c_1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11989, 11978, 11815, 11883])).
% 5.59/4.23 tff(11991,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11992,plain,
% 5.59/4.23 ((~![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)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(11993,plain,
% 5.59/4.23 ((~![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))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[11992, 11991])).
% 5.59/4.23 tff(11994,plain,
% 5.59/4.23 (~m_main_v_turn(s146, c_2)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11993, 322, 11990])).
% 5.59/4.23 tff(11995,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(11996,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(11997,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 5.59/4.23 tff(11998,plain,
% 5.59/4.23 (~node12(s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[11997, 350, 11994])).
% 5.59/4.23 tff(11999,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12000,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12001,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 5.59/4.23 tff(12002,plain,
% 5.59/4.23 (~node8(s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12001, 383, 11931])).
% 5.59/4.23 tff(12003,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12004,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12005,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 5.59/4.23 tff(12006,plain,
% 5.59/4.23 (~node9(s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12005, 311, 11931])).
% 5.59/4.23 tff(12007,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12008,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12009,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 5.59/4.23 tff(12010,plain,
% 5.59/4.23 (~node10(s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12009, 372, 11931])).
% 5.59/4.23 tff(12011,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12012,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12013,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 5.59/4.23 tff(12014,plain,
% 5.59/4.23 (~node11(s146)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12013, 361, 11951])).
% 5.59/4.23 tff(12015,plain,
% 5.59/4.23 (((~![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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12016,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12017,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 5.59/4.23 tff(12018,plain,
% 5.59/4.23 (node14(s146, s147)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12017, 130, 11962])).
% 5.59/4.23 tff(12019,plain,
% 5.59/4.23 (((~![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(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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12020,plain,
% 5.59/4.23 ((~![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(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12021,plain,
% 5.59/4.23 ((~![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(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 5.59/4.23 tff(12022,plain,
% 5.59/4.23 (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12021, 401, 12018])).
% 5.59/4.23 tff(12023,plain,
% 5.59/4.23 (node13(s146, s147)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12022, 12014, 11939, 12010, 12006, 12002, 11998])).
% 5.59/4.23 tff(12024,plain,
% 5.59/4.23 (((~![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(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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12025,plain,
% 5.59/4.23 (((~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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12026,plain,
% 5.59/4.23 (((~![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))))),
% 5.59/4.23 inference(monotonicity,[status(thm)],[12025])).
% 5.59/4.23 tff(12027,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(transitivity,[status(thm)],[12026, 12024])).
% 5.59/4.23 tff(12028,plain,
% 5.59/4.23 ((~![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))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12029,plain,
% 5.59/4.23 ((~![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(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 5.59/4.23 tff(12030,plain,
% 5.59/4.23 (m_main_v_state2(s147, c_t2)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12029, 563, 11927, 12023])).
% 5.59/4.23 tff(12031,plain,
% 5.59/4.23 (succ(s147, s148) <=> succ(s147, s148)),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12032,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 5.59/4.23 tff(12033,plain,
% 5.59/4.23 (succ(s147, s148)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 5.59/4.23 tff(12034,plain,
% 5.59/4.23 (((~![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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12035,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12036,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 5.59/4.23 tff(12037,plain,
% 5.59/4.23 (trans(s147, s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12036, 12033, 57])).
% 5.59/4.23 tff(12038,plain,
% 5.59/4.23 (((~![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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12039,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12040,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 5.59/4.23 tff(12041,plain,
% 5.59/4.23 (node7(s147, s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12040, 217, 12037])).
% 5.59/4.23 tff(12042,plain,
% 5.59/4.23 (((~![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(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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12043,plain,
% 5.59/4.23 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12044,plain,
% 5.59/4.23 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12043, 12042])).
% 5.59/4.23 tff(12045,plain,
% 5.59/4.23 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_state1(s148, c_t1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12044, 598, 12041])).
% 5.59/4.23 tff(12046,plain,
% 5.59/4.23 (m_main_v_state1(s148, c_t1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12045, 12030, 11974])).
% 5.59/4.23 tff(12047,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12048,plain,
% 5.59/4.23 ((~![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)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12049,plain,
% 5.59/4.23 ((~![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))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 5.59/4.23 tff(12050,plain,
% 5.59/4.23 (~m_main_v_state1(s148, c_n1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12049, 35, 12046])).
% 5.59/4.23 tff(12051,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12052,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12053,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 5.59/4.23 tff(12054,plain,
% 5.59/4.23 (~node1(s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12053, 249, 12050])).
% 5.59/4.23 tff(12055,plain,
% 5.59/4.23 (((~![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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12056,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12057,plain,
% 5.59/4.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12056, 12055])).
% 5.59/4.23 tff(12058,plain,
% 5.59/4.23 (node18(s147, s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12057, 71, 12037])).
% 5.59/4.23 tff(12059,plain,
% 5.59/4.23 (((~![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(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))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12060,plain,
% 5.59/4.23 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12061,plain,
% 5.59/4.23 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2)),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 5.59/4.23 tff(12062,plain,
% 5.59/4.23 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_turn(s148, c_2)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12061, 625, 12058])).
% 5.59/4.23 tff(12063,plain,
% 5.59/4.23 (m_main_v_turn(s148, c_2)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12062, 12030, 11974])).
% 5.59/4.23 tff(12064,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12065,plain,
% 5.59/4.23 ((~![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)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12066,plain,
% 5.59/4.23 ((~![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))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 5.59/4.23 tff(12067,plain,
% 5.59/4.23 (~m_main_v_turn(s148, c_1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12066, 322, 12063])).
% 5.59/4.23 tff(12068,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12069,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12070,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 5.59/4.23 tff(12071,plain,
% 5.59/4.23 (~node5(s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12070, 641, 12067])).
% 5.59/4.23 tff(12072,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12073,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12074,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 5.59/4.23 tff(12075,plain,
% 5.59/4.23 (~node2(s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12074, 652, 12050])).
% 5.59/4.23 tff(12076,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12077,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12078,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 5.59/4.23 tff(12079,plain,
% 5.59/4.23 (~node3(s148)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12078, 663, 12050])).
% 5.59/4.23 tff(12080,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12081,plain,
% 5.59/4.23 ((~![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)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12082,plain,
% 5.59/4.23 ((~![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))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12081, 12080])).
% 5.59/4.23 tff(12083,plain,
% 5.59/4.23 (~m_main_v_state1(s148, c_c1)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12082, 289, 12046])).
% 5.59/4.23 tff(12084,plain,
% 5.59/4.23 (((~![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(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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12085,plain,
% 5.59/4.23 (((~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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12086,plain,
% 5.59/4.23 (((~![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))))),
% 5.59/4.23 inference(monotonicity,[status(thm)],[12085])).
% 5.59/4.23 tff(12087,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(transitivity,[status(thm)],[12086, 12084])).
% 5.59/4.23 tff(12088,plain,
% 5.59/4.23 ((~![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)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12089,plain,
% 5.59/4.23 ((~![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(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 5.59/4.23 tff(12090,plain,
% 5.59/4.23 (~m_main_v_state2(s147, c_n2)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12089, 416, 11931, 12023])).
% 5.59/4.23 tff(12091,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12092,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12093,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147))),
% 5.59/4.23 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 5.59/4.23 tff(12094,plain,
% 5.59/4.23 (~node9(s147)),
% 5.59/4.23 inference(unit_resolution,[status(thm)],[12093, 311, 12090])).
% 5.59/4.23 tff(12095,plain,
% 5.59/4.23 (((~![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)))),
% 5.59/4.23 inference(rewrite,[status(thm)],[])).
% 5.59/4.23 tff(12096,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 5.59/4.23 inference(quant_inst,[status(thm)],[])).
% 5.59/4.23 tff(12097,plain,
% 5.59/4.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 5.59/4.24 tff(12098,plain,
% 5.59/4.24 (~node10(s147)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12097, 372, 12090])).
% 5.59/4.24 tff(12099,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12100,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12101,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 5.59/4.24 tff(12102,plain,
% 5.59/4.24 (~node8(s147)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12101, 383, 12090])).
% 5.59/4.24 tff(12103,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12104,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12105,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 5.59/4.24 tff(12106,plain,
% 5.59/4.24 (node14(s147, s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12105, 130, 12037])).
% 5.59/4.24 tff(12107,plain,
% 5.59/4.24 (((~![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(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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12108,plain,
% 5.59/4.24 ((~![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(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))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12109,plain,
% 5.59/4.24 ((~![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(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)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 5.59/4.24 tff(12110,plain,
% 5.59/4.24 ((~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)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12109, 704, 12106])).
% 5.59/4.24 tff(12111,plain,
% 5.59/4.24 (m_main_v_state2(s148, c_c2)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12110, 12102, 11974, 12030, 12098, 12094])).
% 5.59/4.24 tff(12112,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12113,plain,
% 5.59/4.24 ((~![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)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12114,plain,
% 5.59/4.24 ((~![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))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 5.59/4.24 tff(12115,plain,
% 5.59/4.24 (~m_main_v_state2(s148, c_n2)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12114, 716, 12111])).
% 5.59/4.24 tff(12116,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12117,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12118,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 5.59/4.24 tff(12119,plain,
% 5.59/4.24 (~node4(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12118, 162, 12115])).
% 5.59/4.24 tff(12120,plain,
% 5.59/4.24 (succ(s148, s149) <=> succ(s148, s149)),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12121,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 5.59/4.24 tff(12122,plain,
% 5.59/4.24 (succ(s148, s149)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 5.59/4.24 tff(12123,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12124,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12125,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12124, 12123])).
% 5.59/4.24 tff(12126,plain,
% 5.59/4.24 (trans(s148, s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12125, 12122, 57])).
% 5.59/4.24 tff(12127,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12128,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12129,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 5.59/4.24 tff(12130,plain,
% 5.59/4.24 (node7(s148, s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12129, 217, 12126])).
% 5.59/4.24 tff(12131,plain,
% 5.59/4.24 (((~![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(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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12132,plain,
% 5.59/4.24 ((~![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(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12133,plain,
% 5.59/4.24 ((~![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(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 5.59/4.24 tff(12134,plain,
% 5.59/4.24 (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12133, 745, 12130])).
% 5.59/4.24 tff(12135,plain,
% 5.59/4.24 (node6(s148, s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12134, 12119, 12083, 12079, 12075, 12071, 12054])).
% 5.59/4.24 tff(12136,plain,
% 5.59/4.24 (((~![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(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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12137,plain,
% 5.59/4.24 (((~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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12138,plain,
% 5.59/4.24 (((~![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))))),
% 5.59/4.24 inference(monotonicity,[status(thm)],[12137])).
% 5.59/4.24 tff(12139,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(transitivity,[status(thm)],[12138, 12136])).
% 5.59/4.24 tff(12140,plain,
% 5.59/4.24 ((~![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))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12141,plain,
% 5.59/4.24 ((~![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(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 5.59/4.24 tff(12142,plain,
% 5.59/4.24 (m_main_v_state1(s149, c_t1)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12141, 760, 12046, 12135])).
% 5.59/4.24 tff(12143,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12144,plain,
% 5.59/4.24 ((~![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)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12145,plain,
% 5.59/4.24 ((~![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))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 5.59/4.24 tff(12146,plain,
% 5.59/4.24 (~m_main_v_state2(s148, c_t2)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12145, 173, 12111])).
% 5.59/4.24 tff(12147,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12148,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12149,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12148, 12147])).
% 5.59/4.24 tff(12150,plain,
% 5.59/4.24 (~node12(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12149, 778, 12146])).
% 5.59/4.24 tff(12151,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12152,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12153,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 5.59/4.24 tff(12154,plain,
% 5.59/4.24 (~node11(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12153, 361, 12050])).
% 5.59/4.24 tff(12155,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12156,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12157,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 5.59/4.24 tff(12158,plain,
% 5.59/4.24 (~node10(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12157, 793, 12083])).
% 5.59/4.24 tff(12159,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12160,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12161,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 5.59/4.24 tff(12162,plain,
% 5.59/4.24 (~node9(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12161, 804, 12050])).
% 5.59/4.24 tff(12163,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12164,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12165,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 5.59/4.24 tff(12166,plain,
% 5.59/4.24 (~node8(s148)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12165, 383, 12115])).
% 5.59/4.24 tff(12167,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12168,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12169,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 5.59/4.24 tff(12170,plain,
% 5.59/4.24 (node14(s148, s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12169, 130, 12126])).
% 5.59/4.24 tff(12171,plain,
% 5.59/4.24 (((~![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(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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12172,plain,
% 5.59/4.24 (((~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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12173,plain,
% 5.59/4.24 (((~![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(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))))),
% 5.59/4.24 inference(monotonicity,[status(thm)],[12172])).
% 5.59/4.24 tff(12174,plain,
% 5.59/4.24 (((~![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(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)))),
% 5.59/4.24 inference(transitivity,[status(thm)],[12173, 12171])).
% 5.59/4.24 tff(12175,plain,
% 5.59/4.24 ((~![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(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12176,plain,
% 5.59/4.24 ((~![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(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12175, 12174])).
% 5.59/4.24 tff(12177,plain,
% 5.59/4.24 (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~m_main_v_state2(s148, c_c2))),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12176, 826, 12170])).
% 5.59/4.24 tff(12178,plain,
% 5.59/4.24 (m_main_v_state2(s149, c_n2)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12177, 12166, 12111, 12162, 12158, 12154, 12150])).
% 5.59/4.24 tff(12179,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12180,plain,
% 5.59/4.24 ((~![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)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12181,plain,
% 5.59/4.24 ((~![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))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12180, 12179])).
% 5.59/4.24 tff(12182,plain,
% 5.59/4.24 (~m_main_v_state2(s149, c_t2)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12181, 10, 12178])).
% 5.59/4.24 tff(12183,plain,
% 5.59/4.24 (((~![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)))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12184,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12185,plain,
% 5.59/4.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149))),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 5.59/4.24 tff(12186,plain,
% 5.59/4.24 (~node15(s149)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12185, 21, 12182])).
% 5.59/4.24 tff(12187,plain,
% 5.59/4.24 (succ(s149, s150) <=> succ(s149, s150)),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12188,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 5.59/4.24 tff(12189,plain,
% 5.59/4.24 (succ(s149, s150)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 5.59/4.24 tff(12190,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12191,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12192,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12191, 12190])).
% 5.59/4.24 tff(12193,plain,
% 5.59/4.24 (trans(s149, s150)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12192, 12189, 57])).
% 5.59/4.24 tff(12194,plain,
% 5.59/4.24 (((~![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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12195,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))),
% 5.59/4.24 inference(quant_inst,[status(thm)],[])).
% 5.59/4.24 tff(12196,plain,
% 5.59/4.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150)),
% 5.59/4.24 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 5.59/4.24 tff(12197,plain,
% 5.59/4.24 (node18(s149, s150)),
% 5.59/4.24 inference(unit_resolution,[status(thm)],[12196, 71, 12193])).
% 5.59/4.24 tff(12198,plain,
% 5.59/4.24 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12199,plain,
% 5.59/4.24 (((~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))),
% 5.59/4.24 inference(rewrite,[status(thm)],[])).
% 5.59/4.24 tff(12200,plain,
% 5.59/4.24 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.59/4.25 inference(monotonicity,[status(thm)],[12199])).
% 5.59/4.25 tff(12201,plain,
% 5.59/4.25 (((~![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(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))),
% 5.59/4.25 inference(transitivity,[status(thm)],[12200, 12198])).
% 5.59/4.25 tff(12202,plain,
% 5.59/4.25 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12203,plain,
% 5.59/4.25 ((~![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(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)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 5.59/4.25 tff(12204,plain,
% 5.59/4.25 (node15(s149) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12203, 863, 12197])).
% 5.59/4.25 tff(12205,plain,
% 5.59/4.25 (m_main_v_turn(s150, c_1)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12204, 12186, 12178, 12142])).
% 5.59/4.25 tff(12206,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12207,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12208,plain,
% 5.59/4.25 ((~![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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12207, 12206])).
% 5.59/4.25 tff(12209,plain,
% 5.59/4.25 (~m_main_v_turn(s150, c_2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12208, 322, 12205])).
% 5.59/4.25 tff(12210,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12211,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12212,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 5.59/4.25 tff(12213,plain,
% 5.59/4.25 (~node12(s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12212, 350, 12209])).
% 5.59/4.25 tff(12214,plain,
% 5.59/4.25 (((~![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))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12215,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12216,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 5.59/4.25 tff(12217,plain,
% 5.59/4.25 (node14(s149, s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12216, 130, 12193])).
% 5.59/4.25 tff(12218,plain,
% 5.59/4.25 (((~![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(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))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12219,plain,
% 5.59/4.25 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12220,plain,
% 5.59/4.25 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 5.59/4.25 tff(12221,plain,
% 5.59/4.25 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state2(s150, c_t2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12220, 893, 12217])).
% 5.59/4.25 tff(12222,plain,
% 5.59/4.25 (m_main_v_state2(s150, c_t2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12221, 12142, 12178])).
% 5.59/4.25 tff(12223,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12224,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12225,plain,
% 5.59/4.25 ((~![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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12224, 12223])).
% 5.59/4.25 tff(12226,plain,
% 5.59/4.25 (~m_main_v_state2(s150, c_n2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12225, 10, 12222])).
% 5.59/4.25 tff(12227,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12228,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12229,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 5.59/4.25 tff(12230,plain,
% 5.59/4.25 (~node8(s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12229, 383, 12226])).
% 5.59/4.25 tff(12231,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12232,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12233,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 5.59/4.25 tff(12234,plain,
% 5.59/4.25 (~node9(s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12233, 311, 12226])).
% 5.59/4.25 tff(12235,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12236,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12237,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12236, 12235])).
% 5.59/4.25 tff(12238,plain,
% 5.59/4.25 (~node10(s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12237, 372, 12226])).
% 5.59/4.25 tff(12239,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12240,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12241,plain,
% 5.59/4.25 ((~![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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 5.59/4.25 tff(12242,plain,
% 5.59/4.25 (~m_main_v_state2(s150, c_c2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12241, 173, 12222])).
% 5.59/4.25 tff(12243,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12244,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12245,plain,
% 5.59/4.25 ((~![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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 5.59/4.25 tff(12246,plain,
% 5.59/4.25 (~m_main_v_state2(s149, c_c2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12245, 716, 12178])).
% 5.59/4.25 tff(12247,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12248,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12249,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 5.59/4.25 tff(12250,plain,
% 5.59/4.25 (~node3(s149)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12249, 184, 12246])).
% 5.59/4.25 tff(12251,plain,
% 5.59/4.25 (((~![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(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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12252,plain,
% 5.59/4.25 (((~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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12253,plain,
% 5.59/4.25 (((~![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))))),
% 5.59/4.25 inference(monotonicity,[status(thm)],[12252])).
% 5.59/4.25 tff(12254,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(transitivity,[status(thm)],[12253, 12251])).
% 5.59/4.25 tff(12255,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12256,plain,
% 5.59/4.25 ((~![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(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 5.59/4.25 tff(12257,plain,
% 5.59/4.25 (~m_main_v_state1(s149, c_n1)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12256, 936, 12050, 12135])).
% 5.59/4.25 tff(12258,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12259,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12260,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 5.59/4.25 tff(12261,plain,
% 5.59/4.25 (~node2(s149)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12260, 652, 12257])).
% 5.59/4.25 tff(12262,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12263,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12264,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 5.59/4.25 tff(12265,plain,
% 5.59/4.25 (~node1(s149)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12264, 206, 12182])).
% 5.59/4.25 tff(12266,plain,
% 5.59/4.25 (((~![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))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12267,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12268,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 5.59/4.25 tff(12269,plain,
% 5.59/4.25 (node7(s149, s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12268, 217, 12193])).
% 5.59/4.25 tff(12270,plain,
% 5.59/4.25 (((~![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(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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12271,plain,
% 5.59/4.25 (((~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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12272,plain,
% 5.59/4.25 (((~![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(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))))),
% 5.59/4.25 inference(monotonicity,[status(thm)],[12271])).
% 5.59/4.25 tff(12273,plain,
% 5.59/4.25 (((~![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(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)))),
% 5.59/4.25 inference(transitivity,[status(thm)],[12272, 12270])).
% 5.59/4.25 tff(12274,plain,
% 5.59/4.25 ((~![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(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))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12275,plain,
% 5.59/4.25 ((~![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(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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 5.59/4.25 tff(12276,plain,
% 5.59/4.25 ((~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)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12275, 965, 12269])).
% 5.59/4.25 tff(12277,plain,
% 5.59/4.25 (m_main_v_state1(s150, c_c1)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12276, 12265, 12178, 12142, 12261, 12250])).
% 5.59/4.25 tff(12278,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12279,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12280,plain,
% 5.59/4.25 ((~![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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12279, 12278])).
% 5.59/4.25 tff(12281,plain,
% 5.59/4.25 (~m_main_v_state1(s150, c_n1)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12280, 449, 12277])).
% 5.59/4.25 tff(12282,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12283,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12284,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 5.59/4.25 tff(12285,plain,
% 5.59/4.25 (~node11(s150)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12284, 361, 12281])).
% 5.59/4.25 tff(12286,plain,
% 5.59/4.25 (succ(s150, s151) <=> succ(s150, s151)),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12287,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 5.59/4.25 tff(12288,plain,
% 5.59/4.25 (succ(s150, s151)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 5.59/4.25 tff(12289,plain,
% 5.59/4.25 (((~![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))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12290,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12291,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 5.59/4.25 tff(12292,plain,
% 5.59/4.25 (trans(s150, s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12291, 12288, 57])).
% 5.59/4.25 tff(12293,plain,
% 5.59/4.25 (((~![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))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12294,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12295,plain,
% 5.59/4.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151)),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 5.59/4.25 tff(12296,plain,
% 5.59/4.25 (node14(s150, s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12295, 130, 12292])).
% 5.59/4.25 tff(12297,plain,
% 5.59/4.25 (((~![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(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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12298,plain,
% 5.59/4.25 ((~![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(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12299,plain,
% 5.59/4.25 ((~![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(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12298, 12297])).
% 5.59/4.25 tff(12300,plain,
% 5.59/4.25 (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12299, 401, 12296])).
% 5.59/4.25 tff(12301,plain,
% 5.59/4.25 (node13(s150, s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12300, 12285, 12242, 12238, 12234, 12230, 12213])).
% 5.59/4.25 tff(12302,plain,
% 5.59/4.25 (((~![V: $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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12303,plain,
% 5.59/4.25 (((~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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12304,plain,
% 5.59/4.25 (((~![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))))),
% 5.59/4.25 inference(monotonicity,[status(thm)],[12303])).
% 5.59/4.25 tff(12305,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(transitivity,[status(thm)],[12304, 12302])).
% 5.59/4.25 tff(12306,plain,
% 5.59/4.25 ((~![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)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12307,plain,
% 5.59/4.25 ((~![V: $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))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 5.59/4.25 tff(12308,plain,
% 5.59/4.25 (~m_main_v_state2(s151, c_n2)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12307, 416, 12226, 12301])).
% 5.59/4.25 tff(12309,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12310,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12311,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 5.59/4.25 tff(12312,plain,
% 5.59/4.25 (~node9(s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12311, 311, 12308])).
% 5.59/4.25 tff(12313,plain,
% 5.59/4.25 (((~![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)))),
% 5.59/4.25 inference(rewrite,[status(thm)],[])).
% 5.59/4.25 tff(12314,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 5.59/4.25 inference(quant_inst,[status(thm)],[])).
% 5.59/4.25 tff(12315,plain,
% 5.59/4.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151))),
% 5.59/4.25 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 5.59/4.25 tff(12316,plain,
% 5.59/4.25 (~node10(s151)),
% 5.59/4.25 inference(unit_resolution,[status(thm)],[12315, 372, 12308])).
% 5.59/4.25 tff(12317,plain,
% 5.59/4.25 (((~![V: $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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12318,plain,
% 5.59/4.26 (((~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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12319,plain,
% 5.59/4.26 (((~![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))))),
% 5.59/4.26 inference(monotonicity,[status(thm)],[12318])).
% 5.59/4.26 tff(12320,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(transitivity,[status(thm)],[12319, 12317])).
% 5.59/4.26 tff(12321,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12322,plain,
% 5.59/4.26 ((~![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(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 5.59/4.26 tff(12323,plain,
% 5.59/4.26 (m_main_v_state2(s151, c_t2)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12322, 563, 12222, 12301])).
% 5.59/4.26 tff(12324,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12325,plain,
% 5.59/4.26 ((~![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)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12326,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12325, 12324])).
% 5.59/4.26 tff(12327,plain,
% 5.59/4.26 (~m_main_v_state1(s150, c_t1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12326, 289, 12277])).
% 5.59/4.26 tff(12328,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12329,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12330,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 5.59/4.26 tff(12331,plain,
% 5.59/4.26 (~node5(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12330, 300, 12327])).
% 5.59/4.26 tff(12332,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12333,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12334,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 5.59/4.26 tff(12335,plain,
% 5.59/4.26 (~node4(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12334, 162, 12226])).
% 5.59/4.26 tff(12336,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12337,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12338,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12337, 12336])).
% 5.59/4.26 tff(12339,plain,
% 5.59/4.26 (~node3(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12338, 184, 12242])).
% 5.59/4.26 tff(12340,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12341,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12342,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 5.59/4.26 tff(12343,plain,
% 5.59/4.26 (~node2(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12342, 195, 12226])).
% 5.59/4.26 tff(12344,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12345,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12346,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 5.59/4.26 tff(12347,plain,
% 5.59/4.26 (~node1(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12346, 249, 12281])).
% 5.59/4.26 tff(12348,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12349,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12350,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 5.59/4.26 tff(12351,plain,
% 5.59/4.26 (node7(s150, s151)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12350, 217, 12292])).
% 5.59/4.26 tff(12352,plain,
% 5.59/4.26 (((~![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(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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12353,plain,
% 5.59/4.26 (((~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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12354,plain,
% 5.59/4.26 (((~![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(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))))),
% 5.59/4.26 inference(monotonicity,[status(thm)],[12353])).
% 5.59/4.26 tff(12355,plain,
% 5.59/4.26 (((~![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(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)))),
% 5.59/4.26 inference(transitivity,[status(thm)],[12354, 12352])).
% 5.59/4.26 tff(12356,plain,
% 5.59/4.26 ((~![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(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12357,plain,
% 5.59/4.26 ((~![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(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 5.59/4.26 tff(12358,plain,
% 5.59/4.26 (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12357, 478, 12351])).
% 5.59/4.26 tff(12359,plain,
% 5.59/4.26 (m_main_v_state1(s151, c_n1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12358, 12347, 12277, 12343, 12339, 12335, 12331])).
% 5.59/4.26 tff(12360,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12361,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12362,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12361, 12360])).
% 5.59/4.26 tff(12363,plain,
% 5.59/4.26 (~node8(s151)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12362, 383, 12308])).
% 5.59/4.26 tff(12364,plain,
% 5.59/4.26 (succ(s151, s152) <=> succ(s151, s152)),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12365,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 5.59/4.26 tff(12366,plain,
% 5.59/4.26 (succ(s151, s152)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 5.59/4.26 tff(12367,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12368,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12369,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 5.59/4.26 tff(12370,plain,
% 5.59/4.26 (trans(s151, s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12369, 12366, 57])).
% 5.59/4.26 tff(12371,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12372,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12373,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 5.59/4.26 tff(12374,plain,
% 5.59/4.26 (node14(s151, s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12373, 130, 12370])).
% 5.59/4.26 tff(12375,plain,
% 5.59/4.26 (((~![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(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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12376,plain,
% 5.59/4.26 ((~![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(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))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12377,plain,
% 5.59/4.26 ((~![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(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)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 5.59/4.26 tff(12378,plain,
% 5.59/4.26 ((~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)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12377, 704, 12374])).
% 5.59/4.26 tff(12379,plain,
% 5.59/4.26 (m_main_v_state2(s152, c_c2)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12378, 12363, 12359, 12323, 12316, 12312])).
% 5.59/4.26 tff(12380,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12381,plain,
% 5.59/4.26 ((~![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)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12382,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 5.59/4.26 tff(12383,plain,
% 5.59/4.26 (~m_main_v_state2(s152, c_t2)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12382, 173, 12379])).
% 5.59/4.26 tff(12384,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12385,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12386,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 5.59/4.26 tff(12387,plain,
% 5.59/4.26 (~node12(s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12386, 778, 12383])).
% 5.59/4.26 tff(12388,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12389,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12390,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 5.59/4.26 tff(12391,plain,
% 5.59/4.26 (node7(s151, s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12390, 217, 12370])).
% 5.59/4.26 tff(12392,plain,
% 5.59/4.26 (((~![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(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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12393,plain,
% 5.59/4.26 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12394,plain,
% 5.59/4.26 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 5.59/4.26 tff(12395,plain,
% 5.59/4.26 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_state1(s152, c_t1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12394, 598, 12391])).
% 5.59/4.26 tff(12396,plain,
% 5.59/4.26 (m_main_v_state1(s152, c_t1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12395, 12323, 12359])).
% 5.59/4.26 tff(12397,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12398,plain,
% 5.59/4.26 ((~![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)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12399,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 5.59/4.26 tff(12400,plain,
% 5.59/4.26 (~m_main_v_state1(s152, c_n1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12399, 35, 12396])).
% 5.59/4.26 tff(12401,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12402,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12403,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 5.59/4.26 tff(12404,plain,
% 5.59/4.26 (~node11(s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12403, 361, 12400])).
% 5.59/4.26 tff(12405,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12406,plain,
% 5.59/4.26 ((~![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)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12407,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 5.59/4.26 tff(12408,plain,
% 5.59/4.26 (~m_main_v_state1(s152, c_c1)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12407, 289, 12396])).
% 5.59/4.26 tff(12409,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12410,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12411,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 5.59/4.26 tff(12412,plain,
% 5.59/4.26 (~node10(s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12411, 793, 12408])).
% 5.59/4.26 tff(12413,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12414,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12415,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 5.59/4.26 tff(12416,plain,
% 5.59/4.26 (~node9(s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12415, 804, 12400])).
% 5.59/4.26 tff(12417,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12418,plain,
% 5.59/4.26 ((~![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)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12419,plain,
% 5.59/4.26 ((~![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))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 5.59/4.26 tff(12420,plain,
% 5.59/4.26 (~m_main_v_state2(s152, c_n2)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12419, 716, 12379])).
% 5.59/4.26 tff(12421,plain,
% 5.59/4.26 (((~![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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12422,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12423,plain,
% 5.59/4.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152))),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 5.59/4.26 tff(12424,plain,
% 5.59/4.26 (~node8(s152)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12423, 383, 12420])).
% 5.59/4.26 tff(12425,plain,
% 5.59/4.26 (succ(s152, s153) <=> succ(s152, s153)),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12426,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 5.59/4.26 tff(12427,plain,
% 5.59/4.26 (succ(s152, s153)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12426, 12425])).
% 5.59/4.26 tff(12428,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12429,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12430,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 5.59/4.26 tff(12431,plain,
% 5.59/4.26 (trans(s152, s153)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12430, 12427, 57])).
% 5.59/4.26 tff(12432,plain,
% 5.59/4.26 (((~![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))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12433,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))),
% 5.59/4.26 inference(quant_inst,[status(thm)],[])).
% 5.59/4.26 tff(12434,plain,
% 5.59/4.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153)),
% 5.59/4.26 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 5.59/4.26 tff(12435,plain,
% 5.59/4.26 (node14(s152, s153)),
% 5.59/4.26 inference(unit_resolution,[status(thm)],[12434, 130, 12431])).
% 5.59/4.26 tff(12436,plain,
% 5.59/4.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12437,plain,
% 5.59/4.26 (((~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)))),
% 5.59/4.26 inference(rewrite,[status(thm)],[])).
% 5.59/4.26 tff(12438,plain,
% 5.59/4.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.59/4.26 inference(monotonicity,[status(thm)],[12437])).
% 5.59/4.27 tff(12439,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(transitivity,[status(thm)],[12438, 12436])).
% 5.59/4.27 tff(12440,plain,
% 5.59/4.27 ((~![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(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12441,plain,
% 5.59/4.27 ((~![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(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 5.59/4.27 tff(12442,plain,
% 5.59/4.27 (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~m_main_v_state2(s152, c_c2))),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12441, 826, 12435])).
% 5.59/4.27 tff(12443,plain,
% 5.59/4.27 (m_main_v_state2(s153, c_n2)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12442, 12424, 12379, 12416, 12412, 12404, 12387])).
% 5.59/4.27 tff(12444,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12445,plain,
% 5.59/4.27 ((~![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)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12446,plain,
% 5.59/4.27 ((~![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))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12445, 12444])).
% 5.59/4.27 tff(12447,plain,
% 5.59/4.27 (~m_main_v_state2(s153, c_c2)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12446, 716, 12443])).
% 5.59/4.27 tff(12448,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12449,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12450,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12449, 12448])).
% 5.59/4.27 tff(12451,plain,
% 5.59/4.27 (~node3(s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12450, 184, 12447])).
% 5.59/4.27 tff(12452,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12453,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12454,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 5.59/4.27 tff(12455,plain,
% 5.59/4.27 (~node1(s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12454, 249, 12400])).
% 5.59/4.27 tff(12456,plain,
% 5.59/4.27 (((~![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))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12457,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12458,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 5.59/4.27 tff(12459,plain,
% 5.59/4.27 (node18(s151, s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12458, 71, 12370])).
% 5.59/4.27 tff(12460,plain,
% 5.59/4.27 (((~![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(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))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12461,plain,
% 5.59/4.27 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12462,plain,
% 5.59/4.27 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 5.59/4.27 tff(12463,plain,
% 5.59/4.27 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_turn(s152, c_2)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12462, 625, 12459])).
% 5.59/4.27 tff(12464,plain,
% 5.59/4.27 (m_main_v_turn(s152, c_2)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12463, 12323, 12359])).
% 5.59/4.27 tff(12465,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12466,plain,
% 5.59/4.27 ((~![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)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12467,plain,
% 5.59/4.27 ((~![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))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 5.59/4.27 tff(12468,plain,
% 5.59/4.27 (~m_main_v_turn(s152, c_1)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12467, 322, 12464])).
% 5.59/4.27 tff(12469,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12470,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12471,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 5.59/4.27 tff(12472,plain,
% 5.59/4.27 (~node5(s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12471, 641, 12468])).
% 5.59/4.27 tff(12473,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12474,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12475,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 5.59/4.27 tff(12476,plain,
% 5.59/4.27 (~node2(s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12475, 652, 12400])).
% 5.59/4.27 tff(12477,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12478,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12479,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 5.59/4.27 tff(12480,plain,
% 5.59/4.27 (~node3(s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12479, 663, 12400])).
% 5.59/4.27 tff(12481,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12482,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12483,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 5.59/4.27 tff(12484,plain,
% 5.59/4.27 (~node4(s152)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12483, 162, 12420])).
% 5.59/4.27 tff(12485,plain,
% 5.59/4.27 (((~![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))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12486,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12487,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 5.59/4.27 tff(12488,plain,
% 5.59/4.27 (node7(s152, s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12487, 217, 12431])).
% 5.59/4.27 tff(12489,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12490,plain,
% 5.59/4.27 ((~![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(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12491,plain,
% 5.59/4.27 ((~![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(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12490, 12489])).
% 5.59/4.27 tff(12492,plain,
% 5.59/4.27 (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12491, 745, 12488])).
% 5.59/4.27 tff(12493,plain,
% 5.59/4.27 (node6(s152, s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12492, 12484, 12408, 12480, 12476, 12472, 12455])).
% 5.59/4.27 tff(12494,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12495,plain,
% 5.59/4.27 (((~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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12496,plain,
% 5.59/4.27 (((~![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))))),
% 5.59/4.27 inference(monotonicity,[status(thm)],[12495])).
% 5.59/4.27 tff(12497,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(transitivity,[status(thm)],[12496, 12494])).
% 5.59/4.27 tff(12498,plain,
% 5.59/4.27 ((~![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)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12499,plain,
% 5.59/4.27 ((~![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(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 5.59/4.27 tff(12500,plain,
% 5.59/4.27 (~m_main_v_state1(s153, c_n1)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12499, 936, 12400, 12493])).
% 5.59/4.27 tff(12501,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12502,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12503,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 5.59/4.27 tff(12504,plain,
% 5.59/4.27 (~node2(s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12503, 652, 12500])).
% 5.59/4.27 tff(12505,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12506,plain,
% 5.59/4.27 (((~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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12507,plain,
% 5.59/4.27 (((~![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))))),
% 5.59/4.27 inference(monotonicity,[status(thm)],[12506])).
% 5.59/4.27 tff(12508,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(transitivity,[status(thm)],[12507, 12505])).
% 5.59/4.27 tff(12509,plain,
% 5.59/4.27 ((~![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))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12510,plain,
% 5.59/4.27 ((~![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(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 5.59/4.27 tff(12511,plain,
% 5.59/4.27 (m_main_v_state1(s153, c_t1)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12510, 760, 12396, 12493])).
% 5.59/4.27 tff(12512,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12513,plain,
% 5.59/4.27 ((~![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)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12514,plain,
% 5.59/4.27 ((~![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))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12513, 12512])).
% 5.59/4.27 tff(12515,plain,
% 5.59/4.27 (~m_main_v_state2(s153, c_t2)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12514, 10, 12443])).
% 5.59/4.27 tff(12516,plain,
% 5.59/4.27 (((~![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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12517,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12518,plain,
% 5.59/4.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153))),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12517, 12516])).
% 5.59/4.27 tff(12519,plain,
% 5.59/4.27 (~node1(s153)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12518, 206, 12515])).
% 5.59/4.27 tff(12520,plain,
% 5.59/4.27 (succ(s153, s154) <=> succ(s153, s154)),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12521,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 5.59/4.27 tff(12522,plain,
% 5.59/4.27 (succ(s153, s154)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 5.59/4.27 tff(12523,plain,
% 5.59/4.27 (((~![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))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12524,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12525,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12524, 12523])).
% 5.59/4.27 tff(12526,plain,
% 5.59/4.27 (trans(s153, s154)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12525, 12522, 57])).
% 5.59/4.27 tff(12527,plain,
% 5.59/4.27 (((~![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))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12528,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12529,plain,
% 5.59/4.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154)),
% 5.59/4.27 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 5.59/4.27 tff(12530,plain,
% 5.59/4.27 (node7(s153, s154)),
% 5.59/4.27 inference(unit_resolution,[status(thm)],[12529, 217, 12526])).
% 5.59/4.27 tff(12531,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12532,plain,
% 5.59/4.27 (((~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)))),
% 5.59/4.27 inference(rewrite,[status(thm)],[])).
% 5.59/4.27 tff(12533,plain,
% 5.59/4.27 (((~![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(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))))),
% 5.59/4.27 inference(monotonicity,[status(thm)],[12532])).
% 5.59/4.27 tff(12534,plain,
% 5.59/4.27 (((~![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(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)))),
% 5.59/4.27 inference(transitivity,[status(thm)],[12533, 12531])).
% 5.59/4.27 tff(12535,plain,
% 5.59/4.27 ((~![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(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))),
% 5.59/4.27 inference(quant_inst,[status(thm)],[])).
% 5.59/4.27 tff(12536,plain,
% 5.59/4.27 ((~![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(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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12535, 12534])).
% 5.59/4.28 tff(12537,plain,
% 5.59/4.28 ((~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)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12536, 965, 12530])).
% 5.59/4.28 tff(12538,plain,
% 5.59/4.28 (m_main_v_state1(s154, c_c1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12537, 12519, 12443, 12511, 12504, 12451])).
% 5.59/4.28 tff(12539,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12540,plain,
% 5.59/4.28 ((~![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)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12541,plain,
% 5.59/4.28 ((~![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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 5.59/4.28 tff(12542,plain,
% 5.59/4.28 (~m_main_v_state1(s154, c_t1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12541, 289, 12538])).
% 5.59/4.28 tff(12543,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12544,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12545,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 5.59/4.28 tff(12546,plain,
% 5.59/4.28 (~node5(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12545, 300, 12542])).
% 5.59/4.28 tff(12547,plain,
% 5.59/4.28 (((~![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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12548,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12549,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 5.59/4.28 tff(12550,plain,
% 5.59/4.28 (node14(s153, s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12549, 130, 12526])).
% 5.59/4.28 tff(12551,plain,
% 5.59/4.28 (((~![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(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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12552,plain,
% 5.59/4.28 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12553,plain,
% 5.59/4.28 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12552, 12551])).
% 5.59/4.28 tff(12554,plain,
% 5.59/4.28 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state2(s154, c_t2)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12553, 893, 12550])).
% 5.59/4.28 tff(12555,plain,
% 5.59/4.28 (m_main_v_state2(s154, c_t2)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12554, 12511, 12443])).
% 5.59/4.28 tff(12556,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12557,plain,
% 5.59/4.28 ((~![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)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12558,plain,
% 5.59/4.28 ((~![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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 5.59/4.28 tff(12559,plain,
% 5.59/4.28 (~m_main_v_state2(s154, c_n2)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12558, 10, 12555])).
% 5.59/4.28 tff(12560,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12561,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12562,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 5.59/4.28 tff(12563,plain,
% 5.59/4.28 (~node4(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12562, 162, 12559])).
% 5.59/4.28 tff(12564,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12565,plain,
% 5.59/4.28 ((~![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)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12566,plain,
% 5.59/4.28 ((~![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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12565, 12564])).
% 5.59/4.28 tff(12567,plain,
% 5.59/4.28 (~m_main_v_state2(s154, c_c2)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12566, 173, 12555])).
% 5.59/4.28 tff(12568,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12569,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12570,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 5.59/4.28 tff(12571,plain,
% 5.59/4.28 (~node3(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12570, 184, 12567])).
% 5.59/4.28 tff(12572,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12573,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12574,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 5.59/4.28 tff(12575,plain,
% 5.59/4.28 (~node2(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12574, 195, 12559])).
% 5.59/4.28 tff(12576,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12577,plain,
% 5.59/4.28 ((~![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)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12578,plain,
% 5.59/4.28 ((~![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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 5.59/4.28 tff(12579,plain,
% 5.59/4.28 (~m_main_v_state1(s154, c_n1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12578, 449, 12538])).
% 5.59/4.28 tff(12580,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12581,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12582,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 5.59/4.28 tff(12583,plain,
% 5.59/4.28 (~node1(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12582, 249, 12579])).
% 5.59/4.28 tff(12584,plain,
% 5.59/4.28 (succ(s154, s155) <=> succ(s154, s155)),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12585,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 5.59/4.28 tff(12586,plain,
% 5.59/4.28 (succ(s154, s155)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 5.59/4.28 tff(12587,plain,
% 5.59/4.28 (((~![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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12588,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12589,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 5.59/4.28 tff(12590,plain,
% 5.59/4.28 (trans(s154, s155)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12589, 12586, 57])).
% 5.59/4.28 tff(12591,plain,
% 5.59/4.28 (((~![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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12592,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12593,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 5.59/4.28 tff(12594,plain,
% 5.59/4.28 (node7(s154, s155)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12593, 217, 12590])).
% 5.59/4.28 tff(12595,plain,
% 5.59/4.28 (((~![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(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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12596,plain,
% 5.59/4.28 (((~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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12597,plain,
% 5.59/4.28 (((~![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(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))))),
% 5.59/4.28 inference(monotonicity,[status(thm)],[12596])).
% 5.59/4.28 tff(12598,plain,
% 5.59/4.28 (((~![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(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)))),
% 5.59/4.28 inference(transitivity,[status(thm)],[12597, 12595])).
% 5.59/4.28 tff(12599,plain,
% 5.59/4.28 ((~![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(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12600,plain,
% 5.59/4.28 ((~![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(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12599, 12598])).
% 5.59/4.28 tff(12601,plain,
% 5.59/4.28 (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12600, 478, 12594])).
% 5.59/4.28 tff(12602,plain,
% 5.59/4.28 (m_main_v_state1(s155, c_n1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12601, 12583, 12538, 12575, 12571, 12563, 12546])).
% 5.59/4.28 tff(12603,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12604,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12605,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 5.59/4.28 tff(12606,plain,
% 5.59/4.28 (~node15(s153)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12605, 21, 12515])).
% 5.59/4.28 tff(12607,plain,
% 5.59/4.28 (((~![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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12608,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12609,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 5.59/4.28 tff(12610,plain,
% 5.59/4.28 (node18(s153, s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12609, 71, 12526])).
% 5.59/4.28 tff(12611,plain,
% 5.59/4.28 (((~![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(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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12612,plain,
% 5.59/4.28 (((~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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12613,plain,
% 5.59/4.28 (((~![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(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)))),
% 5.59/4.28 inference(monotonicity,[status(thm)],[12612])).
% 5.59/4.28 tff(12614,plain,
% 5.59/4.28 (((~![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(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))),
% 5.59/4.28 inference(transitivity,[status(thm)],[12613, 12611])).
% 5.59/4.28 tff(12615,plain,
% 5.59/4.28 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12616,plain,
% 5.59/4.28 ((~![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(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)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 5.59/4.28 tff(12617,plain,
% 5.59/4.28 (node15(s153) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12616, 863, 12610])).
% 5.59/4.28 tff(12618,plain,
% 5.59/4.28 (m_main_v_turn(s154, c_1)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12617, 12606, 12443, 12511])).
% 5.59/4.28 tff(12619,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12620,plain,
% 5.59/4.28 ((~![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)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12621,plain,
% 5.59/4.28 ((~![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))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 5.59/4.28 tff(12622,plain,
% 5.59/4.28 (~m_main_v_turn(s154, c_2)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12621, 322, 12618])).
% 5.59/4.28 tff(12623,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12624,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12625,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 5.59/4.28 tff(12626,plain,
% 5.59/4.28 (~node12(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12625, 350, 12622])).
% 5.59/4.28 tff(12627,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12628,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12629,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 5.59/4.28 tff(12630,plain,
% 5.59/4.28 (~node8(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12629, 383, 12559])).
% 5.59/4.28 tff(12631,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12632,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12633,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 5.59/4.28 tff(12634,plain,
% 5.59/4.28 (~node9(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12633, 311, 12559])).
% 5.59/4.28 tff(12635,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12636,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12637,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 5.59/4.28 tff(12638,plain,
% 5.59/4.28 (~node10(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12637, 372, 12559])).
% 5.59/4.28 tff(12639,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12640,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12641,plain,
% 5.59/4.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 5.59/4.28 tff(12642,plain,
% 5.59/4.28 (~node11(s154)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12641, 361, 12579])).
% 5.59/4.28 tff(12643,plain,
% 5.59/4.28 (((~![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))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12644,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12645,plain,
% 5.59/4.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155)),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 5.59/4.28 tff(12646,plain,
% 5.59/4.28 (node14(s154, s155)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12645, 130, 12590])).
% 5.59/4.28 tff(12647,plain,
% 5.59/4.28 (((~![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(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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12648,plain,
% 5.59/4.28 ((~![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(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 5.59/4.28 inference(quant_inst,[status(thm)],[])).
% 5.59/4.28 tff(12649,plain,
% 5.59/4.28 ((~![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(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155))),
% 5.59/4.28 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 5.59/4.28 tff(12650,plain,
% 5.59/4.28 (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12649, 401, 12646])).
% 5.59/4.28 tff(12651,plain,
% 5.59/4.28 (node13(s154, s155)),
% 5.59/4.28 inference(unit_resolution,[status(thm)],[12650, 12642, 12567, 12638, 12634, 12630, 12626])).
% 5.59/4.28 tff(12652,plain,
% 5.59/4.28 (((~![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(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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12653,plain,
% 5.59/4.28 (((~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)))),
% 5.59/4.28 inference(rewrite,[status(thm)],[])).
% 5.59/4.28 tff(12654,plain,
% 5.59/4.28 (((~![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))))),
% 5.59/4.28 inference(monotonicity,[status(thm)],[12653])).
% 5.59/4.28 tff(12655,plain,
% 5.59/4.28 (((~![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)))),
% 5.59/4.29 inference(transitivity,[status(thm)],[12654, 12652])).
% 5.59/4.29 tff(12656,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12657,plain,
% 5.59/4.29 ((~![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(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 5.59/4.29 tff(12658,plain,
% 5.59/4.29 (m_main_v_state2(s155, c_t2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12657, 563, 12555, 12651])).
% 5.59/4.29 tff(12659,plain,
% 5.59/4.29 (succ(s155, s156) <=> succ(s155, s156)),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12660,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 5.59/4.29 tff(12661,plain,
% 5.59/4.29 (succ(s155, s156)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 5.59/4.29 tff(12662,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12663,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12664,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 5.59/4.29 tff(12665,plain,
% 5.59/4.29 (trans(s155, s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12664, 12661, 57])).
% 5.59/4.29 tff(12666,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12667,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12668,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 5.59/4.29 tff(12669,plain,
% 5.59/4.29 (node7(s155, s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12668, 217, 12665])).
% 5.59/4.29 tff(12670,plain,
% 5.59/4.29 (((~![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(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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12671,plain,
% 5.59/4.29 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12672,plain,
% 5.59/4.29 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12671, 12670])).
% 5.59/4.29 tff(12673,plain,
% 5.59/4.29 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_state1(s156, c_t1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12672, 598, 12669])).
% 5.59/4.29 tff(12674,plain,
% 5.59/4.29 (m_main_v_state1(s156, c_t1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12673, 12658, 12602])).
% 5.59/4.29 tff(12675,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12676,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12677,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 5.59/4.29 tff(12678,plain,
% 5.59/4.29 (~m_main_v_state1(s156, c_n1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12677, 35, 12674])).
% 5.59/4.29 tff(12679,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12680,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12681,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 5.59/4.29 tff(12682,plain,
% 5.59/4.29 (~node1(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12681, 249, 12678])).
% 5.59/4.29 tff(12683,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12684,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12685,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 5.59/4.29 tff(12686,plain,
% 5.59/4.29 (node18(s155, s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12685, 71, 12665])).
% 5.59/4.29 tff(12687,plain,
% 5.59/4.29 (((~![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(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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12688,plain,
% 5.59/4.29 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12689,plain,
% 5.59/4.29 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 5.59/4.29 tff(12690,plain,
% 5.59/4.29 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_turn(s156, c_2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12689, 625, 12686])).
% 5.59/4.29 tff(12691,plain,
% 5.59/4.29 (m_main_v_turn(s156, c_2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12690, 12658, 12602])).
% 5.59/4.29 tff(12692,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12693,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12694,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 5.59/4.29 tff(12695,plain,
% 5.59/4.29 (~m_main_v_turn(s156, c_1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12694, 322, 12691])).
% 5.59/4.29 tff(12696,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12697,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12698,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12697, 12696])).
% 5.59/4.29 tff(12699,plain,
% 5.59/4.29 (~node5(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12698, 641, 12695])).
% 5.59/4.29 tff(12700,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12701,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12702,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 5.59/4.29 tff(12703,plain,
% 5.59/4.29 (~node2(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12702, 652, 12678])).
% 5.59/4.29 tff(12704,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12705,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12706,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12705, 12704])).
% 5.59/4.29 tff(12707,plain,
% 5.59/4.29 (~node3(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12706, 663, 12678])).
% 5.59/4.29 tff(12708,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12709,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12710,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12709, 12708])).
% 5.59/4.29 tff(12711,plain,
% 5.59/4.29 (~m_main_v_state1(s156, c_c1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12710, 289, 12674])).
% 5.59/4.29 tff(12712,plain,
% 5.59/4.29 (((~![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(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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12713,plain,
% 5.59/4.29 (((~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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12714,plain,
% 5.59/4.29 (((~![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))))),
% 5.59/4.29 inference(monotonicity,[status(thm)],[12713])).
% 5.59/4.29 tff(12715,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(transitivity,[status(thm)],[12714, 12712])).
% 5.59/4.29 tff(12716,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12717,plain,
% 5.59/4.29 ((~![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(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 5.59/4.29 tff(12718,plain,
% 5.59/4.29 (~m_main_v_state2(s155, c_n2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12717, 416, 12559, 12651])).
% 5.59/4.29 tff(12719,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12720,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12721,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12720, 12719])).
% 5.59/4.29 tff(12722,plain,
% 5.59/4.29 (~node9(s155)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12721, 311, 12718])).
% 5.59/4.29 tff(12723,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12724,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12725,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 5.59/4.29 tff(12726,plain,
% 5.59/4.29 (~node10(s155)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12725, 372, 12718])).
% 5.59/4.29 tff(12727,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12728,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12729,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 5.59/4.29 tff(12730,plain,
% 5.59/4.29 (~node8(s155)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12729, 383, 12718])).
% 5.59/4.29 tff(12731,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12732,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12733,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 5.59/4.29 tff(12734,plain,
% 5.59/4.29 (node14(s155, s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12733, 130, 12665])).
% 5.59/4.29 tff(12735,plain,
% 5.59/4.29 (((~![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(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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12736,plain,
% 5.59/4.29 ((~![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(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))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12737,plain,
% 5.59/4.29 ((~![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(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)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 5.59/4.29 tff(12738,plain,
% 5.59/4.29 ((~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)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12737, 704, 12734])).
% 5.59/4.29 tff(12739,plain,
% 5.59/4.29 (m_main_v_state2(s156, c_c2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12738, 12730, 12602, 12658, 12726, 12722])).
% 5.59/4.29 tff(12740,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12741,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12742,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 5.59/4.29 tff(12743,plain,
% 5.59/4.29 (~m_main_v_state2(s156, c_n2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12742, 716, 12739])).
% 5.59/4.29 tff(12744,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12745,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12746,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 5.59/4.29 tff(12747,plain,
% 5.59/4.29 (~node4(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12746, 162, 12743])).
% 5.59/4.29 tff(12748,plain,
% 5.59/4.29 (succ(s156, s157) <=> succ(s156, s157)),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12749,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 5.59/4.29 tff(12750,plain,
% 5.59/4.29 (succ(s156, s157)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 5.59/4.29 tff(12751,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12752,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12753,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 5.59/4.29 tff(12754,plain,
% 5.59/4.29 (trans(s156, s157)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12753, 12750, 57])).
% 5.59/4.29 tff(12755,plain,
% 5.59/4.29 (((~![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))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12756,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12757,plain,
% 5.59/4.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157)),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 5.59/4.29 tff(12758,plain,
% 5.59/4.29 (node7(s156, s157)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12757, 217, 12754])).
% 5.59/4.29 tff(12759,plain,
% 5.59/4.29 (((~![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(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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12760,plain,
% 5.59/4.29 ((~![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(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12761,plain,
% 5.59/4.29 ((~![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(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 5.59/4.29 tff(12762,plain,
% 5.59/4.29 (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12761, 745, 12758])).
% 5.59/4.29 tff(12763,plain,
% 5.59/4.29 (node6(s156, s157)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12762, 12747, 12711, 12707, 12703, 12699, 12682])).
% 5.59/4.29 tff(12764,plain,
% 5.59/4.29 (((~![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(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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12765,plain,
% 5.59/4.29 (((~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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12766,plain,
% 5.59/4.29 (((~![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))))),
% 5.59/4.29 inference(monotonicity,[status(thm)],[12765])).
% 5.59/4.29 tff(12767,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(transitivity,[status(thm)],[12766, 12764])).
% 5.59/4.29 tff(12768,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12769,plain,
% 5.59/4.29 ((~![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(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12768, 12767])).
% 5.59/4.29 tff(12770,plain,
% 5.59/4.29 (m_main_v_state1(s157, c_t1)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12769, 760, 12674, 12763])).
% 5.59/4.29 tff(12771,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12772,plain,
% 5.59/4.29 ((~![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)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12773,plain,
% 5.59/4.29 ((~![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))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 5.59/4.29 tff(12774,plain,
% 5.59/4.29 (~m_main_v_state2(s156, c_t2)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12773, 173, 12739])).
% 5.59/4.29 tff(12775,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12776,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12777,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 5.59/4.29 tff(12778,plain,
% 5.59/4.29 (~node12(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12777, 778, 12774])).
% 5.59/4.29 tff(12779,plain,
% 5.59/4.29 (((~![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)))),
% 5.59/4.29 inference(rewrite,[status(thm)],[])).
% 5.59/4.29 tff(12780,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 5.59/4.29 inference(quant_inst,[status(thm)],[])).
% 5.59/4.29 tff(12781,plain,
% 5.59/4.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156))),
% 5.59/4.29 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 5.59/4.29 tff(12782,plain,
% 5.59/4.29 (~node11(s156)),
% 5.59/4.29 inference(unit_resolution,[status(thm)],[12781, 361, 12678])).
% 5.59/4.29 tff(12783,plain,
% 5.59/4.29 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12784,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12785,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 5.66/4.30 tff(12786,plain,
% 5.66/4.30 (~node10(s156)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12785, 793, 12711])).
% 5.66/4.30 tff(12787,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12788,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12789,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 5.66/4.30 tff(12790,plain,
% 5.66/4.30 (~node9(s156)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12789, 804, 12678])).
% 5.66/4.30 tff(12791,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12792,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12793,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 5.66/4.30 tff(12794,plain,
% 5.66/4.30 (~node8(s156)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12793, 383, 12743])).
% 5.66/4.30 tff(12795,plain,
% 5.66/4.30 (((~![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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12796,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12797,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 5.66/4.30 tff(12798,plain,
% 5.66/4.30 (node14(s156, s157)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12797, 130, 12754])).
% 5.66/4.30 tff(12799,plain,
% 5.66/4.30 (((~![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(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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12800,plain,
% 5.66/4.30 (((~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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12801,plain,
% 5.66/4.30 (((~![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(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))))),
% 5.66/4.30 inference(monotonicity,[status(thm)],[12800])).
% 5.66/4.30 tff(12802,plain,
% 5.66/4.30 (((~![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(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)))),
% 5.66/4.30 inference(transitivity,[status(thm)],[12801, 12799])).
% 5.66/4.30 tff(12803,plain,
% 5.66/4.30 ((~![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(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12804,plain,
% 5.66/4.30 ((~![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(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 5.66/4.30 tff(12805,plain,
% 5.66/4.30 (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~m_main_v_state2(s156, c_c2))),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12804, 826, 12798])).
% 5.66/4.30 tff(12806,plain,
% 5.66/4.30 (m_main_v_state2(s157, c_n2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12805, 12794, 12739, 12790, 12786, 12782, 12778])).
% 5.66/4.30 tff(12807,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12808,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12809,plain,
% 5.66/4.30 ((~![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))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 5.66/4.30 tff(12810,plain,
% 5.66/4.30 (~m_main_v_state2(s157, c_t2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12809, 10, 12806])).
% 5.66/4.30 tff(12811,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12812,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12813,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 5.66/4.30 tff(12814,plain,
% 5.66/4.30 (~node15(s157)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12813, 21, 12810])).
% 5.66/4.30 tff(12815,plain,
% 5.66/4.30 (succ(s157, s158) <=> succ(s157, s158)),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12816,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 5.66/4.30 tff(12817,plain,
% 5.66/4.30 (succ(s157, s158)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 5.66/4.30 tff(12818,plain,
% 5.66/4.30 (((~![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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12819,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12820,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 5.66/4.30 tff(12821,plain,
% 5.66/4.30 (trans(s157, s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12820, 12817, 57])).
% 5.66/4.30 tff(12822,plain,
% 5.66/4.30 (((~![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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12823,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12824,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 5.66/4.30 tff(12825,plain,
% 5.66/4.30 (node18(s157, s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12824, 71, 12821])).
% 5.66/4.30 tff(12826,plain,
% 5.66/4.30 (((~![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(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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12827,plain,
% 5.66/4.30 (((~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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12828,plain,
% 5.66/4.30 (((~![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(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)))),
% 5.66/4.30 inference(monotonicity,[status(thm)],[12827])).
% 5.66/4.30 tff(12829,plain,
% 5.66/4.30 (((~![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(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))),
% 5.66/4.30 inference(transitivity,[status(thm)],[12828, 12826])).
% 5.66/4.30 tff(12830,plain,
% 5.66/4.30 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12831,plain,
% 5.66/4.30 ((~![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(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)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 5.66/4.30 tff(12832,plain,
% 5.66/4.30 (node15(s157) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12831, 863, 12825])).
% 5.66/4.30 tff(12833,plain,
% 5.66/4.30 (m_main_v_turn(s158, c_1)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12832, 12814, 12806, 12770])).
% 5.66/4.30 tff(12834,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12835,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12836,plain,
% 5.66/4.30 ((~![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))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 5.66/4.30 tff(12837,plain,
% 5.66/4.30 (~m_main_v_turn(s158, c_2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12836, 322, 12833])).
% 5.66/4.30 tff(12838,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12839,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12840,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 5.66/4.30 tff(12841,plain,
% 5.66/4.30 (~node12(s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12840, 350, 12837])).
% 5.66/4.30 tff(12842,plain,
% 5.66/4.30 (((~![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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12843,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12844,plain,
% 5.66/4.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 5.66/4.30 tff(12845,plain,
% 5.66/4.30 (node14(s157, s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12844, 130, 12821])).
% 5.66/4.30 tff(12846,plain,
% 5.66/4.30 (((~![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(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))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12847,plain,
% 5.66/4.30 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12848,plain,
% 5.66/4.30 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2)),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12847, 12846])).
% 5.66/4.30 tff(12849,plain,
% 5.66/4.30 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state2(s158, c_t2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12848, 893, 12845])).
% 5.66/4.30 tff(12850,plain,
% 5.66/4.30 (m_main_v_state2(s158, c_t2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12849, 12770, 12806])).
% 5.66/4.30 tff(12851,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12852,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12853,plain,
% 5.66/4.30 ((~![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))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12852, 12851])).
% 5.66/4.30 tff(12854,plain,
% 5.66/4.30 (~m_main_v_state2(s158, c_n2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12853, 10, 12850])).
% 5.66/4.30 tff(12855,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12856,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12857,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 5.66/4.30 tff(12858,plain,
% 5.66/4.30 (~node8(s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12857, 383, 12854])).
% 5.66/4.30 tff(12859,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12860,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12861,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12860, 12859])).
% 5.66/4.30 tff(12862,plain,
% 5.66/4.30 (~node9(s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12861, 311, 12854])).
% 5.66/4.30 tff(12863,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12864,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12865,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12864, 12863])).
% 5.66/4.30 tff(12866,plain,
% 5.66/4.30 (~node10(s158)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12865, 372, 12854])).
% 5.66/4.30 tff(12867,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12868,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12869,plain,
% 5.66/4.30 ((~![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))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 5.66/4.30 tff(12870,plain,
% 5.66/4.30 (~m_main_v_state2(s158, c_c2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12869, 173, 12850])).
% 5.66/4.30 tff(12871,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12872,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12873,plain,
% 5.66/4.30 ((~![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))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 5.66/4.30 tff(12874,plain,
% 5.66/4.30 (~m_main_v_state2(s157, c_c2)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12873, 716, 12806])).
% 5.66/4.30 tff(12875,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12876,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.30 tff(12877,plain,
% 5.66/4.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157))),
% 5.66/4.30 inference(modus_ponens,[status(thm)],[12876, 12875])).
% 5.66/4.30 tff(12878,plain,
% 5.66/4.30 (~node3(s157)),
% 5.66/4.30 inference(unit_resolution,[status(thm)],[12877, 184, 12874])).
% 5.66/4.30 tff(12879,plain,
% 5.66/4.30 (((~![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(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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12880,plain,
% 5.66/4.30 (((~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)))),
% 5.66/4.30 inference(rewrite,[status(thm)],[])).
% 5.66/4.30 tff(12881,plain,
% 5.66/4.30 (((~![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))))),
% 5.66/4.30 inference(monotonicity,[status(thm)],[12880])).
% 5.66/4.30 tff(12882,plain,
% 5.66/4.30 (((~![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)))),
% 5.66/4.30 inference(transitivity,[status(thm)],[12881, 12879])).
% 5.66/4.30 tff(12883,plain,
% 5.66/4.30 ((~![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)))),
% 5.66/4.30 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12884,plain,
% 5.66/4.31 ((~![V: $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))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 5.66/4.31 tff(12885,plain,
% 5.66/4.31 (~m_main_v_state1(s157, c_n1)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12884, 936, 12678, 12763])).
% 5.66/4.31 tff(12886,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12887,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12888,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 5.66/4.31 tff(12889,plain,
% 5.66/4.31 (~node2(s157)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12888, 652, 12885])).
% 5.66/4.31 tff(12890,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12891,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12892,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 5.66/4.31 tff(12893,plain,
% 5.66/4.31 (~node1(s157)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12892, 206, 12810])).
% 5.66/4.31 tff(12894,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12895,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12896,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 5.66/4.31 tff(12897,plain,
% 5.66/4.31 (node7(s157, s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12896, 217, 12821])).
% 5.66/4.31 tff(12898,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12899,plain,
% 5.66/4.31 (((~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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12900,plain,
% 5.66/4.31 (((~![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(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))))),
% 5.66/4.31 inference(monotonicity,[status(thm)],[12899])).
% 5.66/4.31 tff(12901,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(transitivity,[status(thm)],[12900, 12898])).
% 5.66/4.31 tff(12902,plain,
% 5.66/4.31 ((~![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(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))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12903,plain,
% 5.66/4.31 ((~![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(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))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 5.66/4.31 tff(12904,plain,
% 5.66/4.31 ((~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)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12903, 965, 12897])).
% 5.66/4.31 tff(12905,plain,
% 5.66/4.31 (m_main_v_state1(s158, c_c1)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12904, 12893, 12806, 12770, 12889, 12878])).
% 5.66/4.31 tff(12906,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12907,plain,
% 5.66/4.31 ((~![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)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12908,plain,
% 5.66/4.31 ((~![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))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 5.66/4.31 tff(12909,plain,
% 5.66/4.31 (~m_main_v_state1(s158, c_n1)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12908, 449, 12905])).
% 5.66/4.31 tff(12910,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12911,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12912,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 5.66/4.31 tff(12913,plain,
% 5.66/4.31 (~node11(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12912, 361, 12909])).
% 5.66/4.31 tff(12914,plain,
% 5.66/4.31 (succ(s158, s159) <=> succ(s158, s159)),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12915,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 5.66/4.31 tff(12916,plain,
% 5.66/4.31 (succ(s158, s159)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12915, 12914])).
% 5.66/4.31 tff(12917,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12918,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12919,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 5.66/4.31 tff(12920,plain,
% 5.66/4.31 (trans(s158, s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12919, 12916, 57])).
% 5.66/4.31 tff(12921,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12922,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12923,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 5.66/4.31 tff(12924,plain,
% 5.66/4.31 (node14(s158, s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12923, 130, 12920])).
% 5.66/4.31 tff(12925,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12926,plain,
% 5.66/4.31 ((~![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(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12927,plain,
% 5.66/4.31 ((~![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(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 5.66/4.31 tff(12928,plain,
% 5.66/4.31 (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12927, 401, 12924])).
% 5.66/4.31 tff(12929,plain,
% 5.66/4.31 (node13(s158, s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12928, 12913, 12870, 12866, 12862, 12858, 12841])).
% 5.66/4.31 tff(12930,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12931,plain,
% 5.66/4.31 (((~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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12932,plain,
% 5.66/4.31 (((~![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))))),
% 5.66/4.31 inference(monotonicity,[status(thm)],[12931])).
% 5.66/4.31 tff(12933,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(transitivity,[status(thm)],[12932, 12930])).
% 5.66/4.31 tff(12934,plain,
% 5.66/4.31 ((~![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)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12935,plain,
% 5.66/4.31 ((~![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(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 5.66/4.31 tff(12936,plain,
% 5.66/4.31 (~m_main_v_state2(s159, c_n2)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12935, 416, 12854, 12929])).
% 5.66/4.31 tff(12937,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12938,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12939,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 5.66/4.31 tff(12940,plain,
% 5.66/4.31 (~node9(s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12939, 311, 12936])).
% 5.66/4.31 tff(12941,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12942,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12943,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 5.66/4.31 tff(12944,plain,
% 5.66/4.31 (~node10(s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12943, 372, 12936])).
% 5.66/4.31 tff(12945,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12946,plain,
% 5.66/4.31 (((~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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12947,plain,
% 5.66/4.31 (((~![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))))),
% 5.66/4.31 inference(monotonicity,[status(thm)],[12946])).
% 5.66/4.31 tff(12948,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(transitivity,[status(thm)],[12947, 12945])).
% 5.66/4.31 tff(12949,plain,
% 5.66/4.31 ((~![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))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12950,plain,
% 5.66/4.31 ((~![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(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12949, 12948])).
% 5.66/4.31 tff(12951,plain,
% 5.66/4.31 (m_main_v_state2(s159, c_t2)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12950, 563, 12850, 12929])).
% 5.66/4.31 tff(12952,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12953,plain,
% 5.66/4.31 ((~![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)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12954,plain,
% 5.66/4.31 ((~![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))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 5.66/4.31 tff(12955,plain,
% 5.66/4.31 (~m_main_v_state1(s158, c_t1)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12954, 289, 12905])).
% 5.66/4.31 tff(12956,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12957,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12958,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 5.66/4.31 tff(12959,plain,
% 5.66/4.31 (~node5(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12958, 300, 12955])).
% 5.66/4.31 tff(12960,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12961,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12962,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 5.66/4.31 tff(12963,plain,
% 5.66/4.31 (~node4(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12962, 162, 12854])).
% 5.66/4.31 tff(12964,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12965,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12966,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 5.66/4.31 tff(12967,plain,
% 5.66/4.31 (~node3(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12966, 184, 12870])).
% 5.66/4.31 tff(12968,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12969,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12970,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 5.66/4.31 tff(12971,plain,
% 5.66/4.31 (~node2(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12970, 195, 12854])).
% 5.66/4.31 tff(12972,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12973,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12974,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 5.66/4.31 tff(12975,plain,
% 5.66/4.31 (~node1(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12974, 249, 12909])).
% 5.66/4.31 tff(12976,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12977,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12978,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 5.66/4.31 tff(12979,plain,
% 5.66/4.31 (node7(s158, s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12978, 217, 12920])).
% 5.66/4.31 tff(12980,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12981,plain,
% 5.66/4.31 (((~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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12982,plain,
% 5.66/4.31 (((~![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(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))))),
% 5.66/4.31 inference(monotonicity,[status(thm)],[12981])).
% 5.66/4.31 tff(12983,plain,
% 5.66/4.31 (((~![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(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)))),
% 5.66/4.31 inference(transitivity,[status(thm)],[12982, 12980])).
% 5.66/4.31 tff(12984,plain,
% 5.66/4.31 ((~![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(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12985,plain,
% 5.66/4.31 ((~![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(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12984, 12983])).
% 5.66/4.31 tff(12986,plain,
% 5.66/4.31 (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12985, 478, 12979])).
% 5.66/4.31 tff(12987,plain,
% 5.66/4.31 (m_main_v_state1(s159, c_n1)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12986, 12975, 12905, 12971, 12967, 12963, 12959])).
% 5.66/4.31 tff(12988,plain,
% 5.66/4.31 (((~![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)))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12989,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12990,plain,
% 5.66/4.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159))),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 5.66/4.31 tff(12991,plain,
% 5.66/4.31 (~node8(s159)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12990, 383, 12936])).
% 5.66/4.31 tff(12992,plain,
% 5.66/4.31 (succ(s159, s160) <=> succ(s159, s160)),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12993,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 5.66/4.31 tff(12994,plain,
% 5.66/4.31 (succ(s159, s160)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 5.66/4.31 tff(12995,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(12996,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(12997,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 5.66/4.31 inference(modus_ponens,[status(thm)],[12996, 12995])).
% 5.66/4.31 tff(12998,plain,
% 5.66/4.31 (trans(s159, s160)),
% 5.66/4.31 inference(unit_resolution,[status(thm)],[12997, 12994, 57])).
% 5.66/4.31 tff(12999,plain,
% 5.66/4.31 (((~![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))),
% 5.66/4.31 inference(rewrite,[status(thm)],[])).
% 5.66/4.31 tff(13000,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))),
% 5.66/4.31 inference(quant_inst,[status(thm)],[])).
% 5.66/4.31 tff(13001,plain,
% 5.66/4.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 5.66/4.32 tff(13002,plain,
% 5.66/4.32 (node14(s159, s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13001, 130, 12998])).
% 5.66/4.32 tff(13003,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13004,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13005,plain,
% 5.66/4.32 ((~![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)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 5.66/4.32 tff(13006,plain,
% 5.66/4.32 ((~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)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13005, 704, 13002])).
% 5.66/4.32 tff(13007,plain,
% 5.66/4.32 (m_main_v_state2(s160, c_c2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13006, 12991, 12987, 12951, 12944, 12940])).
% 5.66/4.32 tff(13008,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13009,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13010,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13009, 13008])).
% 5.66/4.32 tff(13011,plain,
% 5.66/4.32 (~m_main_v_state2(s160, c_t2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13010, 173, 13007])).
% 5.66/4.32 tff(13012,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13013,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13014,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 5.66/4.32 tff(13015,plain,
% 5.66/4.32 (~node12(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13014, 778, 13011])).
% 5.66/4.32 tff(13016,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13017,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13018,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 5.66/4.32 tff(13019,plain,
% 5.66/4.32 (node7(s159, s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13018, 217, 12998])).
% 5.66/4.32 tff(13020,plain,
% 5.66/4.32 (((~![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(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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13021,plain,
% 5.66/4.32 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13022,plain,
% 5.66/4.32 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 5.66/4.32 tff(13023,plain,
% 5.66/4.32 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_state1(s160, c_t1)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13022, 598, 13019])).
% 5.66/4.32 tff(13024,plain,
% 5.66/4.32 (m_main_v_state1(s160, c_t1)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13023, 12951, 12987])).
% 5.66/4.32 tff(13025,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13026,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13027,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13026, 13025])).
% 5.66/4.32 tff(13028,plain,
% 5.66/4.32 (~m_main_v_state1(s160, c_n1)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13027, 35, 13024])).
% 5.66/4.32 tff(13029,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13030,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13031,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 5.66/4.32 tff(13032,plain,
% 5.66/4.32 (~node11(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13031, 361, 13028])).
% 5.66/4.32 tff(13033,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13034,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13035,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 5.66/4.32 tff(13036,plain,
% 5.66/4.32 (~m_main_v_state1(s160, c_c1)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13035, 289, 13024])).
% 5.66/4.32 tff(13037,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13038,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13039,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13038, 13037])).
% 5.66/4.32 tff(13040,plain,
% 5.66/4.32 (~node10(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13039, 793, 13036])).
% 5.66/4.32 tff(13041,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13042,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13043,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 5.66/4.32 tff(13044,plain,
% 5.66/4.32 (~node9(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13043, 804, 13028])).
% 5.66/4.32 tff(13045,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13046,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13047,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 5.66/4.32 tff(13048,plain,
% 5.66/4.32 (~m_main_v_state2(s160, c_n2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13047, 716, 13007])).
% 5.66/4.32 tff(13049,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13050,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13051,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 5.66/4.32 tff(13052,plain,
% 5.66/4.32 (~node8(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13051, 383, 13048])).
% 5.66/4.32 tff(13053,plain,
% 5.66/4.32 (succ(s160, s161) <=> succ(s160, s161)),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13054,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 5.66/4.32 tff(13055,plain,
% 5.66/4.32 (succ(s160, s161)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 5.66/4.32 tff(13056,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13057,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13058,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 5.66/4.32 tff(13059,plain,
% 5.66/4.32 (trans(s160, s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13058, 13055, 57])).
% 5.66/4.32 tff(13060,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13061,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13062,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13061, 13060])).
% 5.66/4.32 tff(13063,plain,
% 5.66/4.32 (node14(s160, s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13062, 130, 13059])).
% 5.66/4.32 tff(13064,plain,
% 5.66/4.32 (((~![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(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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13065,plain,
% 5.66/4.32 (((~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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13066,plain,
% 5.66/4.32 (((~![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(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))))),
% 5.66/4.32 inference(monotonicity,[status(thm)],[13065])).
% 5.66/4.32 tff(13067,plain,
% 5.66/4.32 (((~![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(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)))),
% 5.66/4.32 inference(transitivity,[status(thm)],[13066, 13064])).
% 5.66/4.32 tff(13068,plain,
% 5.66/4.32 ((~![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(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13069,plain,
% 5.66/4.32 ((~![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(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13068, 13067])).
% 5.66/4.32 tff(13070,plain,
% 5.66/4.32 (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~m_main_v_state2(s160, c_c2))),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13069, 826, 13063])).
% 5.66/4.32 tff(13071,plain,
% 5.66/4.32 (m_main_v_state2(s161, c_n2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13070, 13052, 13007, 13044, 13040, 13032, 13015])).
% 5.66/4.32 tff(13072,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13073,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13074,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 5.66/4.32 tff(13075,plain,
% 5.66/4.32 (~m_main_v_state2(s161, c_c2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13074, 716, 13071])).
% 5.66/4.32 tff(13076,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13077,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13078,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 5.66/4.32 tff(13079,plain,
% 5.66/4.32 (~node3(s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13078, 184, 13075])).
% 5.66/4.32 tff(13080,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13081,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13082,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 5.66/4.32 tff(13083,plain,
% 5.66/4.32 (~node1(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13082, 249, 13028])).
% 5.66/4.32 tff(13084,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13085,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13086,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 5.66/4.32 tff(13087,plain,
% 5.66/4.32 (node18(s159, s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13086, 71, 12998])).
% 5.66/4.32 tff(13088,plain,
% 5.66/4.32 (((~![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(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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13089,plain,
% 5.66/4.32 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13090,plain,
% 5.66/4.32 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 5.66/4.32 tff(13091,plain,
% 5.66/4.32 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_turn(s160, c_2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13090, 625, 13087])).
% 5.66/4.32 tff(13092,plain,
% 5.66/4.32 (m_main_v_turn(s160, c_2)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13091, 12951, 12987])).
% 5.66/4.32 tff(13093,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13094,plain,
% 5.66/4.32 ((~![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)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13095,plain,
% 5.66/4.32 ((~![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))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 5.66/4.32 tff(13096,plain,
% 5.66/4.32 (~m_main_v_turn(s160, c_1)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13095, 322, 13092])).
% 5.66/4.32 tff(13097,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13098,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13099,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13098, 13097])).
% 5.66/4.32 tff(13100,plain,
% 5.66/4.32 (~node5(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13099, 641, 13096])).
% 5.66/4.32 tff(13101,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13102,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13103,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 5.66/4.32 tff(13104,plain,
% 5.66/4.32 (~node2(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13103, 652, 13028])).
% 5.66/4.32 tff(13105,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13106,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13107,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 5.66/4.32 tff(13108,plain,
% 5.66/4.32 (~node3(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13107, 663, 13028])).
% 5.66/4.32 tff(13109,plain,
% 5.66/4.32 (((~![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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13110,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13111,plain,
% 5.66/4.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 5.66/4.32 tff(13112,plain,
% 5.66/4.32 (~node4(s160)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13111, 162, 13048])).
% 5.66/4.32 tff(13113,plain,
% 5.66/4.32 (((~![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))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13114,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13115,plain,
% 5.66/4.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161)),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 5.66/4.32 tff(13116,plain,
% 5.66/4.32 (node7(s160, s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13115, 217, 13059])).
% 5.66/4.32 tff(13117,plain,
% 5.66/4.32 (((~![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(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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13118,plain,
% 5.66/4.32 ((~![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(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 5.66/4.32 inference(quant_inst,[status(thm)],[])).
% 5.66/4.32 tff(13119,plain,
% 5.66/4.32 ((~![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(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161))),
% 5.66/4.32 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 5.66/4.32 tff(13120,plain,
% 5.66/4.32 (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13119, 745, 13116])).
% 5.66/4.32 tff(13121,plain,
% 5.66/4.32 (node6(s160, s161)),
% 5.66/4.32 inference(unit_resolution,[status(thm)],[13120, 13112, 13036, 13108, 13104, 13100, 13083])).
% 5.66/4.32 tff(13122,plain,
% 5.66/4.32 (((~![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(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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.32 tff(13123,plain,
% 5.66/4.32 (((~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)))),
% 5.66/4.32 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13124,plain,
% 5.66/4.33 (((~![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))))),
% 5.66/4.33 inference(monotonicity,[status(thm)],[13123])).
% 5.66/4.33 tff(13125,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(transitivity,[status(thm)],[13124, 13122])).
% 5.66/4.33 tff(13126,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13127,plain,
% 5.66/4.33 ((~![V: $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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 5.66/4.33 tff(13128,plain,
% 5.66/4.33 (~m_main_v_state1(s161, c_n1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13127, 936, 13028, 13121])).
% 5.66/4.33 tff(13129,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13130,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13131,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 5.66/4.33 tff(13132,plain,
% 5.66/4.33 (~node2(s161)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13131, 652, 13128])).
% 5.66/4.33 tff(13133,plain,
% 5.66/4.33 (((~![V: $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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13134,plain,
% 5.66/4.33 (((~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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13135,plain,
% 5.66/4.33 (((~![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))))),
% 5.66/4.33 inference(monotonicity,[status(thm)],[13134])).
% 5.66/4.33 tff(13136,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(transitivity,[status(thm)],[13135, 13133])).
% 5.66/4.33 tff(13137,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13138,plain,
% 5.66/4.33 ((~![V: $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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 5.66/4.33 tff(13139,plain,
% 5.66/4.33 (m_main_v_state1(s161, c_t1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13138, 760, 13024, 13121])).
% 5.66/4.33 tff(13140,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13141,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13142,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13141, 13140])).
% 5.66/4.33 tff(13143,plain,
% 5.66/4.33 (~m_main_v_state2(s161, c_t2)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13142, 10, 13071])).
% 5.66/4.33 tff(13144,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13145,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13146,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 5.66/4.33 tff(13147,plain,
% 5.66/4.33 (~node1(s161)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13146, 206, 13143])).
% 5.66/4.33 tff(13148,plain,
% 5.66/4.33 (succ(s161, s162) <=> succ(s161, s162)),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13149,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 5.66/4.33 tff(13150,plain,
% 5.66/4.33 (succ(s161, s162)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 5.66/4.33 tff(13151,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13152,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13153,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 5.66/4.33 tff(13154,plain,
% 5.66/4.33 (trans(s161, s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13153, 13150, 57])).
% 5.66/4.33 tff(13155,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13156,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13157,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 5.66/4.33 tff(13158,plain,
% 5.66/4.33 (node7(s161, s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13157, 217, 13154])).
% 5.66/4.33 tff(13159,plain,
% 5.66/4.33 (((~![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(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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13160,plain,
% 5.66/4.33 (((~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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13161,plain,
% 5.66/4.33 (((~![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(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))))),
% 5.66/4.33 inference(monotonicity,[status(thm)],[13160])).
% 5.66/4.33 tff(13162,plain,
% 5.66/4.33 (((~![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(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)))),
% 5.66/4.33 inference(transitivity,[status(thm)],[13161, 13159])).
% 5.66/4.33 tff(13163,plain,
% 5.66/4.33 ((~![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(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))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13164,plain,
% 5.66/4.33 ((~![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(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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13163, 13162])).
% 5.66/4.33 tff(13165,plain,
% 5.66/4.33 ((~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)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13164, 965, 13158])).
% 5.66/4.33 tff(13166,plain,
% 5.66/4.33 (m_main_v_state1(s162, c_c1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13165, 13147, 13071, 13139, 13132, 13079])).
% 5.66/4.33 tff(13167,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13168,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13169,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 5.66/4.33 tff(13170,plain,
% 5.66/4.33 (~m_main_v_state1(s162, c_t1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13169, 289, 13166])).
% 5.66/4.33 tff(13171,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13172,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13173,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13172, 13171])).
% 5.66/4.33 tff(13174,plain,
% 5.66/4.33 (~node5(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13173, 300, 13170])).
% 5.66/4.33 tff(13175,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13176,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13177,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 5.66/4.33 tff(13178,plain,
% 5.66/4.33 (node14(s161, s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13177, 130, 13154])).
% 5.66/4.33 tff(13179,plain,
% 5.66/4.33 (((~![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(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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13180,plain,
% 5.66/4.33 ((~![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(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13181,plain,
% 5.66/4.33 ((~![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(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13180, 13179])).
% 5.66/4.33 tff(13182,plain,
% 5.66/4.33 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state2(s162, c_t2)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13181, 893, 13178])).
% 5.66/4.33 tff(13183,plain,
% 5.66/4.33 (m_main_v_state2(s162, c_t2)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13182, 13139, 13071])).
% 5.66/4.33 tff(13184,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13185,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13186,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 5.66/4.33 tff(13187,plain,
% 5.66/4.33 (~m_main_v_state2(s162, c_n2)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13186, 10, 13183])).
% 5.66/4.33 tff(13188,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13189,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13190,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 5.66/4.33 tff(13191,plain,
% 5.66/4.33 (~node4(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13190, 162, 13187])).
% 5.66/4.33 tff(13192,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13193,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13194,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 5.66/4.33 tff(13195,plain,
% 5.66/4.33 (~m_main_v_state2(s162, c_c2)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13194, 173, 13183])).
% 5.66/4.33 tff(13196,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13197,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13198,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 5.66/4.33 tff(13199,plain,
% 5.66/4.33 (~node3(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13198, 184, 13195])).
% 5.66/4.33 tff(13200,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13201,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13202,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 5.66/4.33 tff(13203,plain,
% 5.66/4.33 (~node2(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13202, 195, 13187])).
% 5.66/4.33 tff(13204,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13205,plain,
% 5.66/4.33 ((~![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)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13206,plain,
% 5.66/4.33 ((~![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))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 5.66/4.33 tff(13207,plain,
% 5.66/4.33 (~m_main_v_state1(s162, c_n1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13206, 449, 13166])).
% 5.66/4.33 tff(13208,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13209,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13210,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13209, 13208])).
% 5.66/4.33 tff(13211,plain,
% 5.66/4.33 (~node1(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13210, 249, 13207])).
% 5.66/4.33 tff(13212,plain,
% 5.66/4.33 (succ(s162, s163) <=> succ(s162, s163)),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13213,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 5.66/4.33 tff(13214,plain,
% 5.66/4.33 (succ(s162, s163)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 5.66/4.33 tff(13215,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13216,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13217,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 5.66/4.33 tff(13218,plain,
% 5.66/4.33 (trans(s162, s163)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13217, 13214, 57])).
% 5.66/4.33 tff(13219,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13220,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13221,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 5.66/4.33 tff(13222,plain,
% 5.66/4.33 (node7(s162, s163)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13221, 217, 13218])).
% 5.66/4.33 tff(13223,plain,
% 5.66/4.33 (((~![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(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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13224,plain,
% 5.66/4.33 (((~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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13225,plain,
% 5.66/4.33 (((~![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(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))))),
% 5.66/4.33 inference(monotonicity,[status(thm)],[13224])).
% 5.66/4.33 tff(13226,plain,
% 5.66/4.33 (((~![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(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)))),
% 5.66/4.33 inference(transitivity,[status(thm)],[13225, 13223])).
% 5.66/4.33 tff(13227,plain,
% 5.66/4.33 ((~![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(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13228,plain,
% 5.66/4.33 ((~![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(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13227, 13226])).
% 5.66/4.33 tff(13229,plain,
% 5.66/4.33 (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13228, 478, 13222])).
% 5.66/4.33 tff(13230,plain,
% 5.66/4.33 (m_main_v_state1(s163, c_n1)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13229, 13211, 13166, 13203, 13199, 13191, 13174])).
% 5.66/4.33 tff(13231,plain,
% 5.66/4.33 (((~![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)))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13232,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13233,plain,
% 5.66/4.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161))),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 5.66/4.33 tff(13234,plain,
% 5.66/4.33 (~node15(s161)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13233, 21, 13143])).
% 5.66/4.33 tff(13235,plain,
% 5.66/4.33 (((~![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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.33 tff(13236,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))),
% 5.66/4.33 inference(quant_inst,[status(thm)],[])).
% 5.66/4.33 tff(13237,plain,
% 5.66/4.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162)),
% 5.66/4.33 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 5.66/4.33 tff(13238,plain,
% 5.66/4.33 (node18(s161, s162)),
% 5.66/4.33 inference(unit_resolution,[status(thm)],[13237, 71, 13154])).
% 5.66/4.33 tff(13239,plain,
% 5.66/4.33 (((~![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(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))),
% 5.66/4.33 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13240,plain,
% 5.66/4.34 (((~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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13241,plain,
% 5.66/4.34 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.66/4.34 inference(monotonicity,[status(thm)],[13240])).
% 5.66/4.34 tff(13242,plain,
% 5.66/4.34 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.66/4.34 inference(transitivity,[status(thm)],[13241, 13239])).
% 5.66/4.34 tff(13243,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13244,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 5.66/4.34 tff(13245,plain,
% 5.66/4.34 (node15(s161) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13244, 863, 13238])).
% 5.66/4.34 tff(13246,plain,
% 5.66/4.34 (m_main_v_turn(s162, c_1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13245, 13234, 13071, 13139])).
% 5.66/4.34 tff(13247,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13248,plain,
% 5.66/4.34 ((~![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)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13249,plain,
% 5.66/4.34 ((~![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))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 5.66/4.34 tff(13250,plain,
% 5.66/4.34 (~m_main_v_turn(s162, c_2)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13249, 322, 13246])).
% 5.66/4.34 tff(13251,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13252,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13253,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 5.66/4.34 tff(13254,plain,
% 5.66/4.34 (~node12(s162)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13253, 350, 13250])).
% 5.66/4.34 tff(13255,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13256,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13257,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 5.66/4.34 tff(13258,plain,
% 5.66/4.34 (~node8(s162)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13257, 383, 13187])).
% 5.66/4.34 tff(13259,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13260,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13261,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 5.66/4.34 tff(13262,plain,
% 5.66/4.34 (~node9(s162)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13261, 311, 13187])).
% 5.66/4.34 tff(13263,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13264,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13265,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 5.66/4.34 tff(13266,plain,
% 5.66/4.34 (~node10(s162)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13265, 372, 13187])).
% 5.66/4.34 tff(13267,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13268,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13269,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 5.66/4.34 tff(13270,plain,
% 5.66/4.34 (~node11(s162)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13269, 361, 13207])).
% 5.66/4.34 tff(13271,plain,
% 5.66/4.34 (((~![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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13272,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13273,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 5.66/4.34 tff(13274,plain,
% 5.66/4.34 (node14(s162, s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13273, 130, 13218])).
% 5.66/4.34 tff(13275,plain,
% 5.66/4.34 (((~![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(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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13276,plain,
% 5.66/4.34 ((~![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(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13277,plain,
% 5.66/4.34 ((~![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(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13276, 13275])).
% 5.66/4.34 tff(13278,plain,
% 5.66/4.34 (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13277, 401, 13274])).
% 5.66/4.34 tff(13279,plain,
% 5.66/4.34 (node13(s162, s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13278, 13270, 13195, 13266, 13262, 13258, 13254])).
% 5.66/4.34 tff(13280,plain,
% 5.66/4.34 (((~![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(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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13281,plain,
% 5.66/4.34 (((~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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13282,plain,
% 5.66/4.34 (((~![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))))),
% 5.66/4.34 inference(monotonicity,[status(thm)],[13281])).
% 5.66/4.34 tff(13283,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(transitivity,[status(thm)],[13282, 13280])).
% 5.66/4.34 tff(13284,plain,
% 5.66/4.34 ((~![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))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13285,plain,
% 5.66/4.34 ((~![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(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 5.66/4.34 tff(13286,plain,
% 5.66/4.34 (m_main_v_state2(s163, c_t2)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13285, 563, 13183, 13279])).
% 5.66/4.34 tff(13287,plain,
% 5.66/4.34 (succ(s163, s164) <=> succ(s163, s164)),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13288,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 5.66/4.34 tff(13289,plain,
% 5.66/4.34 (succ(s163, s164)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 5.66/4.34 tff(13290,plain,
% 5.66/4.34 (((~![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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13291,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13292,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 5.66/4.34 tff(13293,plain,
% 5.66/4.34 (trans(s163, s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13292, 13289, 57])).
% 5.66/4.34 tff(13294,plain,
% 5.66/4.34 (((~![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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13295,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13296,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13295, 13294])).
% 5.66/4.34 tff(13297,plain,
% 5.66/4.34 (node7(s163, s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13296, 217, 13293])).
% 5.66/4.34 tff(13298,plain,
% 5.66/4.34 (((~![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(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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13299,plain,
% 5.66/4.34 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13300,plain,
% 5.66/4.34 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13299, 13298])).
% 5.66/4.34 tff(13301,plain,
% 5.66/4.34 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_state1(s164, c_t1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13300, 598, 13297])).
% 5.66/4.34 tff(13302,plain,
% 5.66/4.34 (m_main_v_state1(s164, c_t1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13301, 13286, 13230])).
% 5.66/4.34 tff(13303,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13304,plain,
% 5.66/4.34 ((~![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)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13305,plain,
% 5.66/4.34 ((~![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))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13304, 13303])).
% 5.66/4.34 tff(13306,plain,
% 5.66/4.34 (~m_main_v_state1(s164, c_n1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13305, 35, 13302])).
% 5.66/4.34 tff(13307,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13308,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13309,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 5.66/4.34 tff(13310,plain,
% 5.66/4.34 (~node1(s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13309, 249, 13306])).
% 5.66/4.34 tff(13311,plain,
% 5.66/4.34 (((~![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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13312,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13313,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13312, 13311])).
% 5.66/4.34 tff(13314,plain,
% 5.66/4.34 (node18(s163, s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13313, 71, 13293])).
% 5.66/4.34 tff(13315,plain,
% 5.66/4.34 (((~![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(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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13316,plain,
% 5.66/4.34 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13317,plain,
% 5.66/4.34 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13316, 13315])).
% 5.66/4.34 tff(13318,plain,
% 5.66/4.34 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_turn(s164, c_2)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13317, 625, 13314])).
% 5.66/4.34 tff(13319,plain,
% 5.66/4.34 (m_main_v_turn(s164, c_2)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13318, 13286, 13230])).
% 5.66/4.34 tff(13320,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13321,plain,
% 5.66/4.34 ((~![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)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13322,plain,
% 5.66/4.34 ((~![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))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13321, 13320])).
% 5.66/4.34 tff(13323,plain,
% 5.66/4.34 (~m_main_v_turn(s164, c_1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13322, 322, 13319])).
% 5.66/4.34 tff(13324,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13325,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13326,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 5.66/4.34 tff(13327,plain,
% 5.66/4.34 (~node5(s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13326, 641, 13323])).
% 5.66/4.34 tff(13328,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13329,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13330,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 5.66/4.34 tff(13331,plain,
% 5.66/4.34 (~node2(s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13330, 652, 13306])).
% 5.66/4.34 tff(13332,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13333,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13334,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 5.66/4.34 tff(13335,plain,
% 5.66/4.34 (~node3(s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13334, 663, 13306])).
% 5.66/4.34 tff(13336,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13337,plain,
% 5.66/4.34 ((~![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)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13338,plain,
% 5.66/4.34 ((~![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))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13337, 13336])).
% 5.66/4.34 tff(13339,plain,
% 5.66/4.34 (~m_main_v_state1(s164, c_c1)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13338, 289, 13302])).
% 5.66/4.34 tff(13340,plain,
% 5.66/4.34 (((~![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(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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13341,plain,
% 5.66/4.34 (((~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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13342,plain,
% 5.66/4.34 (((~![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))))),
% 5.66/4.34 inference(monotonicity,[status(thm)],[13341])).
% 5.66/4.34 tff(13343,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(transitivity,[status(thm)],[13342, 13340])).
% 5.66/4.34 tff(13344,plain,
% 5.66/4.34 ((~![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)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13345,plain,
% 5.66/4.34 ((~![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(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 5.66/4.34 tff(13346,plain,
% 5.66/4.34 (~m_main_v_state2(s163, c_n2)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13345, 416, 13187, 13279])).
% 5.66/4.34 tff(13347,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13348,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13349,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 5.66/4.34 tff(13350,plain,
% 5.66/4.34 (~node9(s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13349, 311, 13346])).
% 5.66/4.34 tff(13351,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13352,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13353,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 5.66/4.34 tff(13354,plain,
% 5.66/4.34 (~node10(s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13353, 372, 13346])).
% 5.66/4.34 tff(13355,plain,
% 5.66/4.34 (((~![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)))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13356,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13357,plain,
% 5.66/4.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163))),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 5.66/4.34 tff(13358,plain,
% 5.66/4.34 (~node8(s163)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13357, 383, 13346])).
% 5.66/4.34 tff(13359,plain,
% 5.66/4.34 (((~![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))),
% 5.66/4.34 inference(rewrite,[status(thm)],[])).
% 5.66/4.34 tff(13360,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))),
% 5.66/4.34 inference(quant_inst,[status(thm)],[])).
% 5.66/4.34 tff(13361,plain,
% 5.66/4.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164)),
% 5.66/4.34 inference(modus_ponens,[status(thm)],[13360, 13359])).
% 5.66/4.34 tff(13362,plain,
% 5.66/4.34 (node14(s163, s164)),
% 5.66/4.34 inference(unit_resolution,[status(thm)],[13361, 130, 13293])).
% 5.66/4.34 tff(13363,plain,
% 5.66/4.34 (((~![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(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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13364,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13365,plain,
% 5.66/4.35 ((~![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)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 5.66/4.35 tff(13366,plain,
% 5.66/4.35 ((~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)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13365, 704, 13362])).
% 5.66/4.35 tff(13367,plain,
% 5.66/4.35 (m_main_v_state2(s164, c_c2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13366, 13358, 13230, 13286, 13354, 13350])).
% 5.66/4.35 tff(13368,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13369,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13370,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 5.66/4.35 tff(13371,plain,
% 5.66/4.35 (~m_main_v_state2(s164, c_n2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13370, 716, 13367])).
% 5.66/4.35 tff(13372,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13373,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13374,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 5.66/4.35 tff(13375,plain,
% 5.66/4.35 (~node4(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13374, 162, 13371])).
% 5.66/4.35 tff(13376,plain,
% 5.66/4.35 (succ(s164, s165) <=> succ(s164, s165)),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13377,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 5.66/4.35 tff(13378,plain,
% 5.66/4.35 (succ(s164, s165)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 5.66/4.35 tff(13379,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13380,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13381,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13380, 13379])).
% 5.66/4.35 tff(13382,plain,
% 5.66/4.35 (trans(s164, s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13381, 13378, 57])).
% 5.66/4.35 tff(13383,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13384,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13385,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 5.66/4.35 tff(13386,plain,
% 5.66/4.35 (node7(s164, s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13385, 217, 13382])).
% 5.66/4.35 tff(13387,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13388,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13389,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 5.66/4.35 tff(13390,plain,
% 5.66/4.35 (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13389, 745, 13386])).
% 5.66/4.35 tff(13391,plain,
% 5.66/4.35 (node6(s164, s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13390, 13375, 13339, 13335, 13331, 13327, 13310])).
% 5.66/4.35 tff(13392,plain,
% 5.66/4.35 (((~![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(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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13393,plain,
% 5.66/4.35 (((~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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13394,plain,
% 5.66/4.35 (((~![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))))),
% 5.66/4.35 inference(monotonicity,[status(thm)],[13393])).
% 5.66/4.35 tff(13395,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(transitivity,[status(thm)],[13394, 13392])).
% 5.66/4.35 tff(13396,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13397,plain,
% 5.66/4.35 ((~![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(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 5.66/4.35 tff(13398,plain,
% 5.66/4.35 (m_main_v_state1(s165, c_t1)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13397, 760, 13302, 13391])).
% 5.66/4.35 tff(13399,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13400,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13401,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 5.66/4.35 tff(13402,plain,
% 5.66/4.35 (~m_main_v_state2(s164, c_t2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13401, 173, 13367])).
% 5.66/4.35 tff(13403,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13404,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13405,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 5.66/4.35 tff(13406,plain,
% 5.66/4.35 (~node12(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13405, 778, 13402])).
% 5.66/4.35 tff(13407,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13408,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13409,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 5.66/4.35 tff(13410,plain,
% 5.66/4.35 (~node11(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13409, 361, 13306])).
% 5.66/4.35 tff(13411,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13412,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13413,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13412, 13411])).
% 5.66/4.35 tff(13414,plain,
% 5.66/4.35 (~node10(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13413, 793, 13339])).
% 5.66/4.35 tff(13415,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13416,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13417,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 5.66/4.35 tff(13418,plain,
% 5.66/4.35 (~node9(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13417, 804, 13306])).
% 5.66/4.35 tff(13419,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13420,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13421,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 5.66/4.35 tff(13422,plain,
% 5.66/4.35 (~node8(s164)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13421, 383, 13371])).
% 5.66/4.35 tff(13423,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13424,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13425,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 5.66/4.35 tff(13426,plain,
% 5.66/4.35 (node14(s164, s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13425, 130, 13382])).
% 5.66/4.35 tff(13427,plain,
% 5.66/4.35 (((~![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(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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13428,plain,
% 5.66/4.35 (((~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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13429,plain,
% 5.66/4.35 (((~![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(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))))),
% 5.66/4.35 inference(monotonicity,[status(thm)],[13428])).
% 5.66/4.35 tff(13430,plain,
% 5.66/4.35 (((~![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(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)))),
% 5.66/4.35 inference(transitivity,[status(thm)],[13429, 13427])).
% 5.66/4.35 tff(13431,plain,
% 5.66/4.35 ((~![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(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13432,plain,
% 5.66/4.35 ((~![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(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 5.66/4.35 tff(13433,plain,
% 5.66/4.35 (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~m_main_v_state2(s164, c_c2))),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13432, 826, 13426])).
% 5.66/4.35 tff(13434,plain,
% 5.66/4.35 (m_main_v_state2(s165, c_n2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13433, 13422, 13367, 13418, 13414, 13410, 13406])).
% 5.66/4.35 tff(13435,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13436,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13437,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13436, 13435])).
% 5.66/4.35 tff(13438,plain,
% 5.66/4.35 (~m_main_v_state2(s165, c_t2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13437, 10, 13434])).
% 5.66/4.35 tff(13439,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13440,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13441,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 5.66/4.35 tff(13442,plain,
% 5.66/4.35 (~node15(s165)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13441, 21, 13438])).
% 5.66/4.35 tff(13443,plain,
% 5.66/4.35 (succ(s165, s166) <=> succ(s165, s166)),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13444,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 5.66/4.35 tff(13445,plain,
% 5.66/4.35 (succ(s165, s166)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 5.66/4.35 tff(13446,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13447,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13448,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13447, 13446])).
% 5.66/4.35 tff(13449,plain,
% 5.66/4.35 (trans(s165, s166)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13448, 13445, 57])).
% 5.66/4.35 tff(13450,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13451,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13452,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13451, 13450])).
% 5.66/4.35 tff(13453,plain,
% 5.66/4.35 (node18(s165, s166)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13452, 71, 13449])).
% 5.66/4.35 tff(13454,plain,
% 5.66/4.35 (((~![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(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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13455,plain,
% 5.66/4.35 (((~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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13456,plain,
% 5.66/4.35 (((~![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(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)))),
% 5.66/4.35 inference(monotonicity,[status(thm)],[13455])).
% 5.66/4.35 tff(13457,plain,
% 5.66/4.35 (((~![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(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))),
% 5.66/4.35 inference(transitivity,[status(thm)],[13456, 13454])).
% 5.66/4.35 tff(13458,plain,
% 5.66/4.35 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13459,plain,
% 5.66/4.35 ((~![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(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)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 5.66/4.35 tff(13460,plain,
% 5.66/4.35 (node15(s165) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13459, 863, 13453])).
% 5.66/4.35 tff(13461,plain,
% 5.66/4.35 (m_main_v_turn(s166, c_1)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13460, 13442, 13434, 13398])).
% 5.66/4.35 tff(13462,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13463,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13464,plain,
% 5.66/4.35 ((~![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))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 5.66/4.35 tff(13465,plain,
% 5.66/4.35 (~m_main_v_turn(s166, c_2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13464, 322, 13461])).
% 5.66/4.35 tff(13466,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13467,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13468,plain,
% 5.66/4.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166))),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 5.66/4.35 tff(13469,plain,
% 5.66/4.35 (~node12(s166)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13468, 350, 13465])).
% 5.66/4.35 tff(13470,plain,
% 5.66/4.35 (((~![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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13471,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13472,plain,
% 5.66/4.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13471, 13470])).
% 5.66/4.35 tff(13473,plain,
% 5.66/4.35 (node14(s165, s166)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13472, 130, 13449])).
% 5.66/4.35 tff(13474,plain,
% 5.66/4.35 (((~![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(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))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13475,plain,
% 5.66/4.35 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 5.66/4.35 inference(quant_inst,[status(thm)],[])).
% 5.66/4.35 tff(13476,plain,
% 5.66/4.35 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2)),
% 5.66/4.35 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 5.66/4.35 tff(13477,plain,
% 5.66/4.35 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state2(s166, c_t2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13476, 893, 13473])).
% 5.66/4.35 tff(13478,plain,
% 5.66/4.35 (m_main_v_state2(s166, c_t2)),
% 5.66/4.35 inference(unit_resolution,[status(thm)],[13477, 13398, 13434])).
% 5.66/4.35 tff(13479,plain,
% 5.66/4.35 (((~![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)))),
% 5.66/4.35 inference(rewrite,[status(thm)],[])).
% 5.66/4.35 tff(13480,plain,
% 5.66/4.35 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13481,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 5.66/4.36 tff(13482,plain,
% 5.66/4.36 (~m_main_v_state2(s166, c_n2)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13481, 10, 13478])).
% 5.66/4.36 tff(13483,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13484,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13485,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13484, 13483])).
% 5.66/4.36 tff(13486,plain,
% 5.66/4.36 (~node8(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13485, 383, 13482])).
% 5.66/4.36 tff(13487,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13488,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13489,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 5.66/4.36 tff(13490,plain,
% 5.66/4.36 (~node9(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13489, 311, 13482])).
% 5.66/4.36 tff(13491,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13492,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13493,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 5.66/4.36 tff(13494,plain,
% 5.66/4.36 (~node10(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13493, 372, 13482])).
% 5.66/4.36 tff(13495,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13496,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13497,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13496, 13495])).
% 5.66/4.36 tff(13498,plain,
% 5.66/4.36 (~m_main_v_state2(s166, c_c2)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13497, 173, 13478])).
% 5.66/4.36 tff(13499,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13500,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13501,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 5.66/4.36 tff(13502,plain,
% 5.66/4.36 (~m_main_v_state2(s165, c_c2)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13501, 716, 13434])).
% 5.66/4.36 tff(13503,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13504,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13505,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13504, 13503])).
% 5.66/4.36 tff(13506,plain,
% 5.66/4.36 (~node3(s165)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13505, 184, 13502])).
% 5.66/4.36 tff(13507,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13508,plain,
% 5.66/4.36 (((~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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13509,plain,
% 5.66/4.36 (((~![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))))),
% 5.66/4.36 inference(monotonicity,[status(thm)],[13508])).
% 5.66/4.36 tff(13510,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(transitivity,[status(thm)],[13509, 13507])).
% 5.66/4.36 tff(13511,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13512,plain,
% 5.66/4.36 ((~![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(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 5.66/4.36 tff(13513,plain,
% 5.66/4.36 (~m_main_v_state1(s165, c_n1)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13512, 936, 13306, 13391])).
% 5.66/4.36 tff(13514,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13515,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13516,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 5.66/4.36 tff(13517,plain,
% 5.66/4.36 (~node2(s165)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13516, 652, 13513])).
% 5.66/4.36 tff(13518,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13519,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13520,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 5.66/4.36 tff(13521,plain,
% 5.66/4.36 (~node1(s165)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13520, 206, 13438])).
% 5.66/4.36 tff(13522,plain,
% 5.66/4.36 (((~![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))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13523,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13524,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166)),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13523, 13522])).
% 5.66/4.36 tff(13525,plain,
% 5.66/4.36 (node7(s165, s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13524, 217, 13449])).
% 5.66/4.36 tff(13526,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13527,plain,
% 5.66/4.36 (((~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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13528,plain,
% 5.66/4.36 (((~![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(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))))),
% 5.66/4.36 inference(monotonicity,[status(thm)],[13527])).
% 5.66/4.36 tff(13529,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(transitivity,[status(thm)],[13528, 13526])).
% 5.66/4.36 tff(13530,plain,
% 5.66/4.36 ((~![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(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))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13531,plain,
% 5.66/4.36 ((~![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(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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 5.66/4.36 tff(13532,plain,
% 5.66/4.36 ((~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)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13531, 965, 13525])).
% 5.66/4.36 tff(13533,plain,
% 5.66/4.36 (m_main_v_state1(s166, c_c1)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13532, 13521, 13434, 13398, 13517, 13506])).
% 5.66/4.36 tff(13534,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13535,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13536,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 5.66/4.36 tff(13537,plain,
% 5.66/4.36 (~m_main_v_state1(s166, c_n1)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13536, 449, 13533])).
% 5.66/4.36 tff(13538,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13539,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13540,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13539, 13538])).
% 5.66/4.36 tff(13541,plain,
% 5.66/4.36 (~node11(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13540, 361, 13537])).
% 5.66/4.36 tff(13542,plain,
% 5.66/4.36 (succ(s166, s167) <=> succ(s166, s167)),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13543,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 5.66/4.36 tff(13544,plain,
% 5.66/4.36 (succ(s166, s167)),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13543, 13542])).
% 5.66/4.36 tff(13545,plain,
% 5.66/4.36 (((~![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))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13546,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13547,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 5.66/4.36 tff(13548,plain,
% 5.66/4.36 (trans(s166, s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13547, 13544, 57])).
% 5.66/4.36 tff(13549,plain,
% 5.66/4.36 (((~![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))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13550,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13551,plain,
% 5.66/4.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167)),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 5.66/4.36 tff(13552,plain,
% 5.66/4.36 (node14(s166, s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13551, 130, 13548])).
% 5.66/4.36 tff(13553,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13554,plain,
% 5.66/4.36 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13555,plain,
% 5.66/4.36 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13554, 13553])).
% 5.66/4.36 tff(13556,plain,
% 5.66/4.36 (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13555, 401, 13552])).
% 5.66/4.36 tff(13557,plain,
% 5.66/4.36 (node13(s166, s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13556, 13541, 13498, 13494, 13490, 13486, 13469])).
% 5.66/4.36 tff(13558,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13559,plain,
% 5.66/4.36 (((~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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13560,plain,
% 5.66/4.36 (((~![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))))),
% 5.66/4.36 inference(monotonicity,[status(thm)],[13559])).
% 5.66/4.36 tff(13561,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(transitivity,[status(thm)],[13560, 13558])).
% 5.66/4.36 tff(13562,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13563,plain,
% 5.66/4.36 ((~![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(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 5.66/4.36 tff(13564,plain,
% 5.66/4.36 (~m_main_v_state2(s167, c_n2)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13563, 416, 13482, 13557])).
% 5.66/4.36 tff(13565,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13566,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13567,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 5.66/4.36 tff(13568,plain,
% 5.66/4.36 (~node9(s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13567, 311, 13564])).
% 5.66/4.36 tff(13569,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13570,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13571,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 5.66/4.36 tff(13572,plain,
% 5.66/4.36 (~node10(s167)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13571, 372, 13564])).
% 5.66/4.36 tff(13573,plain,
% 5.66/4.36 (((~![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(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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13574,plain,
% 5.66/4.36 (((~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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13575,plain,
% 5.66/4.36 (((~![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))))),
% 5.66/4.36 inference(monotonicity,[status(thm)],[13574])).
% 5.66/4.36 tff(13576,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(transitivity,[status(thm)],[13575, 13573])).
% 5.66/4.36 tff(13577,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13578,plain,
% 5.66/4.36 ((~![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(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 5.66/4.36 tff(13579,plain,
% 5.66/4.36 (m_main_v_state2(s167, c_t2)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13578, 563, 13478, 13557])).
% 5.66/4.36 tff(13580,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13581,plain,
% 5.66/4.36 ((~![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)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13582,plain,
% 5.66/4.36 ((~![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))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13581, 13580])).
% 5.66/4.36 tff(13583,plain,
% 5.66/4.36 (~m_main_v_state1(s166, c_t1)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13582, 289, 13533])).
% 5.66/4.36 tff(13584,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13585,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13586,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 5.66/4.36 tff(13587,plain,
% 5.66/4.36 (~node5(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13586, 300, 13583])).
% 5.66/4.36 tff(13588,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13589,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13590,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 5.66/4.36 tff(13591,plain,
% 5.66/4.36 (~node4(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13590, 162, 13482])).
% 5.66/4.36 tff(13592,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13593,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13594,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 5.66/4.36 tff(13595,plain,
% 5.66/4.36 (~node3(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13594, 184, 13498])).
% 5.66/4.36 tff(13596,plain,
% 5.66/4.36 (((~![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)))),
% 5.66/4.36 inference(rewrite,[status(thm)],[])).
% 5.66/4.36 tff(13597,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 5.66/4.36 inference(quant_inst,[status(thm)],[])).
% 5.66/4.36 tff(13598,plain,
% 5.66/4.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166))),
% 5.66/4.36 inference(modus_ponens,[status(thm)],[13597, 13596])).
% 5.66/4.36 tff(13599,plain,
% 5.66/4.36 (~node2(s166)),
% 5.66/4.36 inference(unit_resolution,[status(thm)],[13598, 195, 13482])).
% 5.66/4.36 tff(13600,plain,
% 5.66/4.36 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13601,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13602,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13601, 13600])).
% 5.73/4.37 tff(13603,plain,
% 5.73/4.37 (~node1(s166)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13602, 249, 13537])).
% 5.73/4.37 tff(13604,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13605,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13606,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 5.73/4.37 tff(13607,plain,
% 5.73/4.37 (node7(s166, s167)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13606, 217, 13548])).
% 5.73/4.37 tff(13608,plain,
% 5.73/4.37 (((~![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(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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13609,plain,
% 5.73/4.37 (((~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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13610,plain,
% 5.73/4.37 (((~![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(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))))),
% 5.73/4.37 inference(monotonicity,[status(thm)],[13609])).
% 5.73/4.37 tff(13611,plain,
% 5.73/4.37 (((~![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(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)))),
% 5.73/4.37 inference(transitivity,[status(thm)],[13610, 13608])).
% 5.73/4.37 tff(13612,plain,
% 5.73/4.37 ((~![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(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13613,plain,
% 5.73/4.37 ((~![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(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 5.73/4.37 tff(13614,plain,
% 5.73/4.37 (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13613, 478, 13607])).
% 5.73/4.37 tff(13615,plain,
% 5.73/4.37 (m_main_v_state1(s167, c_n1)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13614, 13603, 13533, 13599, 13595, 13591, 13587])).
% 5.73/4.37 tff(13616,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13617,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13618,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 5.73/4.37 tff(13619,plain,
% 5.73/4.37 (~node8(s167)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13618, 383, 13564])).
% 5.73/4.37 tff(13620,plain,
% 5.73/4.37 (succ(s167, s168) <=> succ(s167, s168)),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13621,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 5.73/4.37 tff(13622,plain,
% 5.73/4.37 (succ(s167, s168)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13621, 13620])).
% 5.73/4.37 tff(13623,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13624,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13625,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13624, 13623])).
% 5.73/4.37 tff(13626,plain,
% 5.73/4.37 (trans(s167, s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13625, 13622, 57])).
% 5.73/4.37 tff(13627,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13628,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13629,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 5.73/4.37 tff(13630,plain,
% 5.73/4.37 (node14(s167, s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13629, 130, 13626])).
% 5.73/4.37 tff(13631,plain,
% 5.73/4.37 (((~![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(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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13632,plain,
% 5.73/4.37 ((~![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(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))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13633,plain,
% 5.73/4.37 ((~![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(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)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13632, 13631])).
% 5.73/4.37 tff(13634,plain,
% 5.73/4.37 ((~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)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13633, 704, 13630])).
% 5.73/4.37 tff(13635,plain,
% 5.73/4.37 (m_main_v_state2(s168, c_c2)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13634, 13619, 13615, 13579, 13572, 13568])).
% 5.73/4.37 tff(13636,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13637,plain,
% 5.73/4.37 ((~![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)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13638,plain,
% 5.73/4.37 ((~![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))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 5.73/4.37 tff(13639,plain,
% 5.73/4.37 (~m_main_v_state2(s168, c_t2)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13638, 173, 13635])).
% 5.73/4.37 tff(13640,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13641,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13642,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 5.73/4.37 tff(13643,plain,
% 5.73/4.37 (~node12(s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13642, 778, 13639])).
% 5.73/4.37 tff(13644,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13645,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13646,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 5.73/4.37 tff(13647,plain,
% 5.73/4.37 (node7(s167, s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13646, 217, 13626])).
% 5.73/4.37 tff(13648,plain,
% 5.73/4.37 (((~![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(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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13649,plain,
% 5.73/4.37 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13650,plain,
% 5.73/4.37 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13649, 13648])).
% 5.73/4.37 tff(13651,plain,
% 5.73/4.37 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_state1(s168, c_t1)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13650, 598, 13647])).
% 5.73/4.37 tff(13652,plain,
% 5.73/4.37 (m_main_v_state1(s168, c_t1)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13651, 13579, 13615])).
% 5.73/4.37 tff(13653,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13654,plain,
% 5.73/4.37 ((~![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)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13655,plain,
% 5.73/4.37 ((~![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))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 5.73/4.37 tff(13656,plain,
% 5.73/4.37 (~m_main_v_state1(s168, c_n1)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13655, 35, 13652])).
% 5.73/4.37 tff(13657,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13658,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13659,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 5.73/4.37 tff(13660,plain,
% 5.73/4.37 (~node11(s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13659, 361, 13656])).
% 5.73/4.37 tff(13661,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13662,plain,
% 5.73/4.37 ((~![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)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13663,plain,
% 5.73/4.37 ((~![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))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 5.73/4.37 tff(13664,plain,
% 5.73/4.37 (~m_main_v_state1(s168, c_c1)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13663, 289, 13652])).
% 5.73/4.37 tff(13665,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13666,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13667,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 5.73/4.37 tff(13668,plain,
% 5.73/4.37 (~node10(s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13667, 793, 13664])).
% 5.73/4.37 tff(13669,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13670,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13671,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 5.73/4.37 tff(13672,plain,
% 5.73/4.37 (~node9(s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13671, 804, 13656])).
% 5.73/4.37 tff(13673,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13674,plain,
% 5.73/4.37 ((~![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)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13675,plain,
% 5.73/4.37 ((~![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))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13674, 13673])).
% 5.73/4.37 tff(13676,plain,
% 5.73/4.37 (~m_main_v_state2(s168, c_n2)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13675, 716, 13635])).
% 5.73/4.37 tff(13677,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13678,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13679,plain,
% 5.73/4.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 5.73/4.37 tff(13680,plain,
% 5.73/4.37 (~node8(s168)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13679, 383, 13676])).
% 5.73/4.37 tff(13681,plain,
% 5.73/4.37 (succ(s168, s169) <=> succ(s168, s169)),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13682,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 5.73/4.37 tff(13683,plain,
% 5.73/4.37 (succ(s168, s169)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 5.73/4.37 tff(13684,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13685,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13686,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 5.73/4.37 tff(13687,plain,
% 5.73/4.37 (trans(s168, s169)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13686, 13683, 57])).
% 5.73/4.37 tff(13688,plain,
% 5.73/4.37 (((~![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))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13689,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13690,plain,
% 5.73/4.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169)),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 5.73/4.37 tff(13691,plain,
% 5.73/4.37 (node14(s168, s169)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13690, 130, 13687])).
% 5.73/4.37 tff(13692,plain,
% 5.73/4.37 (((~![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(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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13693,plain,
% 5.73/4.37 (((~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)))),
% 5.73/4.37 inference(rewrite,[status(thm)],[])).
% 5.73/4.37 tff(13694,plain,
% 5.73/4.37 (((~![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(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))))),
% 5.73/4.37 inference(monotonicity,[status(thm)],[13693])).
% 5.73/4.37 tff(13695,plain,
% 5.73/4.37 (((~![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(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)))),
% 5.73/4.37 inference(transitivity,[status(thm)],[13694, 13692])).
% 5.73/4.37 tff(13696,plain,
% 5.73/4.37 ((~![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(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))),
% 5.73/4.37 inference(quant_inst,[status(thm)],[])).
% 5.73/4.37 tff(13697,plain,
% 5.73/4.37 ((~![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(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))),
% 5.73/4.37 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 5.73/4.37 tff(13698,plain,
% 5.73/4.37 (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~m_main_v_state2(s168, c_c2))),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13697, 826, 13691])).
% 5.73/4.37 tff(13699,plain,
% 5.73/4.37 (m_main_v_state2(s169, c_n2)),
% 5.73/4.37 inference(unit_resolution,[status(thm)],[13698, 13680, 13635, 13672, 13668, 13660, 13643])).
% 5.73/4.37 tff(13700,plain,
% 5.73/4.37 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13701,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13702,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 5.73/4.38 tff(13703,plain,
% 5.73/4.38 (~m_main_v_state2(s169, c_c2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13702, 716, 13699])).
% 5.73/4.38 tff(13704,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13705,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13706,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13705, 13704])).
% 5.73/4.38 tff(13707,plain,
% 5.73/4.38 (~node3(s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13706, 184, 13703])).
% 5.73/4.38 tff(13708,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13709,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13710,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13709, 13708])).
% 5.73/4.38 tff(13711,plain,
% 5.73/4.38 (~node1(s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13710, 249, 13656])).
% 5.73/4.38 tff(13712,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13713,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13714,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13713, 13712])).
% 5.73/4.38 tff(13715,plain,
% 5.73/4.38 (node18(s167, s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13714, 71, 13626])).
% 5.73/4.38 tff(13716,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13717,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13718,plain,
% 5.73/4.38 ((~![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)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 5.73/4.38 tff(13719,plain,
% 5.73/4.38 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_turn(s168, c_2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13718, 625, 13715])).
% 5.73/4.38 tff(13720,plain,
% 5.73/4.38 (m_main_v_turn(s168, c_2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13719, 13579, 13615])).
% 5.73/4.38 tff(13721,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13722,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13723,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 5.73/4.38 tff(13724,plain,
% 5.73/4.38 (~m_main_v_turn(s168, c_1)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13723, 322, 13720])).
% 5.73/4.38 tff(13725,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13726,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13727,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13726, 13725])).
% 5.73/4.38 tff(13728,plain,
% 5.73/4.38 (~node5(s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13727, 641, 13724])).
% 5.73/4.38 tff(13729,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13730,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13731,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13730, 13729])).
% 5.73/4.38 tff(13732,plain,
% 5.73/4.38 (~node2(s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13731, 652, 13656])).
% 5.73/4.38 tff(13733,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13734,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13735,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 5.73/4.38 tff(13736,plain,
% 5.73/4.38 (~node3(s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13735, 663, 13656])).
% 5.73/4.38 tff(13737,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13738,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13739,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 5.73/4.38 tff(13740,plain,
% 5.73/4.38 (~node4(s168)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13739, 162, 13676])).
% 5.73/4.38 tff(13741,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13742,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13743,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 5.73/4.38 tff(13744,plain,
% 5.73/4.38 (node7(s168, s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13743, 217, 13687])).
% 5.73/4.38 tff(13745,plain,
% 5.73/4.38 (((~![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(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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13746,plain,
% 5.73/4.38 ((~![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(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13747,plain,
% 5.73/4.38 ((~![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(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 5.73/4.38 tff(13748,plain,
% 5.73/4.38 (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13747, 745, 13744])).
% 5.73/4.38 tff(13749,plain,
% 5.73/4.38 (node6(s168, s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13748, 13740, 13664, 13736, 13732, 13728, 13711])).
% 5.73/4.38 tff(13750,plain,
% 5.73/4.38 (((~![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(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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13751,plain,
% 5.73/4.38 (((~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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13752,plain,
% 5.73/4.38 (((~![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))))),
% 5.73/4.38 inference(monotonicity,[status(thm)],[13751])).
% 5.73/4.38 tff(13753,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(transitivity,[status(thm)],[13752, 13750])).
% 5.73/4.38 tff(13754,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13755,plain,
% 5.73/4.38 ((~![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(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 5.73/4.38 tff(13756,plain,
% 5.73/4.38 (~m_main_v_state1(s169, c_n1)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13755, 936, 13656, 13749])).
% 5.73/4.38 tff(13757,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13758,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13759,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 5.73/4.38 tff(13760,plain,
% 5.73/4.38 (~node2(s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13759, 652, 13756])).
% 5.73/4.38 tff(13761,plain,
% 5.73/4.38 (((~![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(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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13762,plain,
% 5.73/4.38 (((~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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13763,plain,
% 5.73/4.38 (((~![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))))),
% 5.73/4.38 inference(monotonicity,[status(thm)],[13762])).
% 5.73/4.38 tff(13764,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(transitivity,[status(thm)],[13763, 13761])).
% 5.73/4.38 tff(13765,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13766,plain,
% 5.73/4.38 ((~![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(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 5.73/4.38 tff(13767,plain,
% 5.73/4.38 (m_main_v_state1(s169, c_t1)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13766, 760, 13652, 13749])).
% 5.73/4.38 tff(13768,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13769,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13770,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 5.73/4.38 tff(13771,plain,
% 5.73/4.38 (~m_main_v_state2(s169, c_t2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13770, 10, 13699])).
% 5.73/4.38 tff(13772,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13773,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13774,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13773, 13772])).
% 5.73/4.38 tff(13775,plain,
% 5.73/4.38 (~node1(s169)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13774, 206, 13771])).
% 5.73/4.38 tff(13776,plain,
% 5.73/4.38 (succ(s169, s170) <=> succ(s169, s170)),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13777,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 5.73/4.38 tff(13778,plain,
% 5.73/4.38 (succ(s169, s170)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 5.73/4.38 tff(13779,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13780,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13781,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 5.73/4.38 tff(13782,plain,
% 5.73/4.38 (trans(s169, s170)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13781, 13778, 57])).
% 5.73/4.38 tff(13783,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13784,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13785,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13784, 13783])).
% 5.73/4.38 tff(13786,plain,
% 5.73/4.38 (node7(s169, s170)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13785, 217, 13782])).
% 5.73/4.38 tff(13787,plain,
% 5.73/4.38 (((~![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(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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13788,plain,
% 5.73/4.38 (((~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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13789,plain,
% 5.73/4.38 (((~![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(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))))),
% 5.73/4.38 inference(monotonicity,[status(thm)],[13788])).
% 5.73/4.38 tff(13790,plain,
% 5.73/4.38 (((~![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(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)))),
% 5.73/4.38 inference(transitivity,[status(thm)],[13789, 13787])).
% 5.73/4.38 tff(13791,plain,
% 5.73/4.38 ((~![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(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))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13792,plain,
% 5.73/4.38 ((~![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(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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13791, 13790])).
% 5.73/4.38 tff(13793,plain,
% 5.73/4.38 ((~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)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13792, 965, 13786])).
% 5.73/4.38 tff(13794,plain,
% 5.73/4.38 (m_main_v_state1(s170, c_c1)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13793, 13775, 13699, 13767, 13760, 13707])).
% 5.73/4.38 tff(13795,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13796,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13797,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13796, 13795])).
% 5.73/4.38 tff(13798,plain,
% 5.73/4.38 (~m_main_v_state1(s170, c_t1)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13797, 289, 13794])).
% 5.73/4.38 tff(13799,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13800,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13801,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 5.73/4.38 tff(13802,plain,
% 5.73/4.38 (~node5(s170)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13801, 300, 13798])).
% 5.73/4.38 tff(13803,plain,
% 5.73/4.38 (((~![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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13804,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13805,plain,
% 5.73/4.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 5.73/4.38 tff(13806,plain,
% 5.73/4.38 (node14(s169, s170)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13805, 130, 13782])).
% 5.73/4.38 tff(13807,plain,
% 5.73/4.38 (((~![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(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))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13808,plain,
% 5.73/4.38 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13809,plain,
% 5.73/4.38 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2)),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 5.73/4.38 tff(13810,plain,
% 5.73/4.38 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state2(s170, c_t2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13809, 893, 13806])).
% 5.73/4.38 tff(13811,plain,
% 5.73/4.38 (m_main_v_state2(s170, c_t2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13810, 13767, 13699])).
% 5.73/4.38 tff(13812,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13813,plain,
% 5.73/4.38 ((~![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)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13814,plain,
% 5.73/4.38 ((~![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))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 5.73/4.38 tff(13815,plain,
% 5.73/4.38 (~m_main_v_state2(s170, c_n2)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13814, 10, 13811])).
% 5.73/4.38 tff(13816,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.38 inference(rewrite,[status(thm)],[])).
% 5.73/4.38 tff(13817,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 5.73/4.38 inference(quant_inst,[status(thm)],[])).
% 5.73/4.38 tff(13818,plain,
% 5.73/4.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170))),
% 5.73/4.38 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 5.73/4.38 tff(13819,plain,
% 5.73/4.38 (~node4(s170)),
% 5.73/4.38 inference(unit_resolution,[status(thm)],[13818, 162, 13815])).
% 5.73/4.38 tff(13820,plain,
% 5.73/4.38 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13821,plain,
% 5.73/4.39 ((~![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)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13822,plain,
% 5.73/4.39 ((~![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))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 5.73/4.39 tff(13823,plain,
% 5.73/4.39 (~m_main_v_state2(s170, c_c2)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13822, 173, 13811])).
% 5.73/4.39 tff(13824,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13825,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13826,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 5.73/4.39 tff(13827,plain,
% 5.73/4.39 (~node3(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13826, 184, 13823])).
% 5.73/4.39 tff(13828,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13829,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13830,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 5.73/4.39 tff(13831,plain,
% 5.73/4.39 (~node2(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13830, 195, 13815])).
% 5.73/4.39 tff(13832,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13833,plain,
% 5.73/4.39 ((~![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)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13834,plain,
% 5.73/4.39 ((~![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))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 5.73/4.39 tff(13835,plain,
% 5.73/4.39 (~m_main_v_state1(s170, c_n1)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13834, 449, 13794])).
% 5.73/4.39 tff(13836,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13837,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13838,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 5.73/4.39 tff(13839,plain,
% 5.73/4.39 (~node1(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13838, 249, 13835])).
% 5.73/4.39 tff(13840,plain,
% 5.73/4.39 (succ(s170, s171) <=> succ(s170, s171)),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13841,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 5.73/4.39 tff(13842,plain,
% 5.73/4.39 (succ(s170, s171)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13841, 13840])).
% 5.73/4.39 tff(13843,plain,
% 5.73/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13844,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13845,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 5.73/4.39 tff(13846,plain,
% 5.73/4.39 (trans(s170, s171)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13845, 13842, 57])).
% 5.73/4.39 tff(13847,plain,
% 5.73/4.39 (((~![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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13848,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13849,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 5.73/4.39 tff(13850,plain,
% 5.73/4.39 (node7(s170, s171)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13849, 217, 13846])).
% 5.73/4.39 tff(13851,plain,
% 5.73/4.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13852,plain,
% 5.73/4.39 (((~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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13853,plain,
% 5.73/4.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.73/4.39 inference(monotonicity,[status(thm)],[13852])).
% 5.73/4.39 tff(13854,plain,
% 5.73/4.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.73/4.39 inference(transitivity,[status(thm)],[13853, 13851])).
% 5.73/4.39 tff(13855,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13856,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 5.73/4.39 tff(13857,plain,
% 5.73/4.39 (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13856, 478, 13850])).
% 5.73/4.39 tff(13858,plain,
% 5.73/4.39 (m_main_v_state1(s171, c_n1)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13857, 13839, 13794, 13831, 13827, 13819, 13802])).
% 5.73/4.39 tff(13859,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13860,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13861,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 5.73/4.39 tff(13862,plain,
% 5.73/4.39 (~node15(s169)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13861, 21, 13771])).
% 5.73/4.39 tff(13863,plain,
% 5.73/4.39 (((~![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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13864,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13865,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 5.73/4.39 tff(13866,plain,
% 5.73/4.39 (node18(s169, s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13865, 71, 13782])).
% 5.73/4.39 tff(13867,plain,
% 5.73/4.39 (((~![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(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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13868,plain,
% 5.73/4.39 (((~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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13869,plain,
% 5.73/4.39 (((~![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(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)))),
% 5.73/4.39 inference(monotonicity,[status(thm)],[13868])).
% 5.73/4.39 tff(13870,plain,
% 5.73/4.39 (((~![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(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))),
% 5.73/4.39 inference(transitivity,[status(thm)],[13869, 13867])).
% 5.73/4.39 tff(13871,plain,
% 5.73/4.39 ((~![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(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13872,plain,
% 5.73/4.39 ((~![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(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)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 5.73/4.39 tff(13873,plain,
% 5.73/4.39 (node15(s169) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13872, 863, 13866])).
% 5.73/4.39 tff(13874,plain,
% 5.73/4.39 (m_main_v_turn(s170, c_1)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13873, 13862, 13699, 13767])).
% 5.73/4.39 tff(13875,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13876,plain,
% 5.73/4.39 ((~![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)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13877,plain,
% 5.73/4.39 ((~![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))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 5.73/4.39 tff(13878,plain,
% 5.73/4.39 (~m_main_v_turn(s170, c_2)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13877, 322, 13874])).
% 5.73/4.39 tff(13879,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13880,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13881,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 5.73/4.39 tff(13882,plain,
% 5.73/4.39 (~node12(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13881, 350, 13878])).
% 5.73/4.39 tff(13883,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13884,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13885,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 5.73/4.39 tff(13886,plain,
% 5.73/4.39 (~node8(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13885, 383, 13815])).
% 5.73/4.39 tff(13887,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13888,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13889,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 5.73/4.39 tff(13890,plain,
% 5.73/4.39 (~node9(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13889, 311, 13815])).
% 5.73/4.39 tff(13891,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13892,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13893,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 5.73/4.39 tff(13894,plain,
% 5.73/4.39 (~node10(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13893, 372, 13815])).
% 5.73/4.39 tff(13895,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13896,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13897,plain,
% 5.73/4.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 5.73/4.39 tff(13898,plain,
% 5.73/4.39 (~node11(s170)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13897, 361, 13835])).
% 5.73/4.39 tff(13899,plain,
% 5.73/4.39 (((~![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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13900,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13901,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 5.73/4.39 tff(13902,plain,
% 5.73/4.39 (node14(s170, s171)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13901, 130, 13846])).
% 5.73/4.39 tff(13903,plain,
% 5.73/4.39 (((~![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(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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13904,plain,
% 5.73/4.39 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13905,plain,
% 5.73/4.39 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 5.73/4.39 tff(13906,plain,
% 5.73/4.39 (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13905, 401, 13902])).
% 5.73/4.39 tff(13907,plain,
% 5.73/4.39 (node13(s170, s171)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13906, 13898, 13823, 13894, 13890, 13886, 13882])).
% 5.73/4.39 tff(13908,plain,
% 5.73/4.39 (((~![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(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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13909,plain,
% 5.73/4.39 (((~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)))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13910,plain,
% 5.73/4.39 (((~![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))))),
% 5.73/4.39 inference(monotonicity,[status(thm)],[13909])).
% 5.73/4.39 tff(13911,plain,
% 5.73/4.39 (((~![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)))),
% 5.73/4.39 inference(transitivity,[status(thm)],[13910, 13908])).
% 5.73/4.39 tff(13912,plain,
% 5.73/4.39 ((~![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))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13913,plain,
% 5.73/4.39 ((~![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(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 5.73/4.39 tff(13914,plain,
% 5.73/4.39 (m_main_v_state2(s171, c_t2)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13913, 563, 13811, 13907])).
% 5.73/4.39 tff(13915,plain,
% 5.73/4.39 (succ(s171, s172) <=> succ(s171, s172)),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13916,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 5.73/4.39 tff(13917,plain,
% 5.73/4.39 (succ(s171, s172)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 5.73/4.39 tff(13918,plain,
% 5.73/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13919,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13920,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 5.73/4.39 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 5.73/4.39 tff(13921,plain,
% 5.73/4.39 (trans(s171, s172)),
% 5.73/4.39 inference(unit_resolution,[status(thm)],[13920, 13917, 57])).
% 5.73/4.39 tff(13922,plain,
% 5.73/4.39 (((~![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))),
% 5.73/4.39 inference(rewrite,[status(thm)],[])).
% 5.73/4.39 tff(13923,plain,
% 5.73/4.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))),
% 5.73/4.39 inference(quant_inst,[status(thm)],[])).
% 5.73/4.39 tff(13924,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 5.73/4.40 tff(13925,plain,
% 5.73/4.40 (node7(s171, s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13924, 217, 13921])).
% 5.73/4.40 tff(13926,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13927,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13928,plain,
% 5.73/4.40 ((~![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)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 5.73/4.40 tff(13929,plain,
% 5.73/4.40 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_state1(s172, c_t1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13928, 598, 13925])).
% 5.73/4.40 tff(13930,plain,
% 5.73/4.40 (m_main_v_state1(s172, c_t1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13929, 13914, 13858])).
% 5.73/4.40 tff(13931,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13932,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13933,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13932, 13931])).
% 5.73/4.40 tff(13934,plain,
% 5.73/4.40 (~m_main_v_state1(s172, c_n1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13933, 35, 13930])).
% 5.73/4.40 tff(13935,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13936,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13937,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 5.73/4.40 tff(13938,plain,
% 5.73/4.40 (~node1(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13937, 249, 13934])).
% 5.73/4.40 tff(13939,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13940,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13941,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13940, 13939])).
% 5.73/4.40 tff(13942,plain,
% 5.73/4.40 (node18(s171, s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13941, 71, 13921])).
% 5.73/4.40 tff(13943,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13944,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13945,plain,
% 5.73/4.40 ((~![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)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 5.73/4.40 tff(13946,plain,
% 5.73/4.40 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_turn(s172, c_2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13945, 625, 13942])).
% 5.73/4.40 tff(13947,plain,
% 5.73/4.40 (m_main_v_turn(s172, c_2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13946, 13914, 13858])).
% 5.73/4.40 tff(13948,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13949,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13950,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 5.73/4.40 tff(13951,plain,
% 5.73/4.40 (~m_main_v_turn(s172, c_1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13950, 322, 13947])).
% 5.73/4.40 tff(13952,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13953,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13954,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13953, 13952])).
% 5.73/4.40 tff(13955,plain,
% 5.73/4.40 (~node5(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13954, 641, 13951])).
% 5.73/4.40 tff(13956,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13957,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13958,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 5.73/4.40 tff(13959,plain,
% 5.73/4.40 (~node2(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13958, 652, 13934])).
% 5.73/4.40 tff(13960,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13961,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13962,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13961, 13960])).
% 5.73/4.40 tff(13963,plain,
% 5.73/4.40 (~node3(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13962, 663, 13934])).
% 5.73/4.40 tff(13964,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13965,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13966,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 5.73/4.40 tff(13967,plain,
% 5.73/4.40 (~m_main_v_state1(s172, c_c1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13966, 289, 13930])).
% 5.73/4.40 tff(13968,plain,
% 5.73/4.40 (((~![V: $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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13969,plain,
% 5.73/4.40 (((~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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13970,plain,
% 5.73/4.40 (((~![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))))),
% 5.73/4.40 inference(monotonicity,[status(thm)],[13969])).
% 5.73/4.40 tff(13971,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(transitivity,[status(thm)],[13970, 13968])).
% 5.73/4.40 tff(13972,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13973,plain,
% 5.73/4.40 ((~![V: $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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 5.73/4.40 tff(13974,plain,
% 5.73/4.40 (~m_main_v_state2(s171, c_n2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13973, 416, 13815, 13907])).
% 5.73/4.40 tff(13975,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13976,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13977,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 5.73/4.40 tff(13978,plain,
% 5.73/4.40 (~node9(s171)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13977, 311, 13974])).
% 5.73/4.40 tff(13979,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13980,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13981,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 5.73/4.40 tff(13982,plain,
% 5.73/4.40 (~node10(s171)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13981, 372, 13974])).
% 5.73/4.40 tff(13983,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13984,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13985,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 5.73/4.40 tff(13986,plain,
% 5.73/4.40 (~node8(s171)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13985, 383, 13974])).
% 5.73/4.40 tff(13987,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13988,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13989,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 5.73/4.40 tff(13990,plain,
% 5.73/4.40 (node14(s171, s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13989, 130, 13921])).
% 5.73/4.40 tff(13991,plain,
% 5.73/4.40 (((~![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(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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13992,plain,
% 5.73/4.40 ((~![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(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))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13993,plain,
% 5.73/4.40 ((~![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(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)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13992, 13991])).
% 5.73/4.40 tff(13994,plain,
% 5.73/4.40 ((~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)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13993, 704, 13990])).
% 5.73/4.40 tff(13995,plain,
% 5.73/4.40 (m_main_v_state2(s172, c_c2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13994, 13986, 13858, 13914, 13982, 13978])).
% 5.73/4.40 tff(13996,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(13997,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(13998,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[13997, 13996])).
% 5.73/4.40 tff(13999,plain,
% 5.73/4.40 (~m_main_v_state2(s172, c_n2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[13998, 716, 13995])).
% 5.73/4.40 tff(14000,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14001,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14002,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 5.73/4.40 tff(14003,plain,
% 5.73/4.40 (~node4(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14002, 162, 13999])).
% 5.73/4.40 tff(14004,plain,
% 5.73/4.40 (succ(s172, s173) <=> succ(s172, s173)),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14005,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 5.73/4.40 tff(14006,plain,
% 5.73/4.40 (succ(s172, s173)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 5.73/4.40 tff(14007,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14008,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14009,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 5.73/4.40 tff(14010,plain,
% 5.73/4.40 (trans(s172, s173)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14009, 14006, 57])).
% 5.73/4.40 tff(14011,plain,
% 5.73/4.40 (((~![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))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14012,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14013,plain,
% 5.73/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173)),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 5.73/4.40 tff(14014,plain,
% 5.73/4.40 (node7(s172, s173)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14013, 217, 14010])).
% 5.73/4.40 tff(14015,plain,
% 5.73/4.40 (((~![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(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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14016,plain,
% 5.73/4.40 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14017,plain,
% 5.73/4.40 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 5.73/4.40 tff(14018,plain,
% 5.73/4.40 (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14017, 745, 14014])).
% 5.73/4.40 tff(14019,plain,
% 5.73/4.40 (node6(s172, s173)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14018, 14003, 13967, 13963, 13959, 13955, 13938])).
% 5.73/4.40 tff(14020,plain,
% 5.73/4.40 (((~![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(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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14021,plain,
% 5.73/4.40 (((~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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14022,plain,
% 5.73/4.40 (((~![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))))),
% 5.73/4.40 inference(monotonicity,[status(thm)],[14021])).
% 5.73/4.40 tff(14023,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(transitivity,[status(thm)],[14022, 14020])).
% 5.73/4.40 tff(14024,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14025,plain,
% 5.73/4.40 ((~![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(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 5.73/4.40 tff(14026,plain,
% 5.73/4.40 (m_main_v_state1(s173, c_t1)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14025, 760, 13930, 14019])).
% 5.73/4.40 tff(14027,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14028,plain,
% 5.73/4.40 ((~![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)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14029,plain,
% 5.73/4.40 ((~![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))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 5.73/4.40 tff(14030,plain,
% 5.73/4.40 (~m_main_v_state2(s172, c_t2)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14029, 173, 13995])).
% 5.73/4.40 tff(14031,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14032,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14033,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 5.73/4.40 tff(14034,plain,
% 5.73/4.40 (~node12(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14033, 778, 14030])).
% 5.73/4.40 tff(14035,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14036,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14037,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14036, 14035])).
% 5.73/4.40 tff(14038,plain,
% 5.73/4.40 (~node11(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14037, 361, 13934])).
% 5.73/4.40 tff(14039,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14040,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14041,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 5.73/4.40 tff(14042,plain,
% 5.73/4.40 (~node10(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14041, 793, 13967])).
% 5.73/4.40 tff(14043,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14044,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14045,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14044, 14043])).
% 5.73/4.40 tff(14046,plain,
% 5.73/4.40 (~node9(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14045, 804, 13934])).
% 5.73/4.40 tff(14047,plain,
% 5.73/4.40 (((~![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)))),
% 5.73/4.40 inference(rewrite,[status(thm)],[])).
% 5.73/4.40 tff(14048,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 5.73/4.40 inference(quant_inst,[status(thm)],[])).
% 5.73/4.40 tff(14049,plain,
% 5.73/4.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172))),
% 5.73/4.40 inference(modus_ponens,[status(thm)],[14048, 14047])).
% 5.73/4.40 tff(14050,plain,
% 5.73/4.40 (~node8(s172)),
% 5.73/4.40 inference(unit_resolution,[status(thm)],[14049, 383, 13999])).
% 5.73/4.41 tff(14051,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14052,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14053,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 5.73/4.41 tff(14054,plain,
% 5.73/4.41 (node14(s172, s173)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14053, 130, 14010])).
% 5.73/4.41 tff(14055,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14056,plain,
% 5.73/4.41 (((~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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14057,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.73/4.41 inference(monotonicity,[status(thm)],[14056])).
% 5.73/4.41 tff(14058,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.41 inference(transitivity,[status(thm)],[14057, 14055])).
% 5.73/4.41 tff(14059,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14060,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 5.73/4.41 tff(14061,plain,
% 5.73/4.41 (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~m_main_v_state2(s172, c_c2))),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14060, 826, 14054])).
% 5.73/4.41 tff(14062,plain,
% 5.73/4.41 (m_main_v_state2(s173, c_n2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14061, 14050, 13995, 14046, 14042, 14038, 14034])).
% 5.73/4.41 tff(14063,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14064,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14065,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 5.73/4.41 tff(14066,plain,
% 5.73/4.41 (~m_main_v_state2(s173, c_t2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14065, 10, 14062])).
% 5.73/4.41 tff(14067,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14068,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14069,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 5.73/4.41 tff(14070,plain,
% 5.73/4.41 (~node15(s173)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14069, 21, 14066])).
% 5.73/4.41 tff(14071,plain,
% 5.73/4.41 (succ(s173, s174) <=> succ(s173, s174)),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14072,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 5.73/4.41 tff(14073,plain,
% 5.73/4.41 (succ(s173, s174)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 5.73/4.41 tff(14074,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14075,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14076,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14075, 14074])).
% 5.73/4.41 tff(14077,plain,
% 5.73/4.41 (trans(s173, s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14076, 14073, 57])).
% 5.73/4.41 tff(14078,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14079,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14080,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 5.73/4.41 tff(14081,plain,
% 5.73/4.41 (node18(s173, s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14080, 71, 14077])).
% 5.73/4.41 tff(14082,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14083,plain,
% 5.73/4.41 (((~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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14084,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.73/4.41 inference(monotonicity,[status(thm)],[14083])).
% 5.73/4.41 tff(14085,plain,
% 5.73/4.41 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.73/4.41 inference(transitivity,[status(thm)],[14084, 14082])).
% 5.73/4.41 tff(14086,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14087,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 5.73/4.41 tff(14088,plain,
% 5.73/4.41 (node15(s173) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14087, 863, 14081])).
% 5.73/4.41 tff(14089,plain,
% 5.73/4.41 (m_main_v_turn(s174, c_1)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14088, 14070, 14062, 14026])).
% 5.73/4.41 tff(14090,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14091,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14092,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 5.73/4.41 tff(14093,plain,
% 5.73/4.41 (~m_main_v_turn(s174, c_2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14092, 322, 14089])).
% 5.73/4.41 tff(14094,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14095,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14096,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 5.73/4.41 tff(14097,plain,
% 5.73/4.41 (~node12(s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14096, 350, 14093])).
% 5.73/4.41 tff(14098,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14099,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14100,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14099, 14098])).
% 5.73/4.41 tff(14101,plain,
% 5.73/4.41 (node14(s173, s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14100, 130, 14077])).
% 5.73/4.41 tff(14102,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14103,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14104,plain,
% 5.73/4.41 ((~![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)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 5.73/4.41 tff(14105,plain,
% 5.73/4.41 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state2(s174, c_t2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14104, 893, 14101])).
% 5.73/4.41 tff(14106,plain,
% 5.73/4.41 (m_main_v_state2(s174, c_t2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14105, 14026, 14062])).
% 5.73/4.41 tff(14107,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14108,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14109,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 5.73/4.41 tff(14110,plain,
% 5.73/4.41 (~m_main_v_state2(s174, c_n2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14109, 10, 14106])).
% 5.73/4.41 tff(14111,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14112,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14113,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14112, 14111])).
% 5.73/4.41 tff(14114,plain,
% 5.73/4.41 (~node8(s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14113, 383, 14110])).
% 5.73/4.41 tff(14115,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14116,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14117,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 5.73/4.41 tff(14118,plain,
% 5.73/4.41 (~node9(s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14117, 311, 14110])).
% 5.73/4.41 tff(14119,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14120,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14121,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14120, 14119])).
% 5.73/4.41 tff(14122,plain,
% 5.73/4.41 (~node10(s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14121, 372, 14110])).
% 5.73/4.41 tff(14123,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14124,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14125,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14124, 14123])).
% 5.73/4.41 tff(14126,plain,
% 5.73/4.41 (~m_main_v_state2(s174, c_c2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14125, 173, 14106])).
% 5.73/4.41 tff(14127,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14128,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14129,plain,
% 5.73/4.41 ((~![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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 5.73/4.41 tff(14130,plain,
% 5.73/4.41 (~m_main_v_state2(s173, c_c2)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14129, 716, 14062])).
% 5.73/4.41 tff(14131,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14132,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14133,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 5.73/4.41 tff(14134,plain,
% 5.73/4.41 (~node3(s173)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14133, 184, 14130])).
% 5.73/4.41 tff(14135,plain,
% 5.73/4.41 (((~![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(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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14136,plain,
% 5.73/4.41 (((~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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14137,plain,
% 5.73/4.41 (((~![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))))),
% 5.73/4.41 inference(monotonicity,[status(thm)],[14136])).
% 5.73/4.41 tff(14138,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(transitivity,[status(thm)],[14137, 14135])).
% 5.73/4.41 tff(14139,plain,
% 5.73/4.41 ((~![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)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14140,plain,
% 5.73/4.41 ((~![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(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 5.73/4.41 tff(14141,plain,
% 5.73/4.41 (~m_main_v_state1(s173, c_n1)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14140, 936, 13934, 14019])).
% 5.73/4.41 tff(14142,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14143,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14144,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 5.73/4.41 tff(14145,plain,
% 5.73/4.41 (~node2(s173)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14144, 652, 14141])).
% 5.73/4.41 tff(14146,plain,
% 5.73/4.41 (((~![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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14147,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14148,plain,
% 5.73/4.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 5.73/4.41 tff(14149,plain,
% 5.73/4.41 (~node1(s173)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14148, 206, 14066])).
% 5.73/4.41 tff(14150,plain,
% 5.73/4.41 (((~![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))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14151,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14152,plain,
% 5.73/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174)),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 5.73/4.41 tff(14153,plain,
% 5.73/4.41 (node7(s173, s174)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14152, 217, 14077])).
% 5.73/4.41 tff(14154,plain,
% 5.73/4.41 (((~![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(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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14155,plain,
% 5.73/4.41 (((~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)))),
% 5.73/4.41 inference(rewrite,[status(thm)],[])).
% 5.73/4.41 tff(14156,plain,
% 5.73/4.41 (((~![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(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))))),
% 5.73/4.41 inference(monotonicity,[status(thm)],[14155])).
% 5.73/4.41 tff(14157,plain,
% 5.73/4.41 (((~![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(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)))),
% 5.73/4.41 inference(transitivity,[status(thm)],[14156, 14154])).
% 5.73/4.41 tff(14158,plain,
% 5.73/4.41 ((~![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(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))),
% 5.73/4.41 inference(quant_inst,[status(thm)],[])).
% 5.73/4.41 tff(14159,plain,
% 5.73/4.41 ((~![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(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))),
% 5.73/4.41 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 5.73/4.41 tff(14160,plain,
% 5.73/4.41 ((~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)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14159, 965, 14153])).
% 5.73/4.41 tff(14161,plain,
% 5.73/4.41 (m_main_v_state1(s174, c_c1)),
% 5.73/4.41 inference(unit_resolution,[status(thm)],[14160, 14149, 14062, 14026, 14145, 14134])).
% 5.73/4.42 tff(14162,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14163,plain,
% 5.73/4.42 ((~![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)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14164,plain,
% 5.73/4.42 ((~![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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 5.73/4.42 tff(14165,plain,
% 5.73/4.42 (~m_main_v_state1(s174, c_n1)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14164, 449, 14161])).
% 5.73/4.42 tff(14166,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14167,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14168,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 5.73/4.42 tff(14169,plain,
% 5.73/4.42 (~node11(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14168, 361, 14165])).
% 5.73/4.42 tff(14170,plain,
% 5.73/4.42 (succ(s174, s175) <=> succ(s174, s175)),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14171,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 5.73/4.42 tff(14172,plain,
% 5.73/4.42 (succ(s174, s175)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 5.73/4.42 tff(14173,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14174,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14175,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 5.73/4.42 tff(14176,plain,
% 5.73/4.42 (trans(s174, s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14175, 14172, 57])).
% 5.73/4.42 tff(14177,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14178,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14179,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 5.73/4.42 tff(14180,plain,
% 5.73/4.42 (node14(s174, s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14179, 130, 14176])).
% 5.73/4.42 tff(14181,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14182,plain,
% 5.73/4.42 ((~![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)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14183,plain,
% 5.73/4.42 ((~![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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 5.73/4.42 tff(14184,plain,
% 5.73/4.42 (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14183, 401, 14180])).
% 5.73/4.42 tff(14185,plain,
% 5.73/4.42 (node13(s174, s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14184, 14169, 14126, 14122, 14118, 14114, 14097])).
% 5.73/4.42 tff(14186,plain,
% 5.73/4.42 (((~![V: $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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14187,plain,
% 5.73/4.42 (((~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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14188,plain,
% 5.73/4.42 (((~![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))))),
% 5.73/4.42 inference(monotonicity,[status(thm)],[14187])).
% 5.73/4.42 tff(14189,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(transitivity,[status(thm)],[14188, 14186])).
% 5.73/4.42 tff(14190,plain,
% 5.73/4.42 ((~![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)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14191,plain,
% 5.73/4.42 ((~![V: $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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 5.73/4.42 tff(14192,plain,
% 5.73/4.42 (~m_main_v_state2(s175, c_n2)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14191, 416, 14110, 14185])).
% 5.73/4.42 tff(14193,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14194,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14195,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 5.73/4.42 tff(14196,plain,
% 5.73/4.42 (~node9(s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14195, 311, 14192])).
% 5.73/4.42 tff(14197,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14198,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14199,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 5.73/4.42 tff(14200,plain,
% 5.73/4.42 (~node10(s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14199, 372, 14192])).
% 5.73/4.42 tff(14201,plain,
% 5.73/4.42 (((~![V: $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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14202,plain,
% 5.73/4.42 (((~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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14203,plain,
% 5.73/4.42 (((~![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))))),
% 5.73/4.42 inference(monotonicity,[status(thm)],[14202])).
% 5.73/4.42 tff(14204,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(transitivity,[status(thm)],[14203, 14201])).
% 5.73/4.42 tff(14205,plain,
% 5.73/4.42 ((~![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))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14206,plain,
% 5.73/4.42 ((~![V: $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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 5.73/4.42 tff(14207,plain,
% 5.73/4.42 (m_main_v_state2(s175, c_t2)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14206, 563, 14106, 14185])).
% 5.73/4.42 tff(14208,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14209,plain,
% 5.73/4.42 ((~![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)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14210,plain,
% 5.73/4.42 ((~![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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14209, 14208])).
% 5.73/4.42 tff(14211,plain,
% 5.73/4.42 (~m_main_v_state1(s174, c_t1)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14210, 289, 14161])).
% 5.73/4.42 tff(14212,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14213,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14214,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 5.73/4.42 tff(14215,plain,
% 5.73/4.42 (~node5(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14214, 300, 14211])).
% 5.73/4.42 tff(14216,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14217,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14218,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 5.73/4.42 tff(14219,plain,
% 5.73/4.42 (~node4(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14218, 162, 14110])).
% 5.73/4.42 tff(14220,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14221,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14222,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 5.73/4.42 tff(14223,plain,
% 5.73/4.42 (~node3(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14222, 184, 14126])).
% 5.73/4.42 tff(14224,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14225,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14226,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 5.73/4.42 tff(14227,plain,
% 5.73/4.42 (~node2(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14226, 195, 14110])).
% 5.73/4.42 tff(14228,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14229,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14230,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 5.73/4.42 tff(14231,plain,
% 5.73/4.42 (~node1(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14230, 249, 14165])).
% 5.73/4.42 tff(14232,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14233,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14234,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 5.73/4.42 tff(14235,plain,
% 5.73/4.42 (node7(s174, s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14234, 217, 14176])).
% 5.73/4.42 tff(14236,plain,
% 5.73/4.42 (((~![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(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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14237,plain,
% 5.73/4.42 (((~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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14238,plain,
% 5.73/4.42 (((~![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(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))))),
% 5.73/4.42 inference(monotonicity,[status(thm)],[14237])).
% 5.73/4.42 tff(14239,plain,
% 5.73/4.42 (((~![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(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)))),
% 5.73/4.42 inference(transitivity,[status(thm)],[14238, 14236])).
% 5.73/4.42 tff(14240,plain,
% 5.73/4.42 ((~![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(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14241,plain,
% 5.73/4.42 ((~![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(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 5.73/4.42 tff(14242,plain,
% 5.73/4.42 (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14241, 478, 14235])).
% 5.73/4.42 tff(14243,plain,
% 5.73/4.42 (m_main_v_state1(s175, c_n1)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14242, 14231, 14161, 14227, 14223, 14219, 14215])).
% 5.73/4.42 tff(14244,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14245,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14246,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 5.73/4.42 tff(14247,plain,
% 5.73/4.42 (~node8(s175)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14246, 383, 14192])).
% 5.73/4.42 tff(14248,plain,
% 5.73/4.42 (succ(s175, s176) <=> succ(s175, s176)),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14249,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 5.73/4.42 tff(14250,plain,
% 5.73/4.42 (succ(s175, s176)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 5.73/4.42 tff(14251,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14252,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14253,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 5.73/4.42 tff(14254,plain,
% 5.73/4.42 (trans(s175, s176)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14253, 14250, 57])).
% 5.73/4.42 tff(14255,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14256,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14257,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 5.73/4.42 tff(14258,plain,
% 5.73/4.42 (node14(s175, s176)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14257, 130, 14254])).
% 5.73/4.42 tff(14259,plain,
% 5.73/4.42 (((~![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(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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14260,plain,
% 5.73/4.42 ((~![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(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))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14261,plain,
% 5.73/4.42 ((~![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(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)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 5.73/4.42 tff(14262,plain,
% 5.73/4.42 ((~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)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14261, 704, 14258])).
% 5.73/4.42 tff(14263,plain,
% 5.73/4.42 (m_main_v_state2(s176, c_c2)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14262, 14247, 14243, 14207, 14200, 14196])).
% 5.73/4.42 tff(14264,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14265,plain,
% 5.73/4.42 ((~![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)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14266,plain,
% 5.73/4.42 ((~![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))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 5.73/4.42 tff(14267,plain,
% 5.73/4.42 (~m_main_v_state2(s176, c_t2)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14266, 173, 14263])).
% 5.73/4.42 tff(14268,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14269,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14270,plain,
% 5.73/4.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176))),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 5.73/4.42 tff(14271,plain,
% 5.73/4.42 (~node12(s176)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14270, 778, 14267])).
% 5.73/4.42 tff(14272,plain,
% 5.73/4.42 (((~![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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14273,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14274,plain,
% 5.73/4.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 5.73/4.42 tff(14275,plain,
% 5.73/4.42 (node7(s175, s176)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14274, 217, 14254])).
% 5.73/4.42 tff(14276,plain,
% 5.73/4.42 (((~![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(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))),
% 5.73/4.42 inference(rewrite,[status(thm)],[])).
% 5.73/4.42 tff(14277,plain,
% 5.73/4.42 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 5.73/4.42 inference(quant_inst,[status(thm)],[])).
% 5.73/4.42 tff(14278,plain,
% 5.73/4.42 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1)),
% 5.73/4.42 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 5.73/4.42 tff(14279,plain,
% 5.73/4.42 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_state1(s176, c_t1)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14278, 598, 14275])).
% 5.73/4.42 tff(14280,plain,
% 5.73/4.42 (m_main_v_state1(s176, c_t1)),
% 5.73/4.42 inference(unit_resolution,[status(thm)],[14279, 14207, 14243])).
% 5.73/4.42 tff(14281,plain,
% 5.73/4.42 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14282,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14283,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 5.73/4.43 tff(14284,plain,
% 5.73/4.43 (~m_main_v_state1(s176, c_n1)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14283, 35, 14280])).
% 5.73/4.43 tff(14285,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14286,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14287,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 5.73/4.43 tff(14288,plain,
% 5.73/4.43 (~node11(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14287, 361, 14284])).
% 5.73/4.43 tff(14289,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14290,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14291,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 5.73/4.43 tff(14292,plain,
% 5.73/4.43 (~m_main_v_state1(s176, c_c1)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14291, 289, 14280])).
% 5.73/4.43 tff(14293,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14294,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14295,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 5.73/4.43 tff(14296,plain,
% 5.73/4.43 (~node10(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14295, 793, 14292])).
% 5.73/4.43 tff(14297,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14298,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14299,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 5.73/4.43 tff(14300,plain,
% 5.73/4.43 (~node9(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14299, 804, 14284])).
% 5.73/4.43 tff(14301,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14302,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14303,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 5.73/4.43 tff(14304,plain,
% 5.73/4.43 (~m_main_v_state2(s176, c_n2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14303, 716, 14263])).
% 5.73/4.43 tff(14305,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14306,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14307,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 5.73/4.43 tff(14308,plain,
% 5.73/4.43 (~node8(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14307, 383, 14304])).
% 5.73/4.43 tff(14309,plain,
% 5.73/4.43 (succ(s176, s177) <=> succ(s176, s177)),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14310,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 5.73/4.43 tff(14311,plain,
% 5.73/4.43 (succ(s176, s177)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14310, 14309])).
% 5.73/4.43 tff(14312,plain,
% 5.73/4.43 (((~![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))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14313,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14314,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 5.73/4.43 tff(14315,plain,
% 5.73/4.43 (trans(s176, s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14314, 14311, 57])).
% 5.73/4.43 tff(14316,plain,
% 5.73/4.43 (((~![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))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14317,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14318,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 5.73/4.43 tff(14319,plain,
% 5.73/4.43 (node14(s176, s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14318, 130, 14315])).
% 5.73/4.43 tff(14320,plain,
% 5.73/4.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14321,plain,
% 5.73/4.43 (((~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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14322,plain,
% 5.73/4.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.73/4.43 inference(monotonicity,[status(thm)],[14321])).
% 5.73/4.43 tff(14323,plain,
% 5.73/4.43 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.43 inference(transitivity,[status(thm)],[14322, 14320])).
% 5.73/4.43 tff(14324,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14325,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14324, 14323])).
% 5.73/4.43 tff(14326,plain,
% 5.73/4.43 (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~m_main_v_state2(s176, c_c2))),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14325, 826, 14319])).
% 5.73/4.43 tff(14327,plain,
% 5.73/4.43 (m_main_v_state2(s177, c_n2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14326, 14308, 14263, 14300, 14296, 14288, 14271])).
% 5.73/4.43 tff(14328,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14329,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14330,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 5.73/4.43 tff(14331,plain,
% 5.73/4.43 (~m_main_v_state2(s177, c_c2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14330, 716, 14327])).
% 5.73/4.43 tff(14332,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14333,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14334,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 5.73/4.43 tff(14335,plain,
% 5.73/4.43 (~node3(s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14334, 184, 14331])).
% 5.73/4.43 tff(14336,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14337,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14338,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 5.73/4.43 tff(14339,plain,
% 5.73/4.43 (~node1(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14338, 249, 14284])).
% 5.73/4.43 tff(14340,plain,
% 5.73/4.43 (((~![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))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14341,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14342,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14341, 14340])).
% 5.73/4.43 tff(14343,plain,
% 5.73/4.43 (node18(s175, s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14342, 71, 14254])).
% 5.73/4.43 tff(14344,plain,
% 5.73/4.43 (((~![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(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))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14345,plain,
% 5.73/4.43 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14346,plain,
% 5.73/4.43 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14345, 14344])).
% 5.73/4.43 tff(14347,plain,
% 5.73/4.43 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_turn(s176, c_2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14346, 625, 14343])).
% 5.73/4.43 tff(14348,plain,
% 5.73/4.43 (m_main_v_turn(s176, c_2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14347, 14207, 14243])).
% 5.73/4.43 tff(14349,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14350,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14351,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 5.73/4.43 tff(14352,plain,
% 5.73/4.43 (~m_main_v_turn(s176, c_1)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14351, 322, 14348])).
% 5.73/4.43 tff(14353,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14354,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14355,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 5.73/4.43 tff(14356,plain,
% 5.73/4.43 (~node5(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14355, 641, 14352])).
% 5.73/4.43 tff(14357,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14358,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14359,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 5.73/4.43 tff(14360,plain,
% 5.73/4.43 (~node2(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14359, 652, 14284])).
% 5.73/4.43 tff(14361,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14362,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14363,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 5.73/4.43 tff(14364,plain,
% 5.73/4.43 (~node3(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14363, 663, 14284])).
% 5.73/4.43 tff(14365,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14366,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14367,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 5.73/4.43 tff(14368,plain,
% 5.73/4.43 (~node4(s176)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14367, 162, 14304])).
% 5.73/4.43 tff(14369,plain,
% 5.73/4.43 (((~![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))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14370,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14371,plain,
% 5.73/4.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177)),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 5.73/4.43 tff(14372,plain,
% 5.73/4.43 (node7(s176, s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14371, 217, 14315])).
% 5.73/4.43 tff(14373,plain,
% 5.73/4.43 (((~![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(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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14374,plain,
% 5.73/4.43 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14375,plain,
% 5.73/4.43 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 5.73/4.43 tff(14376,plain,
% 5.73/4.43 (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14375, 745, 14372])).
% 5.73/4.43 tff(14377,plain,
% 5.73/4.43 (node6(s176, s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14376, 14368, 14292, 14364, 14360, 14356, 14339])).
% 5.73/4.43 tff(14378,plain,
% 5.73/4.43 (((~![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(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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14379,plain,
% 5.73/4.43 (((~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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14380,plain,
% 5.73/4.43 (((~![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))))),
% 5.73/4.43 inference(monotonicity,[status(thm)],[14379])).
% 5.73/4.43 tff(14381,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(transitivity,[status(thm)],[14380, 14378])).
% 5.73/4.43 tff(14382,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14383,plain,
% 5.73/4.43 ((~![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(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 5.73/4.43 tff(14384,plain,
% 5.73/4.43 (~m_main_v_state1(s177, c_n1)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14383, 936, 14284, 14377])).
% 5.73/4.43 tff(14385,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14386,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14387,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 5.73/4.43 tff(14388,plain,
% 5.73/4.43 (~node2(s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14387, 652, 14384])).
% 5.73/4.43 tff(14389,plain,
% 5.73/4.43 (((~![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(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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14390,plain,
% 5.73/4.43 (((~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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14391,plain,
% 5.73/4.43 (((~![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))))),
% 5.73/4.43 inference(monotonicity,[status(thm)],[14390])).
% 5.73/4.43 tff(14392,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(transitivity,[status(thm)],[14391, 14389])).
% 5.73/4.43 tff(14393,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14394,plain,
% 5.73/4.43 ((~![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(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 5.73/4.43 tff(14395,plain,
% 5.73/4.43 (m_main_v_state1(s177, c_t1)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14394, 760, 14280, 14377])).
% 5.73/4.43 tff(14396,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14397,plain,
% 5.73/4.43 ((~![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)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14398,plain,
% 5.73/4.43 ((~![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))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 5.73/4.43 tff(14399,plain,
% 5.73/4.43 (~m_main_v_state2(s177, c_t2)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14398, 10, 14327])).
% 5.73/4.43 tff(14400,plain,
% 5.73/4.43 (((~![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)))),
% 5.73/4.43 inference(rewrite,[status(thm)],[])).
% 5.73/4.43 tff(14401,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 5.73/4.43 inference(quant_inst,[status(thm)],[])).
% 5.73/4.43 tff(14402,plain,
% 5.73/4.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177))),
% 5.73/4.43 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 5.73/4.43 tff(14403,plain,
% 5.73/4.43 (~node1(s177)),
% 5.73/4.43 inference(unit_resolution,[status(thm)],[14402, 206, 14399])).
% 5.73/4.43 tff(14404,plain,
% 5.73/4.43 (succ(s177, s178) <=> succ(s177, s178)),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14405,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 5.73/4.44 tff(14406,plain,
% 5.73/4.44 (succ(s177, s178)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 5.73/4.44 tff(14407,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14408,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14409,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 5.73/4.44 tff(14410,plain,
% 5.73/4.44 (trans(s177, s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14409, 14406, 57])).
% 5.73/4.44 tff(14411,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14412,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14413,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 5.73/4.44 tff(14414,plain,
% 5.73/4.44 (node7(s177, s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14413, 217, 14410])).
% 5.73/4.44 tff(14415,plain,
% 5.73/4.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14416,plain,
% 5.73/4.44 (((~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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14417,plain,
% 5.73/4.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.73/4.44 inference(monotonicity,[status(thm)],[14416])).
% 5.73/4.44 tff(14418,plain,
% 5.73/4.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.73/4.44 inference(transitivity,[status(thm)],[14417, 14415])).
% 5.73/4.44 tff(14419,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14420,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 5.73/4.44 tff(14421,plain,
% 5.73/4.44 ((~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)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14420, 965, 14414])).
% 5.73/4.44 tff(14422,plain,
% 5.73/4.44 (m_main_v_state1(s178, c_c1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14421, 14403, 14327, 14395, 14388, 14335])).
% 5.73/4.44 tff(14423,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14424,plain,
% 5.73/4.44 ((~![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)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14425,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14424, 14423])).
% 5.73/4.44 tff(14426,plain,
% 5.73/4.44 (~m_main_v_state1(s178, c_t1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14425, 289, 14422])).
% 5.73/4.44 tff(14427,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14428,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14429,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 5.73/4.44 tff(14430,plain,
% 5.73/4.44 (~node5(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14429, 300, 14426])).
% 5.73/4.44 tff(14431,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14432,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14433,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14432, 14431])).
% 5.73/4.44 tff(14434,plain,
% 5.73/4.44 (node14(s177, s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14433, 130, 14410])).
% 5.73/4.44 tff(14435,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14436,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14437,plain,
% 5.73/4.44 ((~![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)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14436, 14435])).
% 5.73/4.44 tff(14438,plain,
% 5.73/4.44 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state2(s178, c_t2)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14437, 893, 14434])).
% 5.73/4.44 tff(14439,plain,
% 5.73/4.44 (m_main_v_state2(s178, c_t2)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14438, 14395, 14327])).
% 5.73/4.44 tff(14440,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14441,plain,
% 5.73/4.44 ((~![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)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14442,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14441, 14440])).
% 5.73/4.44 tff(14443,plain,
% 5.73/4.44 (~m_main_v_state2(s178, c_n2)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14442, 10, 14439])).
% 5.73/4.44 tff(14444,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14445,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14446,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 5.73/4.44 tff(14447,plain,
% 5.73/4.44 (~node4(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14446, 162, 14443])).
% 5.73/4.44 tff(14448,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14449,plain,
% 5.73/4.44 ((~![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)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14450,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14449, 14448])).
% 5.73/4.44 tff(14451,plain,
% 5.73/4.44 (~m_main_v_state2(s178, c_c2)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14450, 173, 14439])).
% 5.73/4.44 tff(14452,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14453,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14454,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 5.73/4.44 tff(14455,plain,
% 5.73/4.44 (~node3(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14454, 184, 14451])).
% 5.73/4.44 tff(14456,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14457,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14458,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 5.73/4.44 tff(14459,plain,
% 5.73/4.44 (~node2(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14458, 195, 14443])).
% 5.73/4.44 tff(14460,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14461,plain,
% 5.73/4.44 ((~![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)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14462,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 5.73/4.44 tff(14463,plain,
% 5.73/4.44 (~m_main_v_state1(s178, c_n1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14462, 449, 14422])).
% 5.73/4.44 tff(14464,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14465,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14466,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 5.73/4.44 tff(14467,plain,
% 5.73/4.44 (~node1(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14466, 249, 14463])).
% 5.73/4.44 tff(14468,plain,
% 5.73/4.44 (succ(s178, s179) <=> succ(s178, s179)),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14469,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 5.73/4.44 tff(14470,plain,
% 5.73/4.44 (succ(s178, s179)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14469, 14468])).
% 5.73/4.44 tff(14471,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14472,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14473,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 5.73/4.44 tff(14474,plain,
% 5.73/4.44 (trans(s178, s179)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14473, 14470, 57])).
% 5.73/4.44 tff(14475,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14476,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14477,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 5.73/4.44 tff(14478,plain,
% 5.73/4.44 (node7(s178, s179)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14477, 217, 14474])).
% 5.73/4.44 tff(14479,plain,
% 5.73/4.44 (((~![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(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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14480,plain,
% 5.73/4.44 (((~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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14481,plain,
% 5.73/4.44 (((~![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(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))))),
% 5.73/4.44 inference(monotonicity,[status(thm)],[14480])).
% 5.73/4.44 tff(14482,plain,
% 5.73/4.44 (((~![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(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)))),
% 5.73/4.44 inference(transitivity,[status(thm)],[14481, 14479])).
% 5.73/4.44 tff(14483,plain,
% 5.73/4.44 ((~![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(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14484,plain,
% 5.73/4.44 ((~![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(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 5.73/4.44 tff(14485,plain,
% 5.73/4.44 (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14484, 478, 14478])).
% 5.73/4.44 tff(14486,plain,
% 5.73/4.44 (m_main_v_state1(s179, c_n1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14485, 14467, 14422, 14459, 14455, 14447, 14430])).
% 5.73/4.44 tff(14487,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14488,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14489,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 5.73/4.44 tff(14490,plain,
% 5.73/4.44 (~node15(s177)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14489, 21, 14399])).
% 5.73/4.44 tff(14491,plain,
% 5.73/4.44 (((~![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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14492,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14493,plain,
% 5.73/4.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 5.73/4.44 tff(14494,plain,
% 5.73/4.44 (node18(s177, s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14493, 71, 14410])).
% 5.73/4.44 tff(14495,plain,
% 5.73/4.44 (((~![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(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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14496,plain,
% 5.73/4.44 (((~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))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14497,plain,
% 5.73/4.44 (((~![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(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)))),
% 5.73/4.44 inference(monotonicity,[status(thm)],[14496])).
% 5.73/4.44 tff(14498,plain,
% 5.73/4.44 (((~![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(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))),
% 5.73/4.44 inference(transitivity,[status(thm)],[14497, 14495])).
% 5.73/4.44 tff(14499,plain,
% 5.73/4.44 ((~![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(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14500,plain,
% 5.73/4.44 ((~![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(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)),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 5.73/4.44 tff(14501,plain,
% 5.73/4.44 (node15(s177) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14500, 863, 14494])).
% 5.73/4.44 tff(14502,plain,
% 5.73/4.44 (m_main_v_turn(s178, c_1)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14501, 14490, 14327, 14395])).
% 5.73/4.44 tff(14503,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14504,plain,
% 5.73/4.44 ((~![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)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14505,plain,
% 5.73/4.44 ((~![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))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 5.73/4.44 tff(14506,plain,
% 5.73/4.44 (~m_main_v_turn(s178, c_2)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14505, 322, 14502])).
% 5.73/4.44 tff(14507,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14508,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14509,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 5.73/4.44 tff(14510,plain,
% 5.73/4.44 (~node12(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14509, 350, 14506])).
% 5.73/4.44 tff(14511,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14512,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14513,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 5.73/4.44 tff(14514,plain,
% 5.73/4.44 (~node8(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14513, 383, 14443])).
% 5.73/4.44 tff(14515,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14516,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14517,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178))),
% 5.73/4.44 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 5.73/4.44 tff(14518,plain,
% 5.73/4.44 (~node9(s178)),
% 5.73/4.44 inference(unit_resolution,[status(thm)],[14517, 311, 14443])).
% 5.73/4.44 tff(14519,plain,
% 5.73/4.44 (((~![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)))),
% 5.73/4.44 inference(rewrite,[status(thm)],[])).
% 5.73/4.44 tff(14520,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 5.73/4.44 inference(quant_inst,[status(thm)],[])).
% 5.73/4.44 tff(14521,plain,
% 5.73/4.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 5.73/4.45 tff(14522,plain,
% 5.73/4.45 (~node10(s178)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14521, 372, 14443])).
% 5.73/4.45 tff(14523,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14524,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14525,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 5.73/4.45 tff(14526,plain,
% 5.73/4.45 (~node11(s178)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14525, 361, 14463])).
% 5.73/4.45 tff(14527,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14528,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14529,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14528, 14527])).
% 5.73/4.45 tff(14530,plain,
% 5.73/4.45 (node14(s178, s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14529, 130, 14474])).
% 5.73/4.45 tff(14531,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14532,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14533,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 5.73/4.45 tff(14534,plain,
% 5.73/4.45 (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14533, 401, 14530])).
% 5.73/4.45 tff(14535,plain,
% 5.73/4.45 (node13(s178, s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14534, 14526, 14451, 14522, 14518, 14514, 14510])).
% 5.73/4.45 tff(14536,plain,
% 5.73/4.45 (((~![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(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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14537,plain,
% 5.73/4.45 (((~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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14538,plain,
% 5.73/4.45 (((~![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))))),
% 5.73/4.45 inference(monotonicity,[status(thm)],[14537])).
% 5.73/4.45 tff(14539,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(transitivity,[status(thm)],[14538, 14536])).
% 5.73/4.45 tff(14540,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14541,plain,
% 5.73/4.45 ((~![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(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 5.73/4.45 tff(14542,plain,
% 5.73/4.45 (m_main_v_state2(s179, c_t2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14541, 563, 14439, 14535])).
% 5.73/4.45 tff(14543,plain,
% 5.73/4.45 (succ(s179, s180) <=> succ(s179, s180)),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14544,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 5.73/4.45 tff(14545,plain,
% 5.73/4.45 (succ(s179, s180)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14544, 14543])).
% 5.73/4.45 tff(14546,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14547,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14548,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 5.73/4.45 tff(14549,plain,
% 5.73/4.45 (trans(s179, s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14548, 14545, 57])).
% 5.73/4.45 tff(14550,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14551,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14552,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14551, 14550])).
% 5.73/4.45 tff(14553,plain,
% 5.73/4.45 (node7(s179, s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14552, 217, 14549])).
% 5.73/4.45 tff(14554,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14555,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14556,plain,
% 5.73/4.45 ((~![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)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14555, 14554])).
% 5.73/4.45 tff(14557,plain,
% 5.73/4.45 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_state1(s180, c_t1)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14556, 598, 14553])).
% 5.73/4.45 tff(14558,plain,
% 5.73/4.45 (m_main_v_state1(s180, c_t1)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14557, 14542, 14486])).
% 5.73/4.45 tff(14559,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14560,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14561,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14560, 14559])).
% 5.73/4.45 tff(14562,plain,
% 5.73/4.45 (~m_main_v_state1(s180, c_n1)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14561, 35, 14558])).
% 5.73/4.45 tff(14563,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14564,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14565,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14564, 14563])).
% 5.73/4.45 tff(14566,plain,
% 5.73/4.45 (~node1(s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14565, 249, 14562])).
% 5.73/4.45 tff(14567,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14568,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14569,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 5.73/4.45 tff(14570,plain,
% 5.73/4.45 (node18(s179, s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14569, 71, 14549])).
% 5.73/4.45 tff(14571,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14572,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14573,plain,
% 5.73/4.45 ((~![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)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 5.73/4.45 tff(14574,plain,
% 5.73/4.45 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_turn(s180, c_2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14573, 625, 14570])).
% 5.73/4.45 tff(14575,plain,
% 5.73/4.45 (m_main_v_turn(s180, c_2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14574, 14542, 14486])).
% 5.73/4.45 tff(14576,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14577,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14578,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 5.73/4.45 tff(14579,plain,
% 5.73/4.45 (~m_main_v_turn(s180, c_1)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14578, 322, 14575])).
% 5.73/4.45 tff(14580,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14581,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14582,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14581, 14580])).
% 5.73/4.45 tff(14583,plain,
% 5.73/4.45 (~node5(s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14582, 641, 14579])).
% 5.73/4.45 tff(14584,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14585,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14586,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14585, 14584])).
% 5.73/4.45 tff(14587,plain,
% 5.73/4.45 (~node2(s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14586, 652, 14562])).
% 5.73/4.45 tff(14588,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14589,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14590,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14589, 14588])).
% 5.73/4.45 tff(14591,plain,
% 5.73/4.45 (~node3(s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14590, 663, 14562])).
% 5.73/4.45 tff(14592,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14593,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14594,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 5.73/4.45 tff(14595,plain,
% 5.73/4.45 (~m_main_v_state1(s180, c_c1)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14594, 289, 14558])).
% 5.73/4.45 tff(14596,plain,
% 5.73/4.45 (((~![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(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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14597,plain,
% 5.73/4.45 (((~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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14598,plain,
% 5.73/4.45 (((~![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))))),
% 5.73/4.45 inference(monotonicity,[status(thm)],[14597])).
% 5.73/4.45 tff(14599,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(transitivity,[status(thm)],[14598, 14596])).
% 5.73/4.45 tff(14600,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14601,plain,
% 5.73/4.45 ((~![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(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 5.73/4.45 tff(14602,plain,
% 5.73/4.45 (~m_main_v_state2(s179, c_n2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14601, 416, 14443, 14535])).
% 5.73/4.45 tff(14603,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14604,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14605,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 5.73/4.45 tff(14606,plain,
% 5.73/4.45 (~node9(s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14605, 311, 14602])).
% 5.73/4.45 tff(14607,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14608,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14609,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 5.73/4.45 tff(14610,plain,
% 5.73/4.45 (~node10(s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14609, 372, 14602])).
% 5.73/4.45 tff(14611,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14612,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14613,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 5.73/4.45 tff(14614,plain,
% 5.73/4.45 (~node8(s179)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14613, 383, 14602])).
% 5.73/4.45 tff(14615,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14616,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14617,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 5.73/4.45 tff(14618,plain,
% 5.73/4.45 (node14(s179, s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14617, 130, 14549])).
% 5.73/4.45 tff(14619,plain,
% 5.73/4.45 (((~![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(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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14620,plain,
% 5.73/4.45 ((~![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(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))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14621,plain,
% 5.73/4.45 ((~![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(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)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 5.73/4.45 tff(14622,plain,
% 5.73/4.45 ((~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)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14621, 704, 14618])).
% 5.73/4.45 tff(14623,plain,
% 5.73/4.45 (m_main_v_state2(s180, c_c2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14622, 14614, 14486, 14542, 14610, 14606])).
% 5.73/4.45 tff(14624,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14625,plain,
% 5.73/4.45 ((~![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)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14626,plain,
% 5.73/4.45 ((~![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))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 5.73/4.45 tff(14627,plain,
% 5.73/4.45 (~m_main_v_state2(s180, c_n2)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14626, 716, 14623])).
% 5.73/4.45 tff(14628,plain,
% 5.73/4.45 (((~![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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14629,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14630,plain,
% 5.73/4.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 5.73/4.45 tff(14631,plain,
% 5.73/4.45 (~node4(s180)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14630, 162, 14627])).
% 5.73/4.45 tff(14632,plain,
% 5.73/4.45 (succ(s180, s181) <=> succ(s180, s181)),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14633,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 5.73/4.45 tff(14634,plain,
% 5.73/4.45 (succ(s180, s181)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 5.73/4.45 tff(14635,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14636,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14637,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 5.73/4.45 tff(14638,plain,
% 5.73/4.45 (trans(s180, s181)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14637, 14634, 57])).
% 5.73/4.45 tff(14639,plain,
% 5.73/4.45 (((~![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))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14640,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14641,plain,
% 5.73/4.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181)),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14640, 14639])).
% 5.73/4.45 tff(14642,plain,
% 5.73/4.45 (node7(s180, s181)),
% 5.73/4.45 inference(unit_resolution,[status(thm)],[14641, 217, 14638])).
% 5.73/4.45 tff(14643,plain,
% 5.73/4.45 (((~![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(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)))),
% 5.73/4.45 inference(rewrite,[status(thm)],[])).
% 5.73/4.45 tff(14644,plain,
% 5.73/4.45 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 5.73/4.45 inference(quant_inst,[status(thm)],[])).
% 5.73/4.45 tff(14645,plain,
% 5.73/4.45 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181))),
% 5.73/4.45 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 5.73/4.45 tff(14646,plain,
% 5.73/4.45 (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14645, 745, 14642])).
% 5.73/4.46 tff(14647,plain,
% 5.73/4.46 (node6(s180, s181)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14646, 14631, 14595, 14591, 14587, 14583, 14566])).
% 5.73/4.46 tff(14648,plain,
% 5.73/4.46 (((~![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(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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14649,plain,
% 5.73/4.46 (((~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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14650,plain,
% 5.73/4.46 (((~![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))))),
% 5.73/4.46 inference(monotonicity,[status(thm)],[14649])).
% 5.73/4.46 tff(14651,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(transitivity,[status(thm)],[14650, 14648])).
% 5.73/4.46 tff(14652,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14653,plain,
% 5.73/4.46 ((~![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(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14652, 14651])).
% 5.73/4.46 tff(14654,plain,
% 5.73/4.46 (m_main_v_state1(s181, c_t1)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14653, 760, 14558, 14647])).
% 5.73/4.46 tff(14655,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14656,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14657,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14656, 14655])).
% 5.73/4.46 tff(14658,plain,
% 5.73/4.46 (~m_main_v_state2(s180, c_t2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14657, 173, 14623])).
% 5.73/4.46 tff(14659,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14660,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14661,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14660, 14659])).
% 5.73/4.46 tff(14662,plain,
% 5.73/4.46 (~node12(s180)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14661, 778, 14658])).
% 5.73/4.46 tff(14663,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14664,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14665,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 5.73/4.46 tff(14666,plain,
% 5.73/4.46 (~node11(s180)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14665, 361, 14562])).
% 5.73/4.46 tff(14667,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14668,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14669,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 5.73/4.46 tff(14670,plain,
% 5.73/4.46 (~node10(s180)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14669, 793, 14595])).
% 5.73/4.46 tff(14671,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14672,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14673,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 5.73/4.46 tff(14674,plain,
% 5.73/4.46 (~node9(s180)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14673, 804, 14562])).
% 5.73/4.46 tff(14675,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14676,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14677,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 5.73/4.46 tff(14678,plain,
% 5.73/4.46 (~node8(s180)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14677, 383, 14627])).
% 5.73/4.46 tff(14679,plain,
% 5.73/4.46 (((~![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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14680,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14681,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 5.73/4.46 tff(14682,plain,
% 5.73/4.46 (node14(s180, s181)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14681, 130, 14638])).
% 5.73/4.46 tff(14683,plain,
% 5.73/4.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14684,plain,
% 5.73/4.46 (((~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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14685,plain,
% 5.73/4.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.73/4.46 inference(monotonicity,[status(thm)],[14684])).
% 5.73/4.46 tff(14686,plain,
% 5.73/4.46 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.73/4.46 inference(transitivity,[status(thm)],[14685, 14683])).
% 5.73/4.46 tff(14687,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14688,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14687, 14686])).
% 5.73/4.46 tff(14689,plain,
% 5.73/4.46 (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~m_main_v_state2(s180, c_c2))),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14688, 826, 14682])).
% 5.73/4.46 tff(14690,plain,
% 5.73/4.46 (m_main_v_state2(s181, c_n2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14689, 14678, 14623, 14674, 14670, 14666, 14662])).
% 5.73/4.46 tff(14691,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14692,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14693,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 5.73/4.46 tff(14694,plain,
% 5.73/4.46 (~m_main_v_state2(s181, c_t2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14693, 10, 14690])).
% 5.73/4.46 tff(14695,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14696,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14697,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 5.73/4.46 tff(14698,plain,
% 5.73/4.46 (~node15(s181)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14697, 21, 14694])).
% 5.73/4.46 tff(14699,plain,
% 5.73/4.46 (succ(s181, s182) <=> succ(s181, s182)),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14700,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 5.73/4.46 tff(14701,plain,
% 5.73/4.46 (succ(s181, s182)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 5.73/4.46 tff(14702,plain,
% 5.73/4.46 (((~![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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14703,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14704,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14703, 14702])).
% 5.73/4.46 tff(14705,plain,
% 5.73/4.46 (trans(s181, s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14704, 14701, 57])).
% 5.73/4.46 tff(14706,plain,
% 5.73/4.46 (((~![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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14707,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14708,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 5.73/4.46 tff(14709,plain,
% 5.73/4.46 (node18(s181, s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14708, 71, 14705])).
% 5.73/4.46 tff(14710,plain,
% 5.73/4.46 (((~![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(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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14711,plain,
% 5.73/4.46 (((~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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14712,plain,
% 5.73/4.46 (((~![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(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)))),
% 5.73/4.46 inference(monotonicity,[status(thm)],[14711])).
% 5.73/4.46 tff(14713,plain,
% 5.73/4.46 (((~![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(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))),
% 5.73/4.46 inference(transitivity,[status(thm)],[14712, 14710])).
% 5.73/4.46 tff(14714,plain,
% 5.73/4.46 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14715,plain,
% 5.73/4.46 ((~![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(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)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 5.73/4.46 tff(14716,plain,
% 5.73/4.46 (node15(s181) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14715, 863, 14709])).
% 5.73/4.46 tff(14717,plain,
% 5.73/4.46 (m_main_v_turn(s182, c_1)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14716, 14698, 14690, 14654])).
% 5.73/4.46 tff(14718,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14719,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14720,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 5.73/4.46 tff(14721,plain,
% 5.73/4.46 (~m_main_v_turn(s182, c_2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14720, 322, 14717])).
% 5.73/4.46 tff(14722,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14723,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14724,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 5.73/4.46 tff(14725,plain,
% 5.73/4.46 (~node12(s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14724, 350, 14721])).
% 5.73/4.46 tff(14726,plain,
% 5.73/4.46 (((~![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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14727,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14728,plain,
% 5.73/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 5.73/4.46 tff(14729,plain,
% 5.73/4.46 (node14(s181, s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14728, 130, 14705])).
% 5.73/4.46 tff(14730,plain,
% 5.73/4.46 (((~![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(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))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14731,plain,
% 5.73/4.46 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14732,plain,
% 5.73/4.46 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2)),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 5.73/4.46 tff(14733,plain,
% 5.73/4.46 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state2(s182, c_t2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14732, 893, 14729])).
% 5.73/4.46 tff(14734,plain,
% 5.73/4.46 (m_main_v_state2(s182, c_t2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14733, 14654, 14690])).
% 5.73/4.46 tff(14735,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14736,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14737,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 5.73/4.46 tff(14738,plain,
% 5.73/4.46 (~m_main_v_state2(s182, c_n2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14737, 10, 14734])).
% 5.73/4.46 tff(14739,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14740,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14741,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 5.73/4.46 tff(14742,plain,
% 5.73/4.46 (~node8(s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14741, 383, 14738])).
% 5.73/4.46 tff(14743,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14744,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14745,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 5.73/4.46 tff(14746,plain,
% 5.73/4.46 (~node9(s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14745, 311, 14738])).
% 5.73/4.46 tff(14747,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14748,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14749,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14748, 14747])).
% 5.73/4.46 tff(14750,plain,
% 5.73/4.46 (~node10(s182)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14749, 372, 14738])).
% 5.73/4.46 tff(14751,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14752,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14753,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 5.73/4.46 tff(14754,plain,
% 5.73/4.46 (~m_main_v_state2(s182, c_c2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14753, 173, 14734])).
% 5.73/4.46 tff(14755,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14756,plain,
% 5.73/4.46 ((~![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)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14757,plain,
% 5.73/4.46 ((~![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))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 5.73/4.46 tff(14758,plain,
% 5.73/4.46 (~m_main_v_state2(s181, c_c2)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14757, 716, 14690])).
% 5.73/4.46 tff(14759,plain,
% 5.73/4.46 (((~![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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14760,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 5.73/4.46 inference(quant_inst,[status(thm)],[])).
% 5.73/4.46 tff(14761,plain,
% 5.73/4.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181))),
% 5.73/4.46 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 5.73/4.46 tff(14762,plain,
% 5.73/4.46 (~node3(s181)),
% 5.73/4.46 inference(unit_resolution,[status(thm)],[14761, 184, 14758])).
% 5.73/4.46 tff(14763,plain,
% 5.73/4.46 (((~![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(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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14764,plain,
% 5.73/4.46 (((~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)))),
% 5.73/4.46 inference(rewrite,[status(thm)],[])).
% 5.73/4.46 tff(14765,plain,
% 5.73/4.46 (((~![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))))),
% 5.83/4.47 inference(monotonicity,[status(thm)],[14764])).
% 5.83/4.47 tff(14766,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(transitivity,[status(thm)],[14765, 14763])).
% 5.83/4.47 tff(14767,plain,
% 5.83/4.47 ((~![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)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14768,plain,
% 5.83/4.47 ((~![V: $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))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 5.83/4.47 tff(14769,plain,
% 5.83/4.47 (~m_main_v_state1(s181, c_n1)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14768, 936, 14562, 14647])).
% 5.83/4.47 tff(14770,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14771,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14772,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 5.83/4.47 tff(14773,plain,
% 5.83/4.47 (~node2(s181)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14772, 652, 14769])).
% 5.83/4.47 tff(14774,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14775,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14776,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 5.83/4.47 tff(14777,plain,
% 5.83/4.47 (~node1(s181)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14776, 206, 14694])).
% 5.83/4.47 tff(14778,plain,
% 5.83/4.47 (((~![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))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14779,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14780,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14779, 14778])).
% 5.83/4.47 tff(14781,plain,
% 5.83/4.47 (node7(s181, s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14780, 217, 14705])).
% 5.83/4.47 tff(14782,plain,
% 5.83/4.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14783,plain,
% 5.83/4.47 (((~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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14784,plain,
% 5.83/4.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.83/4.47 inference(monotonicity,[status(thm)],[14783])).
% 5.83/4.47 tff(14785,plain,
% 5.83/4.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.83/4.47 inference(transitivity,[status(thm)],[14784, 14782])).
% 5.83/4.47 tff(14786,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14787,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 5.83/4.47 tff(14788,plain,
% 5.83/4.47 ((~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)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14787, 965, 14781])).
% 5.83/4.47 tff(14789,plain,
% 5.83/4.47 (m_main_v_state1(s182, c_c1)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14788, 14777, 14690, 14654, 14773, 14762])).
% 5.83/4.47 tff(14790,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14791,plain,
% 5.83/4.47 ((~![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)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14792,plain,
% 5.83/4.47 ((~![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))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 5.83/4.47 tff(14793,plain,
% 5.83/4.47 (~m_main_v_state1(s182, c_n1)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14792, 449, 14789])).
% 5.83/4.47 tff(14794,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14795,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14796,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14795, 14794])).
% 5.83/4.47 tff(14797,plain,
% 5.83/4.47 (~node11(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14796, 361, 14793])).
% 5.83/4.47 tff(14798,plain,
% 5.83/4.47 (succ(s182, s183) <=> succ(s182, s183)),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14799,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 5.83/4.47 tff(14800,plain,
% 5.83/4.47 (succ(s182, s183)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14799, 14798])).
% 5.83/4.47 tff(14801,plain,
% 5.83/4.47 (((~![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))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14802,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14803,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 5.83/4.47 tff(14804,plain,
% 5.83/4.47 (trans(s182, s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14803, 14800, 57])).
% 5.83/4.47 tff(14805,plain,
% 5.83/4.47 (((~![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))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14806,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14807,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 5.83/4.47 tff(14808,plain,
% 5.83/4.47 (node14(s182, s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14807, 130, 14804])).
% 5.83/4.47 tff(14809,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14810,plain,
% 5.83/4.47 ((~![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)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14811,plain,
% 5.83/4.47 ((~![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))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 5.83/4.47 tff(14812,plain,
% 5.83/4.47 (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14811, 401, 14808])).
% 5.83/4.47 tff(14813,plain,
% 5.83/4.47 (node13(s182, s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14812, 14797, 14754, 14750, 14746, 14742, 14725])).
% 5.83/4.47 tff(14814,plain,
% 5.83/4.47 (((~![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(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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14815,plain,
% 5.83/4.47 (((~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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14816,plain,
% 5.83/4.47 (((~![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))))),
% 5.83/4.47 inference(monotonicity,[status(thm)],[14815])).
% 5.83/4.47 tff(14817,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(transitivity,[status(thm)],[14816, 14814])).
% 5.83/4.47 tff(14818,plain,
% 5.83/4.47 ((~![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)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14819,plain,
% 5.83/4.47 ((~![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(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 5.83/4.47 tff(14820,plain,
% 5.83/4.47 (~m_main_v_state2(s183, c_n2)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14819, 416, 14738, 14813])).
% 5.83/4.47 tff(14821,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14822,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14823,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 5.83/4.47 tff(14824,plain,
% 5.83/4.47 (~node9(s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14823, 311, 14820])).
% 5.83/4.47 tff(14825,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14826,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14827,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 5.83/4.47 tff(14828,plain,
% 5.83/4.47 (~node10(s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14827, 372, 14820])).
% 5.83/4.47 tff(14829,plain,
% 5.83/4.47 (((~![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(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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14830,plain,
% 5.83/4.47 (((~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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14831,plain,
% 5.83/4.47 (((~![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))))),
% 5.83/4.47 inference(monotonicity,[status(thm)],[14830])).
% 5.83/4.47 tff(14832,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(transitivity,[status(thm)],[14831, 14829])).
% 5.83/4.47 tff(14833,plain,
% 5.83/4.47 ((~![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))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14834,plain,
% 5.83/4.47 ((~![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(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 5.83/4.47 tff(14835,plain,
% 5.83/4.47 (m_main_v_state2(s183, c_t2)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14834, 563, 14734, 14813])).
% 5.83/4.47 tff(14836,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14837,plain,
% 5.83/4.47 ((~![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)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14838,plain,
% 5.83/4.47 ((~![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))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 5.83/4.47 tff(14839,plain,
% 5.83/4.47 (~m_main_v_state1(s182, c_t1)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14838, 289, 14789])).
% 5.83/4.47 tff(14840,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14841,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14842,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14841, 14840])).
% 5.83/4.47 tff(14843,plain,
% 5.83/4.47 (~node5(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14842, 300, 14839])).
% 5.83/4.47 tff(14844,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14845,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14846,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 5.83/4.47 tff(14847,plain,
% 5.83/4.47 (~node4(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14846, 162, 14738])).
% 5.83/4.47 tff(14848,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14849,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14850,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 5.83/4.47 tff(14851,plain,
% 5.83/4.47 (~node3(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14850, 184, 14754])).
% 5.83/4.47 tff(14852,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14853,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14854,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 5.83/4.47 tff(14855,plain,
% 5.83/4.47 (~node2(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14854, 195, 14738])).
% 5.83/4.47 tff(14856,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14857,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14858,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14857, 14856])).
% 5.83/4.47 tff(14859,plain,
% 5.83/4.47 (~node1(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14858, 249, 14793])).
% 5.83/4.47 tff(14860,plain,
% 5.83/4.47 (((~![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))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14861,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14862,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 5.83/4.47 tff(14863,plain,
% 5.83/4.47 (node7(s182, s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14862, 217, 14804])).
% 5.83/4.47 tff(14864,plain,
% 5.83/4.47 (((~![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(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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14865,plain,
% 5.83/4.47 (((~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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14866,plain,
% 5.83/4.47 (((~![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(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))))),
% 5.83/4.47 inference(monotonicity,[status(thm)],[14865])).
% 5.83/4.47 tff(14867,plain,
% 5.83/4.47 (((~![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(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)))),
% 5.83/4.47 inference(transitivity,[status(thm)],[14866, 14864])).
% 5.83/4.47 tff(14868,plain,
% 5.83/4.47 ((~![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(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14869,plain,
% 5.83/4.47 ((~![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(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 5.83/4.47 tff(14870,plain,
% 5.83/4.47 (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14869, 478, 14863])).
% 5.83/4.47 tff(14871,plain,
% 5.83/4.47 (m_main_v_state1(s183, c_n1)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14870, 14859, 14789, 14855, 14851, 14847, 14843])).
% 5.83/4.47 tff(14872,plain,
% 5.83/4.47 (((~![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)))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14873,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 5.83/4.47 inference(quant_inst,[status(thm)],[])).
% 5.83/4.47 tff(14874,plain,
% 5.83/4.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183))),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 5.83/4.47 tff(14875,plain,
% 5.83/4.47 (~node8(s183)),
% 5.83/4.47 inference(unit_resolution,[status(thm)],[14874, 383, 14820])).
% 5.83/4.47 tff(14876,plain,
% 5.83/4.47 (succ(s183, s184) <=> succ(s183, s184)),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14877,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 5.83/4.47 tff(14878,plain,
% 5.83/4.47 (succ(s183, s184)),
% 5.83/4.47 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 5.83/4.47 tff(14879,plain,
% 5.83/4.47 (((~![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))),
% 5.83/4.47 inference(rewrite,[status(thm)],[])).
% 5.83/4.47 tff(14880,plain,
% 5.83/4.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14881,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 5.83/4.48 tff(14882,plain,
% 5.83/4.48 (trans(s183, s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14881, 14878, 57])).
% 5.83/4.48 tff(14883,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14884,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14885,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 5.83/4.48 tff(14886,plain,
% 5.83/4.48 (node14(s183, s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14885, 130, 14882])).
% 5.83/4.48 tff(14887,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14888,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14889,plain,
% 5.83/4.48 ((~![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)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14888, 14887])).
% 5.83/4.48 tff(14890,plain,
% 5.83/4.48 ((~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)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14889, 704, 14886])).
% 5.83/4.48 tff(14891,plain,
% 5.83/4.48 (m_main_v_state2(s184, c_c2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14890, 14875, 14871, 14835, 14828, 14824])).
% 5.83/4.48 tff(14892,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14893,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14894,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 5.83/4.48 tff(14895,plain,
% 5.83/4.48 (~m_main_v_state2(s184, c_t2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14894, 173, 14891])).
% 5.83/4.48 tff(14896,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14897,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14898,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14897, 14896])).
% 5.83/4.48 tff(14899,plain,
% 5.83/4.48 (~node12(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14898, 778, 14895])).
% 5.83/4.48 tff(14900,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14901,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14902,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 5.83/4.48 tff(14903,plain,
% 5.83/4.48 (node7(s183, s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14902, 217, 14882])).
% 5.83/4.48 tff(14904,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14905,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14906,plain,
% 5.83/4.48 ((~![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)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 5.83/4.48 tff(14907,plain,
% 5.83/4.48 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_state1(s184, c_t1)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14906, 598, 14903])).
% 5.83/4.48 tff(14908,plain,
% 5.83/4.48 (m_main_v_state1(s184, c_t1)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14907, 14835, 14871])).
% 5.83/4.48 tff(14909,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14910,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14911,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 5.83/4.48 tff(14912,plain,
% 5.83/4.48 (~m_main_v_state1(s184, c_n1)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14911, 35, 14908])).
% 5.83/4.48 tff(14913,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14914,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14915,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 5.83/4.48 tff(14916,plain,
% 5.83/4.48 (~node11(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14915, 361, 14912])).
% 5.83/4.48 tff(14917,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14918,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14919,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 5.83/4.48 tff(14920,plain,
% 5.83/4.48 (~m_main_v_state1(s184, c_c1)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14919, 289, 14908])).
% 5.83/4.48 tff(14921,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14922,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14923,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 5.83/4.48 tff(14924,plain,
% 5.83/4.48 (~node10(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14923, 793, 14920])).
% 5.83/4.48 tff(14925,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14926,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14927,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 5.83/4.48 tff(14928,plain,
% 5.83/4.48 (~node9(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14927, 804, 14912])).
% 5.83/4.48 tff(14929,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14930,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14931,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 5.83/4.48 tff(14932,plain,
% 5.83/4.48 (~m_main_v_state2(s184, c_n2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14931, 716, 14891])).
% 5.83/4.48 tff(14933,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14934,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14935,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 5.83/4.48 tff(14936,plain,
% 5.83/4.48 (~node8(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14935, 383, 14932])).
% 5.83/4.48 tff(14937,plain,
% 5.83/4.48 (succ(s184, s185) <=> succ(s184, s185)),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14938,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 5.83/4.48 tff(14939,plain,
% 5.83/4.48 (succ(s184, s185)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14938, 14937])).
% 5.83/4.48 tff(14940,plain,
% 5.83/4.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14941,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14942,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 5.83/4.48 tff(14943,plain,
% 5.83/4.48 (trans(s184, s185)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14942, 14939, 57])).
% 5.83/4.48 tff(14944,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14945,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14946,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 5.83/4.48 tff(14947,plain,
% 5.83/4.48 (node14(s184, s185)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14946, 130, 14943])).
% 5.83/4.48 tff(14948,plain,
% 5.83/4.48 (((~![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(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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14949,plain,
% 5.83/4.48 (((~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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14950,plain,
% 5.83/4.48 (((~![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(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))))),
% 5.83/4.48 inference(monotonicity,[status(thm)],[14949])).
% 5.83/4.48 tff(14951,plain,
% 5.83/4.48 (((~![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(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)))),
% 5.83/4.48 inference(transitivity,[status(thm)],[14950, 14948])).
% 5.83/4.48 tff(14952,plain,
% 5.83/4.48 ((~![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(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14953,plain,
% 5.83/4.48 ((~![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(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 5.83/4.48 tff(14954,plain,
% 5.83/4.48 (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~m_main_v_state2(s184, c_c2))),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14953, 826, 14947])).
% 5.83/4.48 tff(14955,plain,
% 5.83/4.48 (m_main_v_state2(s185, c_n2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14954, 14936, 14891, 14928, 14924, 14916, 14899])).
% 5.83/4.48 tff(14956,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14957,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14958,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 5.83/4.48 tff(14959,plain,
% 5.83/4.48 (~m_main_v_state2(s185, c_c2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14958, 716, 14955])).
% 5.83/4.48 tff(14960,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14961,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14962,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 5.83/4.48 tff(14963,plain,
% 5.83/4.48 (~node3(s185)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14962, 184, 14959])).
% 5.83/4.48 tff(14964,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14965,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14966,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 5.83/4.48 tff(14967,plain,
% 5.83/4.48 (~node1(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14966, 249, 14912])).
% 5.83/4.48 tff(14968,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14969,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14970,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14969, 14968])).
% 5.83/4.48 tff(14971,plain,
% 5.83/4.48 (node18(s183, s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14970, 71, 14882])).
% 5.83/4.48 tff(14972,plain,
% 5.83/4.48 (((~![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(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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14973,plain,
% 5.83/4.48 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14974,plain,
% 5.83/4.48 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 5.83/4.48 tff(14975,plain,
% 5.83/4.48 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_turn(s184, c_2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14974, 625, 14971])).
% 5.83/4.48 tff(14976,plain,
% 5.83/4.48 (m_main_v_turn(s184, c_2)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14975, 14835, 14871])).
% 5.83/4.48 tff(14977,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14978,plain,
% 5.83/4.48 ((~![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)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14979,plain,
% 5.83/4.48 ((~![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))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 5.83/4.48 tff(14980,plain,
% 5.83/4.48 (~m_main_v_turn(s184, c_1)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14979, 322, 14976])).
% 5.83/4.48 tff(14981,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14982,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14983,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 5.83/4.48 tff(14984,plain,
% 5.83/4.48 (~node5(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14983, 641, 14980])).
% 5.83/4.48 tff(14985,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14986,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14987,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 5.83/4.48 tff(14988,plain,
% 5.83/4.48 (~node2(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14987, 652, 14912])).
% 5.83/4.48 tff(14989,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14990,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14991,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 5.83/4.48 tff(14992,plain,
% 5.83/4.48 (~node3(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14991, 663, 14912])).
% 5.83/4.48 tff(14993,plain,
% 5.83/4.48 (((~![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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14994,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14995,plain,
% 5.83/4.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 5.83/4.48 tff(14996,plain,
% 5.83/4.48 (~node4(s184)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14995, 162, 14932])).
% 5.83/4.48 tff(14997,plain,
% 5.83/4.48 (((~![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))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(14998,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(14999,plain,
% 5.83/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185)),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 5.83/4.48 tff(15000,plain,
% 5.83/4.48 (node7(s184, s185)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[14999, 217, 14943])).
% 5.83/4.48 tff(15001,plain,
% 5.83/4.48 (((~![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(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)))),
% 5.83/4.48 inference(rewrite,[status(thm)],[])).
% 5.83/4.48 tff(15002,plain,
% 5.83/4.48 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 5.83/4.48 inference(quant_inst,[status(thm)],[])).
% 5.83/4.48 tff(15003,plain,
% 5.83/4.48 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185))),
% 5.83/4.48 inference(modus_ponens,[status(thm)],[15002, 15001])).
% 5.83/4.48 tff(15004,plain,
% 5.83/4.48 (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185)),
% 5.83/4.48 inference(unit_resolution,[status(thm)],[15003, 745, 15000])).
% 5.83/4.49 tff(15005,plain,
% 5.83/4.49 (node6(s184, s185)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15004, 14996, 14920, 14992, 14988, 14984, 14967])).
% 5.83/4.49 tff(15006,plain,
% 5.83/4.49 (((~![V: $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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15007,plain,
% 5.83/4.49 (((~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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15008,plain,
% 5.83/4.49 (((~![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))))),
% 5.83/4.49 inference(monotonicity,[status(thm)],[15007])).
% 5.83/4.49 tff(15009,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(transitivity,[status(thm)],[15008, 15006])).
% 5.83/4.49 tff(15010,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15011,plain,
% 5.83/4.49 ((~![V: $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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 5.83/4.49 tff(15012,plain,
% 5.83/4.49 (~m_main_v_state1(s185, c_n1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15011, 936, 14912, 15005])).
% 5.83/4.49 tff(15013,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15014,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15015,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 5.83/4.49 tff(15016,plain,
% 5.83/4.49 (~node2(s185)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15015, 652, 15012])).
% 5.83/4.49 tff(15017,plain,
% 5.83/4.49 (((~![V: $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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15018,plain,
% 5.83/4.49 (((~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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15019,plain,
% 5.83/4.49 (((~![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))))),
% 5.83/4.49 inference(monotonicity,[status(thm)],[15018])).
% 5.83/4.49 tff(15020,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(transitivity,[status(thm)],[15019, 15017])).
% 5.83/4.49 tff(15021,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15022,plain,
% 5.83/4.49 ((~![V: $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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 5.83/4.49 tff(15023,plain,
% 5.83/4.49 (m_main_v_state1(s185, c_t1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15022, 760, 14908, 15005])).
% 5.83/4.49 tff(15024,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15025,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15026,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 5.83/4.49 tff(15027,plain,
% 5.83/4.49 (~m_main_v_state2(s185, c_t2)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15026, 10, 14955])).
% 5.83/4.49 tff(15028,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15029,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15030,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 5.83/4.49 tff(15031,plain,
% 5.83/4.49 (~node1(s185)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15030, 206, 15027])).
% 5.83/4.49 tff(15032,plain,
% 5.83/4.49 (succ(s185, s186) <=> succ(s185, s186)),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15033,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 5.83/4.49 tff(15034,plain,
% 5.83/4.49 (succ(s185, s186)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 5.83/4.49 tff(15035,plain,
% 5.83/4.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15036,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15037,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 5.83/4.49 tff(15038,plain,
% 5.83/4.49 (trans(s185, s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15037, 15034, 57])).
% 5.83/4.49 tff(15039,plain,
% 5.83/4.49 (((~![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))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15040,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15041,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15040, 15039])).
% 5.83/4.49 tff(15042,plain,
% 5.83/4.49 (node7(s185, s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15041, 217, 15038])).
% 5.83/4.49 tff(15043,plain,
% 5.83/4.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15044,plain,
% 5.83/4.49 (((~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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15045,plain,
% 5.83/4.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.83/4.49 inference(monotonicity,[status(thm)],[15044])).
% 5.83/4.49 tff(15046,plain,
% 5.83/4.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.83/4.49 inference(transitivity,[status(thm)],[15045, 15043])).
% 5.83/4.49 tff(15047,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15048,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15047, 15046])).
% 5.83/4.49 tff(15049,plain,
% 5.83/4.49 ((~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)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15048, 965, 15042])).
% 5.83/4.49 tff(15050,plain,
% 5.83/4.49 (m_main_v_state1(s186, c_c1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15049, 15031, 14955, 15023, 15016, 14963])).
% 5.83/4.49 tff(15051,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15052,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15053,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 5.83/4.49 tff(15054,plain,
% 5.83/4.49 (~m_main_v_state1(s186, c_t1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15053, 289, 15050])).
% 5.83/4.49 tff(15055,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15056,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15057,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 5.83/4.49 tff(15058,plain,
% 5.83/4.49 (~node5(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15057, 300, 15054])).
% 5.83/4.49 tff(15059,plain,
% 5.83/4.49 (((~![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))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15060,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15061,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 5.83/4.49 tff(15062,plain,
% 5.83/4.49 (node14(s185, s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15061, 130, 15038])).
% 5.83/4.49 tff(15063,plain,
% 5.83/4.49 (((~![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(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))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15064,plain,
% 5.83/4.49 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15065,plain,
% 5.83/4.49 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 5.83/4.49 tff(15066,plain,
% 5.83/4.49 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state2(s186, c_t2)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15065, 893, 15062])).
% 5.83/4.49 tff(15067,plain,
% 5.83/4.49 (m_main_v_state2(s186, c_t2)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15066, 15023, 14955])).
% 5.83/4.49 tff(15068,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15069,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15070,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 5.83/4.49 tff(15071,plain,
% 5.83/4.49 (~m_main_v_state2(s186, c_n2)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15070, 10, 15067])).
% 5.83/4.49 tff(15072,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15073,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15074,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 5.83/4.49 tff(15075,plain,
% 5.83/4.49 (~node4(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15074, 162, 15071])).
% 5.83/4.49 tff(15076,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15077,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15078,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15077, 15076])).
% 5.83/4.49 tff(15079,plain,
% 5.83/4.49 (~m_main_v_state2(s186, c_c2)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15078, 173, 15067])).
% 5.83/4.49 tff(15080,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15081,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15082,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 5.83/4.49 tff(15083,plain,
% 5.83/4.49 (~node3(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15082, 184, 15079])).
% 5.83/4.49 tff(15084,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15085,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15086,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15085, 15084])).
% 5.83/4.49 tff(15087,plain,
% 5.83/4.49 (~node2(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15086, 195, 15071])).
% 5.83/4.49 tff(15088,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15089,plain,
% 5.83/4.49 ((~![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)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15090,plain,
% 5.83/4.49 ((~![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))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 5.83/4.49 tff(15091,plain,
% 5.83/4.49 (~m_main_v_state1(s186, c_n1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15090, 449, 15050])).
% 5.83/4.49 tff(15092,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15093,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15094,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 5.83/4.49 tff(15095,plain,
% 5.83/4.49 (~node1(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15094, 249, 15091])).
% 5.83/4.49 tff(15096,plain,
% 5.83/4.49 (succ(s186, s187) <=> succ(s186, s187)),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15097,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 5.83/4.49 tff(15098,plain,
% 5.83/4.49 (succ(s186, s187)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 5.83/4.49 tff(15099,plain,
% 5.83/4.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15100,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15101,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 5.83/4.49 tff(15102,plain,
% 5.83/4.49 (trans(s186, s187)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15101, 15098, 57])).
% 5.83/4.49 tff(15103,plain,
% 5.83/4.49 (((~![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))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15104,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15105,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187)),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15104, 15103])).
% 5.83/4.49 tff(15106,plain,
% 5.83/4.49 (node7(s186, s187)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15105, 217, 15102])).
% 5.83/4.49 tff(15107,plain,
% 5.83/4.49 (((~![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(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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15108,plain,
% 5.83/4.49 (((~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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15109,plain,
% 5.83/4.49 (((~![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(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))))),
% 5.83/4.49 inference(monotonicity,[status(thm)],[15108])).
% 5.83/4.49 tff(15110,plain,
% 5.83/4.49 (((~![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(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)))),
% 5.83/4.49 inference(transitivity,[status(thm)],[15109, 15107])).
% 5.83/4.49 tff(15111,plain,
% 5.83/4.49 ((~![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(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15112,plain,
% 5.83/4.49 ((~![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(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 5.83/4.49 tff(15113,plain,
% 5.83/4.49 (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15112, 478, 15106])).
% 5.83/4.49 tff(15114,plain,
% 5.83/4.49 (m_main_v_state1(s187, c_n1)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15113, 15095, 15050, 15087, 15083, 15075, 15058])).
% 5.83/4.49 tff(15115,plain,
% 5.83/4.49 (((~![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)))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15116,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15117,plain,
% 5.83/4.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185))),
% 5.83/4.49 inference(modus_ponens,[status(thm)],[15116, 15115])).
% 5.83/4.49 tff(15118,plain,
% 5.83/4.49 (~node15(s185)),
% 5.83/4.49 inference(unit_resolution,[status(thm)],[15117, 21, 15027])).
% 5.83/4.49 tff(15119,plain,
% 5.83/4.49 (((~![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))),
% 5.83/4.49 inference(rewrite,[status(thm)],[])).
% 5.83/4.49 tff(15120,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))),
% 5.83/4.49 inference(quant_inst,[status(thm)],[])).
% 5.83/4.49 tff(15121,plain,
% 5.83/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 5.86/4.50 tff(15122,plain,
% 5.86/4.50 (node18(s185, s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15121, 71, 15038])).
% 5.86/4.50 tff(15123,plain,
% 5.86/4.50 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15124,plain,
% 5.86/4.50 (((~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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15125,plain,
% 5.86/4.50 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.86/4.50 inference(monotonicity,[status(thm)],[15124])).
% 5.86/4.50 tff(15126,plain,
% 5.86/4.50 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.86/4.50 inference(transitivity,[status(thm)],[15125, 15123])).
% 5.86/4.50 tff(15127,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15128,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15127, 15126])).
% 5.86/4.50 tff(15129,plain,
% 5.86/4.50 (node15(s185) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15128, 863, 15122])).
% 5.86/4.50 tff(15130,plain,
% 5.86/4.50 (m_main_v_turn(s186, c_1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15129, 15118, 14955, 15023])).
% 5.86/4.50 tff(15131,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15132,plain,
% 5.86/4.50 ((~![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)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15133,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 5.86/4.50 tff(15134,plain,
% 5.86/4.50 (~m_main_v_turn(s186, c_2)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15133, 322, 15130])).
% 5.86/4.50 tff(15135,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15136,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15137,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 5.86/4.50 tff(15138,plain,
% 5.86/4.50 (~node12(s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15137, 350, 15134])).
% 5.86/4.50 tff(15139,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15140,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15141,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 5.86/4.50 tff(15142,plain,
% 5.86/4.50 (~node8(s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15141, 383, 15071])).
% 5.86/4.50 tff(15143,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15144,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15145,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 5.86/4.50 tff(15146,plain,
% 5.86/4.50 (~node9(s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15145, 311, 15071])).
% 5.86/4.50 tff(15147,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15148,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15149,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 5.86/4.50 tff(15150,plain,
% 5.86/4.50 (~node10(s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15149, 372, 15071])).
% 5.86/4.50 tff(15151,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15152,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15153,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 5.86/4.50 tff(15154,plain,
% 5.86/4.50 (~node11(s186)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15153, 361, 15091])).
% 5.86/4.50 tff(15155,plain,
% 5.86/4.50 (((~![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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15156,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15157,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 5.86/4.50 tff(15158,plain,
% 5.86/4.50 (node14(s186, s187)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15157, 130, 15102])).
% 5.86/4.50 tff(15159,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15160,plain,
% 5.86/4.50 ((~![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)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15161,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 5.86/4.50 tff(15162,plain,
% 5.86/4.50 (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15161, 401, 15158])).
% 5.86/4.50 tff(15163,plain,
% 5.86/4.50 (node13(s186, s187)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15162, 15154, 15079, 15150, 15146, 15142, 15138])).
% 5.86/4.50 tff(15164,plain,
% 5.86/4.50 (((~![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(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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15165,plain,
% 5.86/4.50 (((~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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15166,plain,
% 5.86/4.50 (((~![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))))),
% 5.86/4.50 inference(monotonicity,[status(thm)],[15165])).
% 5.86/4.50 tff(15167,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(transitivity,[status(thm)],[15166, 15164])).
% 5.86/4.50 tff(15168,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15169,plain,
% 5.86/4.50 ((~![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(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 5.86/4.50 tff(15170,plain,
% 5.86/4.50 (m_main_v_state2(s187, c_t2)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15169, 563, 15067, 15163])).
% 5.86/4.50 tff(15171,plain,
% 5.86/4.50 (succ(s187, s188) <=> succ(s187, s188)),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15172,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 5.86/4.50 tff(15173,plain,
% 5.86/4.50 (succ(s187, s188)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 5.86/4.50 tff(15174,plain,
% 5.86/4.50 (((~![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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15175,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15176,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 5.86/4.50 tff(15177,plain,
% 5.86/4.50 (trans(s187, s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15176, 15173, 57])).
% 5.86/4.50 tff(15178,plain,
% 5.86/4.50 (((~![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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15179,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15180,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15179, 15178])).
% 5.86/4.50 tff(15181,plain,
% 5.86/4.50 (node7(s187, s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15180, 217, 15177])).
% 5.86/4.50 tff(15182,plain,
% 5.86/4.50 (((~![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(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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15183,plain,
% 5.86/4.50 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15184,plain,
% 5.86/4.50 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15183, 15182])).
% 5.86/4.50 tff(15185,plain,
% 5.86/4.50 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_state1(s188, c_t1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15184, 598, 15181])).
% 5.86/4.50 tff(15186,plain,
% 5.86/4.50 (m_main_v_state1(s188, c_t1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15185, 15170, 15114])).
% 5.86/4.50 tff(15187,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15188,plain,
% 5.86/4.50 ((~![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)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15189,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15188, 15187])).
% 5.86/4.50 tff(15190,plain,
% 5.86/4.50 (~m_main_v_state1(s188, c_n1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15189, 35, 15186])).
% 5.86/4.50 tff(15191,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15192,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15193,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15192, 15191])).
% 5.86/4.50 tff(15194,plain,
% 5.86/4.50 (~node1(s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15193, 249, 15190])).
% 5.86/4.50 tff(15195,plain,
% 5.86/4.50 (((~![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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15196,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15197,plain,
% 5.86/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 5.86/4.50 tff(15198,plain,
% 5.86/4.50 (node18(s187, s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15197, 71, 15177])).
% 5.86/4.50 tff(15199,plain,
% 5.86/4.50 (((~![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(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))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15200,plain,
% 5.86/4.50 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15201,plain,
% 5.86/4.50 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2)),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 5.86/4.50 tff(15202,plain,
% 5.86/4.50 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_turn(s188, c_2)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15201, 625, 15198])).
% 5.86/4.50 tff(15203,plain,
% 5.86/4.50 (m_main_v_turn(s188, c_2)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15202, 15170, 15114])).
% 5.86/4.50 tff(15204,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15205,plain,
% 5.86/4.50 ((~![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)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15206,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 5.86/4.50 tff(15207,plain,
% 5.86/4.50 (~m_main_v_turn(s188, c_1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15206, 322, 15203])).
% 5.86/4.50 tff(15208,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15209,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15210,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15209, 15208])).
% 5.86/4.50 tff(15211,plain,
% 5.86/4.50 (~node5(s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15210, 641, 15207])).
% 5.86/4.50 tff(15212,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15213,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15214,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15213, 15212])).
% 5.86/4.50 tff(15215,plain,
% 5.86/4.50 (~node2(s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15214, 652, 15190])).
% 5.86/4.50 tff(15216,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15217,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15218,plain,
% 5.86/4.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 5.86/4.50 tff(15219,plain,
% 5.86/4.50 (~node3(s188)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15218, 663, 15190])).
% 5.86/4.50 tff(15220,plain,
% 5.86/4.50 (((~![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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15221,plain,
% 5.86/4.50 ((~![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)))),
% 5.86/4.50 inference(quant_inst,[status(thm)],[])).
% 5.86/4.50 tff(15222,plain,
% 5.86/4.50 ((~![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))),
% 5.86/4.50 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 5.86/4.50 tff(15223,plain,
% 5.86/4.50 (~m_main_v_state1(s188, c_c1)),
% 5.86/4.50 inference(unit_resolution,[status(thm)],[15222, 289, 15186])).
% 5.86/4.50 tff(15224,plain,
% 5.86/4.50 (((~![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(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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15225,plain,
% 5.86/4.50 (((~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)))),
% 5.86/4.50 inference(rewrite,[status(thm)],[])).
% 5.86/4.50 tff(15226,plain,
% 5.86/4.50 (((~![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))))),
% 5.86/4.51 inference(monotonicity,[status(thm)],[15225])).
% 5.86/4.51 tff(15227,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(transitivity,[status(thm)],[15226, 15224])).
% 5.86/4.51 tff(15228,plain,
% 5.86/4.51 ((~![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)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15229,plain,
% 5.86/4.51 ((~![V: $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))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 5.86/4.51 tff(15230,plain,
% 5.86/4.51 (~m_main_v_state2(s187, c_n2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15229, 416, 15071, 15163])).
% 5.86/4.51 tff(15231,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15232,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15233,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 5.86/4.51 tff(15234,plain,
% 5.86/4.51 (~node9(s187)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15233, 311, 15230])).
% 5.86/4.51 tff(15235,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15236,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15237,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 5.86/4.51 tff(15238,plain,
% 5.86/4.51 (~node10(s187)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15237, 372, 15230])).
% 5.86/4.51 tff(15239,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15240,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15241,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 5.86/4.51 tff(15242,plain,
% 5.86/4.51 (~node8(s187)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15241, 383, 15230])).
% 5.86/4.51 tff(15243,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15244,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15245,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 5.86/4.51 tff(15246,plain,
% 5.86/4.51 (node14(s187, s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15245, 130, 15177])).
% 5.86/4.51 tff(15247,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15248,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15249,plain,
% 5.86/4.51 ((~![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)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 5.86/4.51 tff(15250,plain,
% 5.86/4.51 ((~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)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15249, 704, 15246])).
% 5.86/4.51 tff(15251,plain,
% 5.86/4.51 (m_main_v_state2(s188, c_c2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15250, 15242, 15114, 15170, 15238, 15234])).
% 5.86/4.51 tff(15252,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15253,plain,
% 5.86/4.51 ((~![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)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15254,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 5.86/4.51 tff(15255,plain,
% 5.86/4.51 (~m_main_v_state2(s188, c_n2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15254, 716, 15251])).
% 5.86/4.51 tff(15256,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15257,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15258,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 5.86/4.51 tff(15259,plain,
% 5.86/4.51 (~node4(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15258, 162, 15255])).
% 5.86/4.51 tff(15260,plain,
% 5.86/4.51 (succ(s188, s189) <=> succ(s188, s189)),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15261,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 5.86/4.51 tff(15262,plain,
% 5.86/4.51 (succ(s188, s189)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 5.86/4.51 tff(15263,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15264,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15265,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 5.86/4.51 tff(15266,plain,
% 5.86/4.51 (trans(s188, s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15265, 15262, 57])).
% 5.86/4.51 tff(15267,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15268,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15269,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 5.86/4.51 tff(15270,plain,
% 5.86/4.51 (node7(s188, s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15269, 217, 15266])).
% 5.86/4.51 tff(15271,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15272,plain,
% 5.86/4.51 ((~![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)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15273,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 5.86/4.51 tff(15274,plain,
% 5.86/4.51 (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15273, 745, 15270])).
% 5.86/4.51 tff(15275,plain,
% 5.86/4.51 (node6(s188, s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15274, 15259, 15223, 15219, 15215, 15211, 15194])).
% 5.86/4.51 tff(15276,plain,
% 5.86/4.51 (((~![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(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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15277,plain,
% 5.86/4.51 (((~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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15278,plain,
% 5.86/4.51 (((~![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))))),
% 5.86/4.51 inference(monotonicity,[status(thm)],[15277])).
% 5.86/4.51 tff(15279,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(transitivity,[status(thm)],[15278, 15276])).
% 5.86/4.51 tff(15280,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15281,plain,
% 5.86/4.51 ((~![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(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 5.86/4.51 tff(15282,plain,
% 5.86/4.51 (m_main_v_state1(s189, c_t1)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15281, 760, 15186, 15275])).
% 5.86/4.51 tff(15283,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15284,plain,
% 5.86/4.51 ((~![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)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15285,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 5.86/4.51 tff(15286,plain,
% 5.86/4.51 (~m_main_v_state2(s188, c_t2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15285, 173, 15251])).
% 5.86/4.51 tff(15287,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15288,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15289,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 5.86/4.51 tff(15290,plain,
% 5.86/4.51 (~node12(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15289, 778, 15286])).
% 5.86/4.51 tff(15291,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15292,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15293,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 5.86/4.51 tff(15294,plain,
% 5.86/4.51 (~node11(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15293, 361, 15190])).
% 5.86/4.51 tff(15295,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15296,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15297,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 5.86/4.51 tff(15298,plain,
% 5.86/4.51 (~node10(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15297, 793, 15223])).
% 5.86/4.51 tff(15299,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15300,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15301,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 5.86/4.51 tff(15302,plain,
% 5.86/4.51 (~node9(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15301, 804, 15190])).
% 5.86/4.51 tff(15303,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15304,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15305,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 5.86/4.51 tff(15306,plain,
% 5.86/4.51 (~node8(s188)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15305, 383, 15255])).
% 5.86/4.51 tff(15307,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15308,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15309,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 5.86/4.51 tff(15310,plain,
% 5.86/4.51 (node14(s188, s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15309, 130, 15266])).
% 5.86/4.51 tff(15311,plain,
% 5.86/4.51 (((~![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(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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15312,plain,
% 5.86/4.51 (((~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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15313,plain,
% 5.86/4.51 (((~![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(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))))),
% 5.86/4.51 inference(monotonicity,[status(thm)],[15312])).
% 5.86/4.51 tff(15314,plain,
% 5.86/4.51 (((~![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(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)))),
% 5.86/4.51 inference(transitivity,[status(thm)],[15313, 15311])).
% 5.86/4.51 tff(15315,plain,
% 5.86/4.51 ((~![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(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15316,plain,
% 5.86/4.51 ((~![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(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 5.86/4.51 tff(15317,plain,
% 5.86/4.51 (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~m_main_v_state2(s188, c_c2))),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15316, 826, 15310])).
% 5.86/4.51 tff(15318,plain,
% 5.86/4.51 (m_main_v_state2(s189, c_n2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15317, 15306, 15251, 15302, 15298, 15294, 15290])).
% 5.86/4.51 tff(15319,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15320,plain,
% 5.86/4.51 ((~![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)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15321,plain,
% 5.86/4.51 ((~![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))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 5.86/4.51 tff(15322,plain,
% 5.86/4.51 (~m_main_v_state2(s189, c_t2)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15321, 10, 15318])).
% 5.86/4.51 tff(15323,plain,
% 5.86/4.51 (((~![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)))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15324,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15325,plain,
% 5.86/4.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189))),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 5.86/4.51 tff(15326,plain,
% 5.86/4.51 (~node15(s189)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15325, 21, 15322])).
% 5.86/4.51 tff(15327,plain,
% 5.86/4.51 (succ(s189, s190) <=> succ(s189, s190)),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15328,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 5.86/4.51 tff(15329,plain,
% 5.86/4.51 (succ(s189, s190)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 5.86/4.51 tff(15330,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15331,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15332,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15331, 15330])).
% 5.86/4.51 tff(15333,plain,
% 5.86/4.51 (trans(s189, s190)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15332, 15329, 57])).
% 5.86/4.51 tff(15334,plain,
% 5.86/4.51 (((~![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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15335,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.51 tff(15336,plain,
% 5.86/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190)),
% 5.86/4.51 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 5.86/4.51 tff(15337,plain,
% 5.86/4.51 (node18(s189, s190)),
% 5.86/4.51 inference(unit_resolution,[status(thm)],[15336, 71, 15333])).
% 5.86/4.51 tff(15338,plain,
% 5.86/4.51 (((~![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(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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15339,plain,
% 5.86/4.51 (((~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))),
% 5.86/4.51 inference(rewrite,[status(thm)],[])).
% 5.86/4.51 tff(15340,plain,
% 5.86/4.51 (((~![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(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)))),
% 5.86/4.51 inference(monotonicity,[status(thm)],[15339])).
% 5.86/4.51 tff(15341,plain,
% 5.86/4.51 (((~![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(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))),
% 5.86/4.51 inference(transitivity,[status(thm)],[15340, 15338])).
% 5.86/4.51 tff(15342,plain,
% 5.86/4.51 ((~![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(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))),
% 5.86/4.51 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15343,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 5.86/4.52 tff(15344,plain,
% 5.86/4.52 (node15(s189) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15343, 863, 15337])).
% 5.86/4.52 tff(15345,plain,
% 5.86/4.52 (m_main_v_turn(s190, c_1)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15344, 15326, 15318, 15282])).
% 5.86/4.52 tff(15346,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15347,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15348,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 5.86/4.52 tff(15349,plain,
% 5.86/4.52 (~m_main_v_turn(s190, c_2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15348, 322, 15345])).
% 5.86/4.52 tff(15350,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15351,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15352,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 5.86/4.52 tff(15353,plain,
% 5.86/4.52 (~node12(s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15352, 350, 15349])).
% 5.86/4.52 tff(15354,plain,
% 5.86/4.52 (((~![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))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15355,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15356,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 5.86/4.52 tff(15357,plain,
% 5.86/4.52 (node14(s189, s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15356, 130, 15333])).
% 5.86/4.52 tff(15358,plain,
% 5.86/4.52 (((~![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))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15359,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15360,plain,
% 5.86/4.52 ((~![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)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 5.86/4.52 tff(15361,plain,
% 5.86/4.52 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state2(s190, c_t2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15360, 893, 15357])).
% 5.86/4.52 tff(15362,plain,
% 5.86/4.52 (m_main_v_state2(s190, c_t2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15361, 15282, 15318])).
% 5.86/4.52 tff(15363,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15364,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15365,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 5.86/4.52 tff(15366,plain,
% 5.86/4.52 (~m_main_v_state2(s190, c_n2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15365, 10, 15362])).
% 5.86/4.52 tff(15367,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15368,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15369,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 5.86/4.52 tff(15370,plain,
% 5.86/4.52 (~node8(s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15369, 383, 15366])).
% 5.86/4.52 tff(15371,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15372,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15373,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 5.86/4.52 tff(15374,plain,
% 5.86/4.52 (~node9(s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15373, 311, 15366])).
% 5.86/4.52 tff(15375,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15376,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15377,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 5.86/4.52 tff(15378,plain,
% 5.86/4.52 (~node10(s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15377, 372, 15366])).
% 5.86/4.52 tff(15379,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15380,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15381,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 5.86/4.52 tff(15382,plain,
% 5.86/4.52 (~m_main_v_state2(s190, c_c2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15381, 173, 15362])).
% 5.86/4.52 tff(15383,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15384,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15385,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 5.86/4.52 tff(15386,plain,
% 5.86/4.52 (~m_main_v_state2(s189, c_c2)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15385, 716, 15318])).
% 5.86/4.52 tff(15387,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15388,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15389,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 5.86/4.52 tff(15390,plain,
% 5.86/4.52 (~node3(s189)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15389, 184, 15386])).
% 5.86/4.52 tff(15391,plain,
% 5.86/4.52 (((~![V: $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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15392,plain,
% 5.86/4.52 (((~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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15393,plain,
% 5.86/4.52 (((~![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))))),
% 5.86/4.52 inference(monotonicity,[status(thm)],[15392])).
% 5.86/4.52 tff(15394,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(transitivity,[status(thm)],[15393, 15391])).
% 5.86/4.52 tff(15395,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15396,plain,
% 5.86/4.52 ((~![V: $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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 5.86/4.52 tff(15397,plain,
% 5.86/4.52 (~m_main_v_state1(s189, c_n1)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15396, 936, 15190, 15275])).
% 5.86/4.52 tff(15398,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15399,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15400,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 5.86/4.52 tff(15401,plain,
% 5.86/4.52 (~node2(s189)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15400, 652, 15397])).
% 5.86/4.52 tff(15402,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15403,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15404,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 5.86/4.52 tff(15405,plain,
% 5.86/4.52 (~node1(s189)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15404, 206, 15322])).
% 5.86/4.52 tff(15406,plain,
% 5.86/4.52 (((~![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))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15407,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15408,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 5.86/4.52 tff(15409,plain,
% 5.86/4.52 (node7(s189, s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15408, 217, 15333])).
% 5.86/4.52 tff(15410,plain,
% 5.86/4.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15411,plain,
% 5.86/4.52 (((~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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15412,plain,
% 5.86/4.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.86/4.52 inference(monotonicity,[status(thm)],[15411])).
% 5.86/4.52 tff(15413,plain,
% 5.86/4.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.86/4.52 inference(transitivity,[status(thm)],[15412, 15410])).
% 5.86/4.52 tff(15414,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15415,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 5.86/4.52 tff(15416,plain,
% 5.86/4.52 ((~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)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15415, 965, 15409])).
% 5.86/4.52 tff(15417,plain,
% 5.86/4.52 (m_main_v_state1(s190, c_c1)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15416, 15405, 15318, 15282, 15401, 15390])).
% 5.86/4.52 tff(15418,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15419,plain,
% 5.86/4.52 ((~![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)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15420,plain,
% 5.86/4.52 ((~![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))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 5.86/4.52 tff(15421,plain,
% 5.86/4.52 (~m_main_v_state1(s190, c_n1)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15420, 449, 15417])).
% 5.86/4.52 tff(15422,plain,
% 5.86/4.52 (((~![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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15423,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15424,plain,
% 5.86/4.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 5.86/4.52 tff(15425,plain,
% 5.86/4.52 (~node11(s190)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15424, 361, 15421])).
% 5.86/4.52 tff(15426,plain,
% 5.86/4.52 (succ(s190, s191) <=> succ(s190, s191)),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15427,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 5.86/4.52 tff(15428,plain,
% 5.86/4.52 (succ(s190, s191)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 5.86/4.52 tff(15429,plain,
% 5.86/4.52 (((~![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))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15430,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15431,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 5.86/4.52 tff(15432,plain,
% 5.86/4.52 (trans(s190, s191)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15431, 15428, 57])).
% 5.86/4.52 tff(15433,plain,
% 5.86/4.52 (((~![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))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15434,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15435,plain,
% 5.86/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191)),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 5.86/4.52 tff(15436,plain,
% 5.86/4.52 (node14(s190, s191)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15435, 130, 15432])).
% 5.86/4.52 tff(15437,plain,
% 5.86/4.52 (((~![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(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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15438,plain,
% 5.86/4.52 ((~![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(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 5.86/4.52 inference(quant_inst,[status(thm)],[])).
% 5.86/4.52 tff(15439,plain,
% 5.86/4.52 ((~![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(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191))),
% 5.86/4.52 inference(modus_ponens,[status(thm)],[15438, 15437])).
% 5.86/4.52 tff(15440,plain,
% 5.86/4.52 (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15439, 401, 15436])).
% 5.86/4.52 tff(15441,plain,
% 5.86/4.52 (node13(s190, s191)),
% 5.86/4.52 inference(unit_resolution,[status(thm)],[15440, 15425, 15382, 15378, 15374, 15370, 15353])).
% 5.86/4.52 tff(15442,plain,
% 5.86/4.52 (((~![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(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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15443,plain,
% 5.86/4.52 (((~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)))),
% 5.86/4.52 inference(rewrite,[status(thm)],[])).
% 5.86/4.52 tff(15444,plain,
% 5.86/4.52 (((~![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))))),
% 5.86/4.53 inference(monotonicity,[status(thm)],[15443])).
% 5.86/4.53 tff(15445,plain,
% 5.86/4.53 (((~![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)))),
% 5.86/4.53 inference(transitivity,[status(thm)],[15444, 15442])).
% 5.86/4.53 tff(15446,plain,
% 5.86/4.53 ((~![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)))),
% 5.86/4.53 inference(quant_inst,[status(thm)],[])).
% 5.86/4.53 tff(15447,plain,
% 5.86/4.53 ((~![V: $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))),
% 5.86/4.53 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 5.86/4.53 tff(15448,plain,
% 5.86/4.53 (~m_main_v_state2(s191, c_n2)),
% 5.86/4.53 inference(unit_resolution,[status(thm)],[15447, 416, 15366, 15441])).
% 5.86/4.53 tff(15449,plain,
% 5.86/4.53 (((~![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)))),
% 5.86/4.53 inference(rewrite,[status(thm)],[])).
% 5.86/4.53 tff(15450,plain,
% 5.86/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 5.86/4.53 inference(quant_inst,[status(thm)],[])).
% 5.86/4.53 tff(15451,plain,
% 5.86/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191))),
% 5.86/4.53 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 5.86/4.53 tff(15452,plain,
% 5.86/4.53 (~node9(s191)),
% 5.86/4.53 inference(unit_resolution,[status(thm)],[15451, 311, 15448])).
% 5.86/4.53 tff(15453,plain,
% 5.86/4.53 (((~![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)))),
% 5.86/4.53 inference(rewrite,[status(thm)],[])).
% 5.86/4.53 tff(15454,plain,
% 5.86/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 5.86/4.53 inference(quant_inst,[status(thm)],[])).
% 5.86/4.53 tff(15455,plain,
% 5.86/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191))),
% 5.86/4.53 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 5.86/4.53 tff(15456,plain,
% 5.86/4.53 (~node10(s191)),
% 5.86/4.53 inference(unit_resolution,[status(thm)],[15455, 372, 15448])).
% 5.86/4.53 tff(15457,plain,
% 5.86/4.53 (((~![V: $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)))),
% 5.86/4.53 inference(rewrite,[status(thm)],[])).
% 5.86/4.53 tff(15458,plain,
% 5.86/4.53 (((~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)))),
% 5.86/4.53 inference(rewrite,[status(thm)],[])).
% 5.86/4.53 tff(15459,plain,
% 5.86/4.53 (((~![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))))),
% 5.86/4.53 inference(monotonicity,[status(thm)],[15458])).
% 5.86/4.53 tff(15460,plain,
% 5.86/4.53 (((~![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)))),
% 5.89/4.53 inference(transitivity,[status(thm)],[15459, 15457])).
% 5.89/4.53 tff(15461,plain,
% 5.89/4.53 ((~![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))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15462,plain,
% 5.89/4.53 ((~![V: $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))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15461, 15460])).
% 5.89/4.53 tff(15463,plain,
% 5.89/4.53 (m_main_v_state2(s191, c_t2)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15462, 563, 15362, 15441])).
% 5.89/4.53 tff(15464,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15465,plain,
% 5.89/4.53 ((~![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)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15466,plain,
% 5.89/4.53 ((~![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))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 5.89/4.53 tff(15467,plain,
% 5.89/4.53 (~m_main_v_state1(s190, c_t1)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15466, 289, 15417])).
% 5.89/4.53 tff(15468,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15469,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15470,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15469, 15468])).
% 5.89/4.53 tff(15471,plain,
% 5.89/4.53 (~node5(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15470, 300, 15467])).
% 5.89/4.53 tff(15472,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15473,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15474,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15473, 15472])).
% 5.89/4.53 tff(15475,plain,
% 5.89/4.53 (~node4(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15474, 162, 15366])).
% 5.89/4.53 tff(15476,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15477,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15478,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15477, 15476])).
% 5.89/4.53 tff(15479,plain,
% 5.89/4.53 (~node3(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15478, 184, 15382])).
% 5.89/4.53 tff(15480,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15481,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15482,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 5.89/4.53 tff(15483,plain,
% 5.89/4.53 (~node2(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15482, 195, 15366])).
% 5.89/4.53 tff(15484,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15485,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15486,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15485, 15484])).
% 5.89/4.53 tff(15487,plain,
% 5.89/4.53 (~node1(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15486, 249, 15421])).
% 5.89/4.53 tff(15488,plain,
% 5.89/4.53 (((~![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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15489,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15490,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 5.89/4.53 tff(15491,plain,
% 5.89/4.53 (node7(s190, s191)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15490, 217, 15432])).
% 5.89/4.53 tff(15492,plain,
% 5.89/4.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15493,plain,
% 5.89/4.53 (((~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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15494,plain,
% 5.89/4.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.89/4.53 inference(monotonicity,[status(thm)],[15493])).
% 5.89/4.53 tff(15495,plain,
% 5.89/4.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.53 inference(transitivity,[status(thm)],[15494, 15492])).
% 5.89/4.53 tff(15496,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15497,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 5.89/4.53 tff(15498,plain,
% 5.89/4.53 (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15497, 478, 15491])).
% 5.89/4.53 tff(15499,plain,
% 5.89/4.53 (m_main_v_state1(s191, c_n1)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15498, 15487, 15417, 15483, 15479, 15475, 15471])).
% 5.89/4.53 tff(15500,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15501,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15502,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 5.89/4.53 tff(15503,plain,
% 5.89/4.53 (~node8(s191)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15502, 383, 15448])).
% 5.89/4.53 tff(15504,plain,
% 5.89/4.53 (succ(s191, s192) <=> succ(s191, s192)),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15505,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 5.89/4.53 tff(15506,plain,
% 5.89/4.53 (succ(s191, s192)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15505, 15504])).
% 5.89/4.53 tff(15507,plain,
% 5.89/4.53 (((~![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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15508,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15509,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 5.89/4.53 tff(15510,plain,
% 5.89/4.53 (trans(s191, s192)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15509, 15506, 57])).
% 5.89/4.53 tff(15511,plain,
% 5.89/4.53 (((~![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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15512,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15513,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15512, 15511])).
% 5.89/4.53 tff(15514,plain,
% 5.89/4.53 (node14(s191, s192)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15513, 130, 15510])).
% 5.89/4.53 tff(15515,plain,
% 5.89/4.53 (((~![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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15516,plain,
% 5.89/4.53 ((~![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))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15517,plain,
% 5.89/4.53 ((~![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)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 5.89/4.53 tff(15518,plain,
% 5.89/4.53 ((~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)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15517, 704, 15514])).
% 5.89/4.53 tff(15519,plain,
% 5.89/4.53 (m_main_v_state2(s192, c_c2)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15518, 15503, 15499, 15463, 15456, 15452])).
% 5.89/4.53 tff(15520,plain,
% 5.89/4.53 (^[X: $i] : refl(((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ((~m_main_v_state2(X, c_c2)) | (~always25(X))))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15521,plain,
% 5.89/4.53 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15520])).
% 5.89/4.53 tff(15522,plain,
% 5.89/4.53 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15523,axiom,(![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty14')).
% 5.89/4.53 tff(15524,plain,
% 5.89/4.53 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15523, 15522])).
% 5.89/4.53 tff(15525,plain,(
% 5.89/4.53 ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.89/4.53 inference(skolemize,[status(sab)],[15524])).
% 5.89/4.53 tff(15526,plain,
% 5.89/4.53 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15525, 15521])).
% 5.89/4.53 tff(15527,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15528,plain,
% 5.89/4.53 (((~m_main_v_state2(s192, c_c2)) | (~always25(s192))) <=> ((~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15529,plain,
% 5.89/4.53 (((~![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))))),
% 5.89/4.53 inference(monotonicity,[status(thm)],[15528])).
% 5.89/4.53 tff(15530,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(transitivity,[status(thm)],[15529, 15527])).
% 5.89/4.53 tff(15531,plain,
% 5.89/4.53 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15532,plain,
% 5.89/4.53 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 5.89/4.53 tff(15533,plain,
% 5.89/4.53 (~always25(s192)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15532, 15526, 15519])).
% 5.89/4.53 tff(15534,assumption,(~always25(s299)), introduced(assumption)).
% 5.89/4.53 tff(15535,assumption,(~xuntil28(s299)), introduced(assumption)).
% 5.89/4.53 tff(15536,assumption,(node26(s299)), introduced(assumption)).
% 5.89/4.53 tff(15537,plain,
% 5.89/4.53 (^[X: $i] : refl((always25(X) | (~node26(X))) <=> (always25(X) | (~node26(X))))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15538,plain,
% 5.89/4.53 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15537])).
% 5.89/4.53 tff(15539,plain,
% 5.89/4.53 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15540,axiom,(![X: $i] : (always25(X) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty18')).
% 5.89/4.53 tff(15541,plain,
% 5.89/4.53 (![X: $i] : (always25(X) | (~node26(X)))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15540, 15539])).
% 5.89/4.53 tff(15542,plain,(
% 5.89/4.53 ![X: $i] : (always25(X) | (~node26(X)))),
% 5.89/4.53 inference(skolemize,[status(sab)],[15541])).
% 5.89/4.53 tff(15543,plain,
% 5.89/4.53 (![X: $i] : (always25(X) | (~node26(X)))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15542, 15538])).
% 5.89/4.53 tff(15544,plain,
% 5.89/4.53 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s299) | (~node26(s299)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s299) | (~node26(s299)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15545,plain,
% 5.89/4.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s299) | (~node26(s299)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15546,plain,
% 5.89/4.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s299) | (~node26(s299))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 5.89/4.53 tff(15547,plain,
% 5.89/4.53 ($false),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15546, 15543, 15534, 15536])).
% 5.89/4.53 tff(15548,plain,((~node26(s299)) | always25(s299)), inference(lemma,lemma(discharge,[]))).
% 5.89/4.53 tff(15549,plain,
% 5.89/4.53 (~node26(s299)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15548, 15534])).
% 5.89/4.53 tff(15550,assumption,(~node26(s299)), introduced(assumption)).
% 5.89/4.53 tff(15551,assumption,(until27(s299)), introduced(assumption)).
% 5.89/4.53 tff(15552,plain,
% 5.89/4.53 (^[X: $i] : refl((node26(X) | (~until27(X)) | xuntil28(X)) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15553,plain,
% 5.89/4.53 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15552])).
% 5.89/4.53 tff(15554,plain,
% 5.89/4.53 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15555,plain,
% 5.89/4.53 (^[X: $i] : rewrite(((node26(X) | xuntil28(X)) | (~until27(X))) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15556,plain,
% 5.89/4.53 (![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X))) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15555])).
% 5.89/4.53 tff(15557,axiom,(![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty19')).
% 5.89/4.53 tff(15558,plain,
% 5.89/4.53 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 5.89/4.53 tff(15559,plain,
% 5.89/4.53 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15558, 15554])).
% 5.89/4.53 tff(15560,plain,(
% 5.89/4.53 ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(skolemize,[status(sab)],[15559])).
% 5.89/4.53 tff(15561,plain,
% 5.89/4.53 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15560, 15553])).
% 5.89/4.53 tff(15562,plain,
% 5.89/4.53 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s299) | node26(s299) | (~until27(s299)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s299) | node26(s299) | (~until27(s299)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15563,plain,
% 5.89/4.53 ((node26(s299) | (~until27(s299)) | xuntil28(s299)) <=> (xuntil28(s299) | node26(s299) | (~until27(s299)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15564,plain,
% 5.89/4.53 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s299) | (~until27(s299)) | xuntil28(s299))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s299) | node26(s299) | (~until27(s299))))),
% 5.89/4.53 inference(monotonicity,[status(thm)],[15563])).
% 5.89/4.53 tff(15565,plain,
% 5.89/4.53 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s299) | (~until27(s299)) | xuntil28(s299))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s299) | node26(s299) | (~until27(s299)))),
% 5.89/4.53 inference(transitivity,[status(thm)],[15564, 15562])).
% 5.89/4.53 tff(15566,plain,
% 5.89/4.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s299) | (~until27(s299)) | xuntil28(s299))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15567,plain,
% 5.89/4.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s299) | node26(s299) | (~until27(s299))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15566, 15565])).
% 5.89/4.53 tff(15568,plain,
% 5.89/4.53 ($false),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15567, 15561, 15551, 15535, 15550])).
% 5.89/4.53 tff(15569,plain,((~until27(s299)) | xuntil28(s299) | node26(s299)), inference(lemma,lemma(discharge,[]))).
% 5.89/4.53 tff(15570,plain,
% 5.89/4.53 (~until27(s299)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15569, 15549, 15535])).
% 5.89/4.53 tff(15571,plain,
% 5.89/4.53 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15572,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15571])).
% 5.89/4.53 tff(15573,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15574,plain,
% 5.89/4.53 (^[Y: $i, X: $i] : rewrite(((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 5.89/4.53 inference(bind,[status(th)],[])).
% 5.89/4.53 tff(15575,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(quant_intro,[status(thm)],[15574])).
% 5.89/4.53 tff(15576,axiom,(![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty20')).
% 5.89/4.53 tff(15577,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 5.89/4.53 tff(15578,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15577, 15573])).
% 5.89/4.53 tff(15579,plain,(
% 5.89/4.53 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(skolemize,[status(sab)],[15578])).
% 5.89/4.53 tff(15580,plain,
% 5.89/4.53 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15579, 15572])).
% 5.89/4.53 tff(15581,plain,
% 5.89/4.53 (succ(s298, s299) <=> succ(s298, s299)),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15582,axiom,(succ(s298, s299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound299')).
% 5.89/4.53 tff(15583,plain,
% 5.89/4.53 (succ(s298, s299)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 5.89/4.53 tff(15584,plain,
% 5.89/4.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s298, s299)) | (~xuntil28(s298)) | until27(s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s298, s299)) | (~xuntil28(s298)) | until27(s299))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15585,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s298, s299)) | (~xuntil28(s298)) | until27(s299))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15586,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s298, s299)) | (~xuntil28(s298)) | until27(s299)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 5.89/4.53 tff(15587,plain,
% 5.89/4.53 ((~xuntil28(s298)) | until27(s299)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15586, 15583, 15580])).
% 5.89/4.53 tff(15588,plain,
% 5.89/4.53 (~xuntil28(s298)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15587, 15570])).
% 5.89/4.53 tff(15589,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15590,plain,
% 5.89/4.53 ((~![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)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15591,plain,
% 5.89/4.53 ((~![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))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 5.89/4.53 tff(15592,plain,
% 5.89/4.53 (~m_main_v_state2(s192, c_t2)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15591, 173, 15519])).
% 5.89/4.53 tff(15593,plain,
% 5.89/4.53 (((~![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)))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15594,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15595,plain,
% 5.89/4.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192))),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 5.89/4.53 tff(15596,plain,
% 5.89/4.53 (~node12(s192)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15595, 778, 15592])).
% 5.89/4.53 tff(15597,plain,
% 5.89/4.53 (((~![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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15598,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15599,plain,
% 5.89/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192)),
% 5.89/4.53 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 5.89/4.53 tff(15600,plain,
% 5.89/4.53 (node7(s191, s192)),
% 5.89/4.53 inference(unit_resolution,[status(thm)],[15599, 217, 15510])).
% 5.89/4.53 tff(15601,plain,
% 5.89/4.53 (((~![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(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))),
% 5.89/4.53 inference(rewrite,[status(thm)],[])).
% 5.89/4.53 tff(15602,plain,
% 5.89/4.53 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 5.89/4.53 inference(quant_inst,[status(thm)],[])).
% 5.89/4.53 tff(15603,plain,
% 5.89/4.53 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 5.89/4.54 tff(15604,plain,
% 5.89/4.54 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_state1(s192, c_t1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15603, 598, 15600])).
% 5.89/4.54 tff(15605,plain,
% 5.89/4.54 (m_main_v_state1(s192, c_t1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15604, 15463, 15499])).
% 5.89/4.54 tff(15606,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15607,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15608,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15607, 15606])).
% 5.89/4.54 tff(15609,plain,
% 5.89/4.54 (~m_main_v_state1(s192, c_n1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15608, 35, 15605])).
% 5.89/4.54 tff(15610,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15611,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15612,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 5.89/4.54 tff(15613,plain,
% 5.89/4.54 (~node11(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15612, 361, 15609])).
% 5.89/4.54 tff(15614,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15615,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15616,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 5.89/4.54 tff(15617,plain,
% 5.89/4.54 (~m_main_v_state1(s192, c_c1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15616, 289, 15605])).
% 5.89/4.54 tff(15618,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15619,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15620,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 5.89/4.54 tff(15621,plain,
% 5.89/4.54 (~node10(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15620, 793, 15617])).
% 5.89/4.54 tff(15622,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15623,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15624,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 5.89/4.54 tff(15625,plain,
% 5.89/4.54 (~node9(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15624, 804, 15609])).
% 5.89/4.54 tff(15626,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15627,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15628,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 5.89/4.54 tff(15629,plain,
% 5.89/4.54 (~m_main_v_state2(s192, c_n2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15628, 716, 15519])).
% 5.89/4.54 tff(15630,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15631,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15632,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 5.89/4.54 tff(15633,plain,
% 5.89/4.54 (~node8(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15632, 383, 15629])).
% 5.89/4.54 tff(15634,plain,
% 5.89/4.54 (succ(s192, s193) <=> succ(s192, s193)),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15635,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 5.89/4.54 tff(15636,plain,
% 5.89/4.54 (succ(s192, s193)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15635, 15634])).
% 5.89/4.54 tff(15637,plain,
% 5.89/4.54 (((~![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))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15638,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15639,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15638, 15637])).
% 5.89/4.54 tff(15640,plain,
% 5.89/4.54 (trans(s192, s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15639, 15636, 57])).
% 5.89/4.54 tff(15641,plain,
% 5.89/4.54 (((~![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))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15642,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15643,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 5.89/4.54 tff(15644,plain,
% 5.89/4.54 (node14(s192, s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15643, 130, 15640])).
% 5.89/4.54 tff(15645,plain,
% 5.89/4.54 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15646,plain,
% 5.89/4.54 (((~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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15647,plain,
% 5.89/4.54 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.89/4.54 inference(monotonicity,[status(thm)],[15646])).
% 5.89/4.54 tff(15648,plain,
% 5.89/4.54 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.54 inference(transitivity,[status(thm)],[15647, 15645])).
% 5.89/4.54 tff(15649,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15650,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 5.89/4.54 tff(15651,plain,
% 5.89/4.54 (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~m_main_v_state2(s192, c_c2))),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15650, 826, 15644])).
% 5.89/4.54 tff(15652,plain,
% 5.89/4.54 (m_main_v_state2(s193, c_n2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15651, 15633, 15519, 15625, 15621, 15613, 15596])).
% 5.89/4.54 tff(15653,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15654,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15655,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 5.89/4.54 tff(15656,plain,
% 5.89/4.54 (~m_main_v_state2(s193, c_c2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15655, 716, 15652])).
% 5.89/4.54 tff(15657,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15658,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15659,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 5.89/4.54 tff(15660,plain,
% 5.89/4.54 (~node3(s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15659, 184, 15656])).
% 5.89/4.54 tff(15661,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15662,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15663,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 5.89/4.54 tff(15664,plain,
% 5.89/4.54 (~node1(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15663, 249, 15609])).
% 5.89/4.54 tff(15665,plain,
% 5.89/4.54 (((~![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))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15666,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15667,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 5.89/4.54 tff(15668,plain,
% 5.89/4.54 (node18(s191, s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15667, 71, 15510])).
% 5.89/4.54 tff(15669,plain,
% 5.89/4.54 (((~![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))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15670,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15671,plain,
% 5.89/4.54 ((~![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)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 5.89/4.54 tff(15672,plain,
% 5.89/4.54 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_turn(s192, c_2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15671, 625, 15668])).
% 5.89/4.54 tff(15673,plain,
% 5.89/4.54 (m_main_v_turn(s192, c_2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15672, 15463, 15499])).
% 5.89/4.54 tff(15674,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15675,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15676,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 5.89/4.54 tff(15677,plain,
% 5.89/4.54 (~m_main_v_turn(s192, c_1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15676, 322, 15673])).
% 5.89/4.54 tff(15678,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15679,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15680,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15679, 15678])).
% 5.89/4.54 tff(15681,plain,
% 5.89/4.54 (~node5(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15680, 641, 15677])).
% 5.89/4.54 tff(15682,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15683,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15684,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15683, 15682])).
% 5.89/4.54 tff(15685,plain,
% 5.89/4.54 (~node2(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15684, 652, 15609])).
% 5.89/4.54 tff(15686,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15687,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15688,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15687, 15686])).
% 5.89/4.54 tff(15689,plain,
% 5.89/4.54 (~node3(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15688, 663, 15609])).
% 5.89/4.54 tff(15690,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15691,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15692,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15691, 15690])).
% 5.89/4.54 tff(15693,plain,
% 5.89/4.54 (~node4(s192)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15692, 162, 15629])).
% 5.89/4.54 tff(15694,plain,
% 5.89/4.54 (((~![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))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15695,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15696,plain,
% 5.89/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193)),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15695, 15694])).
% 5.89/4.54 tff(15697,plain,
% 5.89/4.54 (node7(s192, s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15696, 217, 15640])).
% 5.89/4.54 tff(15698,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15699,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15700,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15699, 15698])).
% 5.89/4.54 tff(15701,plain,
% 5.89/4.54 (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15700, 745, 15697])).
% 5.89/4.54 tff(15702,plain,
% 5.89/4.54 (node6(s192, s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15701, 15693, 15617, 15689, 15685, 15681, 15664])).
% 5.89/4.54 tff(15703,plain,
% 5.89/4.54 (((~![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(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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15704,plain,
% 5.89/4.54 (((~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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15705,plain,
% 5.89/4.54 (((~![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))))),
% 5.89/4.54 inference(monotonicity,[status(thm)],[15704])).
% 5.89/4.54 tff(15706,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(transitivity,[status(thm)],[15705, 15703])).
% 5.89/4.54 tff(15707,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15708,plain,
% 5.89/4.54 ((~![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(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 5.89/4.54 tff(15709,plain,
% 5.89/4.54 (~m_main_v_state1(s193, c_n1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15708, 936, 15609, 15702])).
% 5.89/4.54 tff(15710,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15711,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15712,plain,
% 5.89/4.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 5.89/4.54 tff(15713,plain,
% 5.89/4.54 (~node2(s193)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15712, 652, 15709])).
% 5.89/4.54 tff(15714,plain,
% 5.89/4.54 (((~![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(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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15715,plain,
% 5.89/4.54 (((~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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15716,plain,
% 5.89/4.54 (((~![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))))),
% 5.89/4.54 inference(monotonicity,[status(thm)],[15715])).
% 5.89/4.54 tff(15717,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(transitivity,[status(thm)],[15716, 15714])).
% 5.89/4.54 tff(15718,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15719,plain,
% 5.89/4.54 ((~![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(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15718, 15717])).
% 5.89/4.54 tff(15720,plain,
% 5.89/4.54 (m_main_v_state1(s193, c_t1)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15719, 760, 15605, 15702])).
% 5.89/4.54 tff(15721,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.54 inference(rewrite,[status(thm)],[])).
% 5.89/4.54 tff(15722,plain,
% 5.89/4.54 ((~![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)))),
% 5.89/4.54 inference(quant_inst,[status(thm)],[])).
% 5.89/4.54 tff(15723,plain,
% 5.89/4.54 ((~![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))),
% 5.89/4.54 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 5.89/4.54 tff(15724,plain,
% 5.89/4.54 (~m_main_v_state2(s193, c_t2)),
% 5.89/4.54 inference(unit_resolution,[status(thm)],[15723, 10, 15652])).
% 5.89/4.54 tff(15725,plain,
% 5.89/4.54 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15726,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15727,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 5.89/4.55 tff(15728,plain,
% 5.89/4.55 (~node1(s193)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15727, 206, 15724])).
% 5.89/4.55 tff(15729,plain,
% 5.89/4.55 (succ(s193, s194) <=> succ(s193, s194)),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15730,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 5.89/4.55 tff(15731,plain,
% 5.89/4.55 (succ(s193, s194)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15730, 15729])).
% 5.89/4.55 tff(15732,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15733,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15734,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 5.89/4.55 tff(15735,plain,
% 5.89/4.55 (trans(s193, s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15734, 15731, 57])).
% 5.89/4.55 tff(15736,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15737,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15738,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 5.89/4.55 tff(15739,plain,
% 5.89/4.55 (node7(s193, s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15738, 217, 15735])).
% 5.89/4.55 tff(15740,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15741,plain,
% 5.89/4.55 (((~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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15742,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.89/4.55 inference(monotonicity,[status(thm)],[15741])).
% 5.89/4.55 tff(15743,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.55 inference(transitivity,[status(thm)],[15742, 15740])).
% 5.89/4.55 tff(15744,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15745,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15744, 15743])).
% 5.89/4.55 tff(15746,plain,
% 5.89/4.55 ((~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)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15745, 965, 15739])).
% 5.89/4.55 tff(15747,plain,
% 5.89/4.55 (m_main_v_state1(s194, c_c1)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15746, 15728, 15652, 15720, 15713, 15660])).
% 5.89/4.55 tff(15748,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15749,plain,
% 5.89/4.55 ((~![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)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15750,plain,
% 5.89/4.55 ((~![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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 5.89/4.55 tff(15751,plain,
% 5.89/4.55 (~m_main_v_state1(s194, c_t1)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15750, 289, 15747])).
% 5.89/4.55 tff(15752,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15753,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15754,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 5.89/4.55 tff(15755,plain,
% 5.89/4.55 (~node5(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15754, 300, 15751])).
% 5.89/4.55 tff(15756,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15757,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15758,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 5.89/4.55 tff(15759,plain,
% 5.89/4.55 (node14(s193, s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15758, 130, 15735])).
% 5.89/4.55 tff(15760,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15761,plain,
% 5.89/4.55 ((~![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))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15762,plain,
% 5.89/4.55 ((~![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)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 5.89/4.55 tff(15763,plain,
% 5.89/4.55 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state2(s194, c_t2)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15762, 893, 15759])).
% 5.89/4.55 tff(15764,plain,
% 5.89/4.55 (m_main_v_state2(s194, c_t2)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15763, 15720, 15652])).
% 5.89/4.55 tff(15765,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15766,plain,
% 5.89/4.55 ((~![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)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15767,plain,
% 5.89/4.55 ((~![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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15766, 15765])).
% 5.89/4.55 tff(15768,plain,
% 5.89/4.55 (~m_main_v_state2(s194, c_n2)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15767, 10, 15764])).
% 5.89/4.55 tff(15769,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15770,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15771,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 5.89/4.55 tff(15772,plain,
% 5.89/4.55 (~node4(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15771, 162, 15768])).
% 5.89/4.55 tff(15773,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15774,plain,
% 5.89/4.55 ((~![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)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15775,plain,
% 5.89/4.55 ((~![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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 5.89/4.55 tff(15776,plain,
% 5.89/4.55 (~m_main_v_state2(s194, c_c2)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15775, 173, 15764])).
% 5.89/4.55 tff(15777,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15778,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15779,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15778, 15777])).
% 5.89/4.55 tff(15780,plain,
% 5.89/4.55 (~node3(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15779, 184, 15776])).
% 5.89/4.55 tff(15781,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15782,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15783,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 5.89/4.55 tff(15784,plain,
% 5.89/4.55 (~node2(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15783, 195, 15768])).
% 5.89/4.55 tff(15785,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15786,plain,
% 5.89/4.55 ((~![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)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15787,plain,
% 5.89/4.55 ((~![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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 5.89/4.55 tff(15788,plain,
% 5.89/4.55 (~m_main_v_state1(s194, c_n1)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15787, 449, 15747])).
% 5.89/4.55 tff(15789,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15790,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15791,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15790, 15789])).
% 5.89/4.55 tff(15792,plain,
% 5.89/4.55 (~node1(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15791, 249, 15788])).
% 5.89/4.55 tff(15793,plain,
% 5.89/4.55 (succ(s194, s195) <=> succ(s194, s195)),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15794,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 5.89/4.55 tff(15795,plain,
% 5.89/4.55 (succ(s194, s195)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 5.89/4.55 tff(15796,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15797,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15798,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 5.89/4.55 tff(15799,plain,
% 5.89/4.55 (trans(s194, s195)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15798, 15795, 57])).
% 5.89/4.55 tff(15800,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15801,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15802,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 5.89/4.55 tff(15803,plain,
% 5.89/4.55 (node7(s194, s195)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15802, 217, 15799])).
% 5.89/4.55 tff(15804,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15805,plain,
% 5.89/4.55 (((~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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15806,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.89/4.55 inference(monotonicity,[status(thm)],[15805])).
% 5.89/4.55 tff(15807,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.55 inference(transitivity,[status(thm)],[15806, 15804])).
% 5.89/4.55 tff(15808,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15809,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 5.89/4.55 tff(15810,plain,
% 5.89/4.55 (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15809, 478, 15803])).
% 5.89/4.55 tff(15811,plain,
% 5.89/4.55 (m_main_v_state1(s195, c_n1)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15810, 15792, 15747, 15784, 15780, 15772, 15755])).
% 5.89/4.55 tff(15812,plain,
% 5.89/4.55 (((~![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)))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15813,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15814,plain,
% 5.89/4.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193))),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 5.89/4.55 tff(15815,plain,
% 5.89/4.55 (~node15(s193)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15814, 21, 15724])).
% 5.89/4.55 tff(15816,plain,
% 5.89/4.55 (((~![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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15817,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))),
% 5.89/4.55 inference(quant_inst,[status(thm)],[])).
% 5.89/4.55 tff(15818,plain,
% 5.89/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194)),
% 5.89/4.55 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 5.89/4.55 tff(15819,plain,
% 5.89/4.55 (node18(s193, s194)),
% 5.89/4.55 inference(unit_resolution,[status(thm)],[15818, 71, 15735])).
% 5.89/4.55 tff(15820,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15821,plain,
% 5.89/4.55 (((~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))),
% 5.89/4.55 inference(rewrite,[status(thm)],[])).
% 5.89/4.55 tff(15822,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.89/4.55 inference(monotonicity,[status(thm)],[15821])).
% 5.89/4.55 tff(15823,plain,
% 5.89/4.55 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.89/4.56 inference(transitivity,[status(thm)],[15822, 15820])).
% 5.89/4.56 tff(15824,plain,
% 5.89/4.56 ((~![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(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15825,plain,
% 5.89/4.56 ((~![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(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)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 5.89/4.56 tff(15826,plain,
% 5.89/4.56 (node15(s193) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15825, 863, 15819])).
% 5.89/4.56 tff(15827,plain,
% 5.89/4.56 (m_main_v_turn(s194, c_1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15826, 15815, 15652, 15720])).
% 5.89/4.56 tff(15828,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15829,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15830,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 5.89/4.56 tff(15831,plain,
% 5.89/4.56 (~m_main_v_turn(s194, c_2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15830, 322, 15827])).
% 5.89/4.56 tff(15832,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15833,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15834,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15833, 15832])).
% 5.89/4.56 tff(15835,plain,
% 5.89/4.56 (~node12(s194)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15834, 350, 15831])).
% 5.89/4.56 tff(15836,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15837,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15838,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15837, 15836])).
% 5.89/4.56 tff(15839,plain,
% 5.89/4.56 (~node8(s194)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15838, 383, 15768])).
% 5.89/4.56 tff(15840,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15841,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15842,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15841, 15840])).
% 5.89/4.56 tff(15843,plain,
% 5.89/4.56 (~node9(s194)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15842, 311, 15768])).
% 5.89/4.56 tff(15844,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15845,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15846,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 5.89/4.56 tff(15847,plain,
% 5.89/4.56 (~node10(s194)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15846, 372, 15768])).
% 5.89/4.56 tff(15848,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15849,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15850,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15849, 15848])).
% 5.89/4.56 tff(15851,plain,
% 5.89/4.56 (~node11(s194)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15850, 361, 15788])).
% 5.89/4.56 tff(15852,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15853,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15854,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15853, 15852])).
% 5.89/4.56 tff(15855,plain,
% 5.89/4.56 (node14(s194, s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15854, 130, 15799])).
% 5.89/4.56 tff(15856,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15857,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15858,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 5.89/4.56 tff(15859,plain,
% 5.89/4.56 (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15858, 401, 15855])).
% 5.89/4.56 tff(15860,plain,
% 5.89/4.56 (node13(s194, s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15859, 15851, 15776, 15847, 15843, 15839, 15835])).
% 5.89/4.56 tff(15861,plain,
% 5.89/4.56 (((~![V: $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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15862,plain,
% 5.89/4.56 (((~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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15863,plain,
% 5.89/4.56 (((~![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))))),
% 5.89/4.56 inference(monotonicity,[status(thm)],[15862])).
% 5.89/4.56 tff(15864,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(transitivity,[status(thm)],[15863, 15861])).
% 5.89/4.56 tff(15865,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15866,plain,
% 5.89/4.56 ((~![V: $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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 5.89/4.56 tff(15867,plain,
% 5.89/4.56 (m_main_v_state2(s195, c_t2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15866, 563, 15764, 15860])).
% 5.89/4.56 tff(15868,plain,
% 5.89/4.56 (succ(s195, s196) <=> succ(s195, s196)),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15869,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 5.89/4.56 tff(15870,plain,
% 5.89/4.56 (succ(s195, s196)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 5.89/4.56 tff(15871,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15872,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15873,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 5.89/4.56 tff(15874,plain,
% 5.89/4.56 (trans(s195, s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15873, 15870, 57])).
% 5.89/4.56 tff(15875,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15876,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15877,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15876, 15875])).
% 5.89/4.56 tff(15878,plain,
% 5.89/4.56 (node7(s195, s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15877, 217, 15874])).
% 5.89/4.56 tff(15879,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15880,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15881,plain,
% 5.89/4.56 ((~![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)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15880, 15879])).
% 5.89/4.56 tff(15882,plain,
% 5.89/4.56 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_state1(s196, c_t1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15881, 598, 15878])).
% 5.89/4.56 tff(15883,plain,
% 5.89/4.56 (m_main_v_state1(s196, c_t1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15882, 15867, 15811])).
% 5.89/4.56 tff(15884,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15885,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15886,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15885, 15884])).
% 5.89/4.56 tff(15887,plain,
% 5.89/4.56 (~m_main_v_state1(s196, c_n1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15886, 35, 15883])).
% 5.89/4.56 tff(15888,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15889,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15890,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 5.89/4.56 tff(15891,plain,
% 5.89/4.56 (~node1(s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15890, 249, 15887])).
% 5.89/4.56 tff(15892,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15893,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15894,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15893, 15892])).
% 5.89/4.56 tff(15895,plain,
% 5.89/4.56 (node18(s195, s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15894, 71, 15874])).
% 5.89/4.56 tff(15896,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15897,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15898,plain,
% 5.89/4.56 ((~![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)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15897, 15896])).
% 5.89/4.56 tff(15899,plain,
% 5.89/4.56 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_turn(s196, c_2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15898, 625, 15895])).
% 5.89/4.56 tff(15900,plain,
% 5.89/4.56 (m_main_v_turn(s196, c_2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15899, 15867, 15811])).
% 5.89/4.56 tff(15901,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15902,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15903,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 5.89/4.56 tff(15904,plain,
% 5.89/4.56 (~m_main_v_turn(s196, c_1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15903, 322, 15900])).
% 5.89/4.56 tff(15905,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15906,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15907,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 5.89/4.56 tff(15908,plain,
% 5.89/4.56 (~node5(s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15907, 641, 15904])).
% 5.89/4.56 tff(15909,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15910,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15911,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 5.89/4.56 tff(15912,plain,
% 5.89/4.56 (~node2(s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15911, 652, 15887])).
% 5.89/4.56 tff(15913,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15914,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15915,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15914, 15913])).
% 5.89/4.56 tff(15916,plain,
% 5.89/4.56 (~node3(s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15915, 663, 15887])).
% 5.89/4.56 tff(15917,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15918,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15919,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 5.89/4.56 tff(15920,plain,
% 5.89/4.56 (~m_main_v_state1(s196, c_c1)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15919, 289, 15883])).
% 5.89/4.56 tff(15921,plain,
% 5.89/4.56 (((~![V: $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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15922,plain,
% 5.89/4.56 (((~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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15923,plain,
% 5.89/4.56 (((~![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))))),
% 5.89/4.56 inference(monotonicity,[status(thm)],[15922])).
% 5.89/4.56 tff(15924,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(transitivity,[status(thm)],[15923, 15921])).
% 5.89/4.56 tff(15925,plain,
% 5.89/4.56 ((~![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)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15926,plain,
% 5.89/4.56 ((~![V: $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))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15925, 15924])).
% 5.89/4.56 tff(15927,plain,
% 5.89/4.56 (~m_main_v_state2(s195, c_n2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15926, 416, 15768, 15860])).
% 5.89/4.56 tff(15928,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15929,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15930,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 5.89/4.56 tff(15931,plain,
% 5.89/4.56 (~node9(s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15930, 311, 15927])).
% 5.89/4.56 tff(15932,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15933,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15934,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15933, 15932])).
% 5.89/4.56 tff(15935,plain,
% 5.89/4.56 (~node10(s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15934, 372, 15927])).
% 5.89/4.56 tff(15936,plain,
% 5.89/4.56 (((~![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)))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15937,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15938,plain,
% 5.89/4.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195))),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 5.89/4.56 tff(15939,plain,
% 5.89/4.56 (~node8(s195)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15938, 383, 15927])).
% 5.89/4.56 tff(15940,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15941,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15942,plain,
% 5.89/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 5.89/4.56 tff(15943,plain,
% 5.89/4.56 (node14(s195, s196)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15942, 130, 15874])).
% 5.89/4.56 tff(15944,plain,
% 5.89/4.56 (((~![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))),
% 5.89/4.56 inference(rewrite,[status(thm)],[])).
% 5.89/4.56 tff(15945,plain,
% 5.89/4.56 ((~![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))),
% 5.89/4.56 inference(quant_inst,[status(thm)],[])).
% 5.89/4.56 tff(15946,plain,
% 5.89/4.56 ((~![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)),
% 5.89/4.56 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 5.89/4.56 tff(15947,plain,
% 5.89/4.56 ((~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)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15946, 704, 15943])).
% 5.89/4.56 tff(15948,plain,
% 5.89/4.56 (m_main_v_state2(s196, c_c2)),
% 5.89/4.56 inference(unit_resolution,[status(thm)],[15947, 15939, 15811, 15867, 15935, 15931])).
% 5.89/4.57 tff(15949,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15950,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15951,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 5.89/4.57 tff(15952,plain,
% 5.89/4.57 (~m_main_v_state2(s196, c_n2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15951, 716, 15948])).
% 5.89/4.57 tff(15953,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15954,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15955,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 5.89/4.57 tff(15956,plain,
% 5.89/4.57 (~node4(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15955, 162, 15952])).
% 5.89/4.57 tff(15957,plain,
% 5.89/4.57 (succ(s196, s197) <=> succ(s196, s197)),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15958,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 5.89/4.57 tff(15959,plain,
% 5.89/4.57 (succ(s196, s197)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 5.89/4.57 tff(15960,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15961,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15962,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 5.89/4.57 tff(15963,plain,
% 5.89/4.57 (trans(s196, s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15962, 15959, 57])).
% 5.89/4.57 tff(15964,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15965,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15966,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 5.89/4.57 tff(15967,plain,
% 5.89/4.57 (node7(s196, s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15966, 217, 15963])).
% 5.89/4.57 tff(15968,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15969,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15970,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 5.89/4.57 tff(15971,plain,
% 5.89/4.57 (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15970, 745, 15967])).
% 5.89/4.57 tff(15972,plain,
% 5.89/4.57 (node6(s196, s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15971, 15956, 15920, 15916, 15912, 15908, 15891])).
% 5.89/4.57 tff(15973,plain,
% 5.89/4.57 (((~![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(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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15974,plain,
% 5.89/4.57 (((~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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15975,plain,
% 5.89/4.57 (((~![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))))),
% 5.89/4.57 inference(monotonicity,[status(thm)],[15974])).
% 5.89/4.57 tff(15976,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(transitivity,[status(thm)],[15975, 15973])).
% 5.89/4.57 tff(15977,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15978,plain,
% 5.89/4.57 ((~![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(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 5.89/4.57 tff(15979,plain,
% 5.89/4.57 (m_main_v_state1(s197, c_t1)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15978, 760, 15883, 15972])).
% 5.89/4.57 tff(15980,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15981,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15982,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 5.89/4.57 tff(15983,plain,
% 5.89/4.57 (~m_main_v_state2(s196, c_t2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15982, 173, 15948])).
% 5.89/4.57 tff(15984,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15985,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15986,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 5.89/4.57 tff(15987,plain,
% 5.89/4.57 (~node12(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15986, 778, 15983])).
% 5.89/4.57 tff(15988,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15989,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15990,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 5.89/4.57 tff(15991,plain,
% 5.89/4.57 (~node11(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15990, 361, 15887])).
% 5.89/4.57 tff(15992,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15993,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15994,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15993, 15992])).
% 5.89/4.57 tff(15995,plain,
% 5.89/4.57 (~node10(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15994, 793, 15920])).
% 5.89/4.57 tff(15996,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(15997,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(15998,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 5.89/4.57 tff(15999,plain,
% 5.89/4.57 (~node9(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[15998, 804, 15887])).
% 5.89/4.57 tff(16000,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16001,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16002,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16001, 16000])).
% 5.89/4.57 tff(16003,plain,
% 5.89/4.57 (~node8(s196)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16002, 383, 15952])).
% 5.89/4.57 tff(16004,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16005,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16006,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 5.89/4.57 tff(16007,plain,
% 5.89/4.57 (node14(s196, s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16006, 130, 15963])).
% 5.89/4.57 tff(16008,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16009,plain,
% 5.89/4.57 (((~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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16010,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.89/4.57 inference(monotonicity,[status(thm)],[16009])).
% 5.89/4.57 tff(16011,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.57 inference(transitivity,[status(thm)],[16010, 16008])).
% 5.89/4.57 tff(16012,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16013,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 5.89/4.57 tff(16014,plain,
% 5.89/4.57 (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~m_main_v_state2(s196, c_c2))),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16013, 826, 16007])).
% 5.89/4.57 tff(16015,plain,
% 5.89/4.57 (m_main_v_state2(s197, c_n2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16014, 16003, 15948, 15999, 15995, 15991, 15987])).
% 5.89/4.57 tff(16016,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16017,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16018,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16017, 16016])).
% 5.89/4.57 tff(16019,plain,
% 5.89/4.57 (~m_main_v_state2(s197, c_t2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16018, 10, 16015])).
% 5.89/4.57 tff(16020,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16021,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16022,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 5.89/4.57 tff(16023,plain,
% 5.89/4.57 (~node15(s197)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16022, 21, 16019])).
% 5.89/4.57 tff(16024,plain,
% 5.89/4.57 (succ(s197, s198) <=> succ(s197, s198)),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16025,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 5.89/4.57 tff(16026,plain,
% 5.89/4.57 (succ(s197, s198)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 5.89/4.57 tff(16027,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16028,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16029,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 5.89/4.57 tff(16030,plain,
% 5.89/4.57 (trans(s197, s198)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16029, 16026, 57])).
% 5.89/4.57 tff(16031,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16032,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16033,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 5.89/4.57 tff(16034,plain,
% 5.89/4.57 (node18(s197, s198)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16033, 71, 16030])).
% 5.89/4.57 tff(16035,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16036,plain,
% 5.89/4.57 (((~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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16037,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 5.89/4.57 inference(monotonicity,[status(thm)],[16036])).
% 5.89/4.57 tff(16038,plain,
% 5.89/4.57 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.89/4.57 inference(transitivity,[status(thm)],[16037, 16035])).
% 5.89/4.57 tff(16039,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16040,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 5.89/4.57 tff(16041,plain,
% 5.89/4.57 (node15(s197) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16040, 863, 16034])).
% 5.89/4.57 tff(16042,plain,
% 5.89/4.57 (m_main_v_turn(s198, c_1)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16041, 16023, 16015, 15979])).
% 5.89/4.57 tff(16043,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16044,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16045,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 5.89/4.57 tff(16046,plain,
% 5.89/4.57 (~m_main_v_turn(s198, c_2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16045, 322, 16042])).
% 5.89/4.57 tff(16047,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16048,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16049,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16048, 16047])).
% 5.89/4.57 tff(16050,plain,
% 5.89/4.57 (~node12(s198)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16049, 350, 16046])).
% 5.89/4.57 tff(16051,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16052,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16053,plain,
% 5.89/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 5.89/4.57 tff(16054,plain,
% 5.89/4.57 (node14(s197, s198)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16053, 130, 16030])).
% 5.89/4.57 tff(16055,plain,
% 5.89/4.57 (((~![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))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16056,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16057,plain,
% 5.89/4.57 ((~![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)),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 5.89/4.57 tff(16058,plain,
% 5.89/4.57 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state2(s198, c_t2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16057, 893, 16054])).
% 5.89/4.57 tff(16059,plain,
% 5.89/4.57 (m_main_v_state2(s198, c_t2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16058, 15979, 16015])).
% 5.89/4.57 tff(16060,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16061,plain,
% 5.89/4.57 ((~![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)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16062,plain,
% 5.89/4.57 ((~![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))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 5.89/4.57 tff(16063,plain,
% 5.89/4.57 (~m_main_v_state2(s198, c_n2)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16062, 10, 16059])).
% 5.89/4.57 tff(16064,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.57 inference(rewrite,[status(thm)],[])).
% 5.89/4.57 tff(16065,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 5.89/4.57 inference(quant_inst,[status(thm)],[])).
% 5.89/4.57 tff(16066,plain,
% 5.89/4.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198))),
% 5.89/4.57 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 5.89/4.57 tff(16067,plain,
% 5.89/4.57 (~node8(s198)),
% 5.89/4.57 inference(unit_resolution,[status(thm)],[16066, 383, 16063])).
% 5.89/4.57 tff(16068,plain,
% 5.89/4.57 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16069,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16070,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 5.89/4.58 tff(16071,plain,
% 5.89/4.58 (~node9(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16070, 311, 16063])).
% 5.89/4.58 tff(16072,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16073,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16074,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16073, 16072])).
% 5.89/4.58 tff(16075,plain,
% 5.89/4.58 (~node10(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16074, 372, 16063])).
% 5.89/4.58 tff(16076,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16077,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16078,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 5.89/4.58 tff(16079,plain,
% 5.89/4.58 (~m_main_v_state2(s198, c_c2)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16078, 173, 16059])).
% 5.89/4.58 tff(16080,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16081,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16082,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 5.89/4.58 tff(16083,plain,
% 5.89/4.58 (~m_main_v_state2(s197, c_c2)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16082, 716, 16015])).
% 5.89/4.58 tff(16084,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16085,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16086,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 5.89/4.58 tff(16087,plain,
% 5.89/4.58 (~node3(s197)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16086, 184, 16083])).
% 5.89/4.58 tff(16088,plain,
% 5.89/4.58 (((~![V: $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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16089,plain,
% 5.89/4.58 (((~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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16090,plain,
% 5.89/4.58 (((~![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))))),
% 5.89/4.58 inference(monotonicity,[status(thm)],[16089])).
% 5.89/4.58 tff(16091,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(transitivity,[status(thm)],[16090, 16088])).
% 5.89/4.58 tff(16092,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16093,plain,
% 5.89/4.58 ((~![V: $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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 5.89/4.58 tff(16094,plain,
% 5.89/4.58 (~m_main_v_state1(s197, c_n1)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16093, 936, 15887, 15972])).
% 5.89/4.58 tff(16095,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16096,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16097,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 5.89/4.58 tff(16098,plain,
% 5.89/4.58 (~node2(s197)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16097, 652, 16094])).
% 5.89/4.58 tff(16099,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16100,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16101,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 5.89/4.58 tff(16102,plain,
% 5.89/4.58 (~node1(s197)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16101, 206, 16019])).
% 5.89/4.58 tff(16103,plain,
% 5.89/4.58 (((~![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))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16104,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16105,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198)),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 5.89/4.58 tff(16106,plain,
% 5.89/4.58 (node7(s197, s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16105, 217, 16030])).
% 5.89/4.58 tff(16107,plain,
% 5.89/4.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16108,plain,
% 5.89/4.58 (((~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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16109,plain,
% 5.89/4.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.89/4.58 inference(monotonicity,[status(thm)],[16108])).
% 5.89/4.58 tff(16110,plain,
% 5.89/4.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.58 inference(transitivity,[status(thm)],[16109, 16107])).
% 5.89/4.58 tff(16111,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16112,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16111, 16110])).
% 5.89/4.58 tff(16113,plain,
% 5.89/4.58 ((~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)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16112, 965, 16106])).
% 5.89/4.58 tff(16114,plain,
% 5.89/4.58 (m_main_v_state1(s198, c_c1)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16113, 16102, 16015, 15979, 16098, 16087])).
% 5.89/4.58 tff(16115,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16116,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16117,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 5.89/4.58 tff(16118,plain,
% 5.89/4.58 (~m_main_v_state1(s198, c_n1)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16117, 449, 16114])).
% 5.89/4.58 tff(16119,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16120,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16121,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16120, 16119])).
% 5.89/4.58 tff(16122,plain,
% 5.89/4.58 (~node11(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16121, 361, 16118])).
% 5.89/4.58 tff(16123,plain,
% 5.89/4.58 (succ(s198, s199) <=> succ(s198, s199)),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16124,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 5.89/4.58 tff(16125,plain,
% 5.89/4.58 (succ(s198, s199)),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16124, 16123])).
% 5.89/4.58 tff(16126,plain,
% 5.89/4.58 (((~![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))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16127,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16128,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 5.89/4.58 tff(16129,plain,
% 5.89/4.58 (trans(s198, s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16128, 16125, 57])).
% 5.89/4.58 tff(16130,plain,
% 5.89/4.58 (((~![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))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16131,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16132,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199)),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 5.89/4.58 tff(16133,plain,
% 5.89/4.58 (node14(s198, s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16132, 130, 16129])).
% 5.89/4.58 tff(16134,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16135,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16136,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 5.89/4.58 tff(16137,plain,
% 5.89/4.58 (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16136, 401, 16133])).
% 5.89/4.58 tff(16138,plain,
% 5.89/4.58 (node13(s198, s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16137, 16122, 16079, 16075, 16071, 16067, 16050])).
% 5.89/4.58 tff(16139,plain,
% 5.89/4.58 (((~![V: $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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16140,plain,
% 5.89/4.58 (((~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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16141,plain,
% 5.89/4.58 (((~![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))))),
% 5.89/4.58 inference(monotonicity,[status(thm)],[16140])).
% 5.89/4.58 tff(16142,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(transitivity,[status(thm)],[16141, 16139])).
% 5.89/4.58 tff(16143,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16144,plain,
% 5.89/4.58 ((~![V: $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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16143, 16142])).
% 5.89/4.58 tff(16145,plain,
% 5.89/4.58 (~m_main_v_state2(s199, c_n2)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16144, 416, 16063, 16138])).
% 5.89/4.58 tff(16146,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16147,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16148,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 5.89/4.58 tff(16149,plain,
% 5.89/4.58 (~node9(s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16148, 311, 16145])).
% 5.89/4.58 tff(16150,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16151,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16152,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 5.89/4.58 tff(16153,plain,
% 5.89/4.58 (~node10(s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16152, 372, 16145])).
% 5.89/4.58 tff(16154,plain,
% 5.89/4.58 (((~![V: $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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16155,plain,
% 5.89/4.58 (((~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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16156,plain,
% 5.89/4.58 (((~![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))))),
% 5.89/4.58 inference(monotonicity,[status(thm)],[16155])).
% 5.89/4.58 tff(16157,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(transitivity,[status(thm)],[16156, 16154])).
% 5.89/4.58 tff(16158,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16159,plain,
% 5.89/4.58 ((~![V: $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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 5.89/4.58 tff(16160,plain,
% 5.89/4.58 (m_main_v_state2(s199, c_t2)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16159, 563, 16059, 16138])).
% 5.89/4.58 tff(16161,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16162,plain,
% 5.89/4.58 ((~![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)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16163,plain,
% 5.89/4.58 ((~![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))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 5.89/4.58 tff(16164,plain,
% 5.89/4.58 (~m_main_v_state1(s198, c_t1)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16163, 289, 16114])).
% 5.89/4.58 tff(16165,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16166,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16167,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 5.89/4.58 tff(16168,plain,
% 5.89/4.58 (~node5(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16167, 300, 16164])).
% 5.89/4.58 tff(16169,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16170,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16171,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 5.89/4.58 tff(16172,plain,
% 5.89/4.58 (~node4(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16171, 162, 16063])).
% 5.89/4.58 tff(16173,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16174,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16175,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 5.89/4.58 tff(16176,plain,
% 5.89/4.58 (~node3(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16175, 184, 16079])).
% 5.89/4.58 tff(16177,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16178,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16179,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 5.89/4.58 tff(16180,plain,
% 5.89/4.58 (~node2(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16179, 195, 16063])).
% 5.89/4.58 tff(16181,plain,
% 5.89/4.58 (((~![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)))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16182,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16183,plain,
% 5.89/4.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198))),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 5.89/4.58 tff(16184,plain,
% 5.89/4.58 (~node1(s198)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16183, 249, 16118])).
% 5.89/4.58 tff(16185,plain,
% 5.89/4.58 (((~![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))),
% 5.89/4.58 inference(rewrite,[status(thm)],[])).
% 5.89/4.58 tff(16186,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))),
% 5.89/4.58 inference(quant_inst,[status(thm)],[])).
% 5.89/4.58 tff(16187,plain,
% 5.89/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199)),
% 5.89/4.58 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 5.89/4.58 tff(16188,plain,
% 5.89/4.58 (node7(s198, s199)),
% 5.89/4.58 inference(unit_resolution,[status(thm)],[16187, 217, 16129])).
% 5.89/4.58 tff(16189,plain,
% 5.89/4.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16190,plain,
% 5.89/4.59 (((~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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16191,plain,
% 5.89/4.59 (((~![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(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))))),
% 5.89/4.59 inference(monotonicity,[status(thm)],[16190])).
% 5.89/4.59 tff(16192,plain,
% 5.89/4.59 (((~![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(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)))),
% 5.89/4.59 inference(transitivity,[status(thm)],[16191, 16189])).
% 5.89/4.59 tff(16193,plain,
% 5.89/4.59 ((~![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(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16194,plain,
% 5.89/4.59 ((~![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(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 5.89/4.59 tff(16195,plain,
% 5.89/4.59 (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16194, 478, 16188])).
% 5.89/4.59 tff(16196,plain,
% 5.89/4.59 (m_main_v_state1(s199, c_n1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16195, 16184, 16114, 16180, 16176, 16172, 16168])).
% 5.89/4.59 tff(16197,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16198,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16199,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 5.89/4.59 tff(16200,plain,
% 5.89/4.59 (~node8(s199)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16199, 383, 16145])).
% 5.89/4.59 tff(16201,plain,
% 5.89/4.59 (succ(s199, s200) <=> succ(s199, s200)),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16202,axiom,(succ(s199, s200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 5.89/4.59 tff(16203,plain,
% 5.89/4.59 (succ(s199, s200)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 5.89/4.59 tff(16204,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16205,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16206,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16205, 16204])).
% 5.89/4.59 tff(16207,plain,
% 5.89/4.59 (trans(s199, s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16206, 16203, 57])).
% 5.89/4.59 tff(16208,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16209,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16210,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 5.89/4.59 tff(16211,plain,
% 5.89/4.59 (node14(s199, s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16210, 130, 16207])).
% 5.89/4.59 tff(16212,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16213,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16214,plain,
% 5.89/4.59 ((~![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)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 5.89/4.59 tff(16215,plain,
% 5.89/4.59 ((~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)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16214, 704, 16211])).
% 5.89/4.59 tff(16216,plain,
% 5.89/4.59 (m_main_v_state2(s200, c_c2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16215, 16200, 16196, 16160, 16153, 16149])).
% 5.89/4.59 tff(16217,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16218,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16219,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 5.89/4.59 tff(16220,plain,
% 5.89/4.59 (~m_main_v_state2(s200, c_t2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16219, 173, 16216])).
% 5.89/4.59 tff(16221,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16222,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16223,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 5.89/4.59 tff(16224,plain,
% 5.89/4.59 (~node12(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16223, 778, 16220])).
% 5.89/4.59 tff(16225,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16226,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16227,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 5.89/4.59 tff(16228,plain,
% 5.89/4.59 (node7(s199, s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16227, 217, 16207])).
% 5.89/4.59 tff(16229,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16230,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16231,plain,
% 5.89/4.59 ((~![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)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 5.89/4.59 tff(16232,plain,
% 5.89/4.59 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_state1(s200, c_t1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16231, 598, 16228])).
% 5.89/4.59 tff(16233,plain,
% 5.89/4.59 (m_main_v_state1(s200, c_t1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16232, 16160, 16196])).
% 5.89/4.59 tff(16234,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16235,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16236,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16235, 16234])).
% 5.89/4.59 tff(16237,plain,
% 5.89/4.59 (~m_main_v_state1(s200, c_n1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16236, 35, 16233])).
% 5.89/4.59 tff(16238,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16239,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16240,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 5.89/4.59 tff(16241,plain,
% 5.89/4.59 (~node11(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16240, 361, 16237])).
% 5.89/4.59 tff(16242,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16243,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16244,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16243, 16242])).
% 5.89/4.59 tff(16245,plain,
% 5.89/4.59 (~m_main_v_state1(s200, c_c1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16244, 289, 16233])).
% 5.89/4.59 tff(16246,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16247,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16248,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16247, 16246])).
% 5.89/4.59 tff(16249,plain,
% 5.89/4.59 (~node10(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16248, 793, 16245])).
% 5.89/4.59 tff(16250,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16251,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16252,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16251, 16250])).
% 5.89/4.59 tff(16253,plain,
% 5.89/4.59 (~node9(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16252, 804, 16237])).
% 5.89/4.59 tff(16254,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16255,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16256,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 5.89/4.59 tff(16257,plain,
% 5.89/4.59 (~m_main_v_state2(s200, c_n2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16256, 716, 16216])).
% 5.89/4.59 tff(16258,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16259,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16260,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 5.89/4.59 tff(16261,plain,
% 5.89/4.59 (~node8(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16260, 383, 16257])).
% 5.89/4.59 tff(16262,plain,
% 5.89/4.59 (succ(s200, s201) <=> succ(s200, s201)),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16263,axiom,(succ(s200, s201)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 5.89/4.59 tff(16264,plain,
% 5.89/4.59 (succ(s200, s201)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 5.89/4.59 tff(16265,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16266,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16267,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 5.89/4.59 tff(16268,plain,
% 5.89/4.59 (trans(s200, s201)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16267, 16264, 57])).
% 5.89/4.59 tff(16269,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16270,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16271,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 5.89/4.59 tff(16272,plain,
% 5.89/4.59 (node14(s200, s201)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16271, 130, 16268])).
% 5.89/4.59 tff(16273,plain,
% 5.89/4.59 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16274,plain,
% 5.89/4.59 (((~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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16275,plain,
% 5.89/4.59 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 5.89/4.59 inference(monotonicity,[status(thm)],[16274])).
% 5.89/4.59 tff(16276,plain,
% 5.89/4.59 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 5.89/4.59 inference(transitivity,[status(thm)],[16275, 16273])).
% 5.89/4.59 tff(16277,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16278,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 5.89/4.59 tff(16279,plain,
% 5.89/4.59 (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~m_main_v_state2(s200, c_c2))),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16278, 826, 16272])).
% 5.89/4.59 tff(16280,plain,
% 5.89/4.59 (m_main_v_state2(s201, c_n2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16279, 16261, 16216, 16253, 16249, 16241, 16224])).
% 5.89/4.59 tff(16281,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16282,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16283,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 5.89/4.59 tff(16284,plain,
% 5.89/4.59 (~m_main_v_state2(s201, c_c2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16283, 716, 16280])).
% 5.89/4.59 tff(16285,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16286,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16287,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16286, 16285])).
% 5.89/4.59 tff(16288,plain,
% 5.89/4.59 (~node3(s201)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16287, 184, 16284])).
% 5.89/4.59 tff(16289,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16290,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16291,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 5.89/4.59 tff(16292,plain,
% 5.89/4.59 (~node1(s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16291, 249, 16237])).
% 5.89/4.59 tff(16293,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16294,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16295,plain,
% 5.89/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 5.89/4.59 tff(16296,plain,
% 5.89/4.59 (node18(s199, s200)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16295, 71, 16207])).
% 5.89/4.59 tff(16297,plain,
% 5.89/4.59 (((~![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))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16298,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16299,plain,
% 5.89/4.59 ((~![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)),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 5.89/4.59 tff(16300,plain,
% 5.89/4.59 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_turn(s200, c_2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16299, 625, 16296])).
% 5.89/4.59 tff(16301,plain,
% 5.89/4.59 (m_main_v_turn(s200, c_2)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16300, 16160, 16196])).
% 5.89/4.59 tff(16302,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16303,plain,
% 5.89/4.59 ((~![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)))),
% 5.89/4.59 inference(quant_inst,[status(thm)],[])).
% 5.89/4.59 tff(16304,plain,
% 5.89/4.59 ((~![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))),
% 5.89/4.59 inference(modus_ponens,[status(thm)],[16303, 16302])).
% 5.89/4.59 tff(16305,plain,
% 5.89/4.59 (~m_main_v_turn(s200, c_1)),
% 5.89/4.59 inference(unit_resolution,[status(thm)],[16304, 322, 16301])).
% 5.89/4.59 tff(16306,plain,
% 5.89/4.59 (((~![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)))),
% 5.89/4.59 inference(rewrite,[status(thm)],[])).
% 5.89/4.59 tff(16307,plain,
% 5.89/4.59 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16308,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 5.89/4.60 tff(16309,plain,
% 5.89/4.60 (~node5(s200)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16308, 641, 16305])).
% 5.89/4.60 tff(16310,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16311,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16312,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16311, 16310])).
% 5.89/4.60 tff(16313,plain,
% 5.89/4.60 (~node2(s200)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16312, 652, 16237])).
% 5.89/4.60 tff(16314,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16315,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16316,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 5.89/4.60 tff(16317,plain,
% 5.89/4.60 (~node3(s200)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16316, 663, 16237])).
% 5.89/4.60 tff(16318,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16319,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16320,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16319, 16318])).
% 5.89/4.60 tff(16321,plain,
% 5.89/4.60 (~node4(s200)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16320, 162, 16257])).
% 5.89/4.60 tff(16322,plain,
% 5.89/4.60 (((~![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))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16323,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16324,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 5.89/4.60 tff(16325,plain,
% 5.89/4.60 (node7(s200, s201)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16324, 217, 16268])).
% 5.89/4.60 tff(16326,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16327,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16328,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16327, 16326])).
% 5.89/4.60 tff(16329,plain,
% 5.89/4.60 (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16328, 745, 16325])).
% 5.89/4.60 tff(16330,plain,
% 5.89/4.60 (node6(s200, s201)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16329, 16321, 16245, 16317, 16313, 16309, 16292])).
% 5.89/4.60 tff(16331,plain,
% 5.89/4.60 (((~![V: $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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16332,plain,
% 5.89/4.60 (((~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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16333,plain,
% 5.89/4.60 (((~![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))))),
% 5.89/4.60 inference(monotonicity,[status(thm)],[16332])).
% 5.89/4.60 tff(16334,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(transitivity,[status(thm)],[16333, 16331])).
% 5.89/4.60 tff(16335,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16336,plain,
% 5.89/4.60 ((~![V: $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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16335, 16334])).
% 5.89/4.60 tff(16337,plain,
% 5.89/4.60 (~m_main_v_state1(s201, c_n1)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16336, 936, 16237, 16330])).
% 5.89/4.60 tff(16338,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16339,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16340,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16339, 16338])).
% 5.89/4.60 tff(16341,plain,
% 5.89/4.60 (~node2(s201)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16340, 652, 16337])).
% 5.89/4.60 tff(16342,plain,
% 5.89/4.60 (((~![V: $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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16343,plain,
% 5.89/4.60 (((~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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16344,plain,
% 5.89/4.60 (((~![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))))),
% 5.89/4.60 inference(monotonicity,[status(thm)],[16343])).
% 5.89/4.60 tff(16345,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(transitivity,[status(thm)],[16344, 16342])).
% 5.89/4.60 tff(16346,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16347,plain,
% 5.89/4.60 ((~![V: $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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 5.89/4.60 tff(16348,plain,
% 5.89/4.60 (m_main_v_state1(s201, c_t1)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16347, 760, 16233, 16330])).
% 5.89/4.60 tff(16349,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16350,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16351,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16350, 16349])).
% 5.89/4.60 tff(16352,plain,
% 5.89/4.60 (~m_main_v_state2(s201, c_t2)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16351, 10, 16280])).
% 5.89/4.60 tff(16353,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16354,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16355,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16354, 16353])).
% 5.89/4.60 tff(16356,plain,
% 5.89/4.60 (~node1(s201)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16355, 206, 16352])).
% 5.89/4.60 tff(16357,plain,
% 5.89/4.60 (succ(s201, s202) <=> succ(s201, s202)),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16358,axiom,(succ(s201, s202)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
% 5.89/4.60 tff(16359,plain,
% 5.89/4.60 (succ(s201, s202)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 5.89/4.60 tff(16360,plain,
% 5.89/4.60 (((~![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))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16361,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16362,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 5.89/4.60 tff(16363,plain,
% 5.89/4.60 (trans(s201, s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16362, 16359, 57])).
% 5.89/4.60 tff(16364,plain,
% 5.89/4.60 (((~![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))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16365,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16366,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 5.89/4.60 tff(16367,plain,
% 5.89/4.60 (node7(s201, s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16366, 217, 16363])).
% 5.89/4.60 tff(16368,plain,
% 5.89/4.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16369,plain,
% 5.89/4.60 (((~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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16370,plain,
% 5.89/4.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 5.89/4.60 inference(monotonicity,[status(thm)],[16369])).
% 5.89/4.60 tff(16371,plain,
% 5.89/4.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 5.89/4.60 inference(transitivity,[status(thm)],[16370, 16368])).
% 5.89/4.60 tff(16372,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16373,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 5.89/4.60 tff(16374,plain,
% 5.89/4.60 ((~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)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16373, 965, 16367])).
% 5.89/4.60 tff(16375,plain,
% 5.89/4.60 (m_main_v_state1(s202, c_c1)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16374, 16356, 16280, 16348, 16341, 16288])).
% 5.89/4.60 tff(16376,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16377,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16378,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 5.89/4.60 tff(16379,plain,
% 5.89/4.60 (~m_main_v_state1(s202, c_t1)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16378, 289, 16375])).
% 5.89/4.60 tff(16380,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16381,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16382,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 5.89/4.60 tff(16383,plain,
% 5.89/4.60 (~node5(s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16382, 300, 16379])).
% 5.89/4.60 tff(16384,plain,
% 5.89/4.60 (((~![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))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16385,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16386,plain,
% 5.89/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 5.89/4.60 tff(16387,plain,
% 5.89/4.60 (node14(s201, s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16386, 130, 16363])).
% 5.89/4.60 tff(16388,plain,
% 5.89/4.60 (((~![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))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16389,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16390,plain,
% 5.89/4.60 ((~![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)),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 5.89/4.60 tff(16391,plain,
% 5.89/4.60 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state2(s202, c_t2)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16390, 893, 16387])).
% 5.89/4.60 tff(16392,plain,
% 5.89/4.60 (m_main_v_state2(s202, c_t2)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16391, 16348, 16280])).
% 5.89/4.60 tff(16393,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16394,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16395,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 5.89/4.60 tff(16396,plain,
% 5.89/4.60 (~m_main_v_state2(s202, c_n2)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16395, 10, 16392])).
% 5.89/4.60 tff(16397,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16398,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16399,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 5.89/4.60 tff(16400,plain,
% 5.89/4.60 (~node4(s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16399, 162, 16396])).
% 5.89/4.60 tff(16401,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16402,plain,
% 5.89/4.60 ((~![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)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16403,plain,
% 5.89/4.60 ((~![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))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 5.89/4.60 tff(16404,plain,
% 5.89/4.60 (~m_main_v_state2(s202, c_c2)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16403, 173, 16392])).
% 5.89/4.60 tff(16405,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16406,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16407,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16406, 16405])).
% 5.89/4.60 tff(16408,plain,
% 5.89/4.60 (~node3(s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16407, 184, 16404])).
% 5.89/4.60 tff(16409,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.60 inference(rewrite,[status(thm)],[])).
% 5.89/4.60 tff(16410,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 5.89/4.60 inference(quant_inst,[status(thm)],[])).
% 5.89/4.60 tff(16411,plain,
% 5.89/4.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202))),
% 5.89/4.60 inference(modus_ponens,[status(thm)],[16410, 16409])).
% 5.89/4.60 tff(16412,plain,
% 5.89/4.60 (~node2(s202)),
% 5.89/4.60 inference(unit_resolution,[status(thm)],[16411, 195, 16396])).
% 5.89/4.60 tff(16413,plain,
% 5.89/4.60 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16414,plain,
% 5.89/4.61 ((~![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)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16415,plain,
% 5.89/4.61 ((~![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))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 5.89/4.61 tff(16416,plain,
% 5.89/4.61 (~m_main_v_state1(s202, c_n1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16415, 449, 16375])).
% 5.89/4.61 tff(16417,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16418,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16419,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16418, 16417])).
% 5.89/4.61 tff(16420,plain,
% 5.89/4.61 (~node1(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16419, 249, 16416])).
% 5.89/4.61 tff(16421,plain,
% 5.89/4.61 (succ(s202, s203) <=> succ(s202, s203)),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16422,axiom,(succ(s202, s203)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound203')).
% 5.89/4.61 tff(16423,plain,
% 5.89/4.61 (succ(s202, s203)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16422, 16421])).
% 5.89/4.61 tff(16424,plain,
% 5.89/4.61 (((~![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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16425,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16426,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16425, 16424])).
% 5.89/4.61 tff(16427,plain,
% 5.89/4.61 (trans(s202, s203)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16426, 16423, 57])).
% 5.89/4.61 tff(16428,plain,
% 5.89/4.61 (((~![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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16429,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16430,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 5.89/4.61 tff(16431,plain,
% 5.89/4.61 (node7(s202, s203)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16430, 217, 16427])).
% 5.89/4.61 tff(16432,plain,
% 5.89/4.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16433,plain,
% 5.89/4.61 (((~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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16434,plain,
% 5.89/4.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 5.89/4.61 inference(monotonicity,[status(thm)],[16433])).
% 5.89/4.61 tff(16435,plain,
% 5.89/4.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 5.89/4.61 inference(transitivity,[status(thm)],[16434, 16432])).
% 5.89/4.61 tff(16436,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16437,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 5.89/4.61 tff(16438,plain,
% 5.89/4.61 (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16437, 478, 16431])).
% 5.89/4.61 tff(16439,plain,
% 5.89/4.61 (m_main_v_state1(s203, c_n1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16438, 16420, 16375, 16412, 16408, 16400, 16383])).
% 5.89/4.61 tff(16440,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16441,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16442,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16441, 16440])).
% 5.89/4.61 tff(16443,plain,
% 5.89/4.61 (~node15(s201)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16442, 21, 16352])).
% 5.89/4.61 tff(16444,plain,
% 5.89/4.61 (((~![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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16445,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16446,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 5.89/4.61 tff(16447,plain,
% 5.89/4.61 (node18(s201, s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16446, 71, 16363])).
% 5.89/4.61 tff(16448,plain,
% 5.89/4.61 (((~![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(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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16449,plain,
% 5.89/4.61 (((~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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16450,plain,
% 5.89/4.61 (((~![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))) | ((~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)))),
% 5.89/4.61 inference(monotonicity,[status(thm)],[16449])).
% 5.89/4.61 tff(16451,plain,
% 5.89/4.61 (((~![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))) | ((~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))),
% 5.89/4.61 inference(transitivity,[status(thm)],[16450, 16448])).
% 5.89/4.61 tff(16452,plain,
% 5.89/4.61 ((~![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))) | ((~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))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16453,plain,
% 5.89/4.61 ((~![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(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)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 5.89/4.61 tff(16454,plain,
% 5.89/4.61 (node15(s201) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16453, 863, 16447])).
% 5.89/4.61 tff(16455,plain,
% 5.89/4.61 (m_main_v_turn(s202, c_1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16454, 16443, 16280, 16348])).
% 5.89/4.61 tff(16456,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16457,plain,
% 5.89/4.61 ((~![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)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16458,plain,
% 5.89/4.61 ((~![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))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16457, 16456])).
% 5.89/4.61 tff(16459,plain,
% 5.89/4.61 (~m_main_v_turn(s202, c_2)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16458, 322, 16455])).
% 5.89/4.61 tff(16460,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16461,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16462,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 5.89/4.61 tff(16463,plain,
% 5.89/4.61 (~node12(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16462, 350, 16459])).
% 5.89/4.61 tff(16464,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16465,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16466,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 5.89/4.61 tff(16467,plain,
% 5.89/4.61 (~node8(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16466, 383, 16396])).
% 5.89/4.61 tff(16468,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16469,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16470,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 5.89/4.61 tff(16471,plain,
% 5.89/4.61 (~node9(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16470, 311, 16396])).
% 5.89/4.61 tff(16472,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16473,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16474,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 5.89/4.61 tff(16475,plain,
% 5.89/4.61 (~node10(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16474, 372, 16396])).
% 5.89/4.61 tff(16476,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16477,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16478,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16477, 16476])).
% 5.89/4.61 tff(16479,plain,
% 5.89/4.61 (~node11(s202)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16478, 361, 16416])).
% 5.89/4.61 tff(16480,plain,
% 5.89/4.61 (((~![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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16481,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16482,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 5.89/4.61 tff(16483,plain,
% 5.89/4.61 (node14(s202, s203)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16482, 130, 16427])).
% 5.89/4.61 tff(16484,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16485,plain,
% 5.89/4.61 ((~![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)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16486,plain,
% 5.89/4.61 ((~![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))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16485, 16484])).
% 5.89/4.61 tff(16487,plain,
% 5.89/4.61 (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16486, 401, 16483])).
% 5.89/4.61 tff(16488,plain,
% 5.89/4.61 (node13(s202, s203)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16487, 16479, 16404, 16475, 16471, 16467, 16463])).
% 5.89/4.61 tff(16489,plain,
% 5.89/4.61 (((~![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(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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16490,plain,
% 5.89/4.61 (((~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)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16491,plain,
% 5.89/4.61 (((~![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))))),
% 5.89/4.61 inference(monotonicity,[status(thm)],[16490])).
% 5.89/4.61 tff(16492,plain,
% 5.89/4.61 (((~![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)))),
% 5.89/4.61 inference(transitivity,[status(thm)],[16491, 16489])).
% 5.89/4.61 tff(16493,plain,
% 5.89/4.61 ((~![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))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16494,plain,
% 5.89/4.61 ((~![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(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16493, 16492])).
% 5.89/4.61 tff(16495,plain,
% 5.89/4.61 (m_main_v_state2(s203, c_t2)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16494, 563, 16392, 16488])).
% 5.89/4.61 tff(16496,plain,
% 5.89/4.61 (succ(s203, s204) <=> succ(s203, s204)),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16497,axiom,(succ(s203, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound204')).
% 5.89/4.61 tff(16498,plain,
% 5.89/4.61 (succ(s203, s204)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 5.89/4.61 tff(16499,plain,
% 5.89/4.61 (((~![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))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16500,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16501,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 5.89/4.61 tff(16502,plain,
% 5.89/4.61 (trans(s203, s204)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16501, 16498, 57])).
% 5.89/4.61 tff(16503,plain,
% 5.89/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s203, s204)) | node7(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s203, s204)) | node7(s203, s204))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16504,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s203, s204)) | node7(s203, s204))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16505,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s203, s204)) | node7(s203, s204)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 5.89/4.61 tff(16506,plain,
% 5.89/4.61 (node7(s203, s204)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16505, 217, 16502])).
% 5.89/4.61 tff(16507,plain,
% 5.89/4.61 (((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, 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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16508,plain,
% 5.89/4.61 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16509,plain,
% 5.89/4.61 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node7(s203, s204)) | m_main_v_state1(s204, c_t1)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 5.89/4.61 tff(16510,plain,
% 5.89/4.61 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_state1(s204, c_t1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16509, 598, 16506])).
% 5.89/4.61 tff(16511,plain,
% 5.89/4.61 (m_main_v_state1(s204, c_t1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16510, 16495, 16439])).
% 5.89/4.61 tff(16512,plain,
% 5.89/4.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16513,plain,
% 5.89/4.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16514,plain,
% 5.89/4.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s204, c_n1)) | (~m_main_v_state1(s204, c_t1))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16513, 16512])).
% 5.89/4.61 tff(16515,plain,
% 5.89/4.61 (~m_main_v_state1(s204, c_n1)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16514, 35, 16511])).
% 5.89/4.61 tff(16516,plain,
% 5.89/4.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s204, c_n1) | (~node1(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s204, c_n1) | (~node1(s204)))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16517,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s204, c_n1) | (~node1(s204)))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16518,plain,
% 5.89/4.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s204, c_n1) | (~node1(s204))),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16517, 16516])).
% 5.89/4.61 tff(16519,plain,
% 5.89/4.61 (~node1(s204)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16518, 249, 16515])).
% 5.89/4.61 tff(16520,plain,
% 5.89/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s203, s204)) | node18(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s203, s204)) | node18(s203, s204))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16521,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s203, s204)) | node18(s203, s204))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16522,plain,
% 5.89/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s203, s204)) | node18(s203, s204)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 5.89/4.61 tff(16523,plain,
% 5.89/4.61 (node18(s203, s204)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16522, 71, 16502])).
% 5.89/4.61 tff(16524,plain,
% 5.89/4.61 (((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, 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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))),
% 5.89/4.61 inference(rewrite,[status(thm)],[])).
% 5.89/4.61 tff(16525,plain,
% 5.89/4.61 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2))),
% 5.89/4.61 inference(quant_inst,[status(thm)],[])).
% 5.89/4.61 tff(16526,plain,
% 5.89/4.61 ((~![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(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | (~node18(s203, s204)) | m_main_v_turn(s204, c_2)),
% 5.89/4.61 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 5.89/4.61 tff(16527,plain,
% 5.89/4.61 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | m_main_v_turn(s204, c_2)),
% 5.89/4.61 inference(unit_resolution,[status(thm)],[16526, 625, 16523])).
% 5.89/4.62 tff(16528,plain,
% 5.89/4.62 (m_main_v_turn(s204, c_2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16527, 16495, 16439])).
% 5.89/4.62 tff(16529,plain,
% 5.89/4.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16530,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16531,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s204, c_1)) | (~m_main_v_turn(s204, c_2))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16530, 16529])).
% 5.89/4.62 tff(16532,plain,
% 5.89/4.62 (~m_main_v_turn(s204, c_1)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16531, 322, 16528])).
% 5.89/4.62 tff(16533,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s204, c_1) | (~node5(s204)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s204, c_1) | (~node5(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16534,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s204, c_1) | (~node5(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16535,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s204, c_1) | (~node5(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16534, 16533])).
% 5.89/4.62 tff(16536,plain,
% 5.89/4.62 (~node5(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16535, 641, 16532])).
% 5.89/4.62 tff(16537,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s204, c_n1) | (~node2(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s204, c_n1) | (~node2(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16538,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s204, c_n1) | (~node2(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16539,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s204, c_n1) | (~node2(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 5.89/4.62 tff(16540,plain,
% 5.89/4.62 (~node2(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16539, 652, 16515])).
% 5.89/4.62 tff(16541,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s204, c_n1) | (~node3(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s204, c_n1) | (~node3(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16542,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s204, c_n1) | (~node3(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16543,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s204, c_n1) | (~node3(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 5.89/4.62 tff(16544,plain,
% 5.89/4.62 (~node3(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16543, 663, 16515])).
% 5.89/4.62 tff(16545,plain,
% 5.89/4.62 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16546,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16547,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s204, c_t1)) | (~m_main_v_state1(s204, c_c1))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16546, 16545])).
% 5.89/4.62 tff(16548,plain,
% 5.89/4.62 (~m_main_v_state1(s204, c_c1)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16547, 289, 16511])).
% 5.89/4.62 tff(16549,plain,
% 5.89/4.62 (((~![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(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)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16550,plain,
% 5.89/4.62 (((~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)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16551,plain,
% 5.89/4.62 (((~![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))))),
% 5.89/4.62 inference(monotonicity,[status(thm)],[16550])).
% 5.89/4.62 tff(16552,plain,
% 5.89/4.62 (((~![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)))),
% 5.89/4.62 inference(transitivity,[status(thm)],[16551, 16549])).
% 5.89/4.62 tff(16553,plain,
% 5.89/4.62 ((~![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)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16554,plain,
% 5.89/4.62 ((~![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(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 5.89/4.62 tff(16555,plain,
% 5.89/4.62 (~m_main_v_state2(s203, c_n2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16554, 416, 16396, 16488])).
% 5.89/4.62 tff(16556,plain,
% 5.89/4.62 (((~![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)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16557,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16558,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16557, 16556])).
% 5.89/4.62 tff(16559,plain,
% 5.89/4.62 (~node9(s203)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16558, 311, 16555])).
% 5.89/4.62 tff(16560,plain,
% 5.89/4.62 (((~![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)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16561,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16562,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 5.89/4.62 tff(16563,plain,
% 5.89/4.62 (~node10(s203)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16562, 372, 16555])).
% 5.89/4.62 tff(16564,plain,
% 5.89/4.62 (((~![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)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16565,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16566,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16565, 16564])).
% 5.89/4.62 tff(16567,plain,
% 5.89/4.62 (~node8(s203)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16566, 383, 16555])).
% 5.89/4.62 tff(16568,plain,
% 5.89/4.62 (((~![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))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16569,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16570,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 5.89/4.62 tff(16571,plain,
% 5.89/4.62 (node14(s203, s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16570, 130, 16502])).
% 5.89/4.62 tff(16572,plain,
% 5.89/4.62 (((~![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))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16573,plain,
% 5.89/4.62 ((~![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))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16574,plain,
% 5.89/4.62 ((~![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)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16573, 16572])).
% 5.89/4.62 tff(16575,plain,
% 5.89/4.62 ((~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)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16574, 704, 16571])).
% 5.89/4.62 tff(16576,plain,
% 5.89/4.62 (m_main_v_state2(s204, c_c2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16575, 16567, 16439, 16495, 16563, 16559])).
% 5.89/4.62 tff(16577,plain,
% 5.89/4.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16578,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16579,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_n2)) | (~m_main_v_state2(s204, c_c2))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 5.89/4.62 tff(16580,plain,
% 5.89/4.62 (~m_main_v_state2(s204, c_n2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16579, 716, 16576])).
% 5.89/4.62 tff(16581,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s204, c_n2) | (~node4(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s204, c_n2) | (~node4(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16582,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s204, c_n2) | (~node4(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16583,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s204, c_n2) | (~node4(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16582, 16581])).
% 5.89/4.62 tff(16584,plain,
% 5.89/4.62 (~node4(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16583, 162, 16580])).
% 5.89/4.62 tff(16585,plain,
% 5.89/4.62 (succ(s204, s205) <=> succ(s204, s205)),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16586,axiom,(succ(s204, s205)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound205')).
% 5.89/4.62 tff(16587,plain,
% 5.89/4.62 (succ(s204, s205)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16586, 16585])).
% 5.89/4.62 tff(16588,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16589,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16590,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16589, 16588])).
% 5.89/4.62 tff(16591,plain,
% 5.89/4.62 (trans(s204, s205)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16590, 16587, 57])).
% 5.89/4.62 tff(16592,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s204, s205)) | node7(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s204, s205)) | node7(s204, s205))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16593,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s204, s205)) | node7(s204, s205))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16594,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s204, s205)) | node7(s204, s205)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 5.89/4.62 tff(16595,plain,
% 5.89/4.62 (node7(s204, s205)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16594, 217, 16591])).
% 5.89/4.62 tff(16596,plain,
% 5.89/4.62 (((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))) <=> ((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16597,plain,
% 5.89/4.62 ((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16598,plain,
% 5.89/4.62 ((~![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(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205) | (~node7(s204, s205))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 5.89/4.62 tff(16599,plain,
% 5.89/4.62 (m_main_v_state1(s204, c_c1) | node1(s204) | node2(s204) | node3(s204) | node4(s204) | node5(s204) | node6(s204, s205)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16598, 745, 16595])).
% 5.89/4.62 tff(16600,plain,
% 5.89/4.62 (node6(s204, s205)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16599, 16584, 16548, 16544, 16540, 16536, 16519])).
% 5.89/4.62 tff(16601,plain,
% 5.89/4.62 (((~![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(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16602,plain,
% 5.89/4.62 (((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1)) <=> ((~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16603,plain,
% 5.89/4.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, 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(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205))))),
% 5.89/4.62 inference(monotonicity,[status(thm)],[16602])).
% 5.89/4.62 tff(16604,plain,
% 5.89/4.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, 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(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205)))),
% 5.89/4.62 inference(transitivity,[status(thm)],[16603, 16601])).
% 5.89/4.62 tff(16605,plain,
% 5.89/4.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s204, s205)) | (~m_main_v_state1(s204, c_t1)) | m_main_v_state1(s205, c_t1))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16606,plain,
% 5.89/4.62 ((~![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(s204, c_t1)) | m_main_v_state1(s205, c_t1) | (~node6(s204, s205))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 5.89/4.62 tff(16607,plain,
% 5.89/4.62 (m_main_v_state1(s205, c_t1)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16606, 760, 16511, 16600])).
% 5.89/4.62 tff(16608,plain,
% 5.89/4.62 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16609,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16610,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s204, c_t2)) | (~m_main_v_state2(s204, c_c2))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 5.89/4.62 tff(16611,plain,
% 5.89/4.62 (~m_main_v_state2(s204, c_t2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16610, 173, 16576])).
% 5.89/4.62 tff(16612,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s204, c_t2) | (~node12(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s204, c_t2) | (~node12(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16613,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s204, c_t2) | (~node12(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16614,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s204, c_t2) | (~node12(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16613, 16612])).
% 5.89/4.62 tff(16615,plain,
% 5.89/4.62 (~node12(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16614, 778, 16611])).
% 5.89/4.62 tff(16616,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s204, c_n1) | (~node11(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s204, c_n1) | (~node11(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16617,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s204, c_n1) | (~node11(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16618,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s204, c_n1) | (~node11(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 5.89/4.62 tff(16619,plain,
% 5.89/4.62 (~node11(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16618, 361, 16515])).
% 5.89/4.62 tff(16620,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s204, c_c1) | (~node10(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s204, c_c1) | (~node10(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16621,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s204, c_c1) | (~node10(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16622,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s204, c_c1) | (~node10(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16621, 16620])).
% 5.89/4.62 tff(16623,plain,
% 5.89/4.62 (~node10(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16622, 793, 16548])).
% 5.89/4.62 tff(16624,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s204, c_n1) | (~node9(s204)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s204, c_n1) | (~node9(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16625,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s204, c_n1) | (~node9(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16626,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s204, c_n1) | (~node9(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 5.89/4.62 tff(16627,plain,
% 5.89/4.62 (~node9(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16626, 804, 16515])).
% 5.89/4.62 tff(16628,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s204, c_n2) | (~node8(s204)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s204, c_n2) | (~node8(s204)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16629,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s204, c_n2) | (~node8(s204)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16630,plain,
% 5.89/4.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s204, c_n2) | (~node8(s204))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 5.89/4.62 tff(16631,plain,
% 5.89/4.62 (~node8(s204)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16630, 383, 16580])).
% 5.89/4.62 tff(16632,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s204, s205)) | node14(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s204, s205)) | node14(s204, s205))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16633,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s204, s205)) | node14(s204, s205))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16634,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s204, s205)) | node14(s204, s205)),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 5.89/4.62 tff(16635,plain,
% 5.89/4.62 (node14(s204, s205)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16634, 130, 16591])).
% 5.89/4.62 tff(16636,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, 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(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16637,plain,
% 5.89/4.62 (((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2)) <=> (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16638,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, 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(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2))))),
% 5.89/4.62 inference(monotonicity,[status(thm)],[16637])).
% 5.89/4.62 tff(16639,plain,
% 5.89/4.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, 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(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2)))),
% 5.89/4.62 inference(transitivity,[status(thm)],[16638, 16636])).
% 5.89/4.62 tff(16640,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s204, c_c2)) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | m_main_v_state2(s205, c_n2))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16641,plain,
% 5.89/4.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~node14(s204, s205)) | (~m_main_v_state2(s204, c_c2))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16640, 16639])).
% 5.89/4.62 tff(16642,plain,
% 5.89/4.62 (m_main_v_state2(s205, c_n2) | node9(s204) | node8(s204) | node10(s204) | node11(s204) | node12(s204) | (~m_main_v_state2(s204, c_c2))),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16641, 826, 16635])).
% 5.89/4.62 tff(16643,plain,
% 5.89/4.62 (m_main_v_state2(s205, c_n2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16642, 16631, 16576, 16627, 16623, 16619, 16615])).
% 5.89/4.62 tff(16644,plain,
% 5.89/4.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))),
% 5.89/4.62 inference(rewrite,[status(thm)],[])).
% 5.89/4.62 tff(16645,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2)))),
% 5.89/4.62 inference(quant_inst,[status(thm)],[])).
% 5.89/4.62 tff(16646,plain,
% 5.89/4.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_t2))),
% 5.89/4.62 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 5.89/4.62 tff(16647,plain,
% 5.89/4.62 (~m_main_v_state2(s205, c_t2)),
% 5.89/4.62 inference(unit_resolution,[status(thm)],[16646, 10, 16643])).
% 5.89/4.62 tff(16648,plain,
% 5.89/4.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s205, c_t2) | (~node15(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s205, c_t2) | (~node15(s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16649,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s205, c_t2) | (~node15(s205)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16650,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s205, c_t2) | (~node15(s205))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 5.99/4.63 tff(16651,plain,
% 5.99/4.63 (~node15(s205)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16650, 21, 16647])).
% 5.99/4.63 tff(16652,plain,
% 5.99/4.63 (succ(s205, s206) <=> succ(s205, s206)),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16653,axiom,(succ(s205, s206)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound206')).
% 5.99/4.63 tff(16654,plain,
% 5.99/4.63 (succ(s205, s206)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 5.99/4.63 tff(16655,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16656,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16657,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16656, 16655])).
% 5.99/4.63 tff(16658,plain,
% 5.99/4.63 (trans(s205, s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16657, 16654, 57])).
% 5.99/4.63 tff(16659,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s205, s206)) | node18(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s205, s206)) | node18(s205, s206))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16660,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s205, s206)) | node18(s205, s206))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16661,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s205, s206)) | node18(s205, s206)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 5.99/4.63 tff(16662,plain,
% 5.99/4.63 (node18(s205, s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16661, 71, 16658])).
% 5.99/4.63 tff(16663,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_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(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, 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(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16664,plain,
% 5.99/4.63 (((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1)) <=> (node15(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16665,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, 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(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)))),
% 5.99/4.63 inference(monotonicity,[status(thm)],[16664])).
% 5.99/4.63 tff(16666,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, 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(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1))),
% 5.99/4.63 inference(transitivity,[status(thm)],[16665, 16663])).
% 5.99/4.63 tff(16667,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~m_main_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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node15(s205) | (~node18(s205, s206)) | m_main_v_turn(s206, c_1))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16668,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~m_main_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(s205) | (~node18(s205, s206)) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 5.99/4.63 tff(16669,plain,
% 5.99/4.63 (node15(s205) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_turn(s206, c_1)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16668, 863, 16662])).
% 5.99/4.63 tff(16670,plain,
% 5.99/4.63 (m_main_v_turn(s206, c_1)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16669, 16651, 16643, 16607])).
% 5.99/4.63 tff(16671,plain,
% 5.99/4.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16672,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16673,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s206, c_1)) | (~m_main_v_turn(s206, c_2))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 5.99/4.63 tff(16674,plain,
% 5.99/4.63 (~m_main_v_turn(s206, c_2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16673, 322, 16670])).
% 5.99/4.63 tff(16675,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s206, c_2) | (~node12(s206)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s206, c_2) | (~node12(s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16676,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s206, c_2) | (~node12(s206)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16677,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s206, c_2) | (~node12(s206))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 5.99/4.63 tff(16678,plain,
% 5.99/4.63 (~node12(s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16677, 350, 16674])).
% 5.99/4.63 tff(16679,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s205, s206)) | node14(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s205, s206)) | node14(s205, s206))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16680,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s205, s206)) | node14(s205, s206))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16681,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s205, s206)) | node14(s205, s206)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 5.99/4.63 tff(16682,plain,
% 5.99/4.63 (node14(s205, s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16681, 130, 16658])).
% 5.99/4.63 tff(16683,plain,
% 5.99/4.63 (((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, 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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16684,plain,
% 5.99/4.63 ((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16685,plain,
% 5.99/4.63 ((~![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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | (~node14(s205, s206)) | m_main_v_state2(s206, c_t2)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16684, 16683])).
% 5.99/4.63 tff(16686,plain,
% 5.99/4.63 ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state2(s206, c_t2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16685, 893, 16682])).
% 5.99/4.63 tff(16687,plain,
% 5.99/4.63 (m_main_v_state2(s206, c_t2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16686, 16607, 16643])).
% 5.99/4.63 tff(16688,plain,
% 5.99/4.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16689,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16690,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s206, c_n2)) | (~m_main_v_state2(s206, c_t2))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 5.99/4.63 tff(16691,plain,
% 5.99/4.63 (~m_main_v_state2(s206, c_n2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16690, 10, 16687])).
% 5.99/4.63 tff(16692,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s206, c_n2) | (~node8(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s206, c_n2) | (~node8(s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16693,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s206, c_n2) | (~node8(s206)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16694,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s206, c_n2) | (~node8(s206))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16693, 16692])).
% 5.99/4.63 tff(16695,plain,
% 5.99/4.63 (~node8(s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16694, 383, 16691])).
% 5.99/4.63 tff(16696,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s206, c_n2) | (~node9(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s206, c_n2) | (~node9(s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16697,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s206, c_n2) | (~node9(s206)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16698,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s206, c_n2) | (~node9(s206))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16697, 16696])).
% 5.99/4.63 tff(16699,plain,
% 5.99/4.63 (~node9(s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16698, 311, 16691])).
% 5.99/4.63 tff(16700,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s206, c_n2) | (~node10(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s206, c_n2) | (~node10(s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16701,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s206, c_n2) | (~node10(s206)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16702,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s206, c_n2) | (~node10(s206))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16701, 16700])).
% 5.99/4.63 tff(16703,plain,
% 5.99/4.63 (~node10(s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16702, 372, 16691])).
% 5.99/4.63 tff(16704,plain,
% 5.99/4.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16705,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16706,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s206, c_t2)) | (~m_main_v_state2(s206, c_c2))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 5.99/4.63 tff(16707,plain,
% 5.99/4.63 (~m_main_v_state2(s206, c_c2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16706, 173, 16687])).
% 5.99/4.63 tff(16708,plain,
% 5.99/4.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16709,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16710,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s205, c_n2)) | (~m_main_v_state2(s205, c_c2))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16709, 16708])).
% 5.99/4.63 tff(16711,plain,
% 5.99/4.63 (~m_main_v_state2(s205, c_c2)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16710, 716, 16643])).
% 5.99/4.63 tff(16712,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s205, c_c2) | (~node3(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s205, c_c2) | (~node3(s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16713,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s205, c_c2) | (~node3(s205)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16714,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s205, c_c2) | (~node3(s205))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16713, 16712])).
% 5.99/4.63 tff(16715,plain,
% 5.99/4.63 (~node3(s205)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16714, 184, 16711])).
% 5.99/4.63 tff(16716,plain,
% 5.99/4.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16717,plain,
% 5.99/4.63 (((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1))) <=> (m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16718,plain,
% 5.99/4.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, 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(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205))))),
% 5.99/4.63 inference(monotonicity,[status(thm)],[16717])).
% 5.99/4.63 tff(16719,plain,
% 5.99/4.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, 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(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205)))),
% 5.99/4.63 inference(transitivity,[status(thm)],[16718, 16716])).
% 5.99/4.63 tff(16720,plain,
% 5.99/4.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s204, s205)) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16721,plain,
% 5.99/4.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s204, c_n1) | (~m_main_v_state1(s205, c_n1)) | (~node6(s204, s205))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 5.99/4.63 tff(16722,plain,
% 5.99/4.63 (~m_main_v_state1(s205, c_n1)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16721, 936, 16515, 16600])).
% 5.99/4.63 tff(16723,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s205, c_n1) | (~node2(s205)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s205, c_n1) | (~node2(s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16724,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s205, c_n1) | (~node2(s205)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16725,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s205, c_n1) | (~node2(s205))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 5.99/4.63 tff(16726,plain,
% 5.99/4.63 (~node2(s205)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16725, 652, 16722])).
% 5.99/4.63 tff(16727,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s205, c_t2) | (~node1(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s205, c_t2) | (~node1(s205)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16728,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s205, c_t2) | (~node1(s205)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16729,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s205, c_t2) | (~node1(s205))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 5.99/4.63 tff(16730,plain,
% 5.99/4.63 (~node1(s205)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16729, 206, 16647])).
% 5.99/4.63 tff(16731,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s205, s206)) | node7(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s205, s206)) | node7(s205, s206))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16732,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s205, s206)) | node7(s205, s206))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16733,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s205, s206)) | node7(s205, s206)),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 5.99/4.63 tff(16734,plain,
% 5.99/4.63 (node7(s205, s206)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16733, 217, 16658])).
% 5.99/4.63 tff(16735,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16736,plain,
% 5.99/4.63 (((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1)) <=> ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16737,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, 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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206))))),
% 5.99/4.63 inference(monotonicity,[status(thm)],[16736])).
% 5.99/4.63 tff(16738,plain,
% 5.99/4.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, 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(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)))),
% 5.99/4.63 inference(transitivity,[status(thm)],[16737, 16735])).
% 5.99/4.63 tff(16739,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206)) | m_main_v_state1(s206, c_c1))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16740,plain,
% 5.99/4.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205) | (~node7(s205, s206))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 5.99/4.63 tff(16741,plain,
% 5.99/4.63 ((~m_main_v_state1(s205, c_t1)) | (~m_main_v_state2(s205, c_n2)) | m_main_v_state1(s206, c_c1) | node1(s205) | node2(s205) | node3(s205)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16740, 965, 16734])).
% 5.99/4.63 tff(16742,plain,
% 5.99/4.63 (m_main_v_state1(s206, c_c1)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16741, 16730, 16643, 16607, 16726, 16715])).
% 5.99/4.63 tff(16743,plain,
% 5.99/4.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16744,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1)))),
% 5.99/4.63 inference(quant_inst,[status(thm)],[])).
% 5.99/4.63 tff(16745,plain,
% 5.99/4.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_n1)) | (~m_main_v_state1(s206, c_c1))),
% 5.99/4.63 inference(modus_ponens,[status(thm)],[16744, 16743])).
% 5.99/4.63 tff(16746,plain,
% 5.99/4.63 (~m_main_v_state1(s206, c_n1)),
% 5.99/4.63 inference(unit_resolution,[status(thm)],[16745, 449, 16742])).
% 5.99/4.63 tff(16747,plain,
% 5.99/4.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s206, c_n1) | (~node11(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s206, c_n1) | (~node11(s206)))),
% 5.99/4.63 inference(rewrite,[status(thm)],[])).
% 5.99/4.63 tff(16748,plain,
% 5.99/4.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s206, c_n1) | (~node11(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16749,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s206, c_n1) | (~node11(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 5.99/4.64 tff(16750,plain,
% 5.99/4.64 (~node11(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16749, 361, 16746])).
% 5.99/4.64 tff(16751,plain,
% 5.99/4.64 (succ(s206, s207) <=> succ(s206, s207)),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16752,axiom,(succ(s206, s207)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound207')).
% 5.99/4.64 tff(16753,plain,
% 5.99/4.64 (succ(s206, s207)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16752, 16751])).
% 5.99/4.64 tff(16754,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16755,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16756,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16755, 16754])).
% 5.99/4.64 tff(16757,plain,
% 5.99/4.64 (trans(s206, s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16756, 16753, 57])).
% 5.99/4.64 tff(16758,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s206, s207)) | node14(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s206, s207)) | node14(s206, s207))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16759,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s206, s207)) | node14(s206, s207))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16760,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s206, s207)) | node14(s206, s207)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 5.99/4.64 tff(16761,plain,
% 5.99/4.64 (node14(s206, s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16760, 130, 16757])).
% 5.99/4.64 tff(16762,plain,
% 5.99/4.64 (((~![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(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))) <=> ((~![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(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16763,plain,
% 5.99/4.64 ((~![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(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16764,plain,
% 5.99/4.64 ((~![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(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207) | (~node14(s206, s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 5.99/4.64 tff(16765,plain,
% 5.99/4.64 (m_main_v_state2(s206, c_c2) | node9(s206) | node8(s206) | node10(s206) | node11(s206) | node12(s206) | node13(s206, s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16764, 401, 16761])).
% 5.99/4.64 tff(16766,plain,
% 5.99/4.64 (node13(s206, s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16765, 16750, 16707, 16703, 16699, 16695, 16678])).
% 5.99/4.64 tff(16767,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16768,plain,
% 5.99/4.64 (((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2))) <=> (m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16769,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, 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(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207))))),
% 5.99/4.64 inference(monotonicity,[status(thm)],[16768])).
% 5.99/4.64 tff(16770,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, 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(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207)))),
% 5.99/4.64 inference(transitivity,[status(thm)],[16769, 16767])).
% 5.99/4.64 tff(16771,plain,
% 5.99/4.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s206, s207)) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16772,plain,
% 5.99/4.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s206, c_n2) | (~m_main_v_state2(s207, c_n2)) | (~node13(s206, s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 5.99/4.64 tff(16773,plain,
% 5.99/4.64 (~m_main_v_state2(s207, c_n2)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16772, 416, 16691, 16766])).
% 5.99/4.64 tff(16774,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s207, c_n2) | (~node9(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s207, c_n2) | (~node9(s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16775,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s207, c_n2) | (~node9(s207)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16776,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s207, c_n2) | (~node9(s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 5.99/4.64 tff(16777,plain,
% 5.99/4.64 (~node9(s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16776, 311, 16773])).
% 5.99/4.64 tff(16778,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s207, c_n2) | (~node10(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s207, c_n2) | (~node10(s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16779,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s207, c_n2) | (~node10(s207)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16780,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s207, c_n2) | (~node10(s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 5.99/4.64 tff(16781,plain,
% 5.99/4.64 (~node10(s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16780, 372, 16773])).
% 5.99/4.64 tff(16782,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16783,plain,
% 5.99/4.64 (((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2)) <=> ((~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16784,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, 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(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207))))),
% 5.99/4.64 inference(monotonicity,[status(thm)],[16783])).
% 5.99/4.64 tff(16785,plain,
% 5.99/4.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, 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(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207)))),
% 5.99/4.64 inference(transitivity,[status(thm)],[16784, 16782])).
% 5.99/4.64 tff(16786,plain,
% 5.99/4.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s206, s207)) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16787,plain,
% 5.99/4.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s206, c_t2)) | m_main_v_state2(s207, c_t2) | (~node13(s206, s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 5.99/4.64 tff(16788,plain,
% 5.99/4.64 (m_main_v_state2(s207, c_t2)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16787, 563, 16687, 16766])).
% 5.99/4.64 tff(16789,plain,
% 5.99/4.64 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16790,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16791,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s206, c_t1)) | (~m_main_v_state1(s206, c_c1))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 5.99/4.64 tff(16792,plain,
% 5.99/4.64 (~m_main_v_state1(s206, c_t1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16791, 289, 16742])).
% 5.99/4.64 tff(16793,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s206, c_t1) | (~node5(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s206, c_t1) | (~node5(s206)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16794,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s206, c_t1) | (~node5(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16795,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s206, c_t1) | (~node5(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 5.99/4.64 tff(16796,plain,
% 5.99/4.64 (~node5(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16795, 300, 16792])).
% 5.99/4.64 tff(16797,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s206, c_n2) | (~node4(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s206, c_n2) | (~node4(s206)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16798,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s206, c_n2) | (~node4(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16799,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s206, c_n2) | (~node4(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 5.99/4.64 tff(16800,plain,
% 5.99/4.64 (~node4(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16799, 162, 16691])).
% 5.99/4.64 tff(16801,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s206, c_c2) | (~node3(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s206, c_c2) | (~node3(s206)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16802,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s206, c_c2) | (~node3(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16803,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s206, c_c2) | (~node3(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16802, 16801])).
% 5.99/4.64 tff(16804,plain,
% 5.99/4.64 (~node3(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16803, 184, 16707])).
% 5.99/4.64 tff(16805,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s206, c_n2) | (~node2(s206)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s206, c_n2) | (~node2(s206)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16806,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s206, c_n2) | (~node2(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16807,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s206, c_n2) | (~node2(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 5.99/4.64 tff(16808,plain,
% 5.99/4.64 (~node2(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16807, 195, 16691])).
% 5.99/4.64 tff(16809,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s206, c_n1) | (~node1(s206)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s206, c_n1) | (~node1(s206)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16810,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s206, c_n1) | (~node1(s206)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16811,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s206, c_n1) | (~node1(s206))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 5.99/4.64 tff(16812,plain,
% 5.99/4.64 (~node1(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16811, 249, 16746])).
% 5.99/4.64 tff(16813,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s206, s207)) | node7(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s206, s207)) | node7(s206, s207))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16814,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s206, s207)) | node7(s206, s207))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16815,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s206, s207)) | node7(s206, s207)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 5.99/4.64 tff(16816,plain,
% 5.99/4.64 (node7(s206, s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16815, 217, 16757])).
% 5.99/4.64 tff(16817,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16818,plain,
% 5.99/4.64 (((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1)) <=> (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16819,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, 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(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207))))),
% 5.99/4.64 inference(monotonicity,[status(thm)],[16818])).
% 5.99/4.64 tff(16820,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, 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(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)))),
% 5.99/4.64 inference(transitivity,[status(thm)],[16819, 16817])).
% 5.99/4.64 tff(16821,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207)) | m_main_v_state1(s207, c_n1))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16822,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206) | (~node7(s206, s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 5.99/4.64 tff(16823,plain,
% 5.99/4.64 (m_main_v_state1(s207, c_n1) | (~m_main_v_state1(s206, c_c1)) | node1(s206) | node2(s206) | node3(s206) | node4(s206) | node5(s206)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16822, 478, 16816])).
% 5.99/4.64 tff(16824,plain,
% 5.99/4.64 (m_main_v_state1(s207, c_n1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16823, 16812, 16742, 16808, 16804, 16800, 16796])).
% 5.99/4.64 tff(16825,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s207, c_n2) | (~node8(s207)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s207, c_n2) | (~node8(s207)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16826,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s207, c_n2) | (~node8(s207)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16827,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s207, c_n2) | (~node8(s207))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 5.99/4.64 tff(16828,plain,
% 5.99/4.64 (~node8(s207)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16827, 383, 16773])).
% 5.99/4.64 tff(16829,plain,
% 5.99/4.64 (succ(s207, s208) <=> succ(s207, s208)),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16830,axiom,(succ(s207, s208)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound208')).
% 5.99/4.64 tff(16831,plain,
% 5.99/4.64 (succ(s207, s208)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16830, 16829])).
% 5.99/4.64 tff(16832,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16833,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16834,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16833, 16832])).
% 5.99/4.64 tff(16835,plain,
% 5.99/4.64 (trans(s207, s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16834, 16831, 57])).
% 5.99/4.64 tff(16836,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s207, s208)) | node14(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s207, s208)) | node14(s207, s208))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16837,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s207, s208)) | node14(s207, s208))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16838,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s207, s208)) | node14(s207, s208)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 5.99/4.64 tff(16839,plain,
% 5.99/4.64 (node14(s207, s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16838, 130, 16835])).
% 5.99/4.64 tff(16840,plain,
% 5.99/4.64 (((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, 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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16841,plain,
% 5.99/4.64 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16842,plain,
% 5.99/4.64 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | (~node14(s207, s208)) | m_main_v_state2(s208, c_c2)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 5.99/4.64 tff(16843,plain,
% 5.99/4.64 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | node9(s207) | node8(s207) | node10(s207) | m_main_v_state2(s208, c_c2)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16842, 704, 16839])).
% 5.99/4.64 tff(16844,plain,
% 5.99/4.64 (m_main_v_state2(s208, c_c2)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16843, 16828, 16824, 16788, 16781, 16777])).
% 5.99/4.64 tff(16845,plain,
% 5.99/4.64 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16846,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16847,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_t2)) | (~m_main_v_state2(s208, c_c2))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16846, 16845])).
% 5.99/4.64 tff(16848,plain,
% 5.99/4.64 (~m_main_v_state2(s208, c_t2)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16847, 173, 16844])).
% 5.99/4.64 tff(16849,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s208, c_t2) | (~node12(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s208, c_t2) | (~node12(s208)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16850,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s208, c_t2) | (~node12(s208)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16851,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s208, c_t2) | (~node12(s208))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 5.99/4.64 tff(16852,plain,
% 5.99/4.64 (~node12(s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16851, 778, 16848])).
% 5.99/4.64 tff(16853,plain,
% 5.99/4.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s207, s208)) | node7(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s207, s208)) | node7(s207, s208))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16854,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s207, s208)) | node7(s207, s208))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16855,plain,
% 5.99/4.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s207, s208)) | node7(s207, s208)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16854, 16853])).
% 5.99/4.64 tff(16856,plain,
% 5.99/4.64 (node7(s207, s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16855, 217, 16835])).
% 5.99/4.64 tff(16857,plain,
% 5.99/4.64 (((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, 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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16858,plain,
% 5.99/4.64 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16859,plain,
% 5.99/4.64 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node7(s207, s208)) | m_main_v_state1(s208, c_t1)),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 5.99/4.64 tff(16860,plain,
% 5.99/4.64 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_state1(s208, c_t1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16859, 598, 16856])).
% 5.99/4.64 tff(16861,plain,
% 5.99/4.64 (m_main_v_state1(s208, c_t1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16860, 16788, 16824])).
% 5.99/4.64 tff(16862,plain,
% 5.99/4.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16863,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16864,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s208, c_n1)) | (~m_main_v_state1(s208, c_t1))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 5.99/4.64 tff(16865,plain,
% 5.99/4.64 (~m_main_v_state1(s208, c_n1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16864, 35, 16861])).
% 5.99/4.64 tff(16866,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s208, c_n1) | (~node11(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s208, c_n1) | (~node11(s208)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16867,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s208, c_n1) | (~node11(s208)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16868,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s208, c_n1) | (~node11(s208))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16867, 16866])).
% 5.99/4.64 tff(16869,plain,
% 5.99/4.64 (~node11(s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16868, 361, 16865])).
% 5.99/4.64 tff(16870,plain,
% 5.99/4.64 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16871,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16872,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s208, c_t1)) | (~m_main_v_state1(s208, c_c1))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16871, 16870])).
% 5.99/4.64 tff(16873,plain,
% 5.99/4.64 (~m_main_v_state1(s208, c_c1)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16872, 289, 16861])).
% 5.99/4.64 tff(16874,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s208, c_c1) | (~node10(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s208, c_c1) | (~node10(s208)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16875,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s208, c_c1) | (~node10(s208)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16876,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s208, c_c1) | (~node10(s208))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 5.99/4.64 tff(16877,plain,
% 5.99/4.64 (~node10(s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16876, 793, 16873])).
% 5.99/4.64 tff(16878,plain,
% 5.99/4.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s208, c_n1) | (~node9(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s208, c_n1) | (~node9(s208)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16879,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s208, c_n1) | (~node9(s208)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16880,plain,
% 5.99/4.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s208, c_n1) | (~node9(s208))),
% 5.99/4.64 inference(modus_ponens,[status(thm)],[16879, 16878])).
% 5.99/4.64 tff(16881,plain,
% 5.99/4.64 (~node9(s208)),
% 5.99/4.64 inference(unit_resolution,[status(thm)],[16880, 804, 16865])).
% 5.99/4.64 tff(16882,plain,
% 5.99/4.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.64 inference(rewrite,[status(thm)],[])).
% 5.99/4.64 tff(16883,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.64 inference(quant_inst,[status(thm)],[])).
% 5.99/4.64 tff(16884,plain,
% 5.99/4.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s208, c_n2)) | (~m_main_v_state2(s208, c_c2))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16883, 16882])).
% 5.99/4.65 tff(16885,plain,
% 5.99/4.65 (~m_main_v_state2(s208, c_n2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16884, 716, 16844])).
% 5.99/4.65 tff(16886,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s208, c_n2) | (~node8(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s208, c_n2) | (~node8(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16887,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s208, c_n2) | (~node8(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16888,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s208, c_n2) | (~node8(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16887, 16886])).
% 5.99/4.65 tff(16889,plain,
% 5.99/4.65 (~node8(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16888, 383, 16885])).
% 5.99/4.65 tff(16890,plain,
% 5.99/4.65 (succ(s208, s209) <=> succ(s208, s209)),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16891,axiom,(succ(s208, s209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound209')).
% 5.99/4.65 tff(16892,plain,
% 5.99/4.65 (succ(s208, s209)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16891, 16890])).
% 5.99/4.65 tff(16893,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16894,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16895,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 5.99/4.65 tff(16896,plain,
% 5.99/4.65 (trans(s208, s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16895, 16892, 57])).
% 5.99/4.65 tff(16897,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s208, s209)) | node14(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s208, s209)) | node14(s208, s209))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16898,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s208, s209)) | node14(s208, s209))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16899,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s208, s209)) | node14(s208, s209)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 5.99/4.65 tff(16900,plain,
% 5.99/4.65 (node14(s208, s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16899, 130, 16896])).
% 5.99/4.65 tff(16901,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, 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(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16902,plain,
% 5.99/4.65 (((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2)) <=> (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16903,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, 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(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2))))),
% 5.99/4.65 inference(monotonicity,[status(thm)],[16902])).
% 5.99/4.65 tff(16904,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, 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(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2)))),
% 5.99/4.65 inference(transitivity,[status(thm)],[16903, 16901])).
% 5.99/4.65 tff(16905,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s208, c_c2)) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | m_main_v_state2(s209, c_n2))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16906,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~node14(s208, s209)) | (~m_main_v_state2(s208, c_c2))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 5.99/4.65 tff(16907,plain,
% 5.99/4.65 (m_main_v_state2(s209, c_n2) | node9(s208) | node8(s208) | node10(s208) | node11(s208) | node12(s208) | (~m_main_v_state2(s208, c_c2))),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16906, 826, 16900])).
% 5.99/4.65 tff(16908,plain,
% 5.99/4.65 (m_main_v_state2(s209, c_n2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16907, 16889, 16844, 16881, 16877, 16869, 16852])).
% 5.99/4.65 tff(16909,plain,
% 5.99/4.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16910,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16911,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_c2))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 5.99/4.65 tff(16912,plain,
% 5.99/4.65 (~m_main_v_state2(s209, c_c2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16911, 716, 16908])).
% 5.99/4.65 tff(16913,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s209, c_c2) | (~node3(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s209, c_c2) | (~node3(s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16914,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s209, c_c2) | (~node3(s209)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16915,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s209, c_c2) | (~node3(s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 5.99/4.65 tff(16916,plain,
% 5.99/4.65 (~node3(s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16915, 184, 16912])).
% 5.99/4.65 tff(16917,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s208, c_n1) | (~node1(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s208, c_n1) | (~node1(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16918,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s208, c_n1) | (~node1(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16919,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s208, c_n1) | (~node1(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 5.99/4.65 tff(16920,plain,
% 5.99/4.65 (~node1(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16919, 249, 16865])).
% 5.99/4.65 tff(16921,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s207, s208)) | node18(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s207, s208)) | node18(s207, s208))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16922,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s207, s208)) | node18(s207, s208))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16923,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s207, s208)) | node18(s207, s208)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 5.99/4.65 tff(16924,plain,
% 5.99/4.65 (node18(s207, s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16923, 71, 16835])).
% 5.99/4.65 tff(16925,plain,
% 5.99/4.65 (((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, 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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16926,plain,
% 5.99/4.65 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16927,plain,
% 5.99/4.65 ((~![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(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | (~node18(s207, s208)) | m_main_v_turn(s208, c_2)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16926, 16925])).
% 5.99/4.65 tff(16928,plain,
% 5.99/4.65 ((~m_main_v_state1(s207, c_n1)) | (~m_main_v_state2(s207, c_t2)) | m_main_v_turn(s208, c_2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16927, 625, 16924])).
% 5.99/4.65 tff(16929,plain,
% 5.99/4.65 (m_main_v_turn(s208, c_2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16928, 16788, 16824])).
% 5.99/4.65 tff(16930,plain,
% 5.99/4.65 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16931,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16932,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s208, c_1)) | (~m_main_v_turn(s208, c_2))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 5.99/4.65 tff(16933,plain,
% 5.99/4.65 (~m_main_v_turn(s208, c_1)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16932, 322, 16929])).
% 5.99/4.65 tff(16934,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s208, c_1) | (~node5(s208)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s208, c_1) | (~node5(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16935,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s208, c_1) | (~node5(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16936,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s208, c_1) | (~node5(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 5.99/4.65 tff(16937,plain,
% 5.99/4.65 (~node5(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16936, 641, 16933])).
% 5.99/4.65 tff(16938,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s208, c_n1) | (~node2(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s208, c_n1) | (~node2(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16939,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s208, c_n1) | (~node2(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16940,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s208, c_n1) | (~node2(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16939, 16938])).
% 5.99/4.65 tff(16941,plain,
% 5.99/4.65 (~node2(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16940, 652, 16865])).
% 5.99/4.65 tff(16942,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s208, c_n1) | (~node3(s208)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s208, c_n1) | (~node3(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16943,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s208, c_n1) | (~node3(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16944,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s208, c_n1) | (~node3(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16943, 16942])).
% 5.99/4.65 tff(16945,plain,
% 5.99/4.65 (~node3(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16944, 663, 16865])).
% 5.99/4.65 tff(16946,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s208, c_n2) | (~node4(s208)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s208, c_n2) | (~node4(s208)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16947,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s208, c_n2) | (~node4(s208)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16948,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s208, c_n2) | (~node4(s208))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16947, 16946])).
% 5.99/4.65 tff(16949,plain,
% 5.99/4.65 (~node4(s208)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16948, 162, 16885])).
% 5.99/4.65 tff(16950,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s208, s209)) | node7(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s208, s209)) | node7(s208, s209))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16951,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s208, s209)) | node7(s208, s209))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16952,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s208, s209)) | node7(s208, s209)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 5.99/4.65 tff(16953,plain,
% 5.99/4.65 (node7(s208, s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16952, 217, 16896])).
% 5.99/4.65 tff(16954,plain,
% 5.99/4.65 (((~![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(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))) <=> ((~![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(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16955,plain,
% 5.99/4.65 ((~![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(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16956,plain,
% 5.99/4.65 ((~![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(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209) | (~node7(s208, s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16955, 16954])).
% 5.99/4.65 tff(16957,plain,
% 5.99/4.65 (m_main_v_state1(s208, c_c1) | node1(s208) | node2(s208) | node3(s208) | node4(s208) | node5(s208) | node6(s208, s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16956, 745, 16953])).
% 5.99/4.65 tff(16958,plain,
% 5.99/4.65 (node6(s208, s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16957, 16949, 16873, 16945, 16941, 16937, 16920])).
% 5.99/4.65 tff(16959,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16960,plain,
% 5.99/4.65 (((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1))) <=> (m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16961,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, 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(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209))))),
% 5.99/4.65 inference(monotonicity,[status(thm)],[16960])).
% 5.99/4.65 tff(16962,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, 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(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209)))),
% 5.99/4.65 inference(transitivity,[status(thm)],[16961, 16959])).
% 5.99/4.65 tff(16963,plain,
% 5.99/4.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s208, s209)) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16964,plain,
% 5.99/4.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s208, c_n1) | (~m_main_v_state1(s209, c_n1)) | (~node6(s208, s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16963, 16962])).
% 5.99/4.65 tff(16965,plain,
% 5.99/4.65 (~m_main_v_state1(s209, c_n1)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16964, 936, 16865, 16958])).
% 5.99/4.65 tff(16966,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s209, c_n1) | (~node2(s209)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s209, c_n1) | (~node2(s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16967,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s209, c_n1) | (~node2(s209)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16968,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s209, c_n1) | (~node2(s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 5.99/4.65 tff(16969,plain,
% 5.99/4.65 (~node2(s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16968, 652, 16965])).
% 5.99/4.65 tff(16970,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16971,plain,
% 5.99/4.65 (((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1)) <=> ((~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16972,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, 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(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209))))),
% 5.99/4.65 inference(monotonicity,[status(thm)],[16971])).
% 5.99/4.65 tff(16973,plain,
% 5.99/4.65 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, 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(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209)))),
% 5.99/4.65 inference(transitivity,[status(thm)],[16972, 16970])).
% 5.99/4.65 tff(16974,plain,
% 5.99/4.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s208, s209)) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16975,plain,
% 5.99/4.65 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s208, c_t1)) | m_main_v_state1(s209, c_t1) | (~node6(s208, s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 5.99/4.65 tff(16976,plain,
% 5.99/4.65 (m_main_v_state1(s209, c_t1)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16975, 760, 16861, 16958])).
% 5.99/4.65 tff(16977,plain,
% 5.99/4.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16978,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16979,plain,
% 5.99/4.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s209, c_n2)) | (~m_main_v_state2(s209, c_t2))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 5.99/4.65 tff(16980,plain,
% 5.99/4.65 (~m_main_v_state2(s209, c_t2)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16979, 10, 16908])).
% 5.99/4.65 tff(16981,plain,
% 5.99/4.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s209, c_t2) | (~node1(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s209, c_t2) | (~node1(s209)))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16982,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s209, c_t2) | (~node1(s209)))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16983,plain,
% 5.99/4.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s209, c_t2) | (~node1(s209))),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 5.99/4.65 tff(16984,plain,
% 5.99/4.65 (~node1(s209)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16983, 206, 16980])).
% 5.99/4.65 tff(16985,plain,
% 5.99/4.65 (succ(s209, s210) <=> succ(s209, s210)),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16986,axiom,(succ(s209, s210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound210')).
% 5.99/4.65 tff(16987,plain,
% 5.99/4.65 (succ(s209, s210)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 5.99/4.65 tff(16988,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16989,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.65 tff(16990,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 5.99/4.65 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 5.99/4.65 tff(16991,plain,
% 5.99/4.65 (trans(s209, s210)),
% 5.99/4.65 inference(unit_resolution,[status(thm)],[16990, 16987, 57])).
% 5.99/4.65 tff(16992,plain,
% 5.99/4.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s209, s210)) | node7(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s209, s210)) | node7(s209, s210))),
% 5.99/4.65 inference(rewrite,[status(thm)],[])).
% 5.99/4.65 tff(16993,plain,
% 5.99/4.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s209, s210)) | node7(s209, s210))),
% 5.99/4.65 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(16994,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s209, s210)) | node7(s209, s210)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 5.99/4.66 tff(16995,plain,
% 5.99/4.66 (node7(s209, s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[16994, 217, 16991])).
% 5.99/4.66 tff(16996,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(16997,plain,
% 5.99/4.66 (((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1)) <=> ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(16998,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, 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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210))))),
% 5.99/4.66 inference(monotonicity,[status(thm)],[16997])).
% 5.99/4.66 tff(16999,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, 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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)))),
% 5.99/4.66 inference(transitivity,[status(thm)],[16998, 16996])).
% 5.99/4.66 tff(17000,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210)) | m_main_v_state1(s210, c_c1))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17001,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209) | (~node7(s209, s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 5.99/4.66 tff(17002,plain,
% 5.99/4.66 ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state1(s210, c_c1) | node1(s209) | node2(s209) | node3(s209)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17001, 965, 16995])).
% 5.99/4.66 tff(17003,plain,
% 5.99/4.66 (m_main_v_state1(s210, c_c1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17002, 16984, 16908, 16976, 16969, 16916])).
% 5.99/4.66 tff(17004,plain,
% 5.99/4.66 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17005,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17006,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_t1)) | (~m_main_v_state1(s210, c_c1))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17005, 17004])).
% 5.99/4.66 tff(17007,plain,
% 5.99/4.66 (~m_main_v_state1(s210, c_t1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17006, 289, 17003])).
% 5.99/4.66 tff(17008,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s210, c_t1) | (~node5(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s210, c_t1) | (~node5(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17009,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s210, c_t1) | (~node5(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17010,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s210, c_t1) | (~node5(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 5.99/4.66 tff(17011,plain,
% 5.99/4.66 (~node5(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17010, 300, 17007])).
% 5.99/4.66 tff(17012,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s209, s210)) | node14(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s209, s210)) | node14(s209, s210))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17013,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s209, s210)) | node14(s209, s210))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17014,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s209, s210)) | node14(s209, s210)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17013, 17012])).
% 5.99/4.66 tff(17015,plain,
% 5.99/4.66 (node14(s209, s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17014, 130, 16991])).
% 5.99/4.66 tff(17016,plain,
% 5.99/4.66 (((~![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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, 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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17017,plain,
% 5.99/4.66 ((~![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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17018,plain,
% 5.99/4.66 ((~![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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | (~node14(s209, s210)) | m_main_v_state2(s210, c_t2)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 5.99/4.66 tff(17019,plain,
% 5.99/4.66 ((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_state2(s210, c_t2)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17018, 893, 17015])).
% 5.99/4.66 tff(17020,plain,
% 5.99/4.66 (m_main_v_state2(s210, c_t2)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17019, 16976, 16908])).
% 5.99/4.66 tff(17021,plain,
% 5.99/4.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17022,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17023,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s210, c_n2)) | (~m_main_v_state2(s210, c_t2))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 5.99/4.66 tff(17024,plain,
% 5.99/4.66 (~m_main_v_state2(s210, c_n2)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17023, 10, 17020])).
% 5.99/4.66 tff(17025,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s210, c_n2) | (~node4(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s210, c_n2) | (~node4(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17026,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s210, c_n2) | (~node4(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17027,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s210, c_n2) | (~node4(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 5.99/4.66 tff(17028,plain,
% 5.99/4.66 (~node4(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17027, 162, 17024])).
% 5.99/4.66 tff(17029,plain,
% 5.99/4.66 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17030,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17031,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s210, c_t2)) | (~m_main_v_state2(s210, c_c2))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 5.99/4.66 tff(17032,plain,
% 5.99/4.66 (~m_main_v_state2(s210, c_c2)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17031, 173, 17020])).
% 5.99/4.66 tff(17033,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s210, c_c2) | (~node3(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s210, c_c2) | (~node3(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17034,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s210, c_c2) | (~node3(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17035,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s210, c_c2) | (~node3(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17034, 17033])).
% 5.99/4.66 tff(17036,plain,
% 5.99/4.66 (~node3(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17035, 184, 17032])).
% 5.99/4.66 tff(17037,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s210, c_n2) | (~node2(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s210, c_n2) | (~node2(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17038,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s210, c_n2) | (~node2(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17039,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s210, c_n2) | (~node2(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 5.99/4.66 tff(17040,plain,
% 5.99/4.66 (~node2(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17039, 195, 17024])).
% 5.99/4.66 tff(17041,plain,
% 5.99/4.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17042,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17043,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s210, c_n1)) | (~m_main_v_state1(s210, c_c1))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 5.99/4.66 tff(17044,plain,
% 5.99/4.66 (~m_main_v_state1(s210, c_n1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17043, 449, 17003])).
% 5.99/4.66 tff(17045,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s210, c_n1) | (~node1(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s210, c_n1) | (~node1(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17046,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s210, c_n1) | (~node1(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17047,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s210, c_n1) | (~node1(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17046, 17045])).
% 5.99/4.66 tff(17048,plain,
% 5.99/4.66 (~node1(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17047, 249, 17044])).
% 5.99/4.66 tff(17049,plain,
% 5.99/4.66 (succ(s210, s211) <=> succ(s210, s211)),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17050,axiom,(succ(s210, s211)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound211')).
% 5.99/4.66 tff(17051,plain,
% 5.99/4.66 (succ(s210, s211)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 5.99/4.66 tff(17052,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17053,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17054,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 5.99/4.66 tff(17055,plain,
% 5.99/4.66 (trans(s210, s211)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17054, 17051, 57])).
% 5.99/4.66 tff(17056,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s210, s211)) | node7(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s210, s211)) | node7(s210, s211))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17057,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s210, s211)) | node7(s210, s211))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17058,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s210, s211)) | node7(s210, s211)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17057, 17056])).
% 5.99/4.66 tff(17059,plain,
% 5.99/4.66 (node7(s210, s211)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17058, 217, 17055])).
% 5.99/4.66 tff(17060,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17061,plain,
% 5.99/4.66 (((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1)) <=> (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17062,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, 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(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211))))),
% 5.99/4.66 inference(monotonicity,[status(thm)],[17061])).
% 5.99/4.66 tff(17063,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, 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(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)))),
% 5.99/4.66 inference(transitivity,[status(thm)],[17062, 17060])).
% 5.99/4.66 tff(17064,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211)) | m_main_v_state1(s211, c_n1))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17065,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210) | (~node7(s210, s211))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17064, 17063])).
% 5.99/4.66 tff(17066,plain,
% 5.99/4.66 (m_main_v_state1(s211, c_n1) | (~m_main_v_state1(s210, c_c1)) | node1(s210) | node2(s210) | node3(s210) | node4(s210) | node5(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17065, 478, 17059])).
% 5.99/4.66 tff(17067,plain,
% 5.99/4.66 (m_main_v_state1(s211, c_n1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17066, 17048, 17003, 17040, 17036, 17028, 17011])).
% 5.99/4.66 tff(17068,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s209, c_t2) | (~node15(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s209, c_t2) | (~node15(s209)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17069,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s209, c_t2) | (~node15(s209)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17070,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s209, c_t2) | (~node15(s209))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17069, 17068])).
% 5.99/4.66 tff(17071,plain,
% 5.99/4.66 (~node15(s209)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17070, 21, 16980])).
% 5.99/4.66 tff(17072,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s209, s210)) | node18(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s209, s210)) | node18(s209, s210))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17073,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s209, s210)) | node18(s209, s210))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17074,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s209, s210)) | node18(s209, s210)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17073, 17072])).
% 5.99/4.66 tff(17075,plain,
% 5.99/4.66 (node18(s209, s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17074, 71, 16991])).
% 5.99/4.66 tff(17076,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_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(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, 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(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17077,plain,
% 5.99/4.66 (((~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1)) <=> (node15(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17078,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, 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(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)))),
% 5.99/4.66 inference(monotonicity,[status(thm)],[17077])).
% 5.99/4.66 tff(17079,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~m_main_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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, 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(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1))),
% 5.99/4.66 inference(transitivity,[status(thm)],[17078, 17076])).
% 5.99/4.66 tff(17080,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_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(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | node15(s209) | (~node18(s209, s210)) | m_main_v_turn(s210, c_1))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17081,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~m_main_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(s209) | (~node18(s209, s210)) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17080, 17079])).
% 5.99/4.66 tff(17082,plain,
% 5.99/4.66 (node15(s209) | (~m_main_v_state1(s209, c_t1)) | (~m_main_v_state2(s209, c_n2)) | m_main_v_turn(s210, c_1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17081, 863, 17075])).
% 5.99/4.66 tff(17083,plain,
% 5.99/4.66 (m_main_v_turn(s210, c_1)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17082, 17071, 16908, 16976])).
% 5.99/4.66 tff(17084,plain,
% 5.99/4.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17085,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17086,plain,
% 5.99/4.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s210, c_1)) | (~m_main_v_turn(s210, c_2))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 5.99/4.66 tff(17087,plain,
% 5.99/4.66 (~m_main_v_turn(s210, c_2)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17086, 322, 17083])).
% 5.99/4.66 tff(17088,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s210, c_2) | (~node12(s210)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s210, c_2) | (~node12(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17089,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s210, c_2) | (~node12(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17090,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s210, c_2) | (~node12(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 5.99/4.66 tff(17091,plain,
% 5.99/4.66 (~node12(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17090, 350, 17087])).
% 5.99/4.66 tff(17092,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s210, c_n2) | (~node8(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s210, c_n2) | (~node8(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17093,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s210, c_n2) | (~node8(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17094,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s210, c_n2) | (~node8(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 5.99/4.66 tff(17095,plain,
% 5.99/4.66 (~node8(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17094, 383, 17024])).
% 5.99/4.66 tff(17096,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s210, c_n2) | (~node9(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s210, c_n2) | (~node9(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17097,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s210, c_n2) | (~node9(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17098,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s210, c_n2) | (~node9(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17097, 17096])).
% 5.99/4.66 tff(17099,plain,
% 5.99/4.66 (~node9(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17098, 311, 17024])).
% 5.99/4.66 tff(17100,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s210, c_n2) | (~node10(s210)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s210, c_n2) | (~node10(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17101,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s210, c_n2) | (~node10(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17102,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s210, c_n2) | (~node10(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17101, 17100])).
% 5.99/4.66 tff(17103,plain,
% 5.99/4.66 (~node10(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17102, 372, 17024])).
% 5.99/4.66 tff(17104,plain,
% 5.99/4.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s210, c_n1) | (~node11(s210)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s210, c_n1) | (~node11(s210)))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17105,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s210, c_n1) | (~node11(s210)))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17106,plain,
% 5.99/4.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s210, c_n1) | (~node11(s210))),
% 5.99/4.66 inference(modus_ponens,[status(thm)],[17105, 17104])).
% 5.99/4.66 tff(17107,plain,
% 5.99/4.66 (~node11(s210)),
% 5.99/4.66 inference(unit_resolution,[status(thm)],[17106, 361, 17044])).
% 5.99/4.66 tff(17108,plain,
% 5.99/4.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s210, s211)) | node14(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s210, s211)) | node14(s210, s211))),
% 5.99/4.66 inference(rewrite,[status(thm)],[])).
% 5.99/4.66 tff(17109,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s210, s211)) | node14(s210, s211))),
% 5.99/4.66 inference(quant_inst,[status(thm)],[])).
% 5.99/4.66 tff(17110,plain,
% 5.99/4.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s210, s211)) | node14(s210, s211)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 5.99/4.67 tff(17111,plain,
% 5.99/4.67 (node14(s210, s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17110, 130, 17055])).
% 5.99/4.67 tff(17112,plain,
% 5.99/4.67 (((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))) <=> ((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17113,plain,
% 5.99/4.67 ((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17114,plain,
% 5.99/4.67 ((~![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(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211) | (~node14(s210, s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 5.99/4.67 tff(17115,plain,
% 5.99/4.67 (m_main_v_state2(s210, c_c2) | node9(s210) | node8(s210) | node10(s210) | node11(s210) | node12(s210) | node13(s210, s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17114, 401, 17111])).
% 5.99/4.67 tff(17116,plain,
% 5.99/4.67 (node13(s210, s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17115, 17107, 17032, 17103, 17099, 17095, 17091])).
% 5.99/4.67 tff(17117,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17118,plain,
% 5.99/4.67 (((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2)) <=> ((~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17119,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, 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(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211))))),
% 5.99/4.67 inference(monotonicity,[status(thm)],[17118])).
% 5.99/4.67 tff(17120,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, 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(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211)))),
% 5.99/4.67 inference(transitivity,[status(thm)],[17119, 17117])).
% 5.99/4.67 tff(17121,plain,
% 5.99/4.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s210, s211)) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17122,plain,
% 5.99/4.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s210, c_t2)) | m_main_v_state2(s211, c_t2) | (~node13(s210, s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17121, 17120])).
% 5.99/4.67 tff(17123,plain,
% 5.99/4.67 (m_main_v_state2(s211, c_t2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17122, 563, 17020, 17116])).
% 5.99/4.67 tff(17124,plain,
% 5.99/4.67 (succ(s211, s212) <=> succ(s211, s212)),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17125,axiom,(succ(s211, s212)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound212')).
% 5.99/4.67 tff(17126,plain,
% 5.99/4.67 (succ(s211, s212)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17125, 17124])).
% 5.99/4.67 tff(17127,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17128,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17129,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 5.99/4.67 tff(17130,plain,
% 5.99/4.67 (trans(s211, s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17129, 17126, 57])).
% 5.99/4.67 tff(17131,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s211, s212)) | node7(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s211, s212)) | node7(s211, s212))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17132,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s211, s212)) | node7(s211, s212))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17133,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s211, s212)) | node7(s211, s212)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 5.99/4.67 tff(17134,plain,
% 5.99/4.67 (node7(s211, s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17133, 217, 17130])).
% 5.99/4.67 tff(17135,plain,
% 5.99/4.67 (((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, 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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17136,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17137,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node7(s211, s212)) | m_main_v_state1(s212, c_t1)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 5.99/4.67 tff(17138,plain,
% 5.99/4.67 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_state1(s212, c_t1)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17137, 598, 17134])).
% 5.99/4.67 tff(17139,plain,
% 5.99/4.67 (m_main_v_state1(s212, c_t1)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17138, 17123, 17067])).
% 5.99/4.67 tff(17140,plain,
% 5.99/4.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17141,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17142,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s212, c_n1)) | (~m_main_v_state1(s212, c_t1))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 5.99/4.67 tff(17143,plain,
% 5.99/4.67 (~m_main_v_state1(s212, c_n1)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17142, 35, 17139])).
% 5.99/4.67 tff(17144,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s212, c_n1) | (~node1(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s212, c_n1) | (~node1(s212)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17145,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s212, c_n1) | (~node1(s212)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17146,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s212, c_n1) | (~node1(s212))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 5.99/4.67 tff(17147,plain,
% 5.99/4.67 (~node1(s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17146, 249, 17143])).
% 5.99/4.67 tff(17148,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s211, s212)) | node18(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s211, s212)) | node18(s211, s212))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17149,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s211, s212)) | node18(s211, s212))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17150,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s211, s212)) | node18(s211, s212)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 5.99/4.67 tff(17151,plain,
% 5.99/4.67 (node18(s211, s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17150, 71, 17130])).
% 5.99/4.67 tff(17152,plain,
% 5.99/4.67 (((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, 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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17153,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17154,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | (~node18(s211, s212)) | m_main_v_turn(s212, c_2)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 5.99/4.67 tff(17155,plain,
% 5.99/4.67 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | m_main_v_turn(s212, c_2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17154, 625, 17151])).
% 5.99/4.67 tff(17156,plain,
% 5.99/4.67 (m_main_v_turn(s212, c_2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17155, 17123, 17067])).
% 5.99/4.67 tff(17157,plain,
% 5.99/4.67 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17158,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17159,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s212, c_1)) | (~m_main_v_turn(s212, c_2))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 5.99/4.67 tff(17160,plain,
% 5.99/4.67 (~m_main_v_turn(s212, c_1)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17159, 322, 17156])).
% 5.99/4.67 tff(17161,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s212, c_1) | (~node5(s212)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s212, c_1) | (~node5(s212)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17162,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s212, c_1) | (~node5(s212)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17163,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s212, c_1) | (~node5(s212))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 5.99/4.67 tff(17164,plain,
% 5.99/4.67 (~node5(s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17163, 641, 17160])).
% 5.99/4.67 tff(17165,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s212, c_n1) | (~node2(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s212, c_n1) | (~node2(s212)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17166,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s212, c_n1) | (~node2(s212)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17167,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s212, c_n1) | (~node2(s212))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17166, 17165])).
% 5.99/4.67 tff(17168,plain,
% 5.99/4.67 (~node2(s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17167, 652, 17143])).
% 5.99/4.67 tff(17169,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s212, c_n1) | (~node3(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s212, c_n1) | (~node3(s212)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17170,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s212, c_n1) | (~node3(s212)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17171,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s212, c_n1) | (~node3(s212))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 5.99/4.67 tff(17172,plain,
% 5.99/4.67 (~node3(s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17171, 663, 17143])).
% 5.99/4.67 tff(17173,plain,
% 5.99/4.67 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17174,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17175,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s212, c_t1)) | (~m_main_v_state1(s212, c_c1))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 5.99/4.67 tff(17176,plain,
% 5.99/4.67 (~m_main_v_state1(s212, c_c1)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17175, 289, 17139])).
% 5.99/4.67 tff(17177,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17178,plain,
% 5.99/4.67 (((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2))) <=> (m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17179,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, 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(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211))))),
% 5.99/4.67 inference(monotonicity,[status(thm)],[17178])).
% 5.99/4.67 tff(17180,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, 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(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211)))),
% 5.99/4.67 inference(transitivity,[status(thm)],[17179, 17177])).
% 5.99/4.67 tff(17181,plain,
% 5.99/4.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s210, s211)) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17182,plain,
% 5.99/4.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s210, c_n2) | (~m_main_v_state2(s211, c_n2)) | (~node13(s210, s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17181, 17180])).
% 5.99/4.67 tff(17183,plain,
% 5.99/4.67 (~m_main_v_state2(s211, c_n2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17182, 416, 17024, 17116])).
% 5.99/4.67 tff(17184,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s211, c_n2) | (~node9(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s211, c_n2) | (~node9(s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17185,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s211, c_n2) | (~node9(s211)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17186,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s211, c_n2) | (~node9(s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 5.99/4.67 tff(17187,plain,
% 5.99/4.67 (~node9(s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17186, 311, 17183])).
% 5.99/4.67 tff(17188,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s211, c_n2) | (~node10(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s211, c_n2) | (~node10(s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17189,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s211, c_n2) | (~node10(s211)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17190,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s211, c_n2) | (~node10(s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 5.99/4.67 tff(17191,plain,
% 5.99/4.67 (~node10(s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17190, 372, 17183])).
% 5.99/4.67 tff(17192,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s211, c_n2) | (~node8(s211)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s211, c_n2) | (~node8(s211)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17193,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s211, c_n2) | (~node8(s211)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17194,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s211, c_n2) | (~node8(s211))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 5.99/4.67 tff(17195,plain,
% 5.99/4.67 (~node8(s211)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17194, 383, 17183])).
% 5.99/4.67 tff(17196,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s211, s212)) | node14(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s211, s212)) | node14(s211, s212))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17197,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s211, s212)) | node14(s211, s212))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17198,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s211, s212)) | node14(s211, s212)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 5.99/4.67 tff(17199,plain,
% 5.99/4.67 (node14(s211, s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17198, 130, 17130])).
% 5.99/4.67 tff(17200,plain,
% 5.99/4.67 (((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, 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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17201,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17202,plain,
% 5.99/4.67 ((~![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(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | (~node14(s211, s212)) | m_main_v_state2(s212, c_c2)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17201, 17200])).
% 5.99/4.67 tff(17203,plain,
% 5.99/4.67 ((~m_main_v_state1(s211, c_n1)) | (~m_main_v_state2(s211, c_t2)) | node9(s211) | node8(s211) | node10(s211) | m_main_v_state2(s212, c_c2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17202, 704, 17199])).
% 5.99/4.67 tff(17204,plain,
% 5.99/4.67 (m_main_v_state2(s212, c_c2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17203, 17195, 17067, 17123, 17191, 17187])).
% 5.99/4.67 tff(17205,plain,
% 5.99/4.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17206,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17207,plain,
% 5.99/4.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_n2)) | (~m_main_v_state2(s212, c_c2))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17206, 17205])).
% 5.99/4.67 tff(17208,plain,
% 5.99/4.67 (~m_main_v_state2(s212, c_n2)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17207, 716, 17204])).
% 5.99/4.67 tff(17209,plain,
% 5.99/4.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s212, c_n2) | (~node4(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s212, c_n2) | (~node4(s212)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17210,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s212, c_n2) | (~node4(s212)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17211,plain,
% 5.99/4.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s212, c_n2) | (~node4(s212))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17210, 17209])).
% 5.99/4.67 tff(17212,plain,
% 5.99/4.67 (~node4(s212)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17211, 162, 17208])).
% 5.99/4.67 tff(17213,plain,
% 5.99/4.67 (succ(s212, s213) <=> succ(s212, s213)),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17214,axiom,(succ(s212, s213)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound213')).
% 5.99/4.67 tff(17215,plain,
% 5.99/4.67 (succ(s212, s213)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 5.99/4.67 tff(17216,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17217,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17218,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17217, 17216])).
% 5.99/4.67 tff(17219,plain,
% 5.99/4.67 (trans(s212, s213)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17218, 17215, 57])).
% 5.99/4.67 tff(17220,plain,
% 5.99/4.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s212, s213)) | node7(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s212, s213)) | node7(s212, s213))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17221,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s212, s213)) | node7(s212, s213))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17222,plain,
% 5.99/4.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s212, s213)) | node7(s212, s213)),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 5.99/4.67 tff(17223,plain,
% 5.99/4.67 (node7(s212, s213)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17222, 217, 17219])).
% 5.99/4.67 tff(17224,plain,
% 5.99/4.67 (((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))) <=> ((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17225,plain,
% 5.99/4.67 ((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213)))),
% 5.99/4.67 inference(quant_inst,[status(thm)],[])).
% 5.99/4.67 tff(17226,plain,
% 5.99/4.67 ((~![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(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213) | (~node7(s212, s213))),
% 5.99/4.67 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 5.99/4.67 tff(17227,plain,
% 5.99/4.67 (m_main_v_state1(s212, c_c1) | node1(s212) | node2(s212) | node3(s212) | node4(s212) | node5(s212) | node6(s212, s213)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17226, 745, 17223])).
% 5.99/4.67 tff(17228,plain,
% 5.99/4.67 (node6(s212, s213)),
% 5.99/4.67 inference(unit_resolution,[status(thm)],[17227, 17212, 17176, 17172, 17168, 17164, 17147])).
% 5.99/4.67 tff(17229,plain,
% 5.99/4.67 (((~![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(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17230,plain,
% 5.99/4.67 (((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1)) <=> ((~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 5.99/4.67 inference(rewrite,[status(thm)],[])).
% 5.99/4.67 tff(17231,plain,
% 5.99/4.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, 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(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213))))),
% 5.99/4.67 inference(monotonicity,[status(thm)],[17230])).
% 5.99/4.67 tff(17232,plain,
% 5.99/4.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, 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(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213)))),
% 5.99/4.68 inference(transitivity,[status(thm)],[17231, 17229])).
% 5.99/4.68 tff(17233,plain,
% 5.99/4.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s212, s213)) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17234,plain,
% 5.99/4.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s212, c_t1)) | m_main_v_state1(s213, c_t1) | (~node6(s212, s213))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 5.99/4.68 tff(17235,plain,
% 5.99/4.68 (m_main_v_state1(s213, c_t1)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17234, 760, 17139, 17228])).
% 5.99/4.68 tff(17236,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17237,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17238,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s212, c_t2)) | (~m_main_v_state2(s212, c_c2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 5.99/4.68 tff(17239,plain,
% 5.99/4.68 (~m_main_v_state2(s212, c_t2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17238, 173, 17204])).
% 5.99/4.68 tff(17240,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s212, c_t2) | (~node12(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s212, c_t2) | (~node12(s212)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17241,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s212, c_t2) | (~node12(s212)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17242,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s212, c_t2) | (~node12(s212))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17241, 17240])).
% 5.99/4.68 tff(17243,plain,
% 5.99/4.68 (~node12(s212)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17242, 778, 17239])).
% 5.99/4.68 tff(17244,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s212, c_n1) | (~node11(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s212, c_n1) | (~node11(s212)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17245,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s212, c_n1) | (~node11(s212)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17246,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s212, c_n1) | (~node11(s212))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 5.99/4.68 tff(17247,plain,
% 5.99/4.68 (~node11(s212)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17246, 361, 17143])).
% 5.99/4.68 tff(17248,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s212, c_c1) | (~node10(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s212, c_c1) | (~node10(s212)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17249,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s212, c_c1) | (~node10(s212)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17250,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s212, c_c1) | (~node10(s212))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 5.99/4.68 tff(17251,plain,
% 5.99/4.68 (~node10(s212)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17250, 793, 17176])).
% 5.99/4.68 tff(17252,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s212, c_n1) | (~node9(s212)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s212, c_n1) | (~node9(s212)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17253,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s212, c_n1) | (~node9(s212)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17254,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s212, c_n1) | (~node9(s212))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 5.99/4.68 tff(17255,plain,
% 5.99/4.68 (~node9(s212)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17254, 804, 17143])).
% 5.99/4.68 tff(17256,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s212, c_n2) | (~node8(s212)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s212, c_n2) | (~node8(s212)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17257,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s212, c_n2) | (~node8(s212)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17258,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s212, c_n2) | (~node8(s212))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 5.99/4.68 tff(17259,plain,
% 5.99/4.68 (~node8(s212)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17258, 383, 17208])).
% 5.99/4.68 tff(17260,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s212, s213)) | node14(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s212, s213)) | node14(s212, s213))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17261,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s212, s213)) | node14(s212, s213))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17262,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s212, s213)) | node14(s212, s213)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 5.99/4.68 tff(17263,plain,
% 5.99/4.68 (node14(s212, s213)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17262, 130, 17219])).
% 5.99/4.68 tff(17264,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, 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(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17265,plain,
% 5.99/4.68 (((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2)) <=> (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17266,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, 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(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2))))),
% 5.99/4.68 inference(monotonicity,[status(thm)],[17265])).
% 5.99/4.68 tff(17267,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, 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(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2)))),
% 5.99/4.68 inference(transitivity,[status(thm)],[17266, 17264])).
% 5.99/4.68 tff(17268,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s212, c_c2)) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | m_main_v_state2(s213, c_n2))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17269,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~node14(s212, s213)) | (~m_main_v_state2(s212, c_c2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 5.99/4.68 tff(17270,plain,
% 5.99/4.68 (m_main_v_state2(s213, c_n2) | node9(s212) | node8(s212) | node10(s212) | node11(s212) | node12(s212) | (~m_main_v_state2(s212, c_c2))),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17269, 826, 17263])).
% 5.99/4.68 tff(17271,plain,
% 5.99/4.68 (m_main_v_state2(s213, c_n2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17270, 17259, 17204, 17255, 17251, 17247, 17243])).
% 5.99/4.68 tff(17272,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17273,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17274,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_t2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 5.99/4.68 tff(17275,plain,
% 5.99/4.68 (~m_main_v_state2(s213, c_t2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17274, 10, 17271])).
% 5.99/4.68 tff(17276,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s213, c_t2) | (~node15(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s213, c_t2) | (~node15(s213)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17277,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s213, c_t2) | (~node15(s213)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17278,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s213, c_t2) | (~node15(s213))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17277, 17276])).
% 5.99/4.68 tff(17279,plain,
% 5.99/4.68 (~node15(s213)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17278, 21, 17275])).
% 5.99/4.68 tff(17280,plain,
% 5.99/4.68 (succ(s213, s214) <=> succ(s213, s214)),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17281,axiom,(succ(s213, s214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound214')).
% 5.99/4.68 tff(17282,plain,
% 5.99/4.68 (succ(s213, s214)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 5.99/4.68 tff(17283,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17284,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17285,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 5.99/4.68 tff(17286,plain,
% 5.99/4.68 (trans(s213, s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17285, 17282, 57])).
% 5.99/4.68 tff(17287,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s213, s214)) | node18(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s213, s214)) | node18(s213, s214))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17288,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s213, s214)) | node18(s213, s214))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17289,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s213, s214)) | node18(s213, s214)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17288, 17287])).
% 5.99/4.68 tff(17290,plain,
% 5.99/4.68 (node18(s213, s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17289, 71, 17286])).
% 5.99/4.68 tff(17291,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_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(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, 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(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17292,plain,
% 5.99/4.68 (((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1)) <=> (node15(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17293,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, 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(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)))),
% 5.99/4.68 inference(monotonicity,[status(thm)],[17292])).
% 5.99/4.68 tff(17294,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~m_main_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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, 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(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1))),
% 5.99/4.68 inference(transitivity,[status(thm)],[17293, 17291])).
% 5.99/4.68 tff(17295,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~m_main_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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node15(s213) | (~node18(s213, s214)) | m_main_v_turn(s214, c_1))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17296,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~m_main_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(s213) | (~node18(s213, s214)) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 5.99/4.68 tff(17297,plain,
% 5.99/4.68 (node15(s213) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_turn(s214, c_1)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17296, 863, 17290])).
% 5.99/4.68 tff(17298,plain,
% 5.99/4.68 (m_main_v_turn(s214, c_1)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17297, 17279, 17271, 17235])).
% 5.99/4.68 tff(17299,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17300,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17301,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s214, c_1)) | (~m_main_v_turn(s214, c_2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17300, 17299])).
% 5.99/4.68 tff(17302,plain,
% 5.99/4.68 (~m_main_v_turn(s214, c_2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17301, 322, 17298])).
% 5.99/4.68 tff(17303,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s214, c_2) | (~node12(s214)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s214, c_2) | (~node12(s214)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17304,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s214, c_2) | (~node12(s214)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17305,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s214, c_2) | (~node12(s214))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 5.99/4.68 tff(17306,plain,
% 5.99/4.68 (~node12(s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17305, 350, 17302])).
% 5.99/4.68 tff(17307,plain,
% 5.99/4.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s213, s214)) | node14(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s213, s214)) | node14(s213, s214))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17308,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s213, s214)) | node14(s213, s214))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17309,plain,
% 5.99/4.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s213, s214)) | node14(s213, s214)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 5.99/4.68 tff(17310,plain,
% 5.99/4.68 (node14(s213, s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17309, 130, 17286])).
% 5.99/4.68 tff(17311,plain,
% 5.99/4.68 (((~![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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, 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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17312,plain,
% 5.99/4.68 ((~![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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17313,plain,
% 5.99/4.68 ((~![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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | (~node14(s213, s214)) | m_main_v_state2(s214, c_t2)),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 5.99/4.68 tff(17314,plain,
% 5.99/4.68 ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state2(s214, c_t2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17313, 893, 17310])).
% 5.99/4.68 tff(17315,plain,
% 5.99/4.68 (m_main_v_state2(s214, c_t2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17314, 17235, 17271])).
% 5.99/4.68 tff(17316,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17317,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17318,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s214, c_n2)) | (~m_main_v_state2(s214, c_t2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17317, 17316])).
% 5.99/4.68 tff(17319,plain,
% 5.99/4.68 (~m_main_v_state2(s214, c_n2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17318, 10, 17315])).
% 5.99/4.68 tff(17320,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s214, c_n2) | (~node8(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s214, c_n2) | (~node8(s214)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17321,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s214, c_n2) | (~node8(s214)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17322,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s214, c_n2) | (~node8(s214))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 5.99/4.68 tff(17323,plain,
% 5.99/4.68 (~node8(s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17322, 383, 17319])).
% 5.99/4.68 tff(17324,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s214, c_n2) | (~node9(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s214, c_n2) | (~node9(s214)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17325,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s214, c_n2) | (~node9(s214)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17326,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s214, c_n2) | (~node9(s214))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 5.99/4.68 tff(17327,plain,
% 5.99/4.68 (~node9(s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17326, 311, 17319])).
% 5.99/4.68 tff(17328,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s214, c_n2) | (~node10(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s214, c_n2) | (~node10(s214)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17329,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s214, c_n2) | (~node10(s214)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17330,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s214, c_n2) | (~node10(s214))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17329, 17328])).
% 5.99/4.68 tff(17331,plain,
% 5.99/4.68 (~node10(s214)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17330, 372, 17319])).
% 5.99/4.68 tff(17332,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17333,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17334,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s214, c_t2)) | (~m_main_v_state2(s214, c_c2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 5.99/4.68 tff(17335,plain,
% 5.99/4.68 (~m_main_v_state2(s214, c_c2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17334, 173, 17315])).
% 5.99/4.68 tff(17336,plain,
% 5.99/4.68 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17337,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17338,plain,
% 5.99/4.68 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s213, c_n2)) | (~m_main_v_state2(s213, c_c2))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 5.99/4.68 tff(17339,plain,
% 5.99/4.68 (~m_main_v_state2(s213, c_c2)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17338, 716, 17271])).
% 5.99/4.68 tff(17340,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s213, c_c2) | (~node3(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s213, c_c2) | (~node3(s213)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17341,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s213, c_c2) | (~node3(s213)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17342,plain,
% 5.99/4.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s213, c_c2) | (~node3(s213))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 5.99/4.68 tff(17343,plain,
% 5.99/4.68 (~node3(s213)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17342, 184, 17339])).
% 5.99/4.68 tff(17344,plain,
% 5.99/4.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17345,plain,
% 5.99/4.68 (((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1))) <=> (m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 5.99/4.68 inference(rewrite,[status(thm)],[])).
% 5.99/4.68 tff(17346,plain,
% 5.99/4.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, 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(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213))))),
% 5.99/4.68 inference(monotonicity,[status(thm)],[17345])).
% 5.99/4.68 tff(17347,plain,
% 5.99/4.68 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, 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(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213)))),
% 5.99/4.68 inference(transitivity,[status(thm)],[17346, 17344])).
% 5.99/4.68 tff(17348,plain,
% 5.99/4.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s212, s213)) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)))),
% 5.99/4.68 inference(quant_inst,[status(thm)],[])).
% 5.99/4.68 tff(17349,plain,
% 5.99/4.68 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s212, c_n1) | (~m_main_v_state1(s213, c_n1)) | (~node6(s212, s213))),
% 5.99/4.68 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 5.99/4.68 tff(17350,plain,
% 5.99/4.68 (~m_main_v_state1(s213, c_n1)),
% 5.99/4.68 inference(unit_resolution,[status(thm)],[17349, 936, 17143, 17228])).
% 5.99/4.68 tff(17351,plain,
% 5.99/4.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s213, c_n1) | (~node2(s213)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s213, c_n1) | (~node2(s213)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17352,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s213, c_n1) | (~node2(s213)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17353,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s213, c_n1) | (~node2(s213))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 5.99/4.69 tff(17354,plain,
% 5.99/4.69 (~node2(s213)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17353, 652, 17350])).
% 5.99/4.69 tff(17355,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s213, c_t2) | (~node1(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s213, c_t2) | (~node1(s213)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17356,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s213, c_t2) | (~node1(s213)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17357,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s213, c_t2) | (~node1(s213))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 5.99/4.69 tff(17358,plain,
% 5.99/4.69 (~node1(s213)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17357, 206, 17275])).
% 5.99/4.69 tff(17359,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s213, s214)) | node7(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s213, s214)) | node7(s213, s214))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17360,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s213, s214)) | node7(s213, s214))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17361,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s213, s214)) | node7(s213, s214)),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17360, 17359])).
% 5.99/4.69 tff(17362,plain,
% 5.99/4.69 (node7(s213, s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17361, 217, 17286])).
% 5.99/4.69 tff(17363,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17364,plain,
% 5.99/4.69 (((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1)) <=> ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17365,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, 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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214))))),
% 5.99/4.69 inference(monotonicity,[status(thm)],[17364])).
% 5.99/4.69 tff(17366,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, 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(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)))),
% 5.99/4.69 inference(transitivity,[status(thm)],[17365, 17363])).
% 5.99/4.69 tff(17367,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214)) | m_main_v_state1(s214, c_c1))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17368,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213) | (~node7(s213, s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 5.99/4.69 tff(17369,plain,
% 5.99/4.69 ((~m_main_v_state1(s213, c_t1)) | (~m_main_v_state2(s213, c_n2)) | m_main_v_state1(s214, c_c1) | node1(s213) | node2(s213) | node3(s213)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17368, 965, 17362])).
% 5.99/4.69 tff(17370,plain,
% 5.99/4.69 (m_main_v_state1(s214, c_c1)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17369, 17358, 17271, 17235, 17354, 17343])).
% 5.99/4.69 tff(17371,plain,
% 5.99/4.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17372,plain,
% 5.99/4.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17373,plain,
% 5.99/4.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_n1)) | (~m_main_v_state1(s214, c_c1))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17372, 17371])).
% 5.99/4.69 tff(17374,plain,
% 5.99/4.69 (~m_main_v_state1(s214, c_n1)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17373, 449, 17370])).
% 5.99/4.69 tff(17375,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s214, c_n1) | (~node11(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s214, c_n1) | (~node11(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17376,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s214, c_n1) | (~node11(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17377,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s214, c_n1) | (~node11(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 5.99/4.69 tff(17378,plain,
% 5.99/4.69 (~node11(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17377, 361, 17374])).
% 5.99/4.69 tff(17379,plain,
% 5.99/4.69 (succ(s214, s215) <=> succ(s214, s215)),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17380,axiom,(succ(s214, s215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound215')).
% 5.99/4.69 tff(17381,plain,
% 5.99/4.69 (succ(s214, s215)),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 5.99/4.69 tff(17382,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17383,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17384,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17383, 17382])).
% 5.99/4.69 tff(17385,plain,
% 5.99/4.69 (trans(s214, s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17384, 17381, 57])).
% 5.99/4.69 tff(17386,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s214, s215)) | node14(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s214, s215)) | node14(s214, s215))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17387,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s214, s215)) | node14(s214, s215))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17388,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s214, s215)) | node14(s214, s215)),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17387, 17386])).
% 5.99/4.69 tff(17389,plain,
% 5.99/4.69 (node14(s214, s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17388, 130, 17385])).
% 5.99/4.69 tff(17390,plain,
% 5.99/4.69 (((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))) <=> ((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17391,plain,
% 5.99/4.69 ((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17392,plain,
% 5.99/4.69 ((~![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(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215) | (~node14(s214, s215))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 5.99/4.69 tff(17393,plain,
% 5.99/4.69 (m_main_v_state2(s214, c_c2) | node9(s214) | node8(s214) | node10(s214) | node11(s214) | node12(s214) | node13(s214, s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17392, 401, 17389])).
% 5.99/4.69 tff(17394,plain,
% 5.99/4.69 (node13(s214, s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17393, 17378, 17335, 17331, 17327, 17323, 17306])).
% 5.99/4.69 tff(17395,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17396,plain,
% 5.99/4.69 (((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2))) <=> (m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17397,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, 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(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215))))),
% 5.99/4.69 inference(monotonicity,[status(thm)],[17396])).
% 5.99/4.69 tff(17398,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, 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(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215)))),
% 5.99/4.69 inference(transitivity,[status(thm)],[17397, 17395])).
% 5.99/4.69 tff(17399,plain,
% 5.99/4.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s214, s215)) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17400,plain,
% 5.99/4.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s214, c_n2) | (~m_main_v_state2(s215, c_n2)) | (~node13(s214, s215))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 5.99/4.69 tff(17401,plain,
% 5.99/4.69 (~m_main_v_state2(s215, c_n2)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17400, 416, 17319, 17394])).
% 5.99/4.69 tff(17402,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s215, c_n2) | (~node9(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s215, c_n2) | (~node9(s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17403,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s215, c_n2) | (~node9(s215)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17404,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s215, c_n2) | (~node9(s215))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 5.99/4.69 tff(17405,plain,
% 5.99/4.69 (~node9(s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17404, 311, 17401])).
% 5.99/4.69 tff(17406,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s215, c_n2) | (~node10(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s215, c_n2) | (~node10(s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17407,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s215, c_n2) | (~node10(s215)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17408,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s215, c_n2) | (~node10(s215))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 5.99/4.69 tff(17409,plain,
% 5.99/4.69 (~node10(s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17408, 372, 17401])).
% 5.99/4.69 tff(17410,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17411,plain,
% 5.99/4.69 (((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2)) <=> ((~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17412,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, 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(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215))))),
% 5.99/4.69 inference(monotonicity,[status(thm)],[17411])).
% 5.99/4.69 tff(17413,plain,
% 5.99/4.69 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, 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(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215)))),
% 5.99/4.69 inference(transitivity,[status(thm)],[17412, 17410])).
% 5.99/4.69 tff(17414,plain,
% 5.99/4.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s214, s215)) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17415,plain,
% 5.99/4.69 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s214, c_t2)) | m_main_v_state2(s215, c_t2) | (~node13(s214, s215))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17414, 17413])).
% 5.99/4.69 tff(17416,plain,
% 5.99/4.69 (m_main_v_state2(s215, c_t2)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17415, 563, 17315, 17394])).
% 5.99/4.69 tff(17417,plain,
% 5.99/4.69 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17418,plain,
% 5.99/4.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17419,plain,
% 5.99/4.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s214, c_t1)) | (~m_main_v_state1(s214, c_c1))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 5.99/4.69 tff(17420,plain,
% 5.99/4.69 (~m_main_v_state1(s214, c_t1)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17419, 289, 17370])).
% 5.99/4.69 tff(17421,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s214, c_t1) | (~node5(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s214, c_t1) | (~node5(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17422,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s214, c_t1) | (~node5(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17423,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s214, c_t1) | (~node5(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17422, 17421])).
% 5.99/4.69 tff(17424,plain,
% 5.99/4.69 (~node5(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17423, 300, 17420])).
% 5.99/4.69 tff(17425,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s214, c_n2) | (~node4(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s214, c_n2) | (~node4(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17426,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s214, c_n2) | (~node4(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17427,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s214, c_n2) | (~node4(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17426, 17425])).
% 5.99/4.69 tff(17428,plain,
% 5.99/4.69 (~node4(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17427, 162, 17319])).
% 5.99/4.69 tff(17429,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s214, c_c2) | (~node3(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s214, c_c2) | (~node3(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17430,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s214, c_c2) | (~node3(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17431,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s214, c_c2) | (~node3(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 5.99/4.69 tff(17432,plain,
% 5.99/4.69 (~node3(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17431, 184, 17335])).
% 5.99/4.69 tff(17433,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s214, c_n2) | (~node2(s214)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s214, c_n2) | (~node2(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17434,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s214, c_n2) | (~node2(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17435,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s214, c_n2) | (~node2(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 5.99/4.69 tff(17436,plain,
% 5.99/4.69 (~node2(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17435, 195, 17319])).
% 5.99/4.69 tff(17437,plain,
% 5.99/4.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s214, c_n1) | (~node1(s214)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s214, c_n1) | (~node1(s214)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17438,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s214, c_n1) | (~node1(s214)))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17439,plain,
% 5.99/4.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s214, c_n1) | (~node1(s214))),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 5.99/4.69 tff(17440,plain,
% 5.99/4.69 (~node1(s214)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17439, 249, 17374])).
% 5.99/4.69 tff(17441,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s214, s215)) | node7(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s214, s215)) | node7(s214, s215))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17442,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s214, s215)) | node7(s214, s215))),
% 5.99/4.69 inference(quant_inst,[status(thm)],[])).
% 5.99/4.69 tff(17443,plain,
% 5.99/4.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s214, s215)) | node7(s214, s215)),
% 5.99/4.69 inference(modus_ponens,[status(thm)],[17442, 17441])).
% 5.99/4.69 tff(17444,plain,
% 5.99/4.69 (node7(s214, s215)),
% 5.99/4.69 inference(unit_resolution,[status(thm)],[17443, 217, 17385])).
% 5.99/4.69 tff(17445,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17446,plain,
% 5.99/4.69 (((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1)) <=> (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 5.99/4.69 inference(rewrite,[status(thm)],[])).
% 5.99/4.69 tff(17447,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, 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(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215))))),
% 5.99/4.69 inference(monotonicity,[status(thm)],[17446])).
% 5.99/4.69 tff(17448,plain,
% 5.99/4.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, 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(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)))),
% 5.99/4.70 inference(transitivity,[status(thm)],[17447, 17445])).
% 5.99/4.70 tff(17449,plain,
% 5.99/4.70 ((~![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(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215)) | m_main_v_state1(s215, c_n1))),
% 5.99/4.70 inference(quant_inst,[status(thm)],[])).
% 5.99/4.70 tff(17450,plain,
% 5.99/4.70 ((~![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(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214) | (~node7(s214, s215))),
% 5.99/4.70 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 5.99/4.70 tff(17451,plain,
% 5.99/4.70 (m_main_v_state1(s215, c_n1) | (~m_main_v_state1(s214, c_c1)) | node1(s214) | node2(s214) | node3(s214) | node4(s214) | node5(s214)),
% 5.99/4.70 inference(unit_resolution,[status(thm)],[17450, 478, 17444])).
% 5.99/4.70 tff(17452,plain,
% 5.99/4.70 (m_main_v_state1(s215, c_n1)),
% 5.99/4.70 inference(unit_resolution,[status(thm)],[17451, 17440, 17370, 17436, 17432, 17428, 17424])).
% 5.99/4.70 tff(17453,plain,
% 5.99/4.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s215, c_n2) | (~node8(s215)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s215, c_n2) | (~node8(s215)))),
% 5.99/4.70 inference(rewrite,[status(thm)],[])).
% 5.99/4.70 tff(17454,plain,
% 5.99/4.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s215, c_n2) | (~node8(s215)))),
% 5.99/4.70 inference(quant_inst,[status(thm)],[])).
% 5.99/4.70 tff(17455,plain,
% 5.99/4.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s215, c_n2) | (~node8(s215))),
% 5.99/4.70 inference(modus_ponens,[status(thm)],[17454, 17453])).
% 5.99/4.70 tff(17456,plain,
% 5.99/4.70 (~node8(s215)),
% 5.99/4.70 inference(unit_resolution,[status(thm)],[17455, 383, 17401])).
% 5.99/4.70 tff(17457,plain,
% 5.99/4.70 (succ(s215, s216) <=> succ(s215, s216)),
% 5.99/4.70 inference(rewrite,[status(thm)],[])).
% 5.99/4.70 tff(17458,axiom,(succ(s215, s216)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound216')).
% 5.99/4.70 tff(17459,plain,
% 5.99/4.70 (succ(s215, s216)),
% 5.99/4.70 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 5.99/4.70 tff(17460,plain,
% 5.99/4.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216))),
% 5.99/4.70 inference(rewrite,[status(thm)],[])).
% 5.99/4.70 tff(17461,plain,
% 5.99/4.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 5.99/4.70 inference(quant_inst,[status(thm)],[])).
% 5.99/4.70 tff(17462,plain,
% 5.99/4.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 5.99/4.70 inference(modus_ponens,[status(thm)],[17461, 17460])).
% 5.99/4.70 tff(17463,plain,
% 5.99/4.70 (trans(s215, s216)),
% 5.99/4.70 inference(unit_resolution,[status(thm)],[17462, 17459, 57])).
% 5.99/4.70 tff(17464,plain,
% 5.99/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s215, s216)) | node14(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s215, s216)) | node14(s215, s216))),
% 5.99/4.70 inference(rewrite,[status(thm)],[])).
% 5.99/4.70 tff(17465,plain,
% 5.99/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s215, s216)) | node14(s215, s216))),
% 5.99/4.70 inference(quant_inst,[status(thm)],[])).
% 5.99/4.70 tff(17466,plain,
% 5.99/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s215, s216)) | node14(s215, s216)),
% 5.99/4.70 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 5.99/4.70 tff(17467,plain,
% 5.99/4.70 (node14(s215, s216)),
% 5.99/4.70 inference(unit_resolution,[status(thm)],[17466, 130, 17463])).
% 5.99/4.70 tff(17468,plain,
% 5.99/4.70 (((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, 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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17469,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17470,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | (~node14(s215, s216)) | m_main_v_state2(s216, c_c2)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 6.06/4.70 tff(17471,plain,
% 6.06/4.70 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | node9(s215) | node8(s215) | node10(s215) | m_main_v_state2(s216, c_c2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17470, 704, 17467])).
% 6.06/4.70 tff(17472,plain,
% 6.06/4.70 (m_main_v_state2(s216, c_c2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17471, 17456, 17452, 17416, 17409, 17405])).
% 6.06/4.70 tff(17473,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17474,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17475,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_t2)) | (~m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 6.06/4.70 tff(17476,plain,
% 6.06/4.70 (~m_main_v_state2(s216, c_t2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17475, 173, 17472])).
% 6.06/4.70 tff(17477,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s216, c_t2) | (~node12(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s216, c_t2) | (~node12(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17478,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s216, c_t2) | (~node12(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17479,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s216, c_t2) | (~node12(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17478, 17477])).
% 6.06/4.70 tff(17480,plain,
% 6.06/4.70 (~node12(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17479, 778, 17476])).
% 6.06/4.70 tff(17481,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s215, s216)) | node7(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s215, s216)) | node7(s215, s216))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17482,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s215, s216)) | node7(s215, s216))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17483,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s215, s216)) | node7(s215, s216)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 6.06/4.70 tff(17484,plain,
% 6.06/4.70 (node7(s215, s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17483, 217, 17463])).
% 6.06/4.70 tff(17485,plain,
% 6.06/4.70 (((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, 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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17486,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17487,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node7(s215, s216)) | m_main_v_state1(s216, c_t1)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 6.06/4.70 tff(17488,plain,
% 6.06/4.70 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_state1(s216, c_t1)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17487, 598, 17484])).
% 6.06/4.70 tff(17489,plain,
% 6.06/4.70 (m_main_v_state1(s216, c_t1)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17488, 17416, 17452])).
% 6.06/4.70 tff(17490,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17491,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17492,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s216, c_n1)) | (~m_main_v_state1(s216, c_t1))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 6.06/4.70 tff(17493,plain,
% 6.06/4.70 (~m_main_v_state1(s216, c_n1)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17492, 35, 17489])).
% 6.06/4.70 tff(17494,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s216, c_n1) | (~node11(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s216, c_n1) | (~node11(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17495,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s216, c_n1) | (~node11(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17496,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s216, c_n1) | (~node11(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 6.06/4.70 tff(17497,plain,
% 6.06/4.70 (~node11(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17496, 361, 17493])).
% 6.06/4.70 tff(17498,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17499,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17500,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s216, c_t1)) | (~m_main_v_state1(s216, c_c1))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 6.06/4.70 tff(17501,plain,
% 6.06/4.70 (~m_main_v_state1(s216, c_c1)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17500, 289, 17489])).
% 6.06/4.70 tff(17502,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s216, c_c1) | (~node10(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s216, c_c1) | (~node10(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17503,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s216, c_c1) | (~node10(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17504,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s216, c_c1) | (~node10(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 6.06/4.70 tff(17505,plain,
% 6.06/4.70 (~node10(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17504, 793, 17501])).
% 6.06/4.70 tff(17506,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s216, c_n1) | (~node9(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s216, c_n1) | (~node9(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17507,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s216, c_n1) | (~node9(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17508,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s216, c_n1) | (~node9(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17507, 17506])).
% 6.06/4.70 tff(17509,plain,
% 6.06/4.70 (~node9(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17508, 804, 17493])).
% 6.06/4.70 tff(17510,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17511,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17512,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s216, c_n2)) | (~m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17511, 17510])).
% 6.06/4.70 tff(17513,plain,
% 6.06/4.70 (~m_main_v_state2(s216, c_n2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17512, 716, 17472])).
% 6.06/4.70 tff(17514,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s216, c_n2) | (~node8(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s216, c_n2) | (~node8(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17515,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s216, c_n2) | (~node8(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17516,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s216, c_n2) | (~node8(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 6.06/4.70 tff(17517,plain,
% 6.06/4.70 (~node8(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17516, 383, 17513])).
% 6.06/4.70 tff(17518,plain,
% 6.06/4.70 (succ(s216, s217) <=> succ(s216, s217)),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17519,axiom,(succ(s216, s217)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound217')).
% 6.06/4.70 tff(17520,plain,
% 6.06/4.70 (succ(s216, s217)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 6.06/4.70 tff(17521,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17522,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17523,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 6.06/4.70 tff(17524,plain,
% 6.06/4.70 (trans(s216, s217)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17523, 17520, 57])).
% 6.06/4.70 tff(17525,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s216, s217)) | node14(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s216, s217)) | node14(s216, s217))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17526,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s216, s217)) | node14(s216, s217))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17527,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s216, s217)) | node14(s216, s217)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17526, 17525])).
% 6.06/4.70 tff(17528,plain,
% 6.06/4.70 (node14(s216, s217)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17527, 130, 17524])).
% 6.06/4.70 tff(17529,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, 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(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17530,plain,
% 6.06/4.70 (((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2)) <=> (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17531,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, 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(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2))))),
% 6.06/4.70 inference(monotonicity,[status(thm)],[17530])).
% 6.06/4.70 tff(17532,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, 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(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2)))),
% 6.06/4.70 inference(transitivity,[status(thm)],[17531, 17529])).
% 6.06/4.70 tff(17533,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s216, c_c2)) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | m_main_v_state2(s217, c_n2))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17534,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~node14(s216, s217)) | (~m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 6.06/4.70 tff(17535,plain,
% 6.06/4.70 (m_main_v_state2(s217, c_n2) | node9(s216) | node8(s216) | node10(s216) | node11(s216) | node12(s216) | (~m_main_v_state2(s216, c_c2))),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17534, 826, 17528])).
% 6.06/4.70 tff(17536,plain,
% 6.06/4.70 (m_main_v_state2(s217, c_n2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17535, 17517, 17472, 17509, 17505, 17497, 17480])).
% 6.06/4.70 tff(17537,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17538,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17539,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_c2))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17538, 17537])).
% 6.06/4.70 tff(17540,plain,
% 6.06/4.70 (~m_main_v_state2(s217, c_c2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17539, 716, 17536])).
% 6.06/4.70 tff(17541,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s217, c_c2) | (~node3(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s217, c_c2) | (~node3(s217)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17542,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s217, c_c2) | (~node3(s217)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17543,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s217, c_c2) | (~node3(s217))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17542, 17541])).
% 6.06/4.70 tff(17544,plain,
% 6.06/4.70 (~node3(s217)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17543, 184, 17540])).
% 6.06/4.70 tff(17545,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s216, c_n1) | (~node1(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s216, c_n1) | (~node1(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17546,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s216, c_n1) | (~node1(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17547,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s216, c_n1) | (~node1(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17546, 17545])).
% 6.06/4.70 tff(17548,plain,
% 6.06/4.70 (~node1(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17547, 249, 17493])).
% 6.06/4.70 tff(17549,plain,
% 6.06/4.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s215, s216)) | node18(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s215, s216)) | node18(s215, s216))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17550,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s215, s216)) | node18(s215, s216))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17551,plain,
% 6.06/4.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s215, s216)) | node18(s215, s216)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 6.06/4.70 tff(17552,plain,
% 6.06/4.70 (node18(s215, s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17551, 71, 17463])).
% 6.06/4.70 tff(17553,plain,
% 6.06/4.70 (((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, 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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17554,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17555,plain,
% 6.06/4.70 ((~![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(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | (~node18(s215, s216)) | m_main_v_turn(s216, c_2)),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 6.06/4.70 tff(17556,plain,
% 6.06/4.70 ((~m_main_v_state1(s215, c_n1)) | (~m_main_v_state2(s215, c_t2)) | m_main_v_turn(s216, c_2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17555, 625, 17552])).
% 6.06/4.70 tff(17557,plain,
% 6.06/4.70 (m_main_v_turn(s216, c_2)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17556, 17416, 17452])).
% 6.06/4.70 tff(17558,plain,
% 6.06/4.70 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17559,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17560,plain,
% 6.06/4.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s216, c_1)) | (~m_main_v_turn(s216, c_2))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 6.06/4.70 tff(17561,plain,
% 6.06/4.70 (~m_main_v_turn(s216, c_1)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17560, 322, 17557])).
% 6.06/4.70 tff(17562,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s216, c_1) | (~node5(s216)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s216, c_1) | (~node5(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17563,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s216, c_1) | (~node5(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17564,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s216, c_1) | (~node5(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 6.06/4.70 tff(17565,plain,
% 6.06/4.70 (~node5(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17564, 641, 17561])).
% 6.06/4.70 tff(17566,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s216, c_n1) | (~node2(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s216, c_n1) | (~node2(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17567,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s216, c_n1) | (~node2(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17568,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s216, c_n1) | (~node2(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 6.06/4.70 tff(17569,plain,
% 6.06/4.70 (~node2(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17568, 652, 17493])).
% 6.06/4.70 tff(17570,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s216, c_n1) | (~node3(s216)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s216, c_n1) | (~node3(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.70 tff(17571,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s216, c_n1) | (~node3(s216)))),
% 6.06/4.70 inference(quant_inst,[status(thm)],[])).
% 6.06/4.70 tff(17572,plain,
% 6.06/4.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s216, c_n1) | (~node3(s216))),
% 6.06/4.70 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 6.06/4.70 tff(17573,plain,
% 6.06/4.70 (~node3(s216)),
% 6.06/4.70 inference(unit_resolution,[status(thm)],[17572, 663, 17493])).
% 6.06/4.70 tff(17574,plain,
% 6.06/4.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s216, c_n2) | (~node4(s216)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s216, c_n2) | (~node4(s216)))),
% 6.06/4.70 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17575,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s216, c_n2) | (~node4(s216)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17576,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s216, c_n2) | (~node4(s216))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17575, 17574])).
% 6.06/4.71 tff(17577,plain,
% 6.06/4.71 (~node4(s216)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17576, 162, 17513])).
% 6.06/4.71 tff(17578,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s216, s217)) | node7(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s216, s217)) | node7(s216, s217))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17579,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s216, s217)) | node7(s216, s217))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17580,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s216, s217)) | node7(s216, s217)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17579, 17578])).
% 6.06/4.71 tff(17581,plain,
% 6.06/4.71 (node7(s216, s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17580, 217, 17524])).
% 6.06/4.71 tff(17582,plain,
% 6.06/4.71 (((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))) <=> ((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17583,plain,
% 6.06/4.71 ((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17584,plain,
% 6.06/4.71 ((~![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(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217) | (~node7(s216, s217))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 6.06/4.71 tff(17585,plain,
% 6.06/4.71 (m_main_v_state1(s216, c_c1) | node1(s216) | node2(s216) | node3(s216) | node4(s216) | node5(s216) | node6(s216, s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17584, 745, 17581])).
% 6.06/4.71 tff(17586,plain,
% 6.06/4.71 (node6(s216, s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17585, 17577, 17501, 17573, 17569, 17565, 17548])).
% 6.06/4.71 tff(17587,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17588,plain,
% 6.06/4.71 (((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1))) <=> (m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17589,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, 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(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217))))),
% 6.06/4.71 inference(monotonicity,[status(thm)],[17588])).
% 6.06/4.71 tff(17590,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, 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(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217)))),
% 6.06/4.71 inference(transitivity,[status(thm)],[17589, 17587])).
% 6.06/4.71 tff(17591,plain,
% 6.06/4.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s216, s217)) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17592,plain,
% 6.06/4.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s216, c_n1) | (~m_main_v_state1(s217, c_n1)) | (~node6(s216, s217))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 6.06/4.71 tff(17593,plain,
% 6.06/4.71 (~m_main_v_state1(s217, c_n1)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17592, 936, 17493, 17586])).
% 6.06/4.71 tff(17594,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s217, c_n1) | (~node2(s217)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s217, c_n1) | (~node2(s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17595,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s217, c_n1) | (~node2(s217)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17596,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s217, c_n1) | (~node2(s217))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 6.06/4.71 tff(17597,plain,
% 6.06/4.71 (~node2(s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17596, 652, 17593])).
% 6.06/4.71 tff(17598,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17599,plain,
% 6.06/4.71 (((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1)) <=> ((~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17600,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, 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(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217))))),
% 6.06/4.71 inference(monotonicity,[status(thm)],[17599])).
% 6.06/4.71 tff(17601,plain,
% 6.06/4.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, 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(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217)))),
% 6.06/4.71 inference(transitivity,[status(thm)],[17600, 17598])).
% 6.06/4.71 tff(17602,plain,
% 6.06/4.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s216, s217)) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17603,plain,
% 6.06/4.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s216, c_t1)) | m_main_v_state1(s217, c_t1) | (~node6(s216, s217))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 6.06/4.71 tff(17604,plain,
% 6.06/4.71 (m_main_v_state1(s217, c_t1)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17603, 760, 17489, 17586])).
% 6.06/4.71 tff(17605,plain,
% 6.06/4.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17606,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17607,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s217, c_n2)) | (~m_main_v_state2(s217, c_t2))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 6.06/4.71 tff(17608,plain,
% 6.06/4.71 (~m_main_v_state2(s217, c_t2)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17607, 10, 17536])).
% 6.06/4.71 tff(17609,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s217, c_t2) | (~node1(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s217, c_t2) | (~node1(s217)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17610,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s217, c_t2) | (~node1(s217)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17611,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s217, c_t2) | (~node1(s217))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 6.06/4.71 tff(17612,plain,
% 6.06/4.71 (~node1(s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17611, 206, 17608])).
% 6.06/4.71 tff(17613,plain,
% 6.06/4.71 (succ(s217, s218) <=> succ(s217, s218)),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17614,axiom,(succ(s217, s218)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound218')).
% 6.06/4.71 tff(17615,plain,
% 6.06/4.71 (succ(s217, s218)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 6.06/4.71 tff(17616,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17617,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17618,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 6.06/4.71 tff(17619,plain,
% 6.06/4.71 (trans(s217, s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17618, 17615, 57])).
% 6.06/4.71 tff(17620,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s217, s218)) | node7(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s217, s218)) | node7(s217, s218))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17621,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s217, s218)) | node7(s217, s218))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17622,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s217, s218)) | node7(s217, s218)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 6.06/4.71 tff(17623,plain,
% 6.06/4.71 (node7(s217, s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17622, 217, 17619])).
% 6.06/4.71 tff(17624,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17625,plain,
% 6.06/4.71 (((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1)) <=> ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17626,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, 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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218))))),
% 6.06/4.71 inference(monotonicity,[status(thm)],[17625])).
% 6.06/4.71 tff(17627,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, 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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)))),
% 6.06/4.71 inference(transitivity,[status(thm)],[17626, 17624])).
% 6.06/4.71 tff(17628,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218)) | m_main_v_state1(s218, c_c1))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17629,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217) | (~node7(s217, s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17628, 17627])).
% 6.06/4.71 tff(17630,plain,
% 6.06/4.71 ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state1(s218, c_c1) | node1(s217) | node2(s217) | node3(s217)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17629, 965, 17623])).
% 6.06/4.71 tff(17631,plain,
% 6.06/4.71 (m_main_v_state1(s218, c_c1)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17630, 17612, 17536, 17604, 17597, 17544])).
% 6.06/4.71 tff(17632,plain,
% 6.06/4.71 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17633,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17634,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_t1)) | (~m_main_v_state1(s218, c_c1))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 6.06/4.71 tff(17635,plain,
% 6.06/4.71 (~m_main_v_state1(s218, c_t1)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17634, 289, 17631])).
% 6.06/4.71 tff(17636,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s218, c_t1) | (~node5(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s218, c_t1) | (~node5(s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17637,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s218, c_t1) | (~node5(s218)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17638,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s218, c_t1) | (~node5(s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 6.06/4.71 tff(17639,plain,
% 6.06/4.71 (~node5(s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17638, 300, 17635])).
% 6.06/4.71 tff(17640,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s217, s218)) | node14(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s217, s218)) | node14(s217, s218))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17641,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s217, s218)) | node14(s217, s218))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17642,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s217, s218)) | node14(s217, s218)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17641, 17640])).
% 6.06/4.71 tff(17643,plain,
% 6.06/4.71 (node14(s217, s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17642, 130, 17619])).
% 6.06/4.71 tff(17644,plain,
% 6.06/4.71 (((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, 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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17645,plain,
% 6.06/4.71 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17646,plain,
% 6.06/4.71 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | (~node14(s217, s218)) | m_main_v_state2(s218, c_t2)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 6.06/4.71 tff(17647,plain,
% 6.06/4.71 ((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_state2(s218, c_t2)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17646, 893, 17643])).
% 6.06/4.71 tff(17648,plain,
% 6.06/4.71 (m_main_v_state2(s218, c_t2)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17647, 17604, 17536])).
% 6.06/4.71 tff(17649,plain,
% 6.06/4.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17650,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17651,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s218, c_n2)) | (~m_main_v_state2(s218, c_t2))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17650, 17649])).
% 6.06/4.71 tff(17652,plain,
% 6.06/4.71 (~m_main_v_state2(s218, c_n2)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17651, 10, 17648])).
% 6.06/4.71 tff(17653,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s218, c_n2) | (~node4(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s218, c_n2) | (~node4(s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17654,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s218, c_n2) | (~node4(s218)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17655,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s218, c_n2) | (~node4(s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17654, 17653])).
% 6.06/4.71 tff(17656,plain,
% 6.06/4.71 (~node4(s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17655, 162, 17652])).
% 6.06/4.71 tff(17657,plain,
% 6.06/4.71 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17658,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17659,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s218, c_t2)) | (~m_main_v_state2(s218, c_c2))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17658, 17657])).
% 6.06/4.71 tff(17660,plain,
% 6.06/4.71 (~m_main_v_state2(s218, c_c2)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17659, 173, 17648])).
% 6.06/4.71 tff(17661,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s218, c_c2) | (~node3(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s218, c_c2) | (~node3(s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17662,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s218, c_c2) | (~node3(s218)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17663,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s218, c_c2) | (~node3(s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17662, 17661])).
% 6.06/4.71 tff(17664,plain,
% 6.06/4.71 (~node3(s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17663, 184, 17660])).
% 6.06/4.71 tff(17665,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s218, c_n2) | (~node2(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s218, c_n2) | (~node2(s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17666,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s218, c_n2) | (~node2(s218)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17667,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s218, c_n2) | (~node2(s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 6.06/4.71 tff(17668,plain,
% 6.06/4.71 (~node2(s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17667, 195, 17652])).
% 6.06/4.71 tff(17669,plain,
% 6.06/4.71 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17670,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17671,plain,
% 6.06/4.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s218, c_n1)) | (~m_main_v_state1(s218, c_c1))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17670, 17669])).
% 6.06/4.71 tff(17672,plain,
% 6.06/4.71 (~m_main_v_state1(s218, c_n1)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17671, 449, 17631])).
% 6.06/4.71 tff(17673,plain,
% 6.06/4.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s218, c_n1) | (~node1(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s218, c_n1) | (~node1(s218)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17674,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s218, c_n1) | (~node1(s218)))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17675,plain,
% 6.06/4.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s218, c_n1) | (~node1(s218))),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 6.06/4.71 tff(17676,plain,
% 6.06/4.71 (~node1(s218)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17675, 249, 17672])).
% 6.06/4.71 tff(17677,plain,
% 6.06/4.71 (succ(s218, s219) <=> succ(s218, s219)),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17678,axiom,(succ(s218, s219)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound219')).
% 6.06/4.71 tff(17679,plain,
% 6.06/4.71 (succ(s218, s219)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 6.06/4.71 tff(17680,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17681,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17682,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17681, 17680])).
% 6.06/4.71 tff(17683,plain,
% 6.06/4.71 (trans(s218, s219)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17682, 17679, 57])).
% 6.06/4.71 tff(17684,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s218, s219)) | node7(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s218, s219)) | node7(s218, s219))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17685,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s218, s219)) | node7(s218, s219))),
% 6.06/4.71 inference(quant_inst,[status(thm)],[])).
% 6.06/4.71 tff(17686,plain,
% 6.06/4.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s218, s219)) | node7(s218, s219)),
% 6.06/4.71 inference(modus_ponens,[status(thm)],[17685, 17684])).
% 6.06/4.71 tff(17687,plain,
% 6.06/4.71 (node7(s218, s219)),
% 6.06/4.71 inference(unit_resolution,[status(thm)],[17686, 217, 17683])).
% 6.06/4.71 tff(17688,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17689,plain,
% 6.06/4.71 (((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1)) <=> (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 6.06/4.71 inference(rewrite,[status(thm)],[])).
% 6.06/4.71 tff(17690,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, 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(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219))))),
% 6.06/4.71 inference(monotonicity,[status(thm)],[17689])).
% 6.06/4.71 tff(17691,plain,
% 6.06/4.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, 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(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)))),
% 6.06/4.72 inference(transitivity,[status(thm)],[17690, 17688])).
% 6.06/4.72 tff(17692,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219)) | m_main_v_state1(s219, c_n1))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17693,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218) | (~node7(s218, s219))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 6.06/4.72 tff(17694,plain,
% 6.06/4.72 (m_main_v_state1(s219, c_n1) | (~m_main_v_state1(s218, c_c1)) | node1(s218) | node2(s218) | node3(s218) | node4(s218) | node5(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17693, 478, 17687])).
% 6.06/4.72 tff(17695,plain,
% 6.06/4.72 (m_main_v_state1(s219, c_n1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17694, 17676, 17631, 17668, 17664, 17656, 17639])).
% 6.06/4.72 tff(17696,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s217, c_t2) | (~node15(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s217, c_t2) | (~node15(s217)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17697,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s217, c_t2) | (~node15(s217)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17698,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s217, c_t2) | (~node15(s217))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 6.06/4.72 tff(17699,plain,
% 6.06/4.72 (~node15(s217)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17698, 21, 17608])).
% 6.06/4.72 tff(17700,plain,
% 6.06/4.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s217, s218)) | node18(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s217, s218)) | node18(s217, s218))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17701,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s217, s218)) | node18(s217, s218))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17702,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s217, s218)) | node18(s217, s218)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 6.06/4.72 tff(17703,plain,
% 6.06/4.72 (node18(s217, s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17702, 71, 17619])).
% 6.06/4.72 tff(17704,plain,
% 6.06/4.72 (((~![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(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, 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(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17705,plain,
% 6.06/4.72 (((~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1)) <=> (node15(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17706,plain,
% 6.06/4.72 (((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, 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(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)))),
% 6.06/4.72 inference(monotonicity,[status(thm)],[17705])).
% 6.06/4.72 tff(17707,plain,
% 6.06/4.72 (((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, 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(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1))),
% 6.06/4.72 inference(transitivity,[status(thm)],[17706, 17704])).
% 6.06/4.72 tff(17708,plain,
% 6.06/4.72 ((~![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(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | node15(s217) | (~node18(s217, s218)) | m_main_v_turn(s218, c_1))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17709,plain,
% 6.06/4.72 ((~![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(s217) | (~node18(s217, s218)) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17708, 17707])).
% 6.06/4.72 tff(17710,plain,
% 6.06/4.72 (node15(s217) | (~m_main_v_state1(s217, c_t1)) | (~m_main_v_state2(s217, c_n2)) | m_main_v_turn(s218, c_1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17709, 863, 17703])).
% 6.06/4.72 tff(17711,plain,
% 6.06/4.72 (m_main_v_turn(s218, c_1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17710, 17699, 17536, 17604])).
% 6.06/4.72 tff(17712,plain,
% 6.06/4.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17713,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17714,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s218, c_1)) | (~m_main_v_turn(s218, c_2))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17713, 17712])).
% 6.06/4.72 tff(17715,plain,
% 6.06/4.72 (~m_main_v_turn(s218, c_2)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17714, 322, 17711])).
% 6.06/4.72 tff(17716,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s218, c_2) | (~node12(s218)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s218, c_2) | (~node12(s218)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17717,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s218, c_2) | (~node12(s218)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17718,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s218, c_2) | (~node12(s218))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 6.06/4.72 tff(17719,plain,
% 6.06/4.72 (~node12(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17718, 350, 17715])).
% 6.06/4.72 tff(17720,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s218, c_n2) | (~node8(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s218, c_n2) | (~node8(s218)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17721,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s218, c_n2) | (~node8(s218)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17722,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s218, c_n2) | (~node8(s218))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 6.06/4.72 tff(17723,plain,
% 6.06/4.72 (~node8(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17722, 383, 17652])).
% 6.06/4.72 tff(17724,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s218, c_n2) | (~node9(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s218, c_n2) | (~node9(s218)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17725,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s218, c_n2) | (~node9(s218)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17726,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s218, c_n2) | (~node9(s218))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 6.06/4.72 tff(17727,plain,
% 6.06/4.72 (~node9(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17726, 311, 17652])).
% 6.06/4.72 tff(17728,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s218, c_n2) | (~node10(s218)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s218, c_n2) | (~node10(s218)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17729,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s218, c_n2) | (~node10(s218)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17730,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s218, c_n2) | (~node10(s218))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17729, 17728])).
% 6.06/4.72 tff(17731,plain,
% 6.06/4.72 (~node10(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17730, 372, 17652])).
% 6.06/4.72 tff(17732,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s218, c_n1) | (~node11(s218)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s218, c_n1) | (~node11(s218)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17733,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s218, c_n1) | (~node11(s218)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17734,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s218, c_n1) | (~node11(s218))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 6.06/4.72 tff(17735,plain,
% 6.06/4.72 (~node11(s218)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17734, 361, 17672])).
% 6.06/4.72 tff(17736,plain,
% 6.06/4.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s218, s219)) | node14(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s218, s219)) | node14(s218, s219))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17737,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s218, s219)) | node14(s218, s219))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17738,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s218, s219)) | node14(s218, s219)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 6.06/4.72 tff(17739,plain,
% 6.06/4.72 (node14(s218, s219)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17738, 130, 17683])).
% 6.06/4.72 tff(17740,plain,
% 6.06/4.72 (((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))) <=> ((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17741,plain,
% 6.06/4.72 ((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17742,plain,
% 6.06/4.72 ((~![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(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219) | (~node14(s218, s219))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 6.06/4.72 tff(17743,plain,
% 6.06/4.72 (m_main_v_state2(s218, c_c2) | node9(s218) | node8(s218) | node10(s218) | node11(s218) | node12(s218) | node13(s218, s219)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17742, 401, 17739])).
% 6.06/4.72 tff(17744,plain,
% 6.06/4.72 (node13(s218, s219)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17743, 17735, 17660, 17731, 17727, 17723, 17719])).
% 6.06/4.72 tff(17745,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17746,plain,
% 6.06/4.72 (((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2)) <=> ((~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17747,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, 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(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219))))),
% 6.06/4.72 inference(monotonicity,[status(thm)],[17746])).
% 6.06/4.72 tff(17748,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, 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(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219)))),
% 6.06/4.72 inference(transitivity,[status(thm)],[17747, 17745])).
% 6.06/4.72 tff(17749,plain,
% 6.06/4.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s218, s219)) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17750,plain,
% 6.06/4.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s218, c_t2)) | m_main_v_state2(s219, c_t2) | (~node13(s218, s219))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 6.06/4.72 tff(17751,plain,
% 6.06/4.72 (m_main_v_state2(s219, c_t2)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17750, 563, 17648, 17744])).
% 6.06/4.72 tff(17752,plain,
% 6.06/4.72 (succ(s219, s220) <=> succ(s219, s220)),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17753,axiom,(succ(s219, s220)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound220')).
% 6.06/4.72 tff(17754,plain,
% 6.06/4.72 (succ(s219, s220)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 6.06/4.72 tff(17755,plain,
% 6.06/4.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17756,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17757,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 6.06/4.72 tff(17758,plain,
% 6.06/4.72 (trans(s219, s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17757, 17754, 57])).
% 6.06/4.72 tff(17759,plain,
% 6.06/4.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s219, s220)) | node7(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s219, s220)) | node7(s219, s220))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17760,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s219, s220)) | node7(s219, s220))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17761,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s219, s220)) | node7(s219, s220)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 6.06/4.72 tff(17762,plain,
% 6.06/4.72 (node7(s219, s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17761, 217, 17758])).
% 6.06/4.72 tff(17763,plain,
% 6.06/4.72 (((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, 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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17764,plain,
% 6.06/4.72 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17765,plain,
% 6.06/4.72 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node7(s219, s220)) | m_main_v_state1(s220, c_t1)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 6.06/4.72 tff(17766,plain,
% 6.06/4.72 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_state1(s220, c_t1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17765, 598, 17762])).
% 6.06/4.72 tff(17767,plain,
% 6.06/4.72 (m_main_v_state1(s220, c_t1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17766, 17751, 17695])).
% 6.06/4.72 tff(17768,plain,
% 6.06/4.72 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17769,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17770,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s220, c_n1)) | (~m_main_v_state1(s220, c_t1))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17769, 17768])).
% 6.06/4.72 tff(17771,plain,
% 6.06/4.72 (~m_main_v_state1(s220, c_n1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17770, 35, 17767])).
% 6.06/4.72 tff(17772,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s220, c_n1) | (~node1(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s220, c_n1) | (~node1(s220)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17773,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s220, c_n1) | (~node1(s220)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17774,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s220, c_n1) | (~node1(s220))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17773, 17772])).
% 6.06/4.72 tff(17775,plain,
% 6.06/4.72 (~node1(s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17774, 249, 17771])).
% 6.06/4.72 tff(17776,plain,
% 6.06/4.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s219, s220)) | node18(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s219, s220)) | node18(s219, s220))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17777,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s219, s220)) | node18(s219, s220))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17778,plain,
% 6.06/4.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s219, s220)) | node18(s219, s220)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 6.06/4.72 tff(17779,plain,
% 6.06/4.72 (node18(s219, s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17778, 71, 17758])).
% 6.06/4.72 tff(17780,plain,
% 6.06/4.72 (((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, 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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17781,plain,
% 6.06/4.72 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17782,plain,
% 6.06/4.72 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | (~node18(s219, s220)) | m_main_v_turn(s220, c_2)),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17781, 17780])).
% 6.06/4.72 tff(17783,plain,
% 6.06/4.72 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | m_main_v_turn(s220, c_2)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17782, 625, 17779])).
% 6.06/4.72 tff(17784,plain,
% 6.06/4.72 (m_main_v_turn(s220, c_2)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17783, 17751, 17695])).
% 6.06/4.72 tff(17785,plain,
% 6.06/4.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17786,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17787,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s220, c_1)) | (~m_main_v_turn(s220, c_2))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 6.06/4.72 tff(17788,plain,
% 6.06/4.72 (~m_main_v_turn(s220, c_1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17787, 322, 17784])).
% 6.06/4.72 tff(17789,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s220, c_1) | (~node5(s220)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s220, c_1) | (~node5(s220)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17790,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s220, c_1) | (~node5(s220)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17791,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s220, c_1) | (~node5(s220))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 6.06/4.72 tff(17792,plain,
% 6.06/4.72 (~node5(s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17791, 641, 17788])).
% 6.06/4.72 tff(17793,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s220, c_n1) | (~node2(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s220, c_n1) | (~node2(s220)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17794,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s220, c_n1) | (~node2(s220)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17795,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s220, c_n1) | (~node2(s220))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 6.06/4.72 tff(17796,plain,
% 6.06/4.72 (~node2(s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17795, 652, 17771])).
% 6.06/4.72 tff(17797,plain,
% 6.06/4.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s220, c_n1) | (~node3(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s220, c_n1) | (~node3(s220)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17798,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s220, c_n1) | (~node3(s220)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17799,plain,
% 6.06/4.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s220, c_n1) | (~node3(s220))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 6.06/4.72 tff(17800,plain,
% 6.06/4.72 (~node3(s220)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17799, 663, 17771])).
% 6.06/4.72 tff(17801,plain,
% 6.06/4.72 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17802,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17803,plain,
% 6.06/4.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s220, c_t1)) | (~m_main_v_state1(s220, c_c1))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 6.06/4.72 tff(17804,plain,
% 6.06/4.72 (~m_main_v_state1(s220, c_c1)),
% 6.06/4.72 inference(unit_resolution,[status(thm)],[17803, 289, 17767])).
% 6.06/4.72 tff(17805,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17806,plain,
% 6.06/4.72 (((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2))) <=> (m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 6.06/4.72 inference(rewrite,[status(thm)],[])).
% 6.06/4.72 tff(17807,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, 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(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219))))),
% 6.06/4.72 inference(monotonicity,[status(thm)],[17806])).
% 6.06/4.72 tff(17808,plain,
% 6.06/4.72 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, 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(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219)))),
% 6.06/4.72 inference(transitivity,[status(thm)],[17807, 17805])).
% 6.06/4.72 tff(17809,plain,
% 6.06/4.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s218, s219)) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)))),
% 6.06/4.72 inference(quant_inst,[status(thm)],[])).
% 6.06/4.72 tff(17810,plain,
% 6.06/4.72 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s218, c_n2) | (~m_main_v_state2(s219, c_n2)) | (~node13(s218, s219))),
% 6.06/4.72 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 6.06/4.73 tff(17811,plain,
% 6.06/4.73 (~m_main_v_state2(s219, c_n2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17810, 416, 17652, 17744])).
% 6.06/4.73 tff(17812,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s219, c_n2) | (~node9(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s219, c_n2) | (~node9(s219)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17813,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s219, c_n2) | (~node9(s219)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17814,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s219, c_n2) | (~node9(s219))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17813, 17812])).
% 6.06/4.73 tff(17815,plain,
% 6.06/4.73 (~node9(s219)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17814, 311, 17811])).
% 6.06/4.73 tff(17816,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s219, c_n2) | (~node10(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s219, c_n2) | (~node10(s219)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17817,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s219, c_n2) | (~node10(s219)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17818,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s219, c_n2) | (~node10(s219))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 6.06/4.73 tff(17819,plain,
% 6.06/4.73 (~node10(s219)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17818, 372, 17811])).
% 6.06/4.73 tff(17820,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s219, c_n2) | (~node8(s219)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s219, c_n2) | (~node8(s219)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17821,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s219, c_n2) | (~node8(s219)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17822,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s219, c_n2) | (~node8(s219))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17821, 17820])).
% 6.06/4.73 tff(17823,plain,
% 6.06/4.73 (~node8(s219)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17822, 383, 17811])).
% 6.06/4.73 tff(17824,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s219, s220)) | node14(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s219, s220)) | node14(s219, s220))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17825,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s219, s220)) | node14(s219, s220))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17826,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s219, s220)) | node14(s219, s220)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 6.06/4.73 tff(17827,plain,
% 6.06/4.73 (node14(s219, s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17826, 130, 17758])).
% 6.06/4.73 tff(17828,plain,
% 6.06/4.73 (((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, 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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17829,plain,
% 6.06/4.73 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17830,plain,
% 6.06/4.73 ((~![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(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | (~node14(s219, s220)) | m_main_v_state2(s220, c_c2)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17829, 17828])).
% 6.06/4.73 tff(17831,plain,
% 6.06/4.73 ((~m_main_v_state1(s219, c_n1)) | (~m_main_v_state2(s219, c_t2)) | node9(s219) | node8(s219) | node10(s219) | m_main_v_state2(s220, c_c2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17830, 704, 17827])).
% 6.06/4.73 tff(17832,plain,
% 6.06/4.73 (m_main_v_state2(s220, c_c2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17831, 17823, 17695, 17751, 17819, 17815])).
% 6.06/4.73 tff(17833,plain,
% 6.06/4.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17834,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17835,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_n2)) | (~m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 6.06/4.73 tff(17836,plain,
% 6.06/4.73 (~m_main_v_state2(s220, c_n2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17835, 716, 17832])).
% 6.06/4.73 tff(17837,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s220, c_n2) | (~node4(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s220, c_n2) | (~node4(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17838,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s220, c_n2) | (~node4(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17839,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s220, c_n2) | (~node4(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 6.06/4.73 tff(17840,plain,
% 6.06/4.73 (~node4(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17839, 162, 17836])).
% 6.06/4.73 tff(17841,plain,
% 6.06/4.73 (succ(s220, s221) <=> succ(s220, s221)),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17842,axiom,(succ(s220, s221)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound221')).
% 6.06/4.73 tff(17843,plain,
% 6.06/4.73 (succ(s220, s221)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 6.06/4.73 tff(17844,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17845,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17846,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17845, 17844])).
% 6.06/4.73 tff(17847,plain,
% 6.06/4.73 (trans(s220, s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17846, 17843, 57])).
% 6.06/4.73 tff(17848,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s220, s221)) | node7(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s220, s221)) | node7(s220, s221))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17849,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s220, s221)) | node7(s220, s221))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17850,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s220, s221)) | node7(s220, s221)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 6.06/4.73 tff(17851,plain,
% 6.06/4.73 (node7(s220, s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17850, 217, 17847])).
% 6.06/4.73 tff(17852,plain,
% 6.06/4.73 (((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))) <=> ((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17853,plain,
% 6.06/4.73 ((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17854,plain,
% 6.06/4.73 ((~![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(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221) | (~node7(s220, s221))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 6.06/4.73 tff(17855,plain,
% 6.06/4.73 (m_main_v_state1(s220, c_c1) | node1(s220) | node2(s220) | node3(s220) | node4(s220) | node5(s220) | node6(s220, s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17854, 745, 17851])).
% 6.06/4.73 tff(17856,plain,
% 6.06/4.73 (node6(s220, s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17855, 17840, 17804, 17800, 17796, 17792, 17775])).
% 6.06/4.73 tff(17857,plain,
% 6.06/4.73 (((~![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(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17858,plain,
% 6.06/4.73 (((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1)) <=> ((~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17859,plain,
% 6.06/4.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, 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(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221))))),
% 6.06/4.73 inference(monotonicity,[status(thm)],[17858])).
% 6.06/4.73 tff(17860,plain,
% 6.06/4.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, 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(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221)))),
% 6.06/4.73 inference(transitivity,[status(thm)],[17859, 17857])).
% 6.06/4.73 tff(17861,plain,
% 6.06/4.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s220, s221)) | (~m_main_v_state1(s220, c_t1)) | m_main_v_state1(s221, c_t1))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17862,plain,
% 6.06/4.73 ((~![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(s220, c_t1)) | m_main_v_state1(s221, c_t1) | (~node6(s220, s221))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17861, 17860])).
% 6.06/4.73 tff(17863,plain,
% 6.06/4.73 (m_main_v_state1(s221, c_t1)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17862, 760, 17767, 17856])).
% 6.06/4.73 tff(17864,plain,
% 6.06/4.73 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17865,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17866,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s220, c_t2)) | (~m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17865, 17864])).
% 6.06/4.73 tff(17867,plain,
% 6.06/4.73 (~m_main_v_state2(s220, c_t2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17866, 173, 17832])).
% 6.06/4.73 tff(17868,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s220, c_t2) | (~node12(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s220, c_t2) | (~node12(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17869,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s220, c_t2) | (~node12(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17870,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s220, c_t2) | (~node12(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 6.06/4.73 tff(17871,plain,
% 6.06/4.73 (~node12(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17870, 778, 17867])).
% 6.06/4.73 tff(17872,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s220, c_n1) | (~node11(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s220, c_n1) | (~node11(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17873,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s220, c_n1) | (~node11(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17874,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s220, c_n1) | (~node11(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17873, 17872])).
% 6.06/4.73 tff(17875,plain,
% 6.06/4.73 (~node11(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17874, 361, 17771])).
% 6.06/4.73 tff(17876,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s220, c_c1) | (~node10(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s220, c_c1) | (~node10(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17877,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s220, c_c1) | (~node10(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17878,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s220, c_c1) | (~node10(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 6.06/4.73 tff(17879,plain,
% 6.06/4.73 (~node10(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17878, 793, 17804])).
% 6.06/4.73 tff(17880,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s220, c_n1) | (~node9(s220)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s220, c_n1) | (~node9(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17881,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s220, c_n1) | (~node9(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17882,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s220, c_n1) | (~node9(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 6.06/4.73 tff(17883,plain,
% 6.06/4.73 (~node9(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17882, 804, 17771])).
% 6.06/4.73 tff(17884,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s220, c_n2) | (~node8(s220)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s220, c_n2) | (~node8(s220)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17885,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s220, c_n2) | (~node8(s220)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17886,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s220, c_n2) | (~node8(s220))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 6.06/4.73 tff(17887,plain,
% 6.06/4.73 (~node8(s220)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17886, 383, 17836])).
% 6.06/4.73 tff(17888,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s220, s221)) | node14(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s220, s221)) | node14(s220, s221))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17889,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s220, s221)) | node14(s220, s221))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17890,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s220, s221)) | node14(s220, s221)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 6.06/4.73 tff(17891,plain,
% 6.06/4.73 (node14(s220, s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17890, 130, 17847])).
% 6.06/4.73 tff(17892,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, 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(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17893,plain,
% 6.06/4.73 (((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2)) <=> (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17894,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, 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(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2))))),
% 6.06/4.73 inference(monotonicity,[status(thm)],[17893])).
% 6.06/4.73 tff(17895,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, 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(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2)))),
% 6.06/4.73 inference(transitivity,[status(thm)],[17894, 17892])).
% 6.06/4.73 tff(17896,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s220, c_c2)) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | m_main_v_state2(s221, c_n2))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17897,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~node14(s220, s221)) | (~m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 6.06/4.73 tff(17898,plain,
% 6.06/4.73 (m_main_v_state2(s221, c_n2) | node9(s220) | node8(s220) | node10(s220) | node11(s220) | node12(s220) | (~m_main_v_state2(s220, c_c2))),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17897, 826, 17891])).
% 6.06/4.73 tff(17899,plain,
% 6.06/4.73 (m_main_v_state2(s221, c_n2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17898, 17887, 17832, 17883, 17879, 17875, 17871])).
% 6.06/4.73 tff(17900,plain,
% 6.06/4.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17901,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17902,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_t2))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17901, 17900])).
% 6.06/4.73 tff(17903,plain,
% 6.06/4.73 (~m_main_v_state2(s221, c_t2)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17902, 10, 17899])).
% 6.06/4.73 tff(17904,plain,
% 6.06/4.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s221, c_t2) | (~node15(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s221, c_t2) | (~node15(s221)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17905,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s221, c_t2) | (~node15(s221)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17906,plain,
% 6.06/4.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s221, c_t2) | (~node15(s221))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 6.06/4.73 tff(17907,plain,
% 6.06/4.73 (~node15(s221)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17906, 21, 17903])).
% 6.06/4.73 tff(17908,plain,
% 6.06/4.73 (succ(s221, s222) <=> succ(s221, s222)),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17909,axiom,(succ(s221, s222)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound222')).
% 6.06/4.73 tff(17910,plain,
% 6.06/4.73 (succ(s221, s222)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 6.06/4.73 tff(17911,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17912,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17913,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 6.06/4.73 tff(17914,plain,
% 6.06/4.73 (trans(s221, s222)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17913, 17910, 57])).
% 6.06/4.73 tff(17915,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s221, s222)) | node18(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s221, s222)) | node18(s221, s222))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17916,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s221, s222)) | node18(s221, s222))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17917,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s221, s222)) | node18(s221, s222)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17916, 17915])).
% 6.06/4.73 tff(17918,plain,
% 6.06/4.73 (node18(s221, s222)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17917, 71, 17914])).
% 6.06/4.73 tff(17919,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_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(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, 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(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17920,plain,
% 6.06/4.73 (((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1)) <=> (node15(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17921,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, 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(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)))),
% 6.06/4.73 inference(monotonicity,[status(thm)],[17920])).
% 6.06/4.73 tff(17922,plain,
% 6.06/4.73 (((~![Y: $i, X: $i] : ((~m_main_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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, 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(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1))),
% 6.06/4.73 inference(transitivity,[status(thm)],[17921, 17919])).
% 6.06/4.73 tff(17923,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~m_main_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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node15(s221) | (~node18(s221, s222)) | m_main_v_turn(s222, c_1))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17924,plain,
% 6.06/4.73 ((~![Y: $i, X: $i] : ((~m_main_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(s221) | (~node18(s221, s222)) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 6.06/4.73 tff(17925,plain,
% 6.06/4.73 (node15(s221) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_turn(s222, c_1)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17924, 863, 17918])).
% 6.06/4.73 tff(17926,plain,
% 6.06/4.73 (m_main_v_turn(s222, c_1)),
% 6.06/4.73 inference(unit_resolution,[status(thm)],[17925, 17907, 17899, 17863])).
% 6.06/4.73 tff(17927,plain,
% 6.06/4.73 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))),
% 6.06/4.73 inference(rewrite,[status(thm)],[])).
% 6.06/4.73 tff(17928,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2)))),
% 6.06/4.73 inference(quant_inst,[status(thm)],[])).
% 6.06/4.73 tff(17929,plain,
% 6.06/4.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s222, c_1)) | (~m_main_v_turn(s222, c_2))),
% 6.06/4.73 inference(modus_ponens,[status(thm)],[17928, 17927])).
% 6.06/4.74 tff(17930,plain,
% 6.06/4.74 (~m_main_v_turn(s222, c_2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17929, 322, 17926])).
% 6.06/4.74 tff(17931,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s222, c_2) | (~node12(s222)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s222, c_2) | (~node12(s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17932,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s222, c_2) | (~node12(s222)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17933,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s222, c_2) | (~node12(s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17932, 17931])).
% 6.06/4.74 tff(17934,plain,
% 6.06/4.74 (~node12(s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17933, 350, 17930])).
% 6.06/4.74 tff(17935,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s221, s222)) | node14(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s221, s222)) | node14(s221, s222))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17936,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s221, s222)) | node14(s221, s222))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17937,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s221, s222)) | node14(s221, s222)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 6.06/4.74 tff(17938,plain,
% 6.06/4.74 (node14(s221, s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17937, 130, 17914])).
% 6.06/4.74 tff(17939,plain,
% 6.06/4.74 (((~![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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, 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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17940,plain,
% 6.06/4.74 ((~![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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17941,plain,
% 6.06/4.74 ((~![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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | (~node14(s221, s222)) | m_main_v_state2(s222, c_t2)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17940, 17939])).
% 6.06/4.74 tff(17942,plain,
% 6.06/4.74 ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state2(s222, c_t2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17941, 893, 17938])).
% 6.06/4.74 tff(17943,plain,
% 6.06/4.74 (m_main_v_state2(s222, c_t2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17942, 17863, 17899])).
% 6.06/4.74 tff(17944,plain,
% 6.06/4.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17945,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17946,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s222, c_n2)) | (~m_main_v_state2(s222, c_t2))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17945, 17944])).
% 6.06/4.74 tff(17947,plain,
% 6.06/4.74 (~m_main_v_state2(s222, c_n2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17946, 10, 17943])).
% 6.06/4.74 tff(17948,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s222, c_n2) | (~node8(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s222, c_n2) | (~node8(s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17949,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s222, c_n2) | (~node8(s222)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17950,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s222, c_n2) | (~node8(s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17949, 17948])).
% 6.06/4.74 tff(17951,plain,
% 6.06/4.74 (~node8(s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17950, 383, 17947])).
% 6.06/4.74 tff(17952,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s222, c_n2) | (~node9(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s222, c_n2) | (~node9(s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17953,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s222, c_n2) | (~node9(s222)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17954,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s222, c_n2) | (~node9(s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 6.06/4.74 tff(17955,plain,
% 6.06/4.74 (~node9(s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17954, 311, 17947])).
% 6.06/4.74 tff(17956,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s222, c_n2) | (~node10(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s222, c_n2) | (~node10(s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17957,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s222, c_n2) | (~node10(s222)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17958,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s222, c_n2) | (~node10(s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17957, 17956])).
% 6.06/4.74 tff(17959,plain,
% 6.06/4.74 (~node10(s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17958, 372, 17947])).
% 6.06/4.74 tff(17960,plain,
% 6.06/4.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17961,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17962,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s222, c_t2)) | (~m_main_v_state2(s222, c_c2))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 6.06/4.74 tff(17963,plain,
% 6.06/4.74 (~m_main_v_state2(s222, c_c2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17962, 173, 17943])).
% 6.06/4.74 tff(17964,plain,
% 6.06/4.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17965,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17966,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s221, c_n2)) | (~m_main_v_state2(s221, c_c2))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17965, 17964])).
% 6.06/4.74 tff(17967,plain,
% 6.06/4.74 (~m_main_v_state2(s221, c_c2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17966, 716, 17899])).
% 6.06/4.74 tff(17968,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s221, c_c2) | (~node3(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s221, c_c2) | (~node3(s221)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17969,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s221, c_c2) | (~node3(s221)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17970,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s221, c_c2) | (~node3(s221))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 6.06/4.74 tff(17971,plain,
% 6.06/4.74 (~node3(s221)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17970, 184, 17967])).
% 6.06/4.74 tff(17972,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17973,plain,
% 6.06/4.74 (((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1))) <=> (m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17974,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, 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(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221))))),
% 6.06/4.74 inference(monotonicity,[status(thm)],[17973])).
% 6.06/4.74 tff(17975,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, 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(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221)))),
% 6.06/4.74 inference(transitivity,[status(thm)],[17974, 17972])).
% 6.06/4.74 tff(17976,plain,
% 6.06/4.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s220, s221)) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17977,plain,
% 6.06/4.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s220, c_n1) | (~m_main_v_state1(s221, c_n1)) | (~node6(s220, s221))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 6.06/4.74 tff(17978,plain,
% 6.06/4.74 (~m_main_v_state1(s221, c_n1)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17977, 936, 17771, 17856])).
% 6.06/4.74 tff(17979,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s221, c_n1) | (~node2(s221)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s221, c_n1) | (~node2(s221)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17980,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s221, c_n1) | (~node2(s221)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17981,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s221, c_n1) | (~node2(s221))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 6.06/4.74 tff(17982,plain,
% 6.06/4.74 (~node2(s221)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17981, 652, 17978])).
% 6.06/4.74 tff(17983,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s221, c_t2) | (~node1(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s221, c_t2) | (~node1(s221)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17984,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s221, c_t2) | (~node1(s221)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17985,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s221, c_t2) | (~node1(s221))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17984, 17983])).
% 6.06/4.74 tff(17986,plain,
% 6.06/4.74 (~node1(s221)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17985, 206, 17903])).
% 6.06/4.74 tff(17987,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s221, s222)) | node7(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s221, s222)) | node7(s221, s222))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17988,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s221, s222)) | node7(s221, s222))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17989,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s221, s222)) | node7(s221, s222)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 6.06/4.74 tff(17990,plain,
% 6.06/4.74 (node7(s221, s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17989, 217, 17914])).
% 6.06/4.74 tff(17991,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17992,plain,
% 6.06/4.74 (((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1)) <=> ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(17993,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, 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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222))))),
% 6.06/4.74 inference(monotonicity,[status(thm)],[17992])).
% 6.06/4.74 tff(17994,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, 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(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)))),
% 6.06/4.74 inference(transitivity,[status(thm)],[17993, 17991])).
% 6.06/4.74 tff(17995,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222)) | m_main_v_state1(s222, c_c1))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(17996,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221) | (~node7(s221, s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[17995, 17994])).
% 6.06/4.74 tff(17997,plain,
% 6.06/4.74 ((~m_main_v_state1(s221, c_t1)) | (~m_main_v_state2(s221, c_n2)) | m_main_v_state1(s222, c_c1) | node1(s221) | node2(s221) | node3(s221)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17996, 965, 17990])).
% 6.06/4.74 tff(17998,plain,
% 6.06/4.74 (m_main_v_state1(s222, c_c1)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[17997, 17986, 17899, 17863, 17982, 17971])).
% 6.06/4.74 tff(17999,plain,
% 6.06/4.74 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18000,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18001,plain,
% 6.06/4.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_n1)) | (~m_main_v_state1(s222, c_c1))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18000, 17999])).
% 6.06/4.74 tff(18002,plain,
% 6.06/4.74 (~m_main_v_state1(s222, c_n1)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18001, 449, 17998])).
% 6.06/4.74 tff(18003,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s222, c_n1) | (~node11(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s222, c_n1) | (~node11(s222)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18004,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s222, c_n1) | (~node11(s222)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18005,plain,
% 6.06/4.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s222, c_n1) | (~node11(s222))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18004, 18003])).
% 6.06/4.74 tff(18006,plain,
% 6.06/4.74 (~node11(s222)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18005, 361, 18002])).
% 6.06/4.74 tff(18007,plain,
% 6.06/4.74 (succ(s222, s223) <=> succ(s222, s223)),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18008,axiom,(succ(s222, s223)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound223')).
% 6.06/4.74 tff(18009,plain,
% 6.06/4.74 (succ(s222, s223)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 6.06/4.74 tff(18010,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18011,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18012,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 6.06/4.74 tff(18013,plain,
% 6.06/4.74 (trans(s222, s223)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18012, 18009, 57])).
% 6.06/4.74 tff(18014,plain,
% 6.06/4.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s222, s223)) | node14(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s222, s223)) | node14(s222, s223))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18015,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s222, s223)) | node14(s222, s223))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18016,plain,
% 6.06/4.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s222, s223)) | node14(s222, s223)),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 6.06/4.74 tff(18017,plain,
% 6.06/4.74 (node14(s222, s223)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18016, 130, 18013])).
% 6.06/4.74 tff(18018,plain,
% 6.06/4.74 (((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))) <=> ((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18019,plain,
% 6.06/4.74 ((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18020,plain,
% 6.06/4.74 ((~![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(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223) | (~node14(s222, s223))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 6.06/4.74 tff(18021,plain,
% 6.06/4.74 (m_main_v_state2(s222, c_c2) | node9(s222) | node8(s222) | node10(s222) | node11(s222) | node12(s222) | node13(s222, s223)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18020, 401, 18017])).
% 6.06/4.74 tff(18022,plain,
% 6.06/4.74 (node13(s222, s223)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18021, 18006, 17963, 17959, 17955, 17951, 17934])).
% 6.06/4.74 tff(18023,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18024,plain,
% 6.06/4.74 (((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2))) <=> (m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 6.06/4.74 inference(rewrite,[status(thm)],[])).
% 6.06/4.74 tff(18025,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, 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(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223))))),
% 6.06/4.74 inference(monotonicity,[status(thm)],[18024])).
% 6.06/4.74 tff(18026,plain,
% 6.06/4.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, 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(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223)))),
% 6.06/4.74 inference(transitivity,[status(thm)],[18025, 18023])).
% 6.06/4.74 tff(18027,plain,
% 6.06/4.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s222, s223)) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)))),
% 6.06/4.74 inference(quant_inst,[status(thm)],[])).
% 6.06/4.74 tff(18028,plain,
% 6.06/4.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s222, c_n2) | (~m_main_v_state2(s223, c_n2)) | (~node13(s222, s223))),
% 6.06/4.74 inference(modus_ponens,[status(thm)],[18027, 18026])).
% 6.06/4.74 tff(18029,plain,
% 6.06/4.74 (~m_main_v_state2(s223, c_n2)),
% 6.06/4.74 inference(unit_resolution,[status(thm)],[18028, 416, 17947, 18022])).
% 6.06/4.74 tff(18030,plain,
% 6.06/4.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s223, c_n2) | (~node9(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s223, c_n2) | (~node9(s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18031,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s223, c_n2) | (~node9(s223)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18032,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s223, c_n2) | (~node9(s223))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 6.06/4.75 tff(18033,plain,
% 6.06/4.75 (~node9(s223)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18032, 311, 18029])).
% 6.06/4.75 tff(18034,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s223, c_n2) | (~node10(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s223, c_n2) | (~node10(s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18035,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s223, c_n2) | (~node10(s223)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18036,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s223, c_n2) | (~node10(s223))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 6.06/4.75 tff(18037,plain,
% 6.06/4.75 (~node10(s223)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18036, 372, 18029])).
% 6.06/4.75 tff(18038,plain,
% 6.06/4.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18039,plain,
% 6.06/4.75 (((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2)) <=> ((~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18040,plain,
% 6.06/4.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, 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(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223))))),
% 6.06/4.75 inference(monotonicity,[status(thm)],[18039])).
% 6.06/4.75 tff(18041,plain,
% 6.06/4.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, 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(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223)))),
% 6.06/4.75 inference(transitivity,[status(thm)],[18040, 18038])).
% 6.06/4.75 tff(18042,plain,
% 6.06/4.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s222, s223)) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18043,plain,
% 6.06/4.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s222, c_t2)) | m_main_v_state2(s223, c_t2) | (~node13(s222, s223))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 6.06/4.75 tff(18044,plain,
% 6.06/4.75 (m_main_v_state2(s223, c_t2)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18043, 563, 17943, 18022])).
% 6.06/4.75 tff(18045,plain,
% 6.06/4.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18046,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18047,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s222, c_t1)) | (~m_main_v_state1(s222, c_c1))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 6.06/4.75 tff(18048,plain,
% 6.06/4.75 (~m_main_v_state1(s222, c_t1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18047, 289, 17998])).
% 6.06/4.75 tff(18049,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s222, c_t1) | (~node5(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s222, c_t1) | (~node5(s222)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18050,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s222, c_t1) | (~node5(s222)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18051,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s222, c_t1) | (~node5(s222))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 6.06/4.75 tff(18052,plain,
% 6.06/4.75 (~node5(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18051, 300, 18048])).
% 6.06/4.75 tff(18053,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s222, c_n2) | (~node4(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s222, c_n2) | (~node4(s222)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18054,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s222, c_n2) | (~node4(s222)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18055,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s222, c_n2) | (~node4(s222))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 6.06/4.75 tff(18056,plain,
% 6.06/4.75 (~node4(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18055, 162, 17947])).
% 6.06/4.75 tff(18057,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s222, c_c2) | (~node3(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s222, c_c2) | (~node3(s222)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18058,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s222, c_c2) | (~node3(s222)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18059,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s222, c_c2) | (~node3(s222))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 6.06/4.75 tff(18060,plain,
% 6.06/4.75 (~node3(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18059, 184, 17963])).
% 6.06/4.75 tff(18061,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s222, c_n2) | (~node2(s222)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s222, c_n2) | (~node2(s222)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18062,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s222, c_n2) | (~node2(s222)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18063,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s222, c_n2) | (~node2(s222))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 6.06/4.75 tff(18064,plain,
% 6.06/4.75 (~node2(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18063, 195, 17947])).
% 6.06/4.75 tff(18065,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s222, c_n1) | (~node1(s222)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s222, c_n1) | (~node1(s222)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18066,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s222, c_n1) | (~node1(s222)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18067,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s222, c_n1) | (~node1(s222))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 6.06/4.75 tff(18068,plain,
% 6.06/4.75 (~node1(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18067, 249, 18002])).
% 6.06/4.75 tff(18069,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s222, s223)) | node7(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s222, s223)) | node7(s222, s223))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18070,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s222, s223)) | node7(s222, s223))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18071,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s222, s223)) | node7(s222, s223)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18070, 18069])).
% 6.06/4.75 tff(18072,plain,
% 6.06/4.75 (node7(s222, s223)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18071, 217, 18013])).
% 6.06/4.75 tff(18073,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18074,plain,
% 6.06/4.75 (((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1)) <=> (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18075,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, 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(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223))))),
% 6.06/4.75 inference(monotonicity,[status(thm)],[18074])).
% 6.06/4.75 tff(18076,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, 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(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)))),
% 6.06/4.75 inference(transitivity,[status(thm)],[18075, 18073])).
% 6.06/4.75 tff(18077,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223)) | m_main_v_state1(s223, c_n1))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18078,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222) | (~node7(s222, s223))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18077, 18076])).
% 6.06/4.75 tff(18079,plain,
% 6.06/4.75 (m_main_v_state1(s223, c_n1) | (~m_main_v_state1(s222, c_c1)) | node1(s222) | node2(s222) | node3(s222) | node4(s222) | node5(s222)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18078, 478, 18072])).
% 6.06/4.75 tff(18080,plain,
% 6.06/4.75 (m_main_v_state1(s223, c_n1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18079, 18068, 17998, 18064, 18060, 18056, 18052])).
% 6.06/4.75 tff(18081,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s223, c_n2) | (~node8(s223)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s223, c_n2) | (~node8(s223)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18082,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s223, c_n2) | (~node8(s223)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18083,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s223, c_n2) | (~node8(s223))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 6.06/4.75 tff(18084,plain,
% 6.06/4.75 (~node8(s223)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18083, 383, 18029])).
% 6.06/4.75 tff(18085,plain,
% 6.06/4.75 (succ(s223, s224) <=> succ(s223, s224)),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18086,axiom,(succ(s223, s224)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound224')).
% 6.06/4.75 tff(18087,plain,
% 6.06/4.75 (succ(s223, s224)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 6.06/4.75 tff(18088,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18089,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18090,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 6.06/4.75 tff(18091,plain,
% 6.06/4.75 (trans(s223, s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18090, 18087, 57])).
% 6.06/4.75 tff(18092,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s223, s224)) | node14(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s223, s224)) | node14(s223, s224))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18093,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s223, s224)) | node14(s223, s224))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18094,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s223, s224)) | node14(s223, s224)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18093, 18092])).
% 6.06/4.75 tff(18095,plain,
% 6.06/4.75 (node14(s223, s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18094, 130, 18091])).
% 6.06/4.75 tff(18096,plain,
% 6.06/4.75 (((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, 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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18097,plain,
% 6.06/4.75 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18098,plain,
% 6.06/4.75 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | (~node14(s223, s224)) | m_main_v_state2(s224, c_c2)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 6.06/4.75 tff(18099,plain,
% 6.06/4.75 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | node9(s223) | node8(s223) | node10(s223) | m_main_v_state2(s224, c_c2)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18098, 704, 18095])).
% 6.06/4.75 tff(18100,plain,
% 6.06/4.75 (m_main_v_state2(s224, c_c2)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18099, 18084, 18080, 18044, 18037, 18033])).
% 6.06/4.75 tff(18101,plain,
% 6.06/4.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18102,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18103,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_t2)) | (~m_main_v_state2(s224, c_c2))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18102, 18101])).
% 6.06/4.75 tff(18104,plain,
% 6.06/4.75 (~m_main_v_state2(s224, c_t2)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18103, 173, 18100])).
% 6.06/4.75 tff(18105,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s224, c_t2) | (~node12(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s224, c_t2) | (~node12(s224)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18106,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s224, c_t2) | (~node12(s224)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18107,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s224, c_t2) | (~node12(s224))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 6.06/4.75 tff(18108,plain,
% 6.06/4.75 (~node12(s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18107, 778, 18104])).
% 6.06/4.75 tff(18109,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s223, s224)) | node7(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s223, s224)) | node7(s223, s224))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18110,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s223, s224)) | node7(s223, s224))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18111,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s223, s224)) | node7(s223, s224)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 6.06/4.75 tff(18112,plain,
% 6.06/4.75 (node7(s223, s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18111, 217, 18091])).
% 6.06/4.75 tff(18113,plain,
% 6.06/4.75 (((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, 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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18114,plain,
% 6.06/4.75 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18115,plain,
% 6.06/4.75 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node7(s223, s224)) | m_main_v_state1(s224, c_t1)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 6.06/4.75 tff(18116,plain,
% 6.06/4.75 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_state1(s224, c_t1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18115, 598, 18112])).
% 6.06/4.75 tff(18117,plain,
% 6.06/4.75 (m_main_v_state1(s224, c_t1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18116, 18044, 18080])).
% 6.06/4.75 tff(18118,plain,
% 6.06/4.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18119,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18120,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s224, c_n1)) | (~m_main_v_state1(s224, c_t1))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18119, 18118])).
% 6.06/4.75 tff(18121,plain,
% 6.06/4.75 (~m_main_v_state1(s224, c_n1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18120, 35, 18117])).
% 6.06/4.75 tff(18122,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s224, c_n1) | (~node11(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s224, c_n1) | (~node11(s224)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18123,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s224, c_n1) | (~node11(s224)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18124,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s224, c_n1) | (~node11(s224))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 6.06/4.75 tff(18125,plain,
% 6.06/4.75 (~node11(s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18124, 361, 18121])).
% 6.06/4.75 tff(18126,plain,
% 6.06/4.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18127,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18128,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s224, c_t1)) | (~m_main_v_state1(s224, c_c1))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18127, 18126])).
% 6.06/4.75 tff(18129,plain,
% 6.06/4.75 (~m_main_v_state1(s224, c_c1)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18128, 289, 18117])).
% 6.06/4.75 tff(18130,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s224, c_c1) | (~node10(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s224, c_c1) | (~node10(s224)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18131,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s224, c_c1) | (~node10(s224)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18132,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s224, c_c1) | (~node10(s224))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 6.06/4.75 tff(18133,plain,
% 6.06/4.75 (~node10(s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18132, 793, 18129])).
% 6.06/4.75 tff(18134,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s224, c_n1) | (~node9(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s224, c_n1) | (~node9(s224)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18135,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s224, c_n1) | (~node9(s224)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18136,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s224, c_n1) | (~node9(s224))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 6.06/4.75 tff(18137,plain,
% 6.06/4.75 (~node9(s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18136, 804, 18121])).
% 6.06/4.75 tff(18138,plain,
% 6.06/4.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18139,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18140,plain,
% 6.06/4.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s224, c_n2)) | (~m_main_v_state2(s224, c_c2))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18139, 18138])).
% 6.06/4.75 tff(18141,plain,
% 6.06/4.75 (~m_main_v_state2(s224, c_n2)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18140, 716, 18100])).
% 6.06/4.75 tff(18142,plain,
% 6.06/4.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s224, c_n2) | (~node8(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s224, c_n2) | (~node8(s224)))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18143,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s224, c_n2) | (~node8(s224)))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18144,plain,
% 6.06/4.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s224, c_n2) | (~node8(s224))),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 6.06/4.75 tff(18145,plain,
% 6.06/4.75 (~node8(s224)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18144, 383, 18141])).
% 6.06/4.75 tff(18146,plain,
% 6.06/4.75 (succ(s224, s225) <=> succ(s224, s225)),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18147,axiom,(succ(s224, s225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound225')).
% 6.06/4.75 tff(18148,plain,
% 6.06/4.75 (succ(s224, s225)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 6.06/4.75 tff(18149,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18150,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18151,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 6.06/4.75 tff(18152,plain,
% 6.06/4.75 (trans(s224, s225)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18151, 18148, 57])).
% 6.06/4.75 tff(18153,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s224, s225)) | node14(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s224, s225)) | node14(s224, s225))),
% 6.06/4.75 inference(rewrite,[status(thm)],[])).
% 6.06/4.75 tff(18154,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s224, s225)) | node14(s224, s225))),
% 6.06/4.75 inference(quant_inst,[status(thm)],[])).
% 6.06/4.75 tff(18155,plain,
% 6.06/4.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s224, s225)) | node14(s224, s225)),
% 6.06/4.75 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 6.06/4.75 tff(18156,plain,
% 6.06/4.75 (node14(s224, s225)),
% 6.06/4.75 inference(unit_resolution,[status(thm)],[18155, 130, 18152])).
% 6.06/4.75 tff(18157,plain,
% 6.06/4.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, 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(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18158,plain,
% 6.06/4.76 (((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2)) <=> (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18159,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, 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(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2))))),
% 6.06/4.76 inference(monotonicity,[status(thm)],[18158])).
% 6.06/4.76 tff(18160,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, 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(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2)))),
% 6.06/4.76 inference(transitivity,[status(thm)],[18159, 18157])).
% 6.06/4.76 tff(18161,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s224, c_c2)) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | m_main_v_state2(s225, c_n2))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18162,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~node14(s224, s225)) | (~m_main_v_state2(s224, c_c2))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18161, 18160])).
% 6.06/4.76 tff(18163,plain,
% 6.06/4.76 (m_main_v_state2(s225, c_n2) | node9(s224) | node8(s224) | node10(s224) | node11(s224) | node12(s224) | (~m_main_v_state2(s224, c_c2))),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18162, 826, 18156])).
% 6.06/4.76 tff(18164,plain,
% 6.06/4.76 (m_main_v_state2(s225, c_n2)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18163, 18145, 18100, 18137, 18133, 18125, 18108])).
% 6.06/4.76 tff(18165,plain,
% 6.06/4.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18166,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18167,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_c2))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18166, 18165])).
% 6.06/4.76 tff(18168,plain,
% 6.06/4.76 (~m_main_v_state2(s225, c_c2)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18167, 716, 18164])).
% 6.06/4.76 tff(18169,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s225, c_c2) | (~node3(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s225, c_c2) | (~node3(s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18170,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s225, c_c2) | (~node3(s225)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18171,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s225, c_c2) | (~node3(s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18170, 18169])).
% 6.06/4.76 tff(18172,plain,
% 6.06/4.76 (~node3(s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18171, 184, 18168])).
% 6.06/4.76 tff(18173,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s224, c_n1) | (~node1(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s224, c_n1) | (~node1(s224)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18174,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s224, c_n1) | (~node1(s224)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18175,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s224, c_n1) | (~node1(s224))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 6.06/4.76 tff(18176,plain,
% 6.06/4.76 (~node1(s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18175, 249, 18121])).
% 6.06/4.76 tff(18177,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s223, s224)) | node18(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s223, s224)) | node18(s223, s224))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18178,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s223, s224)) | node18(s223, s224))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18179,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s223, s224)) | node18(s223, s224)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 6.06/4.76 tff(18180,plain,
% 6.06/4.76 (node18(s223, s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18179, 71, 18091])).
% 6.06/4.76 tff(18181,plain,
% 6.06/4.76 (((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, 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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18182,plain,
% 6.06/4.76 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18183,plain,
% 6.06/4.76 ((~![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(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | (~node18(s223, s224)) | m_main_v_turn(s224, c_2)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 6.06/4.76 tff(18184,plain,
% 6.06/4.76 ((~m_main_v_state1(s223, c_n1)) | (~m_main_v_state2(s223, c_t2)) | m_main_v_turn(s224, c_2)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18183, 625, 18180])).
% 6.06/4.76 tff(18185,plain,
% 6.06/4.76 (m_main_v_turn(s224, c_2)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18184, 18044, 18080])).
% 6.06/4.76 tff(18186,plain,
% 6.06/4.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18187,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18188,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s224, c_1)) | (~m_main_v_turn(s224, c_2))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18187, 18186])).
% 6.06/4.76 tff(18189,plain,
% 6.06/4.76 (~m_main_v_turn(s224, c_1)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18188, 322, 18185])).
% 6.06/4.76 tff(18190,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s224, c_1) | (~node5(s224)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s224, c_1) | (~node5(s224)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18191,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s224, c_1) | (~node5(s224)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18192,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s224, c_1) | (~node5(s224))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 6.06/4.76 tff(18193,plain,
% 6.06/4.76 (~node5(s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18192, 641, 18189])).
% 6.06/4.76 tff(18194,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s224, c_n1) | (~node2(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s224, c_n1) | (~node2(s224)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18195,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s224, c_n1) | (~node2(s224)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18196,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s224, c_n1) | (~node2(s224))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 6.06/4.76 tff(18197,plain,
% 6.06/4.76 (~node2(s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18196, 652, 18121])).
% 6.06/4.76 tff(18198,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s224, c_n1) | (~node3(s224)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s224, c_n1) | (~node3(s224)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18199,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s224, c_n1) | (~node3(s224)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18200,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s224, c_n1) | (~node3(s224))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 6.06/4.76 tff(18201,plain,
% 6.06/4.76 (~node3(s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18200, 663, 18121])).
% 6.06/4.76 tff(18202,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s224, c_n2) | (~node4(s224)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s224, c_n2) | (~node4(s224)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18203,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s224, c_n2) | (~node4(s224)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18204,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s224, c_n2) | (~node4(s224))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 6.06/4.76 tff(18205,plain,
% 6.06/4.76 (~node4(s224)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18204, 162, 18141])).
% 6.06/4.76 tff(18206,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s224, s225)) | node7(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s224, s225)) | node7(s224, s225))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18207,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s224, s225)) | node7(s224, s225))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18208,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s224, s225)) | node7(s224, s225)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18207, 18206])).
% 6.06/4.76 tff(18209,plain,
% 6.06/4.76 (node7(s224, s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18208, 217, 18152])).
% 6.06/4.76 tff(18210,plain,
% 6.06/4.76 (((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))) <=> ((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18211,plain,
% 6.06/4.76 ((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18212,plain,
% 6.06/4.76 ((~![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(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225) | (~node7(s224, s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 6.06/4.76 tff(18213,plain,
% 6.06/4.76 (m_main_v_state1(s224, c_c1) | node1(s224) | node2(s224) | node3(s224) | node4(s224) | node5(s224) | node6(s224, s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18212, 745, 18209])).
% 6.06/4.76 tff(18214,plain,
% 6.06/4.76 (node6(s224, s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18213, 18205, 18129, 18201, 18197, 18193, 18176])).
% 6.06/4.76 tff(18215,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18216,plain,
% 6.06/4.76 (((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1))) <=> (m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18217,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, 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(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225))))),
% 6.06/4.76 inference(monotonicity,[status(thm)],[18216])).
% 6.06/4.76 tff(18218,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, 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(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225)))),
% 6.06/4.76 inference(transitivity,[status(thm)],[18217, 18215])).
% 6.06/4.76 tff(18219,plain,
% 6.06/4.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s224, s225)) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18220,plain,
% 6.06/4.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s224, c_n1) | (~m_main_v_state1(s225, c_n1)) | (~node6(s224, s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18219, 18218])).
% 6.06/4.76 tff(18221,plain,
% 6.06/4.76 (~m_main_v_state1(s225, c_n1)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18220, 936, 18121, 18214])).
% 6.06/4.76 tff(18222,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s225, c_n1) | (~node2(s225)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s225, c_n1) | (~node2(s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18223,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s225, c_n1) | (~node2(s225)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18224,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s225, c_n1) | (~node2(s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18223, 18222])).
% 6.06/4.76 tff(18225,plain,
% 6.06/4.76 (~node2(s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18224, 652, 18221])).
% 6.06/4.76 tff(18226,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18227,plain,
% 6.06/4.76 (((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1)) <=> ((~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18228,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, 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(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225))))),
% 6.06/4.76 inference(monotonicity,[status(thm)],[18227])).
% 6.06/4.76 tff(18229,plain,
% 6.06/4.76 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, 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(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225)))),
% 6.06/4.76 inference(transitivity,[status(thm)],[18228, 18226])).
% 6.06/4.76 tff(18230,plain,
% 6.06/4.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s224, s225)) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18231,plain,
% 6.06/4.76 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s224, c_t1)) | m_main_v_state1(s225, c_t1) | (~node6(s224, s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 6.06/4.76 tff(18232,plain,
% 6.06/4.76 (m_main_v_state1(s225, c_t1)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18231, 760, 18117, 18214])).
% 6.06/4.76 tff(18233,plain,
% 6.06/4.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18234,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18235,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s225, c_n2)) | (~m_main_v_state2(s225, c_t2))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 6.06/4.76 tff(18236,plain,
% 6.06/4.76 (~m_main_v_state2(s225, c_t2)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18235, 10, 18164])).
% 6.06/4.76 tff(18237,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s225, c_t2) | (~node1(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s225, c_t2) | (~node1(s225)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18238,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s225, c_t2) | (~node1(s225)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18239,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s225, c_t2) | (~node1(s225))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18238, 18237])).
% 6.06/4.76 tff(18240,plain,
% 6.06/4.76 (~node1(s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18239, 206, 18236])).
% 6.06/4.76 tff(18241,plain,
% 6.06/4.76 (succ(s225, s226) <=> succ(s225, s226)),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18242,axiom,(succ(s225, s226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound226')).
% 6.06/4.76 tff(18243,plain,
% 6.06/4.76 (succ(s225, s226)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 6.06/4.76 tff(18244,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18245,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18246,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 6.06/4.76 tff(18247,plain,
% 6.06/4.76 (trans(s225, s226)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18246, 18243, 57])).
% 6.06/4.76 tff(18248,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s225, s226)) | node7(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s225, s226)) | node7(s225, s226))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18249,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s225, s226)) | node7(s225, s226))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18250,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s225, s226)) | node7(s225, s226)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 6.06/4.76 tff(18251,plain,
% 6.06/4.76 (node7(s225, s226)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18250, 217, 18247])).
% 6.06/4.76 tff(18252,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18253,plain,
% 6.06/4.76 (((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1)) <=> ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18254,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, 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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226))))),
% 6.06/4.76 inference(monotonicity,[status(thm)],[18253])).
% 6.06/4.76 tff(18255,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, 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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)))),
% 6.06/4.76 inference(transitivity,[status(thm)],[18254, 18252])).
% 6.06/4.76 tff(18256,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226)) | m_main_v_state1(s226, c_c1))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18257,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225) | (~node7(s225, s226))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 6.06/4.76 tff(18258,plain,
% 6.06/4.76 ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state1(s226, c_c1) | node1(s225) | node2(s225) | node3(s225)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18257, 965, 18251])).
% 6.06/4.76 tff(18259,plain,
% 6.06/4.76 (m_main_v_state1(s226, c_c1)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18258, 18240, 18164, 18232, 18225, 18172])).
% 6.06/4.76 tff(18260,plain,
% 6.06/4.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18261,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18262,plain,
% 6.06/4.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_t1)) | (~m_main_v_state1(s226, c_c1))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 6.06/4.76 tff(18263,plain,
% 6.06/4.76 (~m_main_v_state1(s226, c_t1)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18262, 289, 18259])).
% 6.06/4.76 tff(18264,plain,
% 6.06/4.76 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s226, c_t1) | (~node5(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s226, c_t1) | (~node5(s226)))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18265,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s226, c_t1) | (~node5(s226)))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18266,plain,
% 6.06/4.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s226, c_t1) | (~node5(s226))),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18265, 18264])).
% 6.06/4.76 tff(18267,plain,
% 6.06/4.76 (~node5(s226)),
% 6.06/4.76 inference(unit_resolution,[status(thm)],[18266, 300, 18263])).
% 6.06/4.76 tff(18268,plain,
% 6.06/4.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s225, s226)) | node14(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s225, s226)) | node14(s225, s226))),
% 6.06/4.76 inference(rewrite,[status(thm)],[])).
% 6.06/4.76 tff(18269,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s225, s226)) | node14(s225, s226))),
% 6.06/4.76 inference(quant_inst,[status(thm)],[])).
% 6.06/4.76 tff(18270,plain,
% 6.06/4.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s225, s226)) | node14(s225, s226)),
% 6.06/4.76 inference(modus_ponens,[status(thm)],[18269, 18268])).
% 6.06/4.77 tff(18271,plain,
% 6.06/4.77 (node14(s225, s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18270, 130, 18247])).
% 6.06/4.77 tff(18272,plain,
% 6.06/4.77 (((~![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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, 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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18273,plain,
% 6.06/4.77 ((~![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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18274,plain,
% 6.06/4.77 ((~![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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | (~node14(s225, s226)) | m_main_v_state2(s226, c_t2)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18273, 18272])).
% 6.06/4.77 tff(18275,plain,
% 6.06/4.77 ((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_state2(s226, c_t2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18274, 893, 18271])).
% 6.06/4.77 tff(18276,plain,
% 6.06/4.77 (m_main_v_state2(s226, c_t2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18275, 18232, 18164])).
% 6.06/4.77 tff(18277,plain,
% 6.06/4.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18278,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18279,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s226, c_n2)) | (~m_main_v_state2(s226, c_t2))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18278, 18277])).
% 6.06/4.77 tff(18280,plain,
% 6.06/4.77 (~m_main_v_state2(s226, c_n2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18279, 10, 18276])).
% 6.06/4.77 tff(18281,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s226, c_n2) | (~node4(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s226, c_n2) | (~node4(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18282,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s226, c_n2) | (~node4(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18283,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s226, c_n2) | (~node4(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18282, 18281])).
% 6.06/4.77 tff(18284,plain,
% 6.06/4.77 (~node4(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18283, 162, 18280])).
% 6.06/4.77 tff(18285,plain,
% 6.06/4.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18286,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18287,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s226, c_t2)) | (~m_main_v_state2(s226, c_c2))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 6.06/4.77 tff(18288,plain,
% 6.06/4.77 (~m_main_v_state2(s226, c_c2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18287, 173, 18276])).
% 6.06/4.77 tff(18289,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s226, c_c2) | (~node3(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s226, c_c2) | (~node3(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18290,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s226, c_c2) | (~node3(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18291,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s226, c_c2) | (~node3(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 6.06/4.77 tff(18292,plain,
% 6.06/4.77 (~node3(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18291, 184, 18288])).
% 6.06/4.77 tff(18293,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s226, c_n2) | (~node2(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s226, c_n2) | (~node2(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18294,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s226, c_n2) | (~node2(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18295,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s226, c_n2) | (~node2(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18294, 18293])).
% 6.06/4.77 tff(18296,plain,
% 6.06/4.77 (~node2(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18295, 195, 18280])).
% 6.06/4.77 tff(18297,plain,
% 6.06/4.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18298,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18299,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s226, c_n1)) | (~m_main_v_state1(s226, c_c1))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 6.06/4.77 tff(18300,plain,
% 6.06/4.77 (~m_main_v_state1(s226, c_n1)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18299, 449, 18259])).
% 6.06/4.77 tff(18301,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s226, c_n1) | (~node1(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s226, c_n1) | (~node1(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18302,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s226, c_n1) | (~node1(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18303,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s226, c_n1) | (~node1(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 6.06/4.77 tff(18304,plain,
% 6.06/4.77 (~node1(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18303, 249, 18300])).
% 6.06/4.77 tff(18305,plain,
% 6.06/4.77 (succ(s226, s227) <=> succ(s226, s227)),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18306,axiom,(succ(s226, s227)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound227')).
% 6.06/4.77 tff(18307,plain,
% 6.06/4.77 (succ(s226, s227)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18306, 18305])).
% 6.06/4.77 tff(18308,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18309,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18310,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18309, 18308])).
% 6.06/4.77 tff(18311,plain,
% 6.06/4.77 (trans(s226, s227)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18310, 18307, 57])).
% 6.06/4.77 tff(18312,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s226, s227)) | node7(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s226, s227)) | node7(s226, s227))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18313,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s226, s227)) | node7(s226, s227))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18314,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s226, s227)) | node7(s226, s227)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18313, 18312])).
% 6.06/4.77 tff(18315,plain,
% 6.06/4.77 (node7(s226, s227)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18314, 217, 18311])).
% 6.06/4.77 tff(18316,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18317,plain,
% 6.06/4.77 (((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1)) <=> (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18318,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, 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(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227))))),
% 6.06/4.77 inference(monotonicity,[status(thm)],[18317])).
% 6.06/4.77 tff(18319,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, 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(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)))),
% 6.06/4.77 inference(transitivity,[status(thm)],[18318, 18316])).
% 6.06/4.77 tff(18320,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227)) | m_main_v_state1(s227, c_n1))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18321,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226) | (~node7(s226, s227))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 6.06/4.77 tff(18322,plain,
% 6.06/4.77 (m_main_v_state1(s227, c_n1) | (~m_main_v_state1(s226, c_c1)) | node1(s226) | node2(s226) | node3(s226) | node4(s226) | node5(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18321, 478, 18315])).
% 6.06/4.77 tff(18323,plain,
% 6.06/4.77 (m_main_v_state1(s227, c_n1)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18322, 18304, 18259, 18296, 18292, 18284, 18267])).
% 6.06/4.77 tff(18324,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s225, c_t2) | (~node15(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s225, c_t2) | (~node15(s225)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18325,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s225, c_t2) | (~node15(s225)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18326,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s225, c_t2) | (~node15(s225))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 6.06/4.77 tff(18327,plain,
% 6.06/4.77 (~node15(s225)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18326, 21, 18236])).
% 6.06/4.77 tff(18328,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s225, s226)) | node18(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s225, s226)) | node18(s225, s226))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18329,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s225, s226)) | node18(s225, s226))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18330,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s225, s226)) | node18(s225, s226)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 6.06/4.77 tff(18331,plain,
% 6.06/4.77 (node18(s225, s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18330, 71, 18247])).
% 6.06/4.77 tff(18332,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_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(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, 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(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18333,plain,
% 6.06/4.77 (((~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1)) <=> (node15(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18334,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, 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(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)))),
% 6.06/4.77 inference(monotonicity,[status(thm)],[18333])).
% 6.06/4.77 tff(18335,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~m_main_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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, 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(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1))),
% 6.06/4.77 inference(transitivity,[status(thm)],[18334, 18332])).
% 6.06/4.77 tff(18336,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~m_main_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(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | node15(s225) | (~node18(s225, s226)) | m_main_v_turn(s226, c_1))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18337,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~m_main_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(s225) | (~node18(s225, s226)) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 6.06/4.77 tff(18338,plain,
% 6.06/4.77 (node15(s225) | (~m_main_v_state1(s225, c_t1)) | (~m_main_v_state2(s225, c_n2)) | m_main_v_turn(s226, c_1)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18337, 863, 18331])).
% 6.06/4.77 tff(18339,plain,
% 6.06/4.77 (m_main_v_turn(s226, c_1)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18338, 18327, 18164, 18232])).
% 6.06/4.77 tff(18340,plain,
% 6.06/4.77 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18341,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18342,plain,
% 6.06/4.77 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s226, c_1)) | (~m_main_v_turn(s226, c_2))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 6.06/4.77 tff(18343,plain,
% 6.06/4.77 (~m_main_v_turn(s226, c_2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18342, 322, 18339])).
% 6.06/4.77 tff(18344,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s226, c_2) | (~node12(s226)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s226, c_2) | (~node12(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18345,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s226, c_2) | (~node12(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18346,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s226, c_2) | (~node12(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 6.06/4.77 tff(18347,plain,
% 6.06/4.77 (~node12(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18346, 350, 18343])).
% 6.06/4.77 tff(18348,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s226, c_n2) | (~node8(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s226, c_n2) | (~node8(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18349,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s226, c_n2) | (~node8(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18350,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s226, c_n2) | (~node8(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 6.06/4.77 tff(18351,plain,
% 6.06/4.77 (~node8(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18350, 383, 18280])).
% 6.06/4.77 tff(18352,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s226, c_n2) | (~node9(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s226, c_n2) | (~node9(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18353,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s226, c_n2) | (~node9(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18354,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s226, c_n2) | (~node9(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 6.06/4.77 tff(18355,plain,
% 6.06/4.77 (~node9(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18354, 311, 18280])).
% 6.06/4.77 tff(18356,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s226, c_n2) | (~node10(s226)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s226, c_n2) | (~node10(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18357,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s226, c_n2) | (~node10(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18358,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s226, c_n2) | (~node10(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18357, 18356])).
% 6.06/4.77 tff(18359,plain,
% 6.06/4.77 (~node10(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18358, 372, 18280])).
% 6.06/4.77 tff(18360,plain,
% 6.06/4.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s226, c_n1) | (~node11(s226)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s226, c_n1) | (~node11(s226)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18361,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s226, c_n1) | (~node11(s226)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18362,plain,
% 6.06/4.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s226, c_n1) | (~node11(s226))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 6.06/4.77 tff(18363,plain,
% 6.06/4.77 (~node11(s226)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18362, 361, 18300])).
% 6.06/4.77 tff(18364,plain,
% 6.06/4.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s226, s227)) | node14(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s226, s227)) | node14(s226, s227))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18365,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s226, s227)) | node14(s226, s227))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18366,plain,
% 6.06/4.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s226, s227)) | node14(s226, s227)),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 6.06/4.77 tff(18367,plain,
% 6.06/4.77 (node14(s226, s227)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18366, 130, 18311])).
% 6.06/4.77 tff(18368,plain,
% 6.06/4.77 (((~![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(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))) <=> ((~![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(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18369,plain,
% 6.06/4.77 ((~![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(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227)))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18370,plain,
% 6.06/4.77 ((~![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(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227) | (~node14(s226, s227))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18369, 18368])).
% 6.06/4.77 tff(18371,plain,
% 6.06/4.77 (m_main_v_state2(s226, c_c2) | node9(s226) | node8(s226) | node10(s226) | node11(s226) | node12(s226) | node13(s226, s227)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18370, 401, 18367])).
% 6.06/4.77 tff(18372,plain,
% 6.06/4.77 (node13(s226, s227)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18371, 18363, 18288, 18359, 18355, 18351, 18347])).
% 6.06/4.77 tff(18373,plain,
% 6.06/4.77 (((~![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(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18374,plain,
% 6.06/4.77 (((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2)) <=> ((~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 6.06/4.77 inference(rewrite,[status(thm)],[])).
% 6.06/4.77 tff(18375,plain,
% 6.06/4.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, 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(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227))))),
% 6.06/4.77 inference(monotonicity,[status(thm)],[18374])).
% 6.06/4.77 tff(18376,plain,
% 6.06/4.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, 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(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227)))),
% 6.06/4.77 inference(transitivity,[status(thm)],[18375, 18373])).
% 6.06/4.77 tff(18377,plain,
% 6.06/4.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s226, s227)) | (~m_main_v_state2(s226, c_t2)) | m_main_v_state2(s227, c_t2))),
% 6.06/4.77 inference(quant_inst,[status(thm)],[])).
% 6.06/4.77 tff(18378,plain,
% 6.06/4.77 ((~![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(s226, c_t2)) | m_main_v_state2(s227, c_t2) | (~node13(s226, s227))),
% 6.06/4.77 inference(modus_ponens,[status(thm)],[18377, 18376])).
% 6.06/4.77 tff(18379,plain,
% 6.06/4.77 (m_main_v_state2(s227, c_t2)),
% 6.06/4.77 inference(unit_resolution,[status(thm)],[18378, 563, 18276, 18372])).
% 6.06/4.78 tff(18380,plain,
% 6.06/4.78 (succ(s227, s228) <=> succ(s227, s228)),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18381,axiom,(succ(s227, s228)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound228')).
% 6.06/4.78 tff(18382,plain,
% 6.06/4.78 (succ(s227, s228)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18381, 18380])).
% 6.06/4.78 tff(18383,plain,
% 6.06/4.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18384,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18385,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18384, 18383])).
% 6.06/4.78 tff(18386,plain,
% 6.06/4.78 (trans(s227, s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18385, 18382, 57])).
% 6.06/4.78 tff(18387,plain,
% 6.06/4.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s227, s228)) | node7(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s227, s228)) | node7(s227, s228))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18388,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s227, s228)) | node7(s227, s228))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18389,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s227, s228)) | node7(s227, s228)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 6.06/4.78 tff(18390,plain,
% 6.06/4.78 (node7(s227, s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18389, 217, 18386])).
% 6.06/4.78 tff(18391,plain,
% 6.06/4.78 (((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, 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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18392,plain,
% 6.06/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18393,plain,
% 6.06/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node7(s227, s228)) | m_main_v_state1(s228, c_t1)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 6.06/4.78 tff(18394,plain,
% 6.06/4.78 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_state1(s228, c_t1)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18393, 598, 18390])).
% 6.06/4.78 tff(18395,plain,
% 6.06/4.78 (m_main_v_state1(s228, c_t1)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18394, 18379, 18323])).
% 6.06/4.78 tff(18396,plain,
% 6.06/4.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18397,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18398,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s228, c_n1)) | (~m_main_v_state1(s228, c_t1))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 6.06/4.78 tff(18399,plain,
% 6.06/4.78 (~m_main_v_state1(s228, c_n1)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18398, 35, 18395])).
% 6.06/4.78 tff(18400,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s228, c_n1) | (~node1(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s228, c_n1) | (~node1(s228)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18401,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s228, c_n1) | (~node1(s228)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18402,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s228, c_n1) | (~node1(s228))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18401, 18400])).
% 6.06/4.78 tff(18403,plain,
% 6.06/4.78 (~node1(s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18402, 249, 18399])).
% 6.06/4.78 tff(18404,plain,
% 6.06/4.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s227, s228)) | node18(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s227, s228)) | node18(s227, s228))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18405,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s227, s228)) | node18(s227, s228))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18406,plain,
% 6.06/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s227, s228)) | node18(s227, s228)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18405, 18404])).
% 6.06/4.78 tff(18407,plain,
% 6.06/4.78 (node18(s227, s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18406, 71, 18386])).
% 6.06/4.78 tff(18408,plain,
% 6.06/4.78 (((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, 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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18409,plain,
% 6.06/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18410,plain,
% 6.06/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | (~node18(s227, s228)) | m_main_v_turn(s228, c_2)),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18409, 18408])).
% 6.06/4.78 tff(18411,plain,
% 6.06/4.78 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | m_main_v_turn(s228, c_2)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18410, 625, 18407])).
% 6.06/4.78 tff(18412,plain,
% 6.06/4.78 (m_main_v_turn(s228, c_2)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18411, 18379, 18323])).
% 6.06/4.78 tff(18413,plain,
% 6.06/4.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18414,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18415,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s228, c_1)) | (~m_main_v_turn(s228, c_2))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 6.06/4.78 tff(18416,plain,
% 6.06/4.78 (~m_main_v_turn(s228, c_1)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18415, 322, 18412])).
% 6.06/4.78 tff(18417,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s228, c_1) | (~node5(s228)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s228, c_1) | (~node5(s228)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18418,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s228, c_1) | (~node5(s228)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18419,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s228, c_1) | (~node5(s228))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 6.06/4.78 tff(18420,plain,
% 6.06/4.78 (~node5(s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18419, 641, 18416])).
% 6.06/4.78 tff(18421,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s228, c_n1) | (~node2(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s228, c_n1) | (~node2(s228)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18422,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s228, c_n1) | (~node2(s228)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18423,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s228, c_n1) | (~node2(s228))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 6.06/4.78 tff(18424,plain,
% 6.06/4.78 (~node2(s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18423, 652, 18399])).
% 6.06/4.78 tff(18425,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s228, c_n1) | (~node3(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s228, c_n1) | (~node3(s228)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18426,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s228, c_n1) | (~node3(s228)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18427,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s228, c_n1) | (~node3(s228))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 6.06/4.78 tff(18428,plain,
% 6.06/4.78 (~node3(s228)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18427, 663, 18399])).
% 6.06/4.78 tff(18429,plain,
% 6.06/4.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18430,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18431,plain,
% 6.06/4.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s228, c_t1)) | (~m_main_v_state1(s228, c_c1))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 6.06/4.78 tff(18432,plain,
% 6.06/4.78 (~m_main_v_state1(s228, c_c1)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18431, 289, 18395])).
% 6.06/4.78 tff(18433,plain,
% 6.06/4.78 (((~![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(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18434,plain,
% 6.06/4.78 (((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2))) <=> (m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18435,plain,
% 6.06/4.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, 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(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227))))),
% 6.06/4.78 inference(monotonicity,[status(thm)],[18434])).
% 6.06/4.78 tff(18436,plain,
% 6.06/4.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, 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(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227)))),
% 6.06/4.78 inference(transitivity,[status(thm)],[18435, 18433])).
% 6.06/4.78 tff(18437,plain,
% 6.06/4.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s226, s227)) | m_main_v_state2(s226, c_n2) | (~m_main_v_state2(s227, c_n2)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18438,plain,
% 6.06/4.78 ((~![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(s226, c_n2) | (~m_main_v_state2(s227, c_n2)) | (~node13(s226, s227))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 6.06/4.78 tff(18439,plain,
% 6.06/4.78 (~m_main_v_state2(s227, c_n2)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18438, 416, 18280, 18372])).
% 6.06/4.78 tff(18440,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s227, c_n2) | (~node9(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s227, c_n2) | (~node9(s227)))),
% 6.06/4.78 inference(rewrite,[status(thm)],[])).
% 6.06/4.78 tff(18441,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s227, c_n2) | (~node9(s227)))),
% 6.06/4.78 inference(quant_inst,[status(thm)],[])).
% 6.06/4.78 tff(18442,plain,
% 6.06/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s227, c_n2) | (~node9(s227))),
% 6.06/4.78 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 6.06/4.78 tff(18443,plain,
% 6.06/4.78 (~node9(s227)),
% 6.06/4.78 inference(unit_resolution,[status(thm)],[18442, 311, 18439])).
% 6.06/4.78 tff(18444,plain,
% 6.06/4.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s227, c_n2) | (~node10(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s227, c_n2) | (~node10(s227)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18445,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s227, c_n2) | (~node10(s227)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18446,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s227, c_n2) | (~node10(s227))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 6.15/4.78 tff(18447,plain,
% 6.15/4.78 (~node10(s227)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18446, 372, 18439])).
% 6.15/4.78 tff(18448,plain,
% 6.15/4.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s227, c_n2) | (~node8(s227)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s227, c_n2) | (~node8(s227)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18449,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s227, c_n2) | (~node8(s227)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18450,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s227, c_n2) | (~node8(s227))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 6.15/4.78 tff(18451,plain,
% 6.15/4.78 (~node8(s227)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18450, 383, 18439])).
% 6.15/4.78 tff(18452,plain,
% 6.15/4.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s227, s228)) | node14(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s227, s228)) | node14(s227, s228))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18453,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s227, s228)) | node14(s227, s228))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18454,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s227, s228)) | node14(s227, s228)),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18453, 18452])).
% 6.15/4.78 tff(18455,plain,
% 6.15/4.78 (node14(s227, s228)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18454, 130, 18386])).
% 6.15/4.78 tff(18456,plain,
% 6.15/4.78 (((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, 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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18457,plain,
% 6.15/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18458,plain,
% 6.15/4.78 ((~![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(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | (~node14(s227, s228)) | m_main_v_state2(s228, c_c2)),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18457, 18456])).
% 6.15/4.78 tff(18459,plain,
% 6.15/4.78 ((~m_main_v_state1(s227, c_n1)) | (~m_main_v_state2(s227, c_t2)) | node9(s227) | node8(s227) | node10(s227) | m_main_v_state2(s228, c_c2)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18458, 704, 18455])).
% 6.15/4.78 tff(18460,plain,
% 6.15/4.78 (m_main_v_state2(s228, c_c2)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18459, 18451, 18323, 18379, 18447, 18443])).
% 6.15/4.78 tff(18461,plain,
% 6.15/4.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18462,plain,
% 6.15/4.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18463,plain,
% 6.15/4.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_n2)) | (~m_main_v_state2(s228, c_c2))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18462, 18461])).
% 6.15/4.78 tff(18464,plain,
% 6.15/4.78 (~m_main_v_state2(s228, c_n2)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18463, 716, 18460])).
% 6.15/4.78 tff(18465,plain,
% 6.15/4.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s228, c_n2) | (~node4(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s228, c_n2) | (~node4(s228)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18466,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s228, c_n2) | (~node4(s228)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18467,plain,
% 6.15/4.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s228, c_n2) | (~node4(s228))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18466, 18465])).
% 6.15/4.78 tff(18468,plain,
% 6.15/4.78 (~node4(s228)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18467, 162, 18464])).
% 6.15/4.78 tff(18469,plain,
% 6.15/4.78 (succ(s228, s229) <=> succ(s228, s229)),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18470,axiom,(succ(s228, s229)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound229')).
% 6.15/4.78 tff(18471,plain,
% 6.15/4.78 (succ(s228, s229)),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18470, 18469])).
% 6.15/4.78 tff(18472,plain,
% 6.15/4.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18473,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18474,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18473, 18472])).
% 6.15/4.78 tff(18475,plain,
% 6.15/4.78 (trans(s228, s229)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18474, 18471, 57])).
% 6.15/4.78 tff(18476,plain,
% 6.15/4.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s228, s229)) | node7(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s228, s229)) | node7(s228, s229))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18477,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s228, s229)) | node7(s228, s229))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18478,plain,
% 6.15/4.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s228, s229)) | node7(s228, s229)),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18477, 18476])).
% 6.15/4.78 tff(18479,plain,
% 6.15/4.78 (node7(s228, s229)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18478, 217, 18475])).
% 6.15/4.78 tff(18480,plain,
% 6.15/4.78 (((~![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(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))) <=> ((~![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(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18481,plain,
% 6.15/4.78 ((~![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(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18482,plain,
% 6.15/4.78 ((~![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(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229) | (~node7(s228, s229))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 6.15/4.78 tff(18483,plain,
% 6.15/4.78 (m_main_v_state1(s228, c_c1) | node1(s228) | node2(s228) | node3(s228) | node4(s228) | node5(s228) | node6(s228, s229)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18482, 745, 18479])).
% 6.15/4.78 tff(18484,plain,
% 6.15/4.78 (node6(s228, s229)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18483, 18468, 18432, 18428, 18424, 18420, 18403])).
% 6.15/4.78 tff(18485,plain,
% 6.15/4.78 (((~![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(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18486,plain,
% 6.15/4.78 (((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1)) <=> ((~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18487,plain,
% 6.15/4.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, 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(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229))))),
% 6.15/4.78 inference(monotonicity,[status(thm)],[18486])).
% 6.15/4.78 tff(18488,plain,
% 6.15/4.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, 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(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229)))),
% 6.15/4.78 inference(transitivity,[status(thm)],[18487, 18485])).
% 6.15/4.78 tff(18489,plain,
% 6.15/4.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s228, s229)) | (~m_main_v_state1(s228, c_t1)) | m_main_v_state1(s229, c_t1))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18490,plain,
% 6.15/4.78 ((~![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(s228, c_t1)) | m_main_v_state1(s229, c_t1) | (~node6(s228, s229))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18489, 18488])).
% 6.15/4.78 tff(18491,plain,
% 6.15/4.78 (m_main_v_state1(s229, c_t1)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18490, 760, 18395, 18484])).
% 6.15/4.78 tff(18492,plain,
% 6.15/4.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.78 inference(rewrite,[status(thm)],[])).
% 6.15/4.78 tff(18493,plain,
% 6.15/4.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.78 inference(quant_inst,[status(thm)],[])).
% 6.15/4.78 tff(18494,plain,
% 6.15/4.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s228, c_t2)) | (~m_main_v_state2(s228, c_c2))),
% 6.15/4.78 inference(modus_ponens,[status(thm)],[18493, 18492])).
% 6.15/4.78 tff(18495,plain,
% 6.15/4.78 (~m_main_v_state2(s228, c_t2)),
% 6.15/4.78 inference(unit_resolution,[status(thm)],[18494, 173, 18460])).
% 6.15/4.78 tff(18496,plain,
% 6.15/4.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s228, c_t2) | (~node12(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s228, c_t2) | (~node12(s228)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18497,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s228, c_t2) | (~node12(s228)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18498,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s228, c_t2) | (~node12(s228))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18497, 18496])).
% 6.15/4.79 tff(18499,plain,
% 6.15/4.79 (~node12(s228)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18498, 778, 18495])).
% 6.15/4.79 tff(18500,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s228, c_n1) | (~node11(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s228, c_n1) | (~node11(s228)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18501,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s228, c_n1) | (~node11(s228)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18502,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s228, c_n1) | (~node11(s228))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 6.15/4.79 tff(18503,plain,
% 6.15/4.79 (~node11(s228)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18502, 361, 18399])).
% 6.15/4.79 tff(18504,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s228, c_c1) | (~node10(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s228, c_c1) | (~node10(s228)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18505,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s228, c_c1) | (~node10(s228)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18506,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s228, c_c1) | (~node10(s228))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18505, 18504])).
% 6.15/4.79 tff(18507,plain,
% 6.15/4.79 (~node10(s228)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18506, 793, 18432])).
% 6.15/4.79 tff(18508,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s228, c_n1) | (~node9(s228)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s228, c_n1) | (~node9(s228)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18509,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s228, c_n1) | (~node9(s228)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18510,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s228, c_n1) | (~node9(s228))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 6.15/4.79 tff(18511,plain,
% 6.15/4.79 (~node9(s228)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18510, 804, 18399])).
% 6.15/4.79 tff(18512,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s228, c_n2) | (~node8(s228)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s228, c_n2) | (~node8(s228)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18513,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s228, c_n2) | (~node8(s228)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18514,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s228, c_n2) | (~node8(s228))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18513, 18512])).
% 6.15/4.79 tff(18515,plain,
% 6.15/4.79 (~node8(s228)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18514, 383, 18464])).
% 6.15/4.79 tff(18516,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s228, s229)) | node14(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s228, s229)) | node14(s228, s229))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18517,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s228, s229)) | node14(s228, s229))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18518,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s228, s229)) | node14(s228, s229)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 6.15/4.79 tff(18519,plain,
% 6.15/4.79 (node14(s228, s229)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18518, 130, 18475])).
% 6.15/4.79 tff(18520,plain,
% 6.15/4.79 (((~![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(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, 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(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18521,plain,
% 6.15/4.79 (((~m_main_v_state2(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2)) <=> (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18522,plain,
% 6.15/4.79 (((~![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(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, 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(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2))))),
% 6.15/4.79 inference(monotonicity,[status(thm)],[18521])).
% 6.15/4.79 tff(18523,plain,
% 6.15/4.79 (((~![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(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, 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(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2)))),
% 6.15/4.79 inference(transitivity,[status(thm)],[18522, 18520])).
% 6.15/4.79 tff(18524,plain,
% 6.15/4.79 ((~![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(s228, c_c2)) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | m_main_v_state2(s229, c_n2))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18525,plain,
% 6.15/4.79 ((~![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(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~node14(s228, s229)) | (~m_main_v_state2(s228, c_c2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 6.15/4.79 tff(18526,plain,
% 6.15/4.79 (m_main_v_state2(s229, c_n2) | node9(s228) | node8(s228) | node10(s228) | node11(s228) | node12(s228) | (~m_main_v_state2(s228, c_c2))),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18525, 826, 18519])).
% 6.15/4.79 tff(18527,plain,
% 6.15/4.79 (m_main_v_state2(s229, c_n2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18526, 18515, 18460, 18511, 18507, 18503, 18499])).
% 6.15/4.79 tff(18528,plain,
% 6.15/4.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18529,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18530,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_t2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18529, 18528])).
% 6.15/4.79 tff(18531,plain,
% 6.15/4.79 (~m_main_v_state2(s229, c_t2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18530, 10, 18527])).
% 6.15/4.79 tff(18532,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s229, c_t2) | (~node15(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s229, c_t2) | (~node15(s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18533,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s229, c_t2) | (~node15(s229)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18534,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s229, c_t2) | (~node15(s229))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 6.15/4.79 tff(18535,plain,
% 6.15/4.79 (~node15(s229)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18534, 21, 18531])).
% 6.15/4.79 tff(18536,plain,
% 6.15/4.79 (succ(s229, s230) <=> succ(s229, s230)),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18537,axiom,(succ(s229, s230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound230')).
% 6.15/4.79 tff(18538,plain,
% 6.15/4.79 (succ(s229, s230)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18537, 18536])).
% 6.15/4.79 tff(18539,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18540,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18541,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18540, 18539])).
% 6.15/4.79 tff(18542,plain,
% 6.15/4.79 (trans(s229, s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18541, 18538, 57])).
% 6.15/4.79 tff(18543,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s229, s230)) | node18(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s229, s230)) | node18(s229, s230))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18544,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s229, s230)) | node18(s229, s230))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18545,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s229, s230)) | node18(s229, s230)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18544, 18543])).
% 6.15/4.79 tff(18546,plain,
% 6.15/4.79 (node18(s229, s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18545, 71, 18542])).
% 6.15/4.79 tff(18547,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~m_main_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(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, 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(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18548,plain,
% 6.15/4.79 (((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1)) <=> (node15(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18549,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~m_main_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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, 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(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)))),
% 6.15/4.79 inference(monotonicity,[status(thm)],[18548])).
% 6.15/4.79 tff(18550,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~m_main_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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, 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(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1))),
% 6.15/4.79 inference(transitivity,[status(thm)],[18549, 18547])).
% 6.15/4.79 tff(18551,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~m_main_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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node15(s229) | (~node18(s229, s230)) | m_main_v_turn(s230, c_1))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18552,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~m_main_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(s229) | (~node18(s229, s230)) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 6.15/4.79 tff(18553,plain,
% 6.15/4.79 (node15(s229) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_turn(s230, c_1)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18552, 863, 18546])).
% 6.15/4.79 tff(18554,plain,
% 6.15/4.79 (m_main_v_turn(s230, c_1)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18553, 18535, 18527, 18491])).
% 6.15/4.79 tff(18555,plain,
% 6.15/4.79 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18556,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18557,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s230, c_1)) | (~m_main_v_turn(s230, c_2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 6.15/4.79 tff(18558,plain,
% 6.15/4.79 (~m_main_v_turn(s230, c_2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18557, 322, 18554])).
% 6.15/4.79 tff(18559,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s230, c_2) | (~node12(s230)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s230, c_2) | (~node12(s230)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18560,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s230, c_2) | (~node12(s230)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18561,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s230, c_2) | (~node12(s230))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 6.15/4.79 tff(18562,plain,
% 6.15/4.79 (~node12(s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18561, 350, 18558])).
% 6.15/4.79 tff(18563,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s229, s230)) | node14(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s229, s230)) | node14(s229, s230))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18564,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s229, s230)) | node14(s229, s230))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18565,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s229, s230)) | node14(s229, s230)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18564, 18563])).
% 6.15/4.79 tff(18566,plain,
% 6.15/4.79 (node14(s229, s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18565, 130, 18542])).
% 6.15/4.79 tff(18567,plain,
% 6.15/4.79 (((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, 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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18568,plain,
% 6.15/4.79 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18569,plain,
% 6.15/4.79 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | (~node14(s229, s230)) | m_main_v_state2(s230, c_t2)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18568, 18567])).
% 6.15/4.79 tff(18570,plain,
% 6.15/4.79 ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state2(s230, c_t2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18569, 893, 18566])).
% 6.15/4.79 tff(18571,plain,
% 6.15/4.79 (m_main_v_state2(s230, c_t2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18570, 18491, 18527])).
% 6.15/4.79 tff(18572,plain,
% 6.15/4.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18573,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18574,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s230, c_n2)) | (~m_main_v_state2(s230, c_t2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18573, 18572])).
% 6.15/4.79 tff(18575,plain,
% 6.15/4.79 (~m_main_v_state2(s230, c_n2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18574, 10, 18571])).
% 6.15/4.79 tff(18576,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s230, c_n2) | (~node8(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s230, c_n2) | (~node8(s230)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18577,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s230, c_n2) | (~node8(s230)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18578,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s230, c_n2) | (~node8(s230))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18577, 18576])).
% 6.15/4.79 tff(18579,plain,
% 6.15/4.79 (~node8(s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18578, 383, 18575])).
% 6.15/4.79 tff(18580,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s230, c_n2) | (~node9(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s230, c_n2) | (~node9(s230)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18581,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s230, c_n2) | (~node9(s230)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18582,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s230, c_n2) | (~node9(s230))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18581, 18580])).
% 6.15/4.79 tff(18583,plain,
% 6.15/4.79 (~node9(s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18582, 311, 18575])).
% 6.15/4.79 tff(18584,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s230, c_n2) | (~node10(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s230, c_n2) | (~node10(s230)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18585,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s230, c_n2) | (~node10(s230)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18586,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s230, c_n2) | (~node10(s230))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18585, 18584])).
% 6.15/4.79 tff(18587,plain,
% 6.15/4.79 (~node10(s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18586, 372, 18575])).
% 6.15/4.79 tff(18588,plain,
% 6.15/4.79 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18589,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18590,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s230, c_t2)) | (~m_main_v_state2(s230, c_c2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18589, 18588])).
% 6.15/4.79 tff(18591,plain,
% 6.15/4.79 (~m_main_v_state2(s230, c_c2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18590, 173, 18571])).
% 6.15/4.79 tff(18592,plain,
% 6.15/4.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18593,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18594,plain,
% 6.15/4.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s229, c_n2)) | (~m_main_v_state2(s229, c_c2))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18593, 18592])).
% 6.15/4.79 tff(18595,plain,
% 6.15/4.79 (~m_main_v_state2(s229, c_c2)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18594, 716, 18527])).
% 6.15/4.79 tff(18596,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s229, c_c2) | (~node3(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s229, c_c2) | (~node3(s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18597,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s229, c_c2) | (~node3(s229)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18598,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s229, c_c2) | (~node3(s229))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18597, 18596])).
% 6.15/4.79 tff(18599,plain,
% 6.15/4.79 (~node3(s229)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18598, 184, 18595])).
% 6.15/4.79 tff(18600,plain,
% 6.15/4.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18601,plain,
% 6.15/4.79 (((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1))) <=> (m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18602,plain,
% 6.15/4.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, 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(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229))))),
% 6.15/4.79 inference(monotonicity,[status(thm)],[18601])).
% 6.15/4.79 tff(18603,plain,
% 6.15/4.79 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, 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(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229)))),
% 6.15/4.79 inference(transitivity,[status(thm)],[18602, 18600])).
% 6.15/4.79 tff(18604,plain,
% 6.15/4.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s228, s229)) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18605,plain,
% 6.15/4.79 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s228, c_n1) | (~m_main_v_state1(s229, c_n1)) | (~node6(s228, s229))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18604, 18603])).
% 6.15/4.79 tff(18606,plain,
% 6.15/4.79 (~m_main_v_state1(s229, c_n1)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18605, 936, 18399, 18484])).
% 6.15/4.79 tff(18607,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s229, c_n1) | (~node2(s229)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s229, c_n1) | (~node2(s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18608,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s229, c_n1) | (~node2(s229)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18609,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s229, c_n1) | (~node2(s229))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 6.15/4.79 tff(18610,plain,
% 6.15/4.79 (~node2(s229)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18609, 652, 18606])).
% 6.15/4.79 tff(18611,plain,
% 6.15/4.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s229, c_t2) | (~node1(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s229, c_t2) | (~node1(s229)))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18612,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s229, c_t2) | (~node1(s229)))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18613,plain,
% 6.15/4.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s229, c_t2) | (~node1(s229))),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18612, 18611])).
% 6.15/4.79 tff(18614,plain,
% 6.15/4.79 (~node1(s229)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18613, 206, 18531])).
% 6.15/4.79 tff(18615,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s229, s230)) | node7(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s229, s230)) | node7(s229, s230))),
% 6.15/4.79 inference(rewrite,[status(thm)],[])).
% 6.15/4.79 tff(18616,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s229, s230)) | node7(s229, s230))),
% 6.15/4.79 inference(quant_inst,[status(thm)],[])).
% 6.15/4.79 tff(18617,plain,
% 6.15/4.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s229, s230)) | node7(s229, s230)),
% 6.15/4.79 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 6.15/4.79 tff(18618,plain,
% 6.15/4.79 (node7(s229, s230)),
% 6.15/4.79 inference(unit_resolution,[status(thm)],[18617, 217, 18542])).
% 6.15/4.79 tff(18619,plain,
% 6.15/4.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18620,plain,
% 6.15/4.80 (((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1)) <=> ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18621,plain,
% 6.15/4.80 (((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, 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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230))))),
% 6.15/4.80 inference(monotonicity,[status(thm)],[18620])).
% 6.15/4.80 tff(18622,plain,
% 6.15/4.80 (((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, 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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)))),
% 6.15/4.80 inference(transitivity,[status(thm)],[18621, 18619])).
% 6.15/4.80 tff(18623,plain,
% 6.15/4.80 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230)) | m_main_v_state1(s230, c_c1))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18624,plain,
% 6.15/4.80 ((~![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(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229) | (~node7(s229, s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18623, 18622])).
% 6.15/4.80 tff(18625,plain,
% 6.15/4.80 ((~m_main_v_state1(s229, c_t1)) | (~m_main_v_state2(s229, c_n2)) | m_main_v_state1(s230, c_c1) | node1(s229) | node2(s229) | node3(s229)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18624, 965, 18618])).
% 6.15/4.80 tff(18626,plain,
% 6.15/4.80 (m_main_v_state1(s230, c_c1)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18625, 18614, 18527, 18491, 18610, 18599])).
% 6.15/4.80 tff(18627,plain,
% 6.15/4.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18628,plain,
% 6.15/4.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18629,plain,
% 6.15/4.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_n1)) | (~m_main_v_state1(s230, c_c1))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 6.15/4.80 tff(18630,plain,
% 6.15/4.80 (~m_main_v_state1(s230, c_n1)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18629, 449, 18626])).
% 6.15/4.80 tff(18631,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s230, c_n1) | (~node11(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s230, c_n1) | (~node11(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18632,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s230, c_n1) | (~node11(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18633,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s230, c_n1) | (~node11(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18632, 18631])).
% 6.15/4.80 tff(18634,plain,
% 6.15/4.80 (~node11(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18633, 361, 18630])).
% 6.15/4.80 tff(18635,plain,
% 6.15/4.80 (succ(s230, s231) <=> succ(s230, s231)),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18636,axiom,(succ(s230, s231)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound231')).
% 6.15/4.80 tff(18637,plain,
% 6.15/4.80 (succ(s230, s231)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 6.15/4.80 tff(18638,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18639,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18640,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18639, 18638])).
% 6.15/4.80 tff(18641,plain,
% 6.15/4.80 (trans(s230, s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18640, 18637, 57])).
% 6.15/4.80 tff(18642,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s230, s231)) | node14(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s230, s231)) | node14(s230, s231))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18643,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s230, s231)) | node14(s230, s231))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18644,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s230, s231)) | node14(s230, s231)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18643, 18642])).
% 6.15/4.80 tff(18645,plain,
% 6.15/4.80 (node14(s230, s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18644, 130, 18641])).
% 6.15/4.80 tff(18646,plain,
% 6.15/4.80 (((~![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(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))) <=> ((~![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(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18647,plain,
% 6.15/4.80 ((~![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(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18648,plain,
% 6.15/4.80 ((~![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(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231) | (~node14(s230, s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 6.15/4.80 tff(18649,plain,
% 6.15/4.80 (m_main_v_state2(s230, c_c2) | node9(s230) | node8(s230) | node10(s230) | node11(s230) | node12(s230) | node13(s230, s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18648, 401, 18645])).
% 6.15/4.80 tff(18650,plain,
% 6.15/4.80 (node13(s230, s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18649, 18634, 18591, 18587, 18583, 18579, 18562])).
% 6.15/4.80 tff(18651,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18652,plain,
% 6.15/4.80 (((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2))) <=> (m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18653,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, 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(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231))))),
% 6.15/4.80 inference(monotonicity,[status(thm)],[18652])).
% 6.15/4.80 tff(18654,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, 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(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231)))),
% 6.15/4.80 inference(transitivity,[status(thm)],[18653, 18651])).
% 6.15/4.80 tff(18655,plain,
% 6.15/4.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s230, s231)) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18656,plain,
% 6.15/4.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s230, c_n2) | (~m_main_v_state2(s231, c_n2)) | (~node13(s230, s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 6.15/4.80 tff(18657,plain,
% 6.15/4.80 (~m_main_v_state2(s231, c_n2)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18656, 416, 18575, 18650])).
% 6.15/4.80 tff(18658,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s231, c_n2) | (~node9(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s231, c_n2) | (~node9(s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18659,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s231, c_n2) | (~node9(s231)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18660,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s231, c_n2) | (~node9(s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18659, 18658])).
% 6.15/4.80 tff(18661,plain,
% 6.15/4.80 (~node9(s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18660, 311, 18657])).
% 6.15/4.80 tff(18662,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s231, c_n2) | (~node10(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s231, c_n2) | (~node10(s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18663,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s231, c_n2) | (~node10(s231)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18664,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s231, c_n2) | (~node10(s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 6.15/4.80 tff(18665,plain,
% 6.15/4.80 (~node10(s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18664, 372, 18657])).
% 6.15/4.80 tff(18666,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18667,plain,
% 6.15/4.80 (((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2)) <=> ((~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18668,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, 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(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231))))),
% 6.15/4.80 inference(monotonicity,[status(thm)],[18667])).
% 6.15/4.80 tff(18669,plain,
% 6.15/4.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, 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(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231)))),
% 6.15/4.80 inference(transitivity,[status(thm)],[18668, 18666])).
% 6.15/4.80 tff(18670,plain,
% 6.15/4.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s230, s231)) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18671,plain,
% 6.15/4.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s230, c_t2)) | m_main_v_state2(s231, c_t2) | (~node13(s230, s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18670, 18669])).
% 6.15/4.80 tff(18672,plain,
% 6.15/4.80 (m_main_v_state2(s231, c_t2)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18671, 563, 18571, 18650])).
% 6.15/4.80 tff(18673,plain,
% 6.15/4.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18674,plain,
% 6.15/4.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18675,plain,
% 6.15/4.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s230, c_t1)) | (~m_main_v_state1(s230, c_c1))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18674, 18673])).
% 6.15/4.80 tff(18676,plain,
% 6.15/4.80 (~m_main_v_state1(s230, c_t1)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18675, 289, 18626])).
% 6.15/4.80 tff(18677,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s230, c_t1) | (~node5(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s230, c_t1) | (~node5(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18678,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s230, c_t1) | (~node5(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18679,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s230, c_t1) | (~node5(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18678, 18677])).
% 6.15/4.80 tff(18680,plain,
% 6.15/4.80 (~node5(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18679, 300, 18676])).
% 6.15/4.80 tff(18681,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s230, c_n2) | (~node4(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s230, c_n2) | (~node4(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18682,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s230, c_n2) | (~node4(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18683,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s230, c_n2) | (~node4(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18682, 18681])).
% 6.15/4.80 tff(18684,plain,
% 6.15/4.80 (~node4(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18683, 162, 18575])).
% 6.15/4.80 tff(18685,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s230, c_c2) | (~node3(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s230, c_c2) | (~node3(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18686,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s230, c_c2) | (~node3(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18687,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s230, c_c2) | (~node3(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18686, 18685])).
% 6.15/4.80 tff(18688,plain,
% 6.15/4.80 (~node3(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18687, 184, 18591])).
% 6.15/4.80 tff(18689,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s230, c_n2) | (~node2(s230)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s230, c_n2) | (~node2(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18690,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s230, c_n2) | (~node2(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18691,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s230, c_n2) | (~node2(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 6.15/4.80 tff(18692,plain,
% 6.15/4.80 (~node2(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18691, 195, 18575])).
% 6.15/4.80 tff(18693,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s230, c_n1) | (~node1(s230)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s230, c_n1) | (~node1(s230)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18694,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s230, c_n1) | (~node1(s230)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18695,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s230, c_n1) | (~node1(s230))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18694, 18693])).
% 6.15/4.80 tff(18696,plain,
% 6.15/4.80 (~node1(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18695, 249, 18630])).
% 6.15/4.80 tff(18697,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s230, s231)) | node7(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s230, s231)) | node7(s230, s231))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18698,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s230, s231)) | node7(s230, s231))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18699,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s230, s231)) | node7(s230, s231)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 6.15/4.80 tff(18700,plain,
% 6.15/4.80 (node7(s230, s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18699, 217, 18641])).
% 6.15/4.80 tff(18701,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18702,plain,
% 6.15/4.80 (((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1)) <=> (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18703,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, 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(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231))))),
% 6.15/4.80 inference(monotonicity,[status(thm)],[18702])).
% 6.15/4.80 tff(18704,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, 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(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)))),
% 6.15/4.80 inference(transitivity,[status(thm)],[18703, 18701])).
% 6.15/4.80 tff(18705,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231)) | m_main_v_state1(s231, c_n1))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18706,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230) | (~node7(s230, s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 6.15/4.80 tff(18707,plain,
% 6.15/4.80 (m_main_v_state1(s231, c_n1) | (~m_main_v_state1(s230, c_c1)) | node1(s230) | node2(s230) | node3(s230) | node4(s230) | node5(s230)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18706, 478, 18700])).
% 6.15/4.80 tff(18708,plain,
% 6.15/4.80 (m_main_v_state1(s231, c_n1)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18707, 18696, 18626, 18692, 18688, 18684, 18680])).
% 6.15/4.80 tff(18709,plain,
% 6.15/4.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s231, c_n2) | (~node8(s231)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s231, c_n2) | (~node8(s231)))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18710,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s231, c_n2) | (~node8(s231)))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18711,plain,
% 6.15/4.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s231, c_n2) | (~node8(s231))),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18710, 18709])).
% 6.15/4.80 tff(18712,plain,
% 6.15/4.80 (~node8(s231)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18711, 383, 18657])).
% 6.15/4.80 tff(18713,plain,
% 6.15/4.80 (succ(s231, s232) <=> succ(s231, s232)),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18714,axiom,(succ(s231, s232)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound232')).
% 6.15/4.80 tff(18715,plain,
% 6.15/4.80 (succ(s231, s232)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 6.15/4.80 tff(18716,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18717,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18718,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18717, 18716])).
% 6.15/4.80 tff(18719,plain,
% 6.15/4.80 (trans(s231, s232)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18718, 18715, 57])).
% 6.15/4.80 tff(18720,plain,
% 6.15/4.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s231, s232)) | node14(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s231, s232)) | node14(s231, s232))),
% 6.15/4.80 inference(rewrite,[status(thm)],[])).
% 6.15/4.80 tff(18721,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s231, s232)) | node14(s231, s232))),
% 6.15/4.80 inference(quant_inst,[status(thm)],[])).
% 6.15/4.80 tff(18722,plain,
% 6.15/4.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s231, s232)) | node14(s231, s232)),
% 6.15/4.80 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 6.15/4.80 tff(18723,plain,
% 6.15/4.80 (node14(s231, s232)),
% 6.15/4.80 inference(unit_resolution,[status(thm)],[18722, 130, 18719])).
% 6.15/4.80 tff(18724,plain,
% 6.15/4.80 (((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, 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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18725,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18726,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | (~node14(s231, s232)) | m_main_v_state2(s232, c_c2)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18725, 18724])).
% 6.15/4.81 tff(18727,plain,
% 6.15/4.81 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | node9(s231) | node8(s231) | node10(s231) | m_main_v_state2(s232, c_c2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18726, 704, 18723])).
% 6.15/4.81 tff(18728,plain,
% 6.15/4.81 (m_main_v_state2(s232, c_c2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18727, 18712, 18708, 18672, 18665, 18661])).
% 6.15/4.81 tff(18729,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18730,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18731,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_t2)) | (~m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18730, 18729])).
% 6.15/4.81 tff(18732,plain,
% 6.15/4.81 (~m_main_v_state2(s232, c_t2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18731, 173, 18728])).
% 6.15/4.81 tff(18733,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s232, c_t2) | (~node12(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s232, c_t2) | (~node12(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18734,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s232, c_t2) | (~node12(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18735,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s232, c_t2) | (~node12(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18734, 18733])).
% 6.15/4.81 tff(18736,plain,
% 6.15/4.81 (~node12(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18735, 778, 18732])).
% 6.15/4.81 tff(18737,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s231, s232)) | node7(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s231, s232)) | node7(s231, s232))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18738,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s231, s232)) | node7(s231, s232))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18739,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s231, s232)) | node7(s231, s232)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 6.15/4.81 tff(18740,plain,
% 6.15/4.81 (node7(s231, s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18739, 217, 18719])).
% 6.15/4.81 tff(18741,plain,
% 6.15/4.81 (((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, 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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18742,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18743,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node7(s231, s232)) | m_main_v_state1(s232, c_t1)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 6.15/4.81 tff(18744,plain,
% 6.15/4.81 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_state1(s232, c_t1)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18743, 598, 18740])).
% 6.15/4.81 tff(18745,plain,
% 6.15/4.81 (m_main_v_state1(s232, c_t1)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18744, 18672, 18708])).
% 6.15/4.81 tff(18746,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18747,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18748,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s232, c_n1)) | (~m_main_v_state1(s232, c_t1))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18747, 18746])).
% 6.15/4.81 tff(18749,plain,
% 6.15/4.81 (~m_main_v_state1(s232, c_n1)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18748, 35, 18745])).
% 6.15/4.81 tff(18750,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s232, c_n1) | (~node11(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s232, c_n1) | (~node11(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18751,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s232, c_n1) | (~node11(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18752,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s232, c_n1) | (~node11(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 6.15/4.81 tff(18753,plain,
% 6.15/4.81 (~node11(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18752, 361, 18749])).
% 6.15/4.81 tff(18754,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18755,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18756,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s232, c_t1)) | (~m_main_v_state1(s232, c_c1))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18755, 18754])).
% 6.15/4.81 tff(18757,plain,
% 6.15/4.81 (~m_main_v_state1(s232, c_c1)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18756, 289, 18745])).
% 6.15/4.81 tff(18758,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s232, c_c1) | (~node10(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s232, c_c1) | (~node10(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18759,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s232, c_c1) | (~node10(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18760,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s232, c_c1) | (~node10(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 6.15/4.81 tff(18761,plain,
% 6.15/4.81 (~node10(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18760, 793, 18757])).
% 6.15/4.81 tff(18762,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s232, c_n1) | (~node9(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s232, c_n1) | (~node9(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18763,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s232, c_n1) | (~node9(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18764,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s232, c_n1) | (~node9(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18763, 18762])).
% 6.15/4.81 tff(18765,plain,
% 6.15/4.81 (~node9(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18764, 804, 18749])).
% 6.15/4.81 tff(18766,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18767,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18768,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s232, c_n2)) | (~m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18767, 18766])).
% 6.15/4.81 tff(18769,plain,
% 6.15/4.81 (~m_main_v_state2(s232, c_n2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18768, 716, 18728])).
% 6.15/4.81 tff(18770,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s232, c_n2) | (~node8(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s232, c_n2) | (~node8(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18771,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s232, c_n2) | (~node8(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18772,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s232, c_n2) | (~node8(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18771, 18770])).
% 6.15/4.81 tff(18773,plain,
% 6.15/4.81 (~node8(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18772, 383, 18769])).
% 6.15/4.81 tff(18774,plain,
% 6.15/4.81 (succ(s232, s233) <=> succ(s232, s233)),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18775,axiom,(succ(s232, s233)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound233')).
% 6.15/4.81 tff(18776,plain,
% 6.15/4.81 (succ(s232, s233)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18775, 18774])).
% 6.15/4.81 tff(18777,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18778,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18779,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 6.15/4.81 tff(18780,plain,
% 6.15/4.81 (trans(s232, s233)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18779, 18776, 57])).
% 6.15/4.81 tff(18781,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s232, s233)) | node14(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s232, s233)) | node14(s232, s233))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18782,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s232, s233)) | node14(s232, s233))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18783,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s232, s233)) | node14(s232, s233)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18782, 18781])).
% 6.15/4.81 tff(18784,plain,
% 6.15/4.81 (node14(s232, s233)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18783, 130, 18780])).
% 6.15/4.81 tff(18785,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, 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(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18786,plain,
% 6.15/4.81 (((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2)) <=> (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18787,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, 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(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2))))),
% 6.15/4.81 inference(monotonicity,[status(thm)],[18786])).
% 6.15/4.81 tff(18788,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, 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(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2)))),
% 6.15/4.81 inference(transitivity,[status(thm)],[18787, 18785])).
% 6.15/4.81 tff(18789,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s232, c_c2)) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | m_main_v_state2(s233, c_n2))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18790,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~node14(s232, s233)) | (~m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 6.15/4.81 tff(18791,plain,
% 6.15/4.81 (m_main_v_state2(s233, c_n2) | node9(s232) | node8(s232) | node10(s232) | node11(s232) | node12(s232) | (~m_main_v_state2(s232, c_c2))),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18790, 826, 18784])).
% 6.15/4.81 tff(18792,plain,
% 6.15/4.81 (m_main_v_state2(s233, c_n2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18791, 18773, 18728, 18765, 18761, 18753, 18736])).
% 6.15/4.81 tff(18793,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18794,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18795,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_c2))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18794, 18793])).
% 6.15/4.81 tff(18796,plain,
% 6.15/4.81 (~m_main_v_state2(s233, c_c2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18795, 716, 18792])).
% 6.15/4.81 tff(18797,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s233, c_c2) | (~node3(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s233, c_c2) | (~node3(s233)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18798,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s233, c_c2) | (~node3(s233)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18799,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s233, c_c2) | (~node3(s233))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 6.15/4.81 tff(18800,plain,
% 6.15/4.81 (~node3(s233)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18799, 184, 18796])).
% 6.15/4.81 tff(18801,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s232, c_n1) | (~node1(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s232, c_n1) | (~node1(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18802,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s232, c_n1) | (~node1(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18803,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s232, c_n1) | (~node1(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 6.15/4.81 tff(18804,plain,
% 6.15/4.81 (~node1(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18803, 249, 18749])).
% 6.15/4.81 tff(18805,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s231, s232)) | node18(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s231, s232)) | node18(s231, s232))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18806,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s231, s232)) | node18(s231, s232))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18807,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s231, s232)) | node18(s231, s232)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18806, 18805])).
% 6.15/4.81 tff(18808,plain,
% 6.15/4.81 (node18(s231, s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18807, 71, 18719])).
% 6.15/4.81 tff(18809,plain,
% 6.15/4.81 (((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, 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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18810,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18811,plain,
% 6.15/4.81 ((~![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(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | (~node18(s231, s232)) | m_main_v_turn(s232, c_2)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18810, 18809])).
% 6.15/4.81 tff(18812,plain,
% 6.15/4.81 ((~m_main_v_state1(s231, c_n1)) | (~m_main_v_state2(s231, c_t2)) | m_main_v_turn(s232, c_2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18811, 625, 18808])).
% 6.15/4.81 tff(18813,plain,
% 6.15/4.81 (m_main_v_turn(s232, c_2)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18812, 18672, 18708])).
% 6.15/4.81 tff(18814,plain,
% 6.15/4.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18815,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18816,plain,
% 6.15/4.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s232, c_1)) | (~m_main_v_turn(s232, c_2))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 6.15/4.81 tff(18817,plain,
% 6.15/4.81 (~m_main_v_turn(s232, c_1)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18816, 322, 18813])).
% 6.15/4.81 tff(18818,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s232, c_1) | (~node5(s232)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s232, c_1) | (~node5(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18819,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s232, c_1) | (~node5(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18820,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s232, c_1) | (~node5(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 6.15/4.81 tff(18821,plain,
% 6.15/4.81 (~node5(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18820, 641, 18817])).
% 6.15/4.81 tff(18822,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s232, c_n1) | (~node2(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s232, c_n1) | (~node2(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18823,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s232, c_n1) | (~node2(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18824,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s232, c_n1) | (~node2(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18823, 18822])).
% 6.15/4.81 tff(18825,plain,
% 6.15/4.81 (~node2(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18824, 652, 18749])).
% 6.15/4.81 tff(18826,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s232, c_n1) | (~node3(s232)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s232, c_n1) | (~node3(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18827,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s232, c_n1) | (~node3(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18828,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s232, c_n1) | (~node3(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 6.15/4.81 tff(18829,plain,
% 6.15/4.81 (~node3(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18828, 663, 18749])).
% 6.15/4.81 tff(18830,plain,
% 6.15/4.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s232, c_n2) | (~node4(s232)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s232, c_n2) | (~node4(s232)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18831,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s232, c_n2) | (~node4(s232)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18832,plain,
% 6.15/4.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s232, c_n2) | (~node4(s232))),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18831, 18830])).
% 6.15/4.81 tff(18833,plain,
% 6.15/4.81 (~node4(s232)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18832, 162, 18769])).
% 6.15/4.81 tff(18834,plain,
% 6.15/4.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s232, s233)) | node7(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s232, s233)) | node7(s232, s233))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18835,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s232, s233)) | node7(s232, s233))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.81 tff(18836,plain,
% 6.15/4.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s232, s233)) | node7(s232, s233)),
% 6.15/4.81 inference(modus_ponens,[status(thm)],[18835, 18834])).
% 6.15/4.81 tff(18837,plain,
% 6.15/4.81 (node7(s232, s233)),
% 6.15/4.81 inference(unit_resolution,[status(thm)],[18836, 217, 18780])).
% 6.15/4.81 tff(18838,plain,
% 6.15/4.81 (((~![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(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))) <=> ((~![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(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))),
% 6.15/4.81 inference(rewrite,[status(thm)],[])).
% 6.15/4.81 tff(18839,plain,
% 6.15/4.81 ((~![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(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233)))),
% 6.15/4.81 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18840,plain,
% 6.15/4.82 ((~![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(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233) | (~node7(s232, s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 6.15/4.82 tff(18841,plain,
% 6.15/4.82 (m_main_v_state1(s232, c_c1) | node1(s232) | node2(s232) | node3(s232) | node4(s232) | node5(s232) | node6(s232, s233)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18840, 745, 18837])).
% 6.15/4.82 tff(18842,plain,
% 6.15/4.82 (node6(s232, s233)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18841, 18833, 18757, 18829, 18825, 18821, 18804])).
% 6.15/4.82 tff(18843,plain,
% 6.15/4.82 (((~![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(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18844,plain,
% 6.15/4.82 (((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1))) <=> (m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18845,plain,
% 6.15/4.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, 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(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233))))),
% 6.15/4.82 inference(monotonicity,[status(thm)],[18844])).
% 6.15/4.82 tff(18846,plain,
% 6.15/4.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, 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(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233)))),
% 6.15/4.82 inference(transitivity,[status(thm)],[18845, 18843])).
% 6.15/4.82 tff(18847,plain,
% 6.15/4.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s232, s233)) | m_main_v_state1(s232, c_n1) | (~m_main_v_state1(s233, c_n1)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18848,plain,
% 6.15/4.82 ((~![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(s232, c_n1) | (~m_main_v_state1(s233, c_n1)) | (~node6(s232, s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 6.15/4.82 tff(18849,plain,
% 6.15/4.82 (~m_main_v_state1(s233, c_n1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18848, 936, 18749, 18842])).
% 6.15/4.82 tff(18850,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s233, c_n1) | (~node2(s233)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s233, c_n1) | (~node2(s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18851,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s233, c_n1) | (~node2(s233)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18852,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s233, c_n1) | (~node2(s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 6.15/4.82 tff(18853,plain,
% 6.15/4.82 (~node2(s233)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18852, 652, 18849])).
% 6.15/4.82 tff(18854,plain,
% 6.15/4.82 (((~![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(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18855,plain,
% 6.15/4.82 (((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1)) <=> ((~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18856,plain,
% 6.15/4.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, 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(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233))))),
% 6.15/4.82 inference(monotonicity,[status(thm)],[18855])).
% 6.15/4.82 tff(18857,plain,
% 6.15/4.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, 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(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233)))),
% 6.15/4.82 inference(transitivity,[status(thm)],[18856, 18854])).
% 6.15/4.82 tff(18858,plain,
% 6.15/4.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s232, s233)) | (~m_main_v_state1(s232, c_t1)) | m_main_v_state1(s233, c_t1))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18859,plain,
% 6.15/4.82 ((~![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(s232, c_t1)) | m_main_v_state1(s233, c_t1) | (~node6(s232, s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 6.15/4.82 tff(18860,plain,
% 6.15/4.82 (m_main_v_state1(s233, c_t1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18859, 760, 18745, 18842])).
% 6.15/4.82 tff(18861,plain,
% 6.15/4.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18862,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18863,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s233, c_n2)) | (~m_main_v_state2(s233, c_t2))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 6.15/4.82 tff(18864,plain,
% 6.15/4.82 (~m_main_v_state2(s233, c_t2)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18863, 10, 18792])).
% 6.15/4.82 tff(18865,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s233, c_t2) | (~node1(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s233, c_t2) | (~node1(s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18866,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s233, c_t2) | (~node1(s233)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18867,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s233, c_t2) | (~node1(s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 6.15/4.82 tff(18868,plain,
% 6.15/4.82 (~node1(s233)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18867, 206, 18864])).
% 6.15/4.82 tff(18869,plain,
% 6.15/4.82 (succ(s233, s234) <=> succ(s233, s234)),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18870,axiom,(succ(s233, s234)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound234')).
% 6.15/4.82 tff(18871,plain,
% 6.15/4.82 (succ(s233, s234)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 6.15/4.82 tff(18872,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18873,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18874,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 6.15/4.82 tff(18875,plain,
% 6.15/4.82 (trans(s233, s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18874, 18871, 57])).
% 6.15/4.82 tff(18876,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s233, s234)) | node7(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s233, s234)) | node7(s233, s234))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18877,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s233, s234)) | node7(s233, s234))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18878,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s233, s234)) | node7(s233, s234)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 6.15/4.82 tff(18879,plain,
% 6.15/4.82 (node7(s233, s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18878, 217, 18875])).
% 6.15/4.82 tff(18880,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18881,plain,
% 6.15/4.82 (((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1)) <=> ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18882,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, 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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234))))),
% 6.15/4.82 inference(monotonicity,[status(thm)],[18881])).
% 6.15/4.82 tff(18883,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, 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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)))),
% 6.15/4.82 inference(transitivity,[status(thm)],[18882, 18880])).
% 6.15/4.82 tff(18884,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234)) | m_main_v_state1(s234, c_c1))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18885,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233) | (~node7(s233, s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 6.15/4.82 tff(18886,plain,
% 6.15/4.82 ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state1(s234, c_c1) | node1(s233) | node2(s233) | node3(s233)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18885, 965, 18879])).
% 6.15/4.82 tff(18887,plain,
% 6.15/4.82 (m_main_v_state1(s234, c_c1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18886, 18868, 18792, 18860, 18853, 18800])).
% 6.15/4.82 tff(18888,plain,
% 6.15/4.82 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18889,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18890,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_t1)) | (~m_main_v_state1(s234, c_c1))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 6.15/4.82 tff(18891,plain,
% 6.15/4.82 (~m_main_v_state1(s234, c_t1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18890, 289, 18887])).
% 6.15/4.82 tff(18892,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s234, c_t1) | (~node5(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s234, c_t1) | (~node5(s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18893,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s234, c_t1) | (~node5(s234)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18894,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s234, c_t1) | (~node5(s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18893, 18892])).
% 6.15/4.82 tff(18895,plain,
% 6.15/4.82 (~node5(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18894, 300, 18891])).
% 6.15/4.82 tff(18896,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s233, s234)) | node14(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s233, s234)) | node14(s233, s234))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18897,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s233, s234)) | node14(s233, s234))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18898,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s233, s234)) | node14(s233, s234)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 6.15/4.82 tff(18899,plain,
% 6.15/4.82 (node14(s233, s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18898, 130, 18875])).
% 6.15/4.82 tff(18900,plain,
% 6.15/4.82 (((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, 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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18901,plain,
% 6.15/4.82 ((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18902,plain,
% 6.15/4.82 ((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | (~node14(s233, s234)) | m_main_v_state2(s234, c_t2)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18901, 18900])).
% 6.15/4.82 tff(18903,plain,
% 6.15/4.82 ((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_state2(s234, c_t2)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18902, 893, 18899])).
% 6.15/4.82 tff(18904,plain,
% 6.15/4.82 (m_main_v_state2(s234, c_t2)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18903, 18860, 18792])).
% 6.15/4.82 tff(18905,plain,
% 6.15/4.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18906,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18907,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s234, c_n2)) | (~m_main_v_state2(s234, c_t2))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 6.15/4.82 tff(18908,plain,
% 6.15/4.82 (~m_main_v_state2(s234, c_n2)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18907, 10, 18904])).
% 6.15/4.82 tff(18909,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s234, c_n2) | (~node4(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s234, c_n2) | (~node4(s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18910,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s234, c_n2) | (~node4(s234)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18911,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s234, c_n2) | (~node4(s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18910, 18909])).
% 6.15/4.82 tff(18912,plain,
% 6.15/4.82 (~node4(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18911, 162, 18908])).
% 6.15/4.82 tff(18913,plain,
% 6.15/4.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18914,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18915,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s234, c_t2)) | (~m_main_v_state2(s234, c_c2))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18914, 18913])).
% 6.15/4.82 tff(18916,plain,
% 6.15/4.82 (~m_main_v_state2(s234, c_c2)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18915, 173, 18904])).
% 6.15/4.82 tff(18917,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s234, c_c2) | (~node3(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s234, c_c2) | (~node3(s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18918,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s234, c_c2) | (~node3(s234)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18919,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s234, c_c2) | (~node3(s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18918, 18917])).
% 6.15/4.82 tff(18920,plain,
% 6.15/4.82 (~node3(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18919, 184, 18916])).
% 6.15/4.82 tff(18921,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s234, c_n2) | (~node2(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s234, c_n2) | (~node2(s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18922,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s234, c_n2) | (~node2(s234)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18923,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s234, c_n2) | (~node2(s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 6.15/4.82 tff(18924,plain,
% 6.15/4.82 (~node2(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18923, 195, 18908])).
% 6.15/4.82 tff(18925,plain,
% 6.15/4.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18926,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18927,plain,
% 6.15/4.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s234, c_n1)) | (~m_main_v_state1(s234, c_c1))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 6.15/4.82 tff(18928,plain,
% 6.15/4.82 (~m_main_v_state1(s234, c_n1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18927, 449, 18887])).
% 6.15/4.82 tff(18929,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s234, c_n1) | (~node1(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s234, c_n1) | (~node1(s234)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18930,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s234, c_n1) | (~node1(s234)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18931,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s234, c_n1) | (~node1(s234))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 6.15/4.82 tff(18932,plain,
% 6.15/4.82 (~node1(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18931, 249, 18928])).
% 6.15/4.82 tff(18933,plain,
% 6.15/4.82 (succ(s234, s235) <=> succ(s234, s235)),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18934,axiom,(succ(s234, s235)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound235')).
% 6.15/4.82 tff(18935,plain,
% 6.15/4.82 (succ(s234, s235)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18934, 18933])).
% 6.15/4.82 tff(18936,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18937,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18938,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 6.15/4.82 tff(18939,plain,
% 6.15/4.82 (trans(s234, s235)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18938, 18935, 57])).
% 6.15/4.82 tff(18940,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s234, s235)) | node7(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s234, s235)) | node7(s234, s235))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18941,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s234, s235)) | node7(s234, s235))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18942,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s234, s235)) | node7(s234, s235)),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 6.15/4.82 tff(18943,plain,
% 6.15/4.82 (node7(s234, s235)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18942, 217, 18939])).
% 6.15/4.82 tff(18944,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18945,plain,
% 6.15/4.82 (((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1)) <=> (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18946,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, 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(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235))))),
% 6.15/4.82 inference(monotonicity,[status(thm)],[18945])).
% 6.15/4.82 tff(18947,plain,
% 6.15/4.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, 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(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)))),
% 6.15/4.82 inference(transitivity,[status(thm)],[18946, 18944])).
% 6.15/4.82 tff(18948,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235)) | m_main_v_state1(s235, c_n1))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18949,plain,
% 6.15/4.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234) | (~node7(s234, s235))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18948, 18947])).
% 6.15/4.82 tff(18950,plain,
% 6.15/4.82 (m_main_v_state1(s235, c_n1) | (~m_main_v_state1(s234, c_c1)) | node1(s234) | node2(s234) | node3(s234) | node4(s234) | node5(s234)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18949, 478, 18943])).
% 6.15/4.82 tff(18951,plain,
% 6.15/4.82 (m_main_v_state1(s235, c_n1)),
% 6.15/4.82 inference(unit_resolution,[status(thm)],[18950, 18932, 18887, 18924, 18920, 18912, 18895])).
% 6.15/4.82 tff(18952,plain,
% 6.15/4.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s233, c_t2) | (~node15(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s233, c_t2) | (~node15(s233)))),
% 6.15/4.82 inference(rewrite,[status(thm)],[])).
% 6.15/4.82 tff(18953,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s233, c_t2) | (~node15(s233)))),
% 6.15/4.82 inference(quant_inst,[status(thm)],[])).
% 6.15/4.82 tff(18954,plain,
% 6.15/4.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s233, c_t2) | (~node15(s233))),
% 6.15/4.82 inference(modus_ponens,[status(thm)],[18953, 18952])).
% 6.15/4.82 tff(18955,plain,
% 6.15/4.82 (~node15(s233)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18954, 21, 18864])).
% 6.15/4.83 tff(18956,plain,
% 6.15/4.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s233, s234)) | node18(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s233, s234)) | node18(s233, s234))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18957,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s233, s234)) | node18(s233, s234))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18958,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s233, s234)) | node18(s233, s234)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18957, 18956])).
% 6.15/4.83 tff(18959,plain,
% 6.15/4.83 (node18(s233, s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18958, 71, 18875])).
% 6.15/4.83 tff(18960,plain,
% 6.15/4.83 (((~![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(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, 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(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18961,plain,
% 6.15/4.83 (((~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1)) <=> (node15(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18962,plain,
% 6.15/4.83 (((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, 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(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)))),
% 6.15/4.83 inference(monotonicity,[status(thm)],[18961])).
% 6.15/4.83 tff(18963,plain,
% 6.15/4.83 (((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, 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(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1))),
% 6.15/4.83 inference(transitivity,[status(thm)],[18962, 18960])).
% 6.15/4.83 tff(18964,plain,
% 6.15/4.83 ((~![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(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | node15(s233) | (~node18(s233, s234)) | m_main_v_turn(s234, c_1))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18965,plain,
% 6.15/4.83 ((~![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(s233) | (~node18(s233, s234)) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 6.15/4.83 tff(18966,plain,
% 6.15/4.83 (node15(s233) | (~m_main_v_state1(s233, c_t1)) | (~m_main_v_state2(s233, c_n2)) | m_main_v_turn(s234, c_1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18965, 863, 18959])).
% 6.15/4.83 tff(18967,plain,
% 6.15/4.83 (m_main_v_turn(s234, c_1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18966, 18955, 18792, 18860])).
% 6.15/4.83 tff(18968,plain,
% 6.15/4.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18969,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18970,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s234, c_1)) | (~m_main_v_turn(s234, c_2))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18969, 18968])).
% 6.15/4.83 tff(18971,plain,
% 6.15/4.83 (~m_main_v_turn(s234, c_2)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18970, 322, 18967])).
% 6.15/4.83 tff(18972,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s234, c_2) | (~node12(s234)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s234, c_2) | (~node12(s234)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18973,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s234, c_2) | (~node12(s234)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18974,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s234, c_2) | (~node12(s234))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 6.15/4.83 tff(18975,plain,
% 6.15/4.83 (~node12(s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18974, 350, 18971])).
% 6.15/4.83 tff(18976,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s234, c_n2) | (~node8(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s234, c_n2) | (~node8(s234)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18977,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s234, c_n2) | (~node8(s234)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18978,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s234, c_n2) | (~node8(s234))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 6.15/4.83 tff(18979,plain,
% 6.15/4.83 (~node8(s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18978, 383, 18908])).
% 6.15/4.83 tff(18980,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s234, c_n2) | (~node9(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s234, c_n2) | (~node9(s234)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18981,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s234, c_n2) | (~node9(s234)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18982,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s234, c_n2) | (~node9(s234))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 6.15/4.83 tff(18983,plain,
% 6.15/4.83 (~node9(s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18982, 311, 18908])).
% 6.15/4.83 tff(18984,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s234, c_n2) | (~node10(s234)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s234, c_n2) | (~node10(s234)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18985,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s234, c_n2) | (~node10(s234)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18986,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s234, c_n2) | (~node10(s234))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 6.15/4.83 tff(18987,plain,
% 6.15/4.83 (~node10(s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18986, 372, 18908])).
% 6.15/4.83 tff(18988,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s234, c_n1) | (~node11(s234)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s234, c_n1) | (~node11(s234)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18989,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s234, c_n1) | (~node11(s234)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18990,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s234, c_n1) | (~node11(s234))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 6.15/4.83 tff(18991,plain,
% 6.15/4.83 (~node11(s234)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18990, 361, 18928])).
% 6.15/4.83 tff(18992,plain,
% 6.15/4.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s234, s235)) | node14(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s234, s235)) | node14(s234, s235))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18993,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s234, s235)) | node14(s234, s235))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18994,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s234, s235)) | node14(s234, s235)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18993, 18992])).
% 6.15/4.83 tff(18995,plain,
% 6.15/4.83 (node14(s234, s235)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18994, 130, 18939])).
% 6.15/4.83 tff(18996,plain,
% 6.15/4.83 (((~![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(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))) <=> ((~![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(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(18997,plain,
% 6.15/4.83 ((~![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(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(18998,plain,
% 6.15/4.83 ((~![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(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235) | (~node14(s234, s235))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 6.15/4.83 tff(18999,plain,
% 6.15/4.83 (m_main_v_state2(s234, c_c2) | node9(s234) | node8(s234) | node10(s234) | node11(s234) | node12(s234) | node13(s234, s235)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18998, 401, 18995])).
% 6.15/4.83 tff(19000,plain,
% 6.15/4.83 (node13(s234, s235)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[18999, 18991, 18916, 18987, 18983, 18979, 18975])).
% 6.15/4.83 tff(19001,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19002,plain,
% 6.15/4.83 (((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2)) <=> ((~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19003,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, 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(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235))))),
% 6.15/4.83 inference(monotonicity,[status(thm)],[19002])).
% 6.15/4.83 tff(19004,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, 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(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235)))),
% 6.15/4.83 inference(transitivity,[status(thm)],[19003, 19001])).
% 6.15/4.83 tff(19005,plain,
% 6.15/4.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s234, s235)) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19006,plain,
% 6.15/4.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s234, c_t2)) | m_main_v_state2(s235, c_t2) | (~node13(s234, s235))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 6.15/4.83 tff(19007,plain,
% 6.15/4.83 (m_main_v_state2(s235, c_t2)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19006, 563, 18904, 19000])).
% 6.15/4.83 tff(19008,plain,
% 6.15/4.83 (succ(s235, s236) <=> succ(s235, s236)),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19009,axiom,(succ(s235, s236)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound236')).
% 6.15/4.83 tff(19010,plain,
% 6.15/4.83 (succ(s235, s236)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 6.15/4.83 tff(19011,plain,
% 6.15/4.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19012,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19013,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 6.15/4.83 tff(19014,plain,
% 6.15/4.83 (trans(s235, s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19013, 19010, 57])).
% 6.15/4.83 tff(19015,plain,
% 6.15/4.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s235, s236)) | node7(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s235, s236)) | node7(s235, s236))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19016,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s235, s236)) | node7(s235, s236))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19017,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s235, s236)) | node7(s235, s236)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 6.15/4.83 tff(19018,plain,
% 6.15/4.83 (node7(s235, s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19017, 217, 19014])).
% 6.15/4.83 tff(19019,plain,
% 6.15/4.83 (((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, 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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19020,plain,
% 6.15/4.83 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19021,plain,
% 6.15/4.83 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node7(s235, s236)) | m_main_v_state1(s236, c_t1)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19020, 19019])).
% 6.15/4.83 tff(19022,plain,
% 6.15/4.83 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_state1(s236, c_t1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19021, 598, 19018])).
% 6.15/4.83 tff(19023,plain,
% 6.15/4.83 (m_main_v_state1(s236, c_t1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19022, 19007, 18951])).
% 6.15/4.83 tff(19024,plain,
% 6.15/4.83 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19025,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19026,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s236, c_n1)) | (~m_main_v_state1(s236, c_t1))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 6.15/4.83 tff(19027,plain,
% 6.15/4.83 (~m_main_v_state1(s236, c_n1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19026, 35, 19023])).
% 6.15/4.83 tff(19028,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s236, c_n1) | (~node1(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s236, c_n1) | (~node1(s236)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19029,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s236, c_n1) | (~node1(s236)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19030,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s236, c_n1) | (~node1(s236))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 6.15/4.83 tff(19031,plain,
% 6.15/4.83 (~node1(s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19030, 249, 19027])).
% 6.15/4.83 tff(19032,plain,
% 6.15/4.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s235, s236)) | node18(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s235, s236)) | node18(s235, s236))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19033,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s235, s236)) | node18(s235, s236))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19034,plain,
% 6.15/4.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s235, s236)) | node18(s235, s236)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 6.15/4.83 tff(19035,plain,
% 6.15/4.83 (node18(s235, s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19034, 71, 19014])).
% 6.15/4.83 tff(19036,plain,
% 6.15/4.83 (((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, 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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19037,plain,
% 6.15/4.83 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19038,plain,
% 6.15/4.83 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | (~node18(s235, s236)) | m_main_v_turn(s236, c_2)),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 6.15/4.83 tff(19039,plain,
% 6.15/4.83 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | m_main_v_turn(s236, c_2)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19038, 625, 19035])).
% 6.15/4.83 tff(19040,plain,
% 6.15/4.83 (m_main_v_turn(s236, c_2)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19039, 19007, 18951])).
% 6.15/4.83 tff(19041,plain,
% 6.15/4.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19042,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19043,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s236, c_1)) | (~m_main_v_turn(s236, c_2))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19042, 19041])).
% 6.15/4.83 tff(19044,plain,
% 6.15/4.83 (~m_main_v_turn(s236, c_1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19043, 322, 19040])).
% 6.15/4.83 tff(19045,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s236, c_1) | (~node5(s236)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s236, c_1) | (~node5(s236)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19046,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s236, c_1) | (~node5(s236)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19047,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s236, c_1) | (~node5(s236))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19046, 19045])).
% 6.15/4.83 tff(19048,plain,
% 6.15/4.83 (~node5(s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19047, 641, 19044])).
% 6.15/4.83 tff(19049,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s236, c_n1) | (~node2(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s236, c_n1) | (~node2(s236)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19050,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s236, c_n1) | (~node2(s236)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19051,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s236, c_n1) | (~node2(s236))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 6.15/4.83 tff(19052,plain,
% 6.15/4.83 (~node2(s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19051, 652, 19027])).
% 6.15/4.83 tff(19053,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s236, c_n1) | (~node3(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s236, c_n1) | (~node3(s236)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19054,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s236, c_n1) | (~node3(s236)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19055,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s236, c_n1) | (~node3(s236))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 6.15/4.83 tff(19056,plain,
% 6.15/4.83 (~node3(s236)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19055, 663, 19027])).
% 6.15/4.83 tff(19057,plain,
% 6.15/4.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19058,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19059,plain,
% 6.15/4.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s236, c_t1)) | (~m_main_v_state1(s236, c_c1))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 6.15/4.83 tff(19060,plain,
% 6.15/4.83 (~m_main_v_state1(s236, c_c1)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19059, 289, 19023])).
% 6.15/4.83 tff(19061,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19062,plain,
% 6.15/4.83 (((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2))) <=> (m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19063,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, 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(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235))))),
% 6.15/4.83 inference(monotonicity,[status(thm)],[19062])).
% 6.15/4.83 tff(19064,plain,
% 6.15/4.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, 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(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235)))),
% 6.15/4.83 inference(transitivity,[status(thm)],[19063, 19061])).
% 6.15/4.83 tff(19065,plain,
% 6.15/4.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s234, s235)) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19066,plain,
% 6.15/4.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s234, c_n2) | (~m_main_v_state2(s235, c_n2)) | (~node13(s234, s235))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 6.15/4.83 tff(19067,plain,
% 6.15/4.83 (~m_main_v_state2(s235, c_n2)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19066, 416, 18908, 19000])).
% 6.15/4.83 tff(19068,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s235, c_n2) | (~node9(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s235, c_n2) | (~node9(s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19069,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s235, c_n2) | (~node9(s235)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19070,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s235, c_n2) | (~node9(s235))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 6.15/4.83 tff(19071,plain,
% 6.15/4.83 (~node9(s235)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19070, 311, 19067])).
% 6.15/4.83 tff(19072,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s235, c_n2) | (~node10(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s235, c_n2) | (~node10(s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19073,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s235, c_n2) | (~node10(s235)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19074,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s235, c_n2) | (~node10(s235))),
% 6.15/4.83 inference(modus_ponens,[status(thm)],[19073, 19072])).
% 6.15/4.83 tff(19075,plain,
% 6.15/4.83 (~node10(s235)),
% 6.15/4.83 inference(unit_resolution,[status(thm)],[19074, 372, 19067])).
% 6.15/4.83 tff(19076,plain,
% 6.15/4.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s235, c_n2) | (~node8(s235)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s235, c_n2) | (~node8(s235)))),
% 6.15/4.83 inference(rewrite,[status(thm)],[])).
% 6.15/4.83 tff(19077,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s235, c_n2) | (~node8(s235)))),
% 6.15/4.83 inference(quant_inst,[status(thm)],[])).
% 6.15/4.83 tff(19078,plain,
% 6.15/4.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s235, c_n2) | (~node8(s235))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19077, 19076])).
% 6.15/4.84 tff(19079,plain,
% 6.15/4.84 (~node8(s235)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19078, 383, 19067])).
% 6.15/4.84 tff(19080,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s235, s236)) | node14(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s235, s236)) | node14(s235, s236))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19081,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s235, s236)) | node14(s235, s236))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19082,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s235, s236)) | node14(s235, s236)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 6.15/4.84 tff(19083,plain,
% 6.15/4.84 (node14(s235, s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19082, 130, 19014])).
% 6.15/4.84 tff(19084,plain,
% 6.15/4.84 (((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, 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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19085,plain,
% 6.15/4.84 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19086,plain,
% 6.15/4.84 ((~![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(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | (~node14(s235, s236)) | m_main_v_state2(s236, c_c2)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19085, 19084])).
% 6.15/4.84 tff(19087,plain,
% 6.15/4.84 ((~m_main_v_state1(s235, c_n1)) | (~m_main_v_state2(s235, c_t2)) | node9(s235) | node8(s235) | node10(s235) | m_main_v_state2(s236, c_c2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19086, 704, 19083])).
% 6.15/4.84 tff(19088,plain,
% 6.15/4.84 (m_main_v_state2(s236, c_c2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19087, 19079, 18951, 19007, 19075, 19071])).
% 6.15/4.84 tff(19089,plain,
% 6.15/4.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19090,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19091,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_n2)) | (~m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19090, 19089])).
% 6.15/4.84 tff(19092,plain,
% 6.15/4.84 (~m_main_v_state2(s236, c_n2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19091, 716, 19088])).
% 6.15/4.84 tff(19093,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s236, c_n2) | (~node4(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s236, c_n2) | (~node4(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19094,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s236, c_n2) | (~node4(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19095,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s236, c_n2) | (~node4(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 6.15/4.84 tff(19096,plain,
% 6.15/4.84 (~node4(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19095, 162, 19092])).
% 6.15/4.84 tff(19097,plain,
% 6.15/4.84 (succ(s236, s237) <=> succ(s236, s237)),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19098,axiom,(succ(s236, s237)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound237')).
% 6.15/4.84 tff(19099,plain,
% 6.15/4.84 (succ(s236, s237)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19098, 19097])).
% 6.15/4.84 tff(19100,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19101,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19102,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 6.15/4.84 tff(19103,plain,
% 6.15/4.84 (trans(s236, s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19102, 19099, 57])).
% 6.15/4.84 tff(19104,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s236, s237)) | node7(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s236, s237)) | node7(s236, s237))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19105,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s236, s237)) | node7(s236, s237))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19106,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s236, s237)) | node7(s236, s237)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 6.15/4.84 tff(19107,plain,
% 6.15/4.84 (node7(s236, s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19106, 217, 19103])).
% 6.15/4.84 tff(19108,plain,
% 6.15/4.84 (((~![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(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))) <=> ((~![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(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19109,plain,
% 6.15/4.84 ((~![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(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19110,plain,
% 6.15/4.84 ((~![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(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237) | (~node7(s236, s237))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 6.15/4.84 tff(19111,plain,
% 6.15/4.84 (m_main_v_state1(s236, c_c1) | node1(s236) | node2(s236) | node3(s236) | node4(s236) | node5(s236) | node6(s236, s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19110, 745, 19107])).
% 6.15/4.84 tff(19112,plain,
% 6.15/4.84 (node6(s236, s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19111, 19096, 19060, 19056, 19052, 19048, 19031])).
% 6.15/4.84 tff(19113,plain,
% 6.15/4.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19114,plain,
% 6.15/4.84 (((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1)) <=> ((~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19115,plain,
% 6.15/4.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, 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(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237))))),
% 6.15/4.84 inference(monotonicity,[status(thm)],[19114])).
% 6.15/4.84 tff(19116,plain,
% 6.15/4.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, 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(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237)))),
% 6.15/4.84 inference(transitivity,[status(thm)],[19115, 19113])).
% 6.15/4.84 tff(19117,plain,
% 6.15/4.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s236, s237)) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19118,plain,
% 6.15/4.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s236, c_t1)) | m_main_v_state1(s237, c_t1) | (~node6(s236, s237))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 6.15/4.84 tff(19119,plain,
% 6.15/4.84 (m_main_v_state1(s237, c_t1)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19118, 760, 19023, 19112])).
% 6.15/4.84 tff(19120,plain,
% 6.15/4.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19121,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19122,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s236, c_t2)) | (~m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19121, 19120])).
% 6.15/4.84 tff(19123,plain,
% 6.15/4.84 (~m_main_v_state2(s236, c_t2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19122, 173, 19088])).
% 6.15/4.84 tff(19124,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s236, c_t2) | (~node12(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s236, c_t2) | (~node12(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19125,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s236, c_t2) | (~node12(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19126,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s236, c_t2) | (~node12(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19125, 19124])).
% 6.15/4.84 tff(19127,plain,
% 6.15/4.84 (~node12(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19126, 778, 19123])).
% 6.15/4.84 tff(19128,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s236, c_n1) | (~node11(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s236, c_n1) | (~node11(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19129,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s236, c_n1) | (~node11(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19130,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s236, c_n1) | (~node11(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 6.15/4.84 tff(19131,plain,
% 6.15/4.84 (~node11(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19130, 361, 19027])).
% 6.15/4.84 tff(19132,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s236, c_c1) | (~node10(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s236, c_c1) | (~node10(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19133,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s236, c_c1) | (~node10(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19134,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s236, c_c1) | (~node10(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 6.15/4.84 tff(19135,plain,
% 6.15/4.84 (~node10(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19134, 793, 19060])).
% 6.15/4.84 tff(19136,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s236, c_n1) | (~node9(s236)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s236, c_n1) | (~node9(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19137,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s236, c_n1) | (~node9(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19138,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s236, c_n1) | (~node9(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 6.15/4.84 tff(19139,plain,
% 6.15/4.84 (~node9(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19138, 804, 19027])).
% 6.15/4.84 tff(19140,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s236, c_n2) | (~node8(s236)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s236, c_n2) | (~node8(s236)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19141,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s236, c_n2) | (~node8(s236)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19142,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s236, c_n2) | (~node8(s236))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 6.15/4.84 tff(19143,plain,
% 6.15/4.84 (~node8(s236)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19142, 383, 19092])).
% 6.15/4.84 tff(19144,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s236, s237)) | node14(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s236, s237)) | node14(s236, s237))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19145,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s236, s237)) | node14(s236, s237))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19146,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s236, s237)) | node14(s236, s237)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19145, 19144])).
% 6.15/4.84 tff(19147,plain,
% 6.15/4.84 (node14(s236, s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19146, 130, 19103])).
% 6.15/4.84 tff(19148,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, 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(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19149,plain,
% 6.15/4.84 (((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2)) <=> (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19150,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, 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(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2))))),
% 6.15/4.84 inference(monotonicity,[status(thm)],[19149])).
% 6.15/4.84 tff(19151,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, 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(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2)))),
% 6.15/4.84 inference(transitivity,[status(thm)],[19150, 19148])).
% 6.15/4.84 tff(19152,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s236, c_c2)) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | m_main_v_state2(s237, c_n2))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19153,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~node14(s236, s237)) | (~m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 6.15/4.84 tff(19154,plain,
% 6.15/4.84 (m_main_v_state2(s237, c_n2) | node9(s236) | node8(s236) | node10(s236) | node11(s236) | node12(s236) | (~m_main_v_state2(s236, c_c2))),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19153, 826, 19147])).
% 6.15/4.84 tff(19155,plain,
% 6.15/4.84 (m_main_v_state2(s237, c_n2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19154, 19143, 19088, 19139, 19135, 19131, 19127])).
% 6.15/4.84 tff(19156,plain,
% 6.15/4.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19157,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19158,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_t2))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 6.15/4.84 tff(19159,plain,
% 6.15/4.84 (~m_main_v_state2(s237, c_t2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19158, 10, 19155])).
% 6.15/4.84 tff(19160,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s237, c_t2) | (~node15(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s237, c_t2) | (~node15(s237)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19161,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s237, c_t2) | (~node15(s237)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19162,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s237, c_t2) | (~node15(s237))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19161, 19160])).
% 6.15/4.84 tff(19163,plain,
% 6.15/4.84 (~node15(s237)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19162, 21, 19159])).
% 6.15/4.84 tff(19164,plain,
% 6.15/4.84 (succ(s237, s238) <=> succ(s237, s238)),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19165,axiom,(succ(s237, s238)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound238')).
% 6.15/4.84 tff(19166,plain,
% 6.15/4.84 (succ(s237, s238)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 6.15/4.84 tff(19167,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19168,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19169,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19168, 19167])).
% 6.15/4.84 tff(19170,plain,
% 6.15/4.84 (trans(s237, s238)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19169, 19166, 57])).
% 6.15/4.84 tff(19171,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s237, s238)) | node18(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s237, s238)) | node18(s237, s238))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19172,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s237, s238)) | node18(s237, s238))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19173,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s237, s238)) | node18(s237, s238)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 6.15/4.84 tff(19174,plain,
% 6.15/4.84 (node18(s237, s238)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19173, 71, 19170])).
% 6.15/4.84 tff(19175,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_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(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, 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(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19176,plain,
% 6.15/4.84 (((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1)) <=> (node15(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19177,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, 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(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)))),
% 6.15/4.84 inference(monotonicity,[status(thm)],[19176])).
% 6.15/4.84 tff(19178,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~m_main_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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, 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(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1))),
% 6.15/4.84 inference(transitivity,[status(thm)],[19177, 19175])).
% 6.15/4.84 tff(19179,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~m_main_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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node15(s237) | (~node18(s237, s238)) | m_main_v_turn(s238, c_1))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19180,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~m_main_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(s237) | (~node18(s237, s238)) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 6.15/4.84 tff(19181,plain,
% 6.15/4.84 (node15(s237) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_turn(s238, c_1)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19180, 863, 19174])).
% 6.15/4.84 tff(19182,plain,
% 6.15/4.84 (m_main_v_turn(s238, c_1)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19181, 19163, 19155, 19119])).
% 6.15/4.84 tff(19183,plain,
% 6.15/4.84 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19184,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19185,plain,
% 6.15/4.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s238, c_1)) | (~m_main_v_turn(s238, c_2))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 6.15/4.84 tff(19186,plain,
% 6.15/4.84 (~m_main_v_turn(s238, c_2)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19185, 322, 19182])).
% 6.15/4.84 tff(19187,plain,
% 6.15/4.84 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s238, c_2) | (~node12(s238)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s238, c_2) | (~node12(s238)))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19188,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s238, c_2) | (~node12(s238)))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19189,plain,
% 6.15/4.84 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s238, c_2) | (~node12(s238))),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 6.15/4.84 tff(19190,plain,
% 6.15/4.84 (~node12(s238)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19189, 350, 19186])).
% 6.15/4.84 tff(19191,plain,
% 6.15/4.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s237, s238)) | node14(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s237, s238)) | node14(s237, s238))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.84 tff(19192,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s237, s238)) | node14(s237, s238))),
% 6.15/4.84 inference(quant_inst,[status(thm)],[])).
% 6.15/4.84 tff(19193,plain,
% 6.15/4.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s237, s238)) | node14(s237, s238)),
% 6.15/4.84 inference(modus_ponens,[status(thm)],[19192, 19191])).
% 6.15/4.84 tff(19194,plain,
% 6.15/4.84 (node14(s237, s238)),
% 6.15/4.84 inference(unit_resolution,[status(thm)],[19193, 130, 19170])).
% 6.15/4.84 tff(19195,plain,
% 6.15/4.84 (((~![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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, 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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))),
% 6.15/4.84 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19196,plain,
% 6.15/4.85 ((~![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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19197,plain,
% 6.15/4.85 ((~![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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | (~node14(s237, s238)) | m_main_v_state2(s238, c_t2)),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19196, 19195])).
% 6.15/4.85 tff(19198,plain,
% 6.15/4.85 ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state2(s238, c_t2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19197, 893, 19194])).
% 6.15/4.85 tff(19199,plain,
% 6.15/4.85 (m_main_v_state2(s238, c_t2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19198, 19119, 19155])).
% 6.15/4.85 tff(19200,plain,
% 6.15/4.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19201,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19202,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s238, c_n2)) | (~m_main_v_state2(s238, c_t2))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19201, 19200])).
% 6.15/4.85 tff(19203,plain,
% 6.15/4.85 (~m_main_v_state2(s238, c_n2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19202, 10, 19199])).
% 6.15/4.85 tff(19204,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s238, c_n2) | (~node8(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s238, c_n2) | (~node8(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19205,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s238, c_n2) | (~node8(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19206,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s238, c_n2) | (~node8(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19205, 19204])).
% 6.15/4.85 tff(19207,plain,
% 6.15/4.85 (~node8(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19206, 383, 19203])).
% 6.15/4.85 tff(19208,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s238, c_n2) | (~node9(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s238, c_n2) | (~node9(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19209,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s238, c_n2) | (~node9(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19210,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s238, c_n2) | (~node9(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 6.15/4.85 tff(19211,plain,
% 6.15/4.85 (~node9(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19210, 311, 19203])).
% 6.15/4.85 tff(19212,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s238, c_n2) | (~node10(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s238, c_n2) | (~node10(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19213,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s238, c_n2) | (~node10(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19214,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s238, c_n2) | (~node10(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 6.15/4.85 tff(19215,plain,
% 6.15/4.85 (~node10(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19214, 372, 19203])).
% 6.15/4.85 tff(19216,plain,
% 6.15/4.85 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19217,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19218,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s238, c_t2)) | (~m_main_v_state2(s238, c_c2))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 6.15/4.85 tff(19219,plain,
% 6.15/4.85 (~m_main_v_state2(s238, c_c2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19218, 173, 19199])).
% 6.15/4.85 tff(19220,plain,
% 6.15/4.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19221,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19222,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s237, c_n2)) | (~m_main_v_state2(s237, c_c2))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 6.15/4.85 tff(19223,plain,
% 6.15/4.85 (~m_main_v_state2(s237, c_c2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19222, 716, 19155])).
% 6.15/4.85 tff(19224,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s237, c_c2) | (~node3(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s237, c_c2) | (~node3(s237)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19225,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s237, c_c2) | (~node3(s237)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19226,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s237, c_c2) | (~node3(s237))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 6.15/4.85 tff(19227,plain,
% 6.15/4.85 (~node3(s237)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19226, 184, 19223])).
% 6.15/4.85 tff(19228,plain,
% 6.15/4.85 (((~![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(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19229,plain,
% 6.15/4.85 (((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1))) <=> (m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19230,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, 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(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237))))),
% 6.15/4.85 inference(monotonicity,[status(thm)],[19229])).
% 6.15/4.85 tff(19231,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, 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(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237)))),
% 6.15/4.85 inference(transitivity,[status(thm)],[19230, 19228])).
% 6.15/4.85 tff(19232,plain,
% 6.15/4.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s236, s237)) | m_main_v_state1(s236, c_n1) | (~m_main_v_state1(s237, c_n1)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19233,plain,
% 6.15/4.85 ((~![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(s236, c_n1) | (~m_main_v_state1(s237, c_n1)) | (~node6(s236, s237))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 6.15/4.85 tff(19234,plain,
% 6.15/4.85 (~m_main_v_state1(s237, c_n1)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19233, 936, 19027, 19112])).
% 6.15/4.85 tff(19235,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s237, c_n1) | (~node2(s237)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s237, c_n1) | (~node2(s237)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19236,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s237, c_n1) | (~node2(s237)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19237,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s237, c_n1) | (~node2(s237))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 6.15/4.85 tff(19238,plain,
% 6.15/4.85 (~node2(s237)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19237, 652, 19234])).
% 6.15/4.85 tff(19239,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s237, c_t2) | (~node1(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s237, c_t2) | (~node1(s237)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19240,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s237, c_t2) | (~node1(s237)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19241,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s237, c_t2) | (~node1(s237))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 6.15/4.85 tff(19242,plain,
% 6.15/4.85 (~node1(s237)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19241, 206, 19159])).
% 6.15/4.85 tff(19243,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s237, s238)) | node7(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s237, s238)) | node7(s237, s238))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19244,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s237, s238)) | node7(s237, s238))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19245,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s237, s238)) | node7(s237, s238)),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19244, 19243])).
% 6.15/4.85 tff(19246,plain,
% 6.15/4.85 (node7(s237, s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19245, 217, 19170])).
% 6.15/4.85 tff(19247,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19248,plain,
% 6.15/4.85 (((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1)) <=> ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19249,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, 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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238))))),
% 6.15/4.85 inference(monotonicity,[status(thm)],[19248])).
% 6.15/4.85 tff(19250,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, 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(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)))),
% 6.15/4.85 inference(transitivity,[status(thm)],[19249, 19247])).
% 6.15/4.85 tff(19251,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238)) | m_main_v_state1(s238, c_c1))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19252,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237) | (~node7(s237, s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 6.15/4.85 tff(19253,plain,
% 6.15/4.85 ((~m_main_v_state1(s237, c_t1)) | (~m_main_v_state2(s237, c_n2)) | m_main_v_state1(s238, c_c1) | node1(s237) | node2(s237) | node3(s237)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19252, 965, 19246])).
% 6.15/4.85 tff(19254,plain,
% 6.15/4.85 (m_main_v_state1(s238, c_c1)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19253, 19242, 19155, 19119, 19238, 19227])).
% 6.15/4.85 tff(19255,plain,
% 6.15/4.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19256,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19257,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_n1)) | (~m_main_v_state1(s238, c_c1))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 6.15/4.85 tff(19258,plain,
% 6.15/4.85 (~m_main_v_state1(s238, c_n1)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19257, 449, 19254])).
% 6.15/4.85 tff(19259,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s238, c_n1) | (~node11(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s238, c_n1) | (~node11(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19260,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s238, c_n1) | (~node11(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19261,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s238, c_n1) | (~node11(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19260, 19259])).
% 6.15/4.85 tff(19262,plain,
% 6.15/4.85 (~node11(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19261, 361, 19258])).
% 6.15/4.85 tff(19263,plain,
% 6.15/4.85 (succ(s238, s239) <=> succ(s238, s239)),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19264,axiom,(succ(s238, s239)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound239')).
% 6.15/4.85 tff(19265,plain,
% 6.15/4.85 (succ(s238, s239)),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19264, 19263])).
% 6.15/4.85 tff(19266,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19267,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19268,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 6.15/4.85 tff(19269,plain,
% 6.15/4.85 (trans(s238, s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19268, 19265, 57])).
% 6.15/4.85 tff(19270,plain,
% 6.15/4.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s238, s239)) | node14(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s238, s239)) | node14(s238, s239))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19271,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s238, s239)) | node14(s238, s239))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19272,plain,
% 6.15/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s238, s239)) | node14(s238, s239)),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 6.15/4.85 tff(19273,plain,
% 6.15/4.85 (node14(s238, s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19272, 130, 19269])).
% 6.15/4.85 tff(19274,plain,
% 6.15/4.85 (((~![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(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))) <=> ((~![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(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19275,plain,
% 6.15/4.85 ((~![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(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19276,plain,
% 6.15/4.85 ((~![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(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239) | (~node14(s238, s239))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 6.15/4.85 tff(19277,plain,
% 6.15/4.85 (m_main_v_state2(s238, c_c2) | node9(s238) | node8(s238) | node10(s238) | node11(s238) | node12(s238) | node13(s238, s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19276, 401, 19273])).
% 6.15/4.85 tff(19278,plain,
% 6.15/4.85 (node13(s238, s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19277, 19262, 19219, 19215, 19211, 19207, 19190])).
% 6.15/4.85 tff(19279,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19280,plain,
% 6.15/4.85 (((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2))) <=> (m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19281,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, 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(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239))))),
% 6.15/4.85 inference(monotonicity,[status(thm)],[19280])).
% 6.15/4.85 tff(19282,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, 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(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239)))),
% 6.15/4.85 inference(transitivity,[status(thm)],[19281, 19279])).
% 6.15/4.85 tff(19283,plain,
% 6.15/4.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s238, s239)) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19284,plain,
% 6.15/4.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s238, c_n2) | (~m_main_v_state2(s239, c_n2)) | (~node13(s238, s239))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19283, 19282])).
% 6.15/4.85 tff(19285,plain,
% 6.15/4.85 (~m_main_v_state2(s239, c_n2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19284, 416, 19203, 19278])).
% 6.15/4.85 tff(19286,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s239, c_n2) | (~node9(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s239, c_n2) | (~node9(s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19287,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s239, c_n2) | (~node9(s239)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19288,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s239, c_n2) | (~node9(s239))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 6.15/4.85 tff(19289,plain,
% 6.15/4.85 (~node9(s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19288, 311, 19285])).
% 6.15/4.85 tff(19290,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s239, c_n2) | (~node10(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s239, c_n2) | (~node10(s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19291,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s239, c_n2) | (~node10(s239)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19292,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s239, c_n2) | (~node10(s239))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 6.15/4.85 tff(19293,plain,
% 6.15/4.85 (~node10(s239)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19292, 372, 19285])).
% 6.15/4.85 tff(19294,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19295,plain,
% 6.15/4.85 (((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2)) <=> ((~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19296,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, 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(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239))))),
% 6.15/4.85 inference(monotonicity,[status(thm)],[19295])).
% 6.15/4.85 tff(19297,plain,
% 6.15/4.85 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, 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(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239)))),
% 6.15/4.85 inference(transitivity,[status(thm)],[19296, 19294])).
% 6.15/4.85 tff(19298,plain,
% 6.15/4.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s238, s239)) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19299,plain,
% 6.15/4.85 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s238, c_t2)) | m_main_v_state2(s239, c_t2) | (~node13(s238, s239))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19298, 19297])).
% 6.15/4.85 tff(19300,plain,
% 6.15/4.85 (m_main_v_state2(s239, c_t2)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19299, 563, 19199, 19278])).
% 6.15/4.85 tff(19301,plain,
% 6.15/4.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19302,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19303,plain,
% 6.15/4.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s238, c_t1)) | (~m_main_v_state1(s238, c_c1))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19302, 19301])).
% 6.15/4.85 tff(19304,plain,
% 6.15/4.85 (~m_main_v_state1(s238, c_t1)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19303, 289, 19254])).
% 6.15/4.85 tff(19305,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s238, c_t1) | (~node5(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s238, c_t1) | (~node5(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19306,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s238, c_t1) | (~node5(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19307,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s238, c_t1) | (~node5(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 6.15/4.85 tff(19308,plain,
% 6.15/4.85 (~node5(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19307, 300, 19304])).
% 6.15/4.85 tff(19309,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s238, c_n2) | (~node4(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s238, c_n2) | (~node4(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19310,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s238, c_n2) | (~node4(s238)))),
% 6.15/4.85 inference(quant_inst,[status(thm)],[])).
% 6.15/4.85 tff(19311,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s238, c_n2) | (~node4(s238))),
% 6.15/4.85 inference(modus_ponens,[status(thm)],[19310, 19309])).
% 6.15/4.85 tff(19312,plain,
% 6.15/4.85 (~node4(s238)),
% 6.15/4.85 inference(unit_resolution,[status(thm)],[19311, 162, 19203])).
% 6.15/4.85 tff(19313,plain,
% 6.15/4.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s238, c_c2) | (~node3(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s238, c_c2) | (~node3(s238)))),
% 6.15/4.85 inference(rewrite,[status(thm)],[])).
% 6.15/4.85 tff(19314,plain,
% 6.15/4.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s238, c_c2) | (~node3(s238)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19315,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s238, c_c2) | (~node3(s238))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 6.15/4.86 tff(19316,plain,
% 6.15/4.86 (~node3(s238)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19315, 184, 19219])).
% 6.15/4.86 tff(19317,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s238, c_n2) | (~node2(s238)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s238, c_n2) | (~node2(s238)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19318,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s238, c_n2) | (~node2(s238)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19319,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s238, c_n2) | (~node2(s238))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 6.15/4.86 tff(19320,plain,
% 6.15/4.86 (~node2(s238)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19319, 195, 19203])).
% 6.15/4.86 tff(19321,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s238, c_n1) | (~node1(s238)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s238, c_n1) | (~node1(s238)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19322,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s238, c_n1) | (~node1(s238)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19323,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s238, c_n1) | (~node1(s238))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19322, 19321])).
% 6.15/4.86 tff(19324,plain,
% 6.15/4.86 (~node1(s238)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19323, 249, 19258])).
% 6.15/4.86 tff(19325,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s238, s239)) | node7(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s238, s239)) | node7(s238, s239))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19326,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s238, s239)) | node7(s238, s239))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19327,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s238, s239)) | node7(s238, s239)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 6.15/4.86 tff(19328,plain,
% 6.15/4.86 (node7(s238, s239)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19327, 217, 19269])).
% 6.15/4.86 tff(19329,plain,
% 6.15/4.86 (((~![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(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19330,plain,
% 6.15/4.86 (((~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1)) <=> (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19331,plain,
% 6.15/4.86 (((~![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(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, 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(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239))))),
% 6.15/4.86 inference(monotonicity,[status(thm)],[19330])).
% 6.15/4.86 tff(19332,plain,
% 6.15/4.86 (((~![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(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, 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(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)))),
% 6.15/4.86 inference(transitivity,[status(thm)],[19331, 19329])).
% 6.15/4.86 tff(19333,plain,
% 6.15/4.86 ((~![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(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239)) | m_main_v_state1(s239, c_n1))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19334,plain,
% 6.15/4.86 ((~![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(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238) | (~node7(s238, s239))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 6.15/4.86 tff(19335,plain,
% 6.15/4.86 (m_main_v_state1(s239, c_n1) | (~m_main_v_state1(s238, c_c1)) | node1(s238) | node2(s238) | node3(s238) | node4(s238) | node5(s238)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19334, 478, 19328])).
% 6.15/4.86 tff(19336,plain,
% 6.15/4.86 (m_main_v_state1(s239, c_n1)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19335, 19324, 19254, 19320, 19316, 19312, 19308])).
% 6.15/4.86 tff(19337,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s239, c_n2) | (~node8(s239)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s239, c_n2) | (~node8(s239)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19338,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s239, c_n2) | (~node8(s239)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19339,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s239, c_n2) | (~node8(s239))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 6.15/4.86 tff(19340,plain,
% 6.15/4.86 (~node8(s239)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19339, 383, 19285])).
% 6.15/4.86 tff(19341,plain,
% 6.15/4.86 (succ(s239, s240) <=> succ(s239, s240)),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19342,axiom,(succ(s239, s240)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound240')).
% 6.15/4.86 tff(19343,plain,
% 6.15/4.86 (succ(s239, s240)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 6.15/4.86 tff(19344,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19345,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19346,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19345, 19344])).
% 6.15/4.86 tff(19347,plain,
% 6.15/4.86 (trans(s239, s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19346, 19343, 57])).
% 6.15/4.86 tff(19348,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s239, s240)) | node14(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s239, s240)) | node14(s239, s240))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19349,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s239, s240)) | node14(s239, s240))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19350,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s239, s240)) | node14(s239, s240)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 6.15/4.86 tff(19351,plain,
% 6.15/4.86 (node14(s239, s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19350, 130, 19347])).
% 6.15/4.86 tff(19352,plain,
% 6.15/4.86 (((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, 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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19353,plain,
% 6.15/4.86 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19354,plain,
% 6.15/4.86 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | (~node14(s239, s240)) | m_main_v_state2(s240, c_c2)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19353, 19352])).
% 6.15/4.86 tff(19355,plain,
% 6.15/4.86 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | node9(s239) | node8(s239) | node10(s239) | m_main_v_state2(s240, c_c2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19354, 704, 19351])).
% 6.15/4.86 tff(19356,plain,
% 6.15/4.86 (m_main_v_state2(s240, c_c2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19355, 19340, 19336, 19300, 19293, 19289])).
% 6.15/4.86 tff(19357,plain,
% 6.15/4.86 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19358,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19359,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_t2)) | (~m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 6.15/4.86 tff(19360,plain,
% 6.15/4.86 (~m_main_v_state2(s240, c_t2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19359, 173, 19356])).
% 6.15/4.86 tff(19361,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s240, c_t2) | (~node12(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s240, c_t2) | (~node12(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19362,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s240, c_t2) | (~node12(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19363,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s240, c_t2) | (~node12(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 6.15/4.86 tff(19364,plain,
% 6.15/4.86 (~node12(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19363, 778, 19360])).
% 6.15/4.86 tff(19365,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s239, s240)) | node7(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s239, s240)) | node7(s239, s240))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19366,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s239, s240)) | node7(s239, s240))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19367,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s239, s240)) | node7(s239, s240)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 6.15/4.86 tff(19368,plain,
% 6.15/4.86 (node7(s239, s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19367, 217, 19347])).
% 6.15/4.86 tff(19369,plain,
% 6.15/4.86 (((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, 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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19370,plain,
% 6.15/4.86 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19371,plain,
% 6.15/4.86 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node7(s239, s240)) | m_main_v_state1(s240, c_t1)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 6.15/4.86 tff(19372,plain,
% 6.15/4.86 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_state1(s240, c_t1)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19371, 598, 19368])).
% 6.15/4.86 tff(19373,plain,
% 6.15/4.86 (m_main_v_state1(s240, c_t1)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19372, 19300, 19336])).
% 6.15/4.86 tff(19374,plain,
% 6.15/4.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19375,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19376,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s240, c_n1)) | (~m_main_v_state1(s240, c_t1))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19375, 19374])).
% 6.15/4.86 tff(19377,plain,
% 6.15/4.86 (~m_main_v_state1(s240, c_n1)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19376, 35, 19373])).
% 6.15/4.86 tff(19378,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s240, c_n1) | (~node11(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s240, c_n1) | (~node11(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19379,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s240, c_n1) | (~node11(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19380,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s240, c_n1) | (~node11(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 6.15/4.86 tff(19381,plain,
% 6.15/4.86 (~node11(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19380, 361, 19377])).
% 6.15/4.86 tff(19382,plain,
% 6.15/4.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19383,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19384,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s240, c_t1)) | (~m_main_v_state1(s240, c_c1))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19383, 19382])).
% 6.15/4.86 tff(19385,plain,
% 6.15/4.86 (~m_main_v_state1(s240, c_c1)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19384, 289, 19373])).
% 6.15/4.86 tff(19386,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s240, c_c1) | (~node10(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s240, c_c1) | (~node10(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19387,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s240, c_c1) | (~node10(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19388,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s240, c_c1) | (~node10(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 6.15/4.86 tff(19389,plain,
% 6.15/4.86 (~node10(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19388, 793, 19385])).
% 6.15/4.86 tff(19390,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s240, c_n1) | (~node9(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s240, c_n1) | (~node9(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19391,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s240, c_n1) | (~node9(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19392,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s240, c_n1) | (~node9(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19391, 19390])).
% 6.15/4.86 tff(19393,plain,
% 6.15/4.86 (~node9(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19392, 804, 19377])).
% 6.15/4.86 tff(19394,plain,
% 6.15/4.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19395,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19396,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s240, c_n2)) | (~m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19395, 19394])).
% 6.15/4.86 tff(19397,plain,
% 6.15/4.86 (~m_main_v_state2(s240, c_n2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19396, 716, 19356])).
% 6.15/4.86 tff(19398,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s240, c_n2) | (~node8(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s240, c_n2) | (~node8(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19399,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s240, c_n2) | (~node8(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19400,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s240, c_n2) | (~node8(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19399, 19398])).
% 6.15/4.86 tff(19401,plain,
% 6.15/4.86 (~node8(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19400, 383, 19397])).
% 6.15/4.86 tff(19402,plain,
% 6.15/4.86 (succ(s240, s241) <=> succ(s240, s241)),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19403,axiom,(succ(s240, s241)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound241')).
% 6.15/4.86 tff(19404,plain,
% 6.15/4.86 (succ(s240, s241)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19403, 19402])).
% 6.15/4.86 tff(19405,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19406,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19407,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19406, 19405])).
% 6.15/4.86 tff(19408,plain,
% 6.15/4.86 (trans(s240, s241)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19407, 19404, 57])).
% 6.15/4.86 tff(19409,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s240, s241)) | node14(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s240, s241)) | node14(s240, s241))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19410,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s240, s241)) | node14(s240, s241))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19411,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s240, s241)) | node14(s240, s241)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 6.15/4.86 tff(19412,plain,
% 6.15/4.86 (node14(s240, s241)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19411, 130, 19408])).
% 6.15/4.86 tff(19413,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, 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(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19414,plain,
% 6.15/4.86 (((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2)) <=> (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19415,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, 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(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2))))),
% 6.15/4.86 inference(monotonicity,[status(thm)],[19414])).
% 6.15/4.86 tff(19416,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, 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(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2)))),
% 6.15/4.86 inference(transitivity,[status(thm)],[19415, 19413])).
% 6.15/4.86 tff(19417,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s240, c_c2)) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | m_main_v_state2(s241, c_n2))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19418,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~node14(s240, s241)) | (~m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 6.15/4.86 tff(19419,plain,
% 6.15/4.86 (m_main_v_state2(s241, c_n2) | node9(s240) | node8(s240) | node10(s240) | node11(s240) | node12(s240) | (~m_main_v_state2(s240, c_c2))),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19418, 826, 19412])).
% 6.15/4.86 tff(19420,plain,
% 6.15/4.86 (m_main_v_state2(s241, c_n2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19419, 19401, 19356, 19393, 19389, 19381, 19364])).
% 6.15/4.86 tff(19421,plain,
% 6.15/4.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19422,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19423,plain,
% 6.15/4.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_c2))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19422, 19421])).
% 6.15/4.86 tff(19424,plain,
% 6.15/4.86 (~m_main_v_state2(s241, c_c2)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19423, 716, 19420])).
% 6.15/4.86 tff(19425,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s241, c_c2) | (~node3(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s241, c_c2) | (~node3(s241)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19426,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s241, c_c2) | (~node3(s241)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19427,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s241, c_c2) | (~node3(s241))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19426, 19425])).
% 6.15/4.86 tff(19428,plain,
% 6.15/4.86 (~node3(s241)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19427, 184, 19424])).
% 6.15/4.86 tff(19429,plain,
% 6.15/4.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s240, c_n1) | (~node1(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s240, c_n1) | (~node1(s240)))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19430,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s240, c_n1) | (~node1(s240)))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19431,plain,
% 6.15/4.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s240, c_n1) | (~node1(s240))),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 6.15/4.86 tff(19432,plain,
% 6.15/4.86 (~node1(s240)),
% 6.15/4.86 inference(unit_resolution,[status(thm)],[19431, 249, 19377])).
% 6.15/4.86 tff(19433,plain,
% 6.15/4.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s239, s240)) | node18(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s239, s240)) | node18(s239, s240))),
% 6.15/4.86 inference(rewrite,[status(thm)],[])).
% 6.15/4.86 tff(19434,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s239, s240)) | node18(s239, s240))),
% 6.15/4.86 inference(quant_inst,[status(thm)],[])).
% 6.15/4.86 tff(19435,plain,
% 6.15/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s239, s240)) | node18(s239, s240)),
% 6.15/4.86 inference(modus_ponens,[status(thm)],[19434, 19433])).
% 6.15/4.87 tff(19436,plain,
% 6.15/4.87 (node18(s239, s240)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19435, 71, 19347])).
% 6.15/4.87 tff(19437,plain,
% 6.15/4.87 (((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, 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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19438,plain,
% 6.15/4.87 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19439,plain,
% 6.15/4.87 ((~![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(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | (~node18(s239, s240)) | m_main_v_turn(s240, c_2)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 6.15/4.87 tff(19440,plain,
% 6.15/4.87 ((~m_main_v_state1(s239, c_n1)) | (~m_main_v_state2(s239, c_t2)) | m_main_v_turn(s240, c_2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19439, 625, 19436])).
% 6.15/4.87 tff(19441,plain,
% 6.15/4.87 (m_main_v_turn(s240, c_2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19440, 19300, 19336])).
% 6.15/4.87 tff(19442,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19443,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19444,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s240, c_1)) | (~m_main_v_turn(s240, c_2))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19443, 19442])).
% 6.15/4.87 tff(19445,plain,
% 6.15/4.87 (~m_main_v_turn(s240, c_1)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19444, 322, 19441])).
% 6.15/4.87 tff(19446,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s240, c_1) | (~node5(s240)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s240, c_1) | (~node5(s240)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19447,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s240, c_1) | (~node5(s240)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19448,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s240, c_1) | (~node5(s240))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 6.15/4.87 tff(19449,plain,
% 6.15/4.87 (~node5(s240)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19448, 641, 19445])).
% 6.15/4.87 tff(19450,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s240, c_n1) | (~node2(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s240, c_n1) | (~node2(s240)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19451,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s240, c_n1) | (~node2(s240)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19452,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s240, c_n1) | (~node2(s240))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19451, 19450])).
% 6.15/4.87 tff(19453,plain,
% 6.15/4.87 (~node2(s240)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19452, 652, 19377])).
% 6.15/4.87 tff(19454,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s240, c_n1) | (~node3(s240)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s240, c_n1) | (~node3(s240)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19455,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s240, c_n1) | (~node3(s240)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19456,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s240, c_n1) | (~node3(s240))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19455, 19454])).
% 6.15/4.87 tff(19457,plain,
% 6.15/4.87 (~node3(s240)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19456, 663, 19377])).
% 6.15/4.87 tff(19458,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s240, c_n2) | (~node4(s240)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s240, c_n2) | (~node4(s240)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19459,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s240, c_n2) | (~node4(s240)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19460,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s240, c_n2) | (~node4(s240))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19459, 19458])).
% 6.15/4.87 tff(19461,plain,
% 6.15/4.87 (~node4(s240)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19460, 162, 19397])).
% 6.15/4.87 tff(19462,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s240, s241)) | node7(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s240, s241)) | node7(s240, s241))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19463,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s240, s241)) | node7(s240, s241))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19464,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s240, s241)) | node7(s240, s241)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 6.15/4.87 tff(19465,plain,
% 6.15/4.87 (node7(s240, s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19464, 217, 19408])).
% 6.15/4.87 tff(19466,plain,
% 6.15/4.87 (((~![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(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))) <=> ((~![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(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19467,plain,
% 6.15/4.87 ((~![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(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19468,plain,
% 6.15/4.87 ((~![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(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241) | (~node7(s240, s241))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 6.15/4.87 tff(19469,plain,
% 6.15/4.87 (m_main_v_state1(s240, c_c1) | node1(s240) | node2(s240) | node3(s240) | node4(s240) | node5(s240) | node6(s240, s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19468, 745, 19465])).
% 6.15/4.87 tff(19470,plain,
% 6.15/4.87 (node6(s240, s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19469, 19461, 19385, 19457, 19453, 19449, 19432])).
% 6.15/4.87 tff(19471,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19472,plain,
% 6.15/4.87 (((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1))) <=> (m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19473,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, 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(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241))))),
% 6.15/4.87 inference(monotonicity,[status(thm)],[19472])).
% 6.15/4.87 tff(19474,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, 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(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241)))),
% 6.15/4.87 inference(transitivity,[status(thm)],[19473, 19471])).
% 6.15/4.87 tff(19475,plain,
% 6.15/4.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s240, s241)) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19476,plain,
% 6.15/4.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s240, c_n1) | (~m_main_v_state1(s241, c_n1)) | (~node6(s240, s241))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19475, 19474])).
% 6.15/4.87 tff(19477,plain,
% 6.15/4.87 (~m_main_v_state1(s241, c_n1)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19476, 936, 19377, 19470])).
% 6.15/4.87 tff(19478,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s241, c_n1) | (~node2(s241)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s241, c_n1) | (~node2(s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19479,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s241, c_n1) | (~node2(s241)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19480,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s241, c_n1) | (~node2(s241))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 6.15/4.87 tff(19481,plain,
% 6.15/4.87 (~node2(s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19480, 652, 19477])).
% 6.15/4.87 tff(19482,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19483,plain,
% 6.15/4.87 (((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1)) <=> ((~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19484,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, 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(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241))))),
% 6.15/4.87 inference(monotonicity,[status(thm)],[19483])).
% 6.15/4.87 tff(19485,plain,
% 6.15/4.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, 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(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241)))),
% 6.15/4.87 inference(transitivity,[status(thm)],[19484, 19482])).
% 6.15/4.87 tff(19486,plain,
% 6.15/4.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s240, s241)) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19487,plain,
% 6.15/4.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s240, c_t1)) | m_main_v_state1(s241, c_t1) | (~node6(s240, s241))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 6.15/4.87 tff(19488,plain,
% 6.15/4.87 (m_main_v_state1(s241, c_t1)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19487, 760, 19373, 19470])).
% 6.15/4.87 tff(19489,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19490,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19491,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s241, c_n2)) | (~m_main_v_state2(s241, c_t2))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19490, 19489])).
% 6.15/4.87 tff(19492,plain,
% 6.15/4.87 (~m_main_v_state2(s241, c_t2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19491, 10, 19420])).
% 6.15/4.87 tff(19493,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s241, c_t2) | (~node1(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s241, c_t2) | (~node1(s241)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19494,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s241, c_t2) | (~node1(s241)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19495,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s241, c_t2) | (~node1(s241))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19494, 19493])).
% 6.15/4.87 tff(19496,plain,
% 6.15/4.87 (~node1(s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19495, 206, 19492])).
% 6.15/4.87 tff(19497,plain,
% 6.15/4.87 (succ(s241, s242) <=> succ(s241, s242)),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19498,axiom,(succ(s241, s242)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound242')).
% 6.15/4.87 tff(19499,plain,
% 6.15/4.87 (succ(s241, s242)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 6.15/4.87 tff(19500,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19501,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19502,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 6.15/4.87 tff(19503,plain,
% 6.15/4.87 (trans(s241, s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19502, 19499, 57])).
% 6.15/4.87 tff(19504,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s241, s242)) | node7(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s241, s242)) | node7(s241, s242))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19505,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s241, s242)) | node7(s241, s242))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19506,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s241, s242)) | node7(s241, s242)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 6.15/4.87 tff(19507,plain,
% 6.15/4.87 (node7(s241, s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19506, 217, 19503])).
% 6.15/4.87 tff(19508,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19509,plain,
% 6.15/4.87 (((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1)) <=> ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19510,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, 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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242))))),
% 6.15/4.87 inference(monotonicity,[status(thm)],[19509])).
% 6.15/4.87 tff(19511,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, 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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)))),
% 6.15/4.87 inference(transitivity,[status(thm)],[19510, 19508])).
% 6.15/4.87 tff(19512,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242)) | m_main_v_state1(s242, c_c1))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19513,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241) | (~node7(s241, s242))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 6.15/4.87 tff(19514,plain,
% 6.15/4.87 ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state1(s242, c_c1) | node1(s241) | node2(s241) | node3(s241)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19513, 965, 19507])).
% 6.15/4.87 tff(19515,plain,
% 6.15/4.87 (m_main_v_state1(s242, c_c1)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19514, 19496, 19420, 19488, 19481, 19428])).
% 6.15/4.87 tff(19516,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19517,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19518,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_t1)) | (~m_main_v_state1(s242, c_c1))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 6.15/4.87 tff(19519,plain,
% 6.15/4.87 (~m_main_v_state1(s242, c_t1)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19518, 289, 19515])).
% 6.15/4.87 tff(19520,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s242, c_t1) | (~node5(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s242, c_t1) | (~node5(s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19521,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s242, c_t1) | (~node5(s242)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19522,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s242, c_t1) | (~node5(s242))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19521, 19520])).
% 6.15/4.87 tff(19523,plain,
% 6.15/4.87 (~node5(s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19522, 300, 19519])).
% 6.15/4.87 tff(19524,plain,
% 6.15/4.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s241, s242)) | node14(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s241, s242)) | node14(s241, s242))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19525,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s241, s242)) | node14(s241, s242))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19526,plain,
% 6.15/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s241, s242)) | node14(s241, s242)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19525, 19524])).
% 6.15/4.87 tff(19527,plain,
% 6.15/4.87 (node14(s241, s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19526, 130, 19503])).
% 6.15/4.87 tff(19528,plain,
% 6.15/4.87 (((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, 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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19529,plain,
% 6.15/4.87 ((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19530,plain,
% 6.15/4.87 ((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | (~node14(s241, s242)) | m_main_v_state2(s242, c_t2)),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 6.15/4.87 tff(19531,plain,
% 6.15/4.87 ((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_state2(s242, c_t2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19530, 893, 19527])).
% 6.15/4.87 tff(19532,plain,
% 6.15/4.87 (m_main_v_state2(s242, c_t2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19531, 19488, 19420])).
% 6.15/4.87 tff(19533,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19534,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19535,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s242, c_n2)) | (~m_main_v_state2(s242, c_t2))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19534, 19533])).
% 6.15/4.87 tff(19536,plain,
% 6.15/4.87 (~m_main_v_state2(s242, c_n2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19535, 10, 19532])).
% 6.15/4.87 tff(19537,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s242, c_n2) | (~node4(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s242, c_n2) | (~node4(s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19538,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s242, c_n2) | (~node4(s242)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19539,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s242, c_n2) | (~node4(s242))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19538, 19537])).
% 6.15/4.87 tff(19540,plain,
% 6.15/4.87 (~node4(s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19539, 162, 19536])).
% 6.15/4.87 tff(19541,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19542,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19543,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s242, c_t2)) | (~m_main_v_state2(s242, c_c2))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 6.15/4.87 tff(19544,plain,
% 6.15/4.87 (~m_main_v_state2(s242, c_c2)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19543, 173, 19532])).
% 6.15/4.87 tff(19545,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s242, c_c2) | (~node3(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s242, c_c2) | (~node3(s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19546,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s242, c_c2) | (~node3(s242)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19547,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s242, c_c2) | (~node3(s242))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19546, 19545])).
% 6.15/4.87 tff(19548,plain,
% 6.15/4.87 (~node3(s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19547, 184, 19544])).
% 6.15/4.87 tff(19549,plain,
% 6.15/4.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s242, c_n2) | (~node2(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s242, c_n2) | (~node2(s242)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19550,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s242, c_n2) | (~node2(s242)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19551,plain,
% 6.15/4.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s242, c_n2) | (~node2(s242))),
% 6.15/4.87 inference(modus_ponens,[status(thm)],[19550, 19549])).
% 6.15/4.87 tff(19552,plain,
% 6.15/4.87 (~node2(s242)),
% 6.15/4.87 inference(unit_resolution,[status(thm)],[19551, 195, 19536])).
% 6.15/4.87 tff(19553,plain,
% 6.15/4.87 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))),
% 6.15/4.87 inference(rewrite,[status(thm)],[])).
% 6.15/4.87 tff(19554,plain,
% 6.15/4.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1)))),
% 6.15/4.87 inference(quant_inst,[status(thm)],[])).
% 6.15/4.87 tff(19555,plain,
% 6.15/4.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s242, c_n1)) | (~m_main_v_state1(s242, c_c1))),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 6.15/4.88 tff(19556,plain,
% 6.15/4.88 (~m_main_v_state1(s242, c_n1)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19555, 449, 19515])).
% 6.15/4.88 tff(19557,plain,
% 6.15/4.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s242, c_n1) | (~node1(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s242, c_n1) | (~node1(s242)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19558,plain,
% 6.15/4.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s242, c_n1) | (~node1(s242)))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19559,plain,
% 6.15/4.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s242, c_n1) | (~node1(s242))),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19558, 19557])).
% 6.15/4.88 tff(19560,plain,
% 6.15/4.88 (~node1(s242)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19559, 249, 19556])).
% 6.15/4.88 tff(19561,plain,
% 6.15/4.88 (succ(s242, s243) <=> succ(s242, s243)),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19562,axiom,(succ(s242, s243)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound243')).
% 6.15/4.88 tff(19563,plain,
% 6.15/4.88 (succ(s242, s243)),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 6.15/4.88 tff(19564,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19565,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19566,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 6.15/4.88 tff(19567,plain,
% 6.15/4.88 (trans(s242, s243)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19566, 19563, 57])).
% 6.15/4.88 tff(19568,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s242, s243)) | node7(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s242, s243)) | node7(s242, s243))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19569,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s242, s243)) | node7(s242, s243))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19570,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s242, s243)) | node7(s242, s243)),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 6.15/4.88 tff(19571,plain,
% 6.15/4.88 (node7(s242, s243)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19570, 217, 19567])).
% 6.15/4.88 tff(19572,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19573,plain,
% 6.15/4.88 (((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1)) <=> (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19574,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, 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(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243))))),
% 6.15/4.88 inference(monotonicity,[status(thm)],[19573])).
% 6.15/4.88 tff(19575,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, 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(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)))),
% 6.15/4.88 inference(transitivity,[status(thm)],[19574, 19572])).
% 6.15/4.88 tff(19576,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243)) | m_main_v_state1(s243, c_n1))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19577,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242) | (~node7(s242, s243))),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19576, 19575])).
% 6.15/4.88 tff(19578,plain,
% 6.15/4.88 (m_main_v_state1(s243, c_n1) | (~m_main_v_state1(s242, c_c1)) | node1(s242) | node2(s242) | node3(s242) | node4(s242) | node5(s242)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19577, 478, 19571])).
% 6.15/4.88 tff(19579,plain,
% 6.15/4.88 (m_main_v_state1(s243, c_n1)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19578, 19560, 19515, 19552, 19548, 19540, 19523])).
% 6.15/4.88 tff(19580,plain,
% 6.15/4.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s241, c_t2) | (~node15(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s241, c_t2) | (~node15(s241)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19581,plain,
% 6.15/4.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s241, c_t2) | (~node15(s241)))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19582,plain,
% 6.15/4.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s241, c_t2) | (~node15(s241))),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19581, 19580])).
% 6.15/4.88 tff(19583,plain,
% 6.15/4.88 (~node15(s241)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19582, 21, 19492])).
% 6.15/4.88 tff(19584,plain,
% 6.15/4.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s241, s242)) | node18(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s241, s242)) | node18(s241, s242))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19585,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s241, s242)) | node18(s241, s242))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19586,plain,
% 6.15/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s241, s242)) | node18(s241, s242)),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 6.15/4.88 tff(19587,plain,
% 6.15/4.88 (node18(s241, s242)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19586, 71, 19503])).
% 6.15/4.88 tff(19588,plain,
% 6.15/4.88 (((~![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(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, 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(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19589,plain,
% 6.15/4.88 (((~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1)) <=> (node15(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19590,plain,
% 6.15/4.88 (((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, 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(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)))),
% 6.15/4.88 inference(monotonicity,[status(thm)],[19589])).
% 6.15/4.88 tff(19591,plain,
% 6.15/4.88 (((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, 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(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1))),
% 6.15/4.88 inference(transitivity,[status(thm)],[19590, 19588])).
% 6.15/4.88 tff(19592,plain,
% 6.15/4.88 ((~![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(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | node15(s241) | (~node18(s241, s242)) | m_main_v_turn(s242, c_1))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19593,plain,
% 6.15/4.88 ((~![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(s241) | (~node18(s241, s242)) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 6.15/4.88 tff(19594,plain,
% 6.15/4.88 (node15(s241) | (~m_main_v_state1(s241, c_t1)) | (~m_main_v_state2(s241, c_n2)) | m_main_v_turn(s242, c_1)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19593, 863, 19587])).
% 6.15/4.88 tff(19595,plain,
% 6.15/4.88 (m_main_v_turn(s242, c_1)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19594, 19583, 19420, 19488])).
% 6.15/4.88 tff(19596,plain,
% 6.15/4.88 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19597,plain,
% 6.15/4.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2)))),
% 6.15/4.88 inference(quant_inst,[status(thm)],[])).
% 6.15/4.88 tff(19598,plain,
% 6.15/4.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s242, c_1)) | (~m_main_v_turn(s242, c_2))),
% 6.15/4.88 inference(modus_ponens,[status(thm)],[19597, 19596])).
% 6.15/4.88 tff(19599,plain,
% 6.15/4.88 (~m_main_v_turn(s242, c_2)),
% 6.15/4.88 inference(unit_resolution,[status(thm)],[19598, 322, 19595])).
% 6.15/4.88 tff(19600,plain,
% 6.15/4.88 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s242, c_2) | (~node12(s242)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s242, c_2) | (~node12(s242)))),
% 6.15/4.88 inference(rewrite,[status(thm)],[])).
% 6.15/4.88 tff(19601,plain,
% 6.15/4.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s242, c_2) | (~node12(s242)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19602,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s242, c_2) | (~node12(s242))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 6.25/4.88 tff(19603,plain,
% 6.25/4.88 (~node12(s242)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19602, 350, 19599])).
% 6.25/4.88 tff(19604,plain,
% 6.25/4.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s242, c_n2) | (~node8(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s242, c_n2) | (~node8(s242)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19605,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s242, c_n2) | (~node8(s242)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19606,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s242, c_n2) | (~node8(s242))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19605, 19604])).
% 6.25/4.88 tff(19607,plain,
% 6.25/4.88 (~node8(s242)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19606, 383, 19536])).
% 6.25/4.88 tff(19608,plain,
% 6.25/4.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s242, c_n2) | (~node9(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s242, c_n2) | (~node9(s242)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19609,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s242, c_n2) | (~node9(s242)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19610,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s242, c_n2) | (~node9(s242))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 6.25/4.88 tff(19611,plain,
% 6.25/4.88 (~node9(s242)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19610, 311, 19536])).
% 6.25/4.88 tff(19612,plain,
% 6.25/4.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s242, c_n2) | (~node10(s242)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s242, c_n2) | (~node10(s242)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19613,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s242, c_n2) | (~node10(s242)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19614,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s242, c_n2) | (~node10(s242))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19613, 19612])).
% 6.25/4.88 tff(19615,plain,
% 6.25/4.88 (~node10(s242)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19614, 372, 19536])).
% 6.25/4.88 tff(19616,plain,
% 6.25/4.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s242, c_n1) | (~node11(s242)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s242, c_n1) | (~node11(s242)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19617,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s242, c_n1) | (~node11(s242)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19618,plain,
% 6.25/4.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s242, c_n1) | (~node11(s242))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19617, 19616])).
% 6.25/4.88 tff(19619,plain,
% 6.25/4.88 (~node11(s242)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19618, 361, 19556])).
% 6.25/4.88 tff(19620,plain,
% 6.25/4.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s242, s243)) | node14(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s242, s243)) | node14(s242, s243))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19621,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s242, s243)) | node14(s242, s243))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19622,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s242, s243)) | node14(s242, s243)),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 6.25/4.88 tff(19623,plain,
% 6.25/4.88 (node14(s242, s243)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19622, 130, 19567])).
% 6.25/4.88 tff(19624,plain,
% 6.25/4.88 (((~![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(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))) <=> ((~![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(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19625,plain,
% 6.25/4.88 ((~![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(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19626,plain,
% 6.25/4.88 ((~![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(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243) | (~node14(s242, s243))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 6.25/4.88 tff(19627,plain,
% 6.25/4.88 (m_main_v_state2(s242, c_c2) | node9(s242) | node8(s242) | node10(s242) | node11(s242) | node12(s242) | node13(s242, s243)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19626, 401, 19623])).
% 6.25/4.88 tff(19628,plain,
% 6.25/4.88 (node13(s242, s243)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19627, 19619, 19544, 19615, 19611, 19607, 19603])).
% 6.25/4.88 tff(19629,plain,
% 6.25/4.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19630,plain,
% 6.25/4.88 (((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2)) <=> ((~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19631,plain,
% 6.25/4.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, 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(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243))))),
% 6.25/4.88 inference(monotonicity,[status(thm)],[19630])).
% 6.25/4.88 tff(19632,plain,
% 6.25/4.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, 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(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243)))),
% 6.25/4.88 inference(transitivity,[status(thm)],[19631, 19629])).
% 6.25/4.88 tff(19633,plain,
% 6.25/4.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s242, s243)) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19634,plain,
% 6.25/4.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s242, c_t2)) | m_main_v_state2(s243, c_t2) | (~node13(s242, s243))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19633, 19632])).
% 6.25/4.88 tff(19635,plain,
% 6.25/4.88 (m_main_v_state2(s243, c_t2)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19634, 563, 19532, 19628])).
% 6.25/4.88 tff(19636,plain,
% 6.25/4.88 (succ(s243, s244) <=> succ(s243, s244)),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19637,axiom,(succ(s243, s244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound244')).
% 6.25/4.88 tff(19638,plain,
% 6.25/4.88 (succ(s243, s244)),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 6.25/4.88 tff(19639,plain,
% 6.25/4.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19640,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19641,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 6.25/4.88 tff(19642,plain,
% 6.25/4.88 (trans(s243, s244)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19641, 19638, 57])).
% 6.25/4.88 tff(19643,plain,
% 6.25/4.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s243, s244)) | node7(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s243, s244)) | node7(s243, s244))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19644,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s243, s244)) | node7(s243, s244))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19645,plain,
% 6.25/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s243, s244)) | node7(s243, s244)),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 6.25/4.88 tff(19646,plain,
% 6.25/4.88 (node7(s243, s244)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19645, 217, 19642])).
% 6.25/4.88 tff(19647,plain,
% 6.25/4.88 (((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, 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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19648,plain,
% 6.25/4.88 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19649,plain,
% 6.25/4.88 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node7(s243, s244)) | m_main_v_state1(s244, c_t1)),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 6.25/4.88 tff(19650,plain,
% 6.25/4.88 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_state1(s244, c_t1)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19649, 598, 19646])).
% 6.25/4.88 tff(19651,plain,
% 6.25/4.88 (m_main_v_state1(s244, c_t1)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19650, 19635, 19579])).
% 6.25/4.88 tff(19652,plain,
% 6.25/4.88 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))),
% 6.25/4.88 inference(rewrite,[status(thm)],[])).
% 6.25/4.88 tff(19653,plain,
% 6.25/4.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1)))),
% 6.25/4.88 inference(quant_inst,[status(thm)],[])).
% 6.25/4.88 tff(19654,plain,
% 6.25/4.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s244, c_n1)) | (~m_main_v_state1(s244, c_t1))),
% 6.25/4.88 inference(modus_ponens,[status(thm)],[19653, 19652])).
% 6.25/4.88 tff(19655,plain,
% 6.25/4.88 (~m_main_v_state1(s244, c_n1)),
% 6.25/4.88 inference(unit_resolution,[status(thm)],[19654, 35, 19651])).
% 6.25/4.88 tff(19656,plain,
% 6.25/4.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s244, c_n1) | (~node1(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s244, c_n1) | (~node1(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19657,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s244, c_n1) | (~node1(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19658,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s244, c_n1) | (~node1(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 6.25/4.89 tff(19659,plain,
% 6.25/4.89 (~node1(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19658, 249, 19655])).
% 6.25/4.89 tff(19660,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s243, s244)) | node18(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s243, s244)) | node18(s243, s244))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19661,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s243, s244)) | node18(s243, s244))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19662,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s243, s244)) | node18(s243, s244)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19661, 19660])).
% 6.25/4.89 tff(19663,plain,
% 6.25/4.89 (node18(s243, s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19662, 71, 19642])).
% 6.25/4.89 tff(19664,plain,
% 6.25/4.89 (((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, 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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19665,plain,
% 6.25/4.89 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19666,plain,
% 6.25/4.89 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | (~node18(s243, s244)) | m_main_v_turn(s244, c_2)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 6.25/4.89 tff(19667,plain,
% 6.25/4.89 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | m_main_v_turn(s244, c_2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19666, 625, 19663])).
% 6.25/4.89 tff(19668,plain,
% 6.25/4.89 (m_main_v_turn(s244, c_2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19667, 19635, 19579])).
% 6.25/4.89 tff(19669,plain,
% 6.25/4.89 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19670,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19671,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s244, c_1)) | (~m_main_v_turn(s244, c_2))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 6.25/4.89 tff(19672,plain,
% 6.25/4.89 (~m_main_v_turn(s244, c_1)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19671, 322, 19668])).
% 6.25/4.89 tff(19673,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s244, c_1) | (~node5(s244)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s244, c_1) | (~node5(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19674,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s244, c_1) | (~node5(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19675,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s244, c_1) | (~node5(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 6.25/4.89 tff(19676,plain,
% 6.25/4.89 (~node5(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19675, 641, 19672])).
% 6.25/4.89 tff(19677,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s244, c_n1) | (~node2(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s244, c_n1) | (~node2(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19678,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s244, c_n1) | (~node2(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19679,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s244, c_n1) | (~node2(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19678, 19677])).
% 6.25/4.89 tff(19680,plain,
% 6.25/4.89 (~node2(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19679, 652, 19655])).
% 6.25/4.89 tff(19681,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s244, c_n1) | (~node3(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s244, c_n1) | (~node3(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19682,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s244, c_n1) | (~node3(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19683,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s244, c_n1) | (~node3(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19682, 19681])).
% 6.25/4.89 tff(19684,plain,
% 6.25/4.89 (~node3(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19683, 663, 19655])).
% 6.25/4.89 tff(19685,plain,
% 6.25/4.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19686,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19687,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s244, c_t1)) | (~m_main_v_state1(s244, c_c1))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 6.25/4.89 tff(19688,plain,
% 6.25/4.89 (~m_main_v_state1(s244, c_c1)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19687, 289, 19651])).
% 6.25/4.89 tff(19689,plain,
% 6.25/4.89 (((~![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(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19690,plain,
% 6.25/4.89 (((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2))) <=> (m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19691,plain,
% 6.25/4.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, 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(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243))))),
% 6.25/4.89 inference(monotonicity,[status(thm)],[19690])).
% 6.25/4.89 tff(19692,plain,
% 6.25/4.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, 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(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243)))),
% 6.25/4.89 inference(transitivity,[status(thm)],[19691, 19689])).
% 6.25/4.89 tff(19693,plain,
% 6.25/4.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s242, s243)) | m_main_v_state2(s242, c_n2) | (~m_main_v_state2(s243, c_n2)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19694,plain,
% 6.25/4.89 ((~![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(s242, c_n2) | (~m_main_v_state2(s243, c_n2)) | (~node13(s242, s243))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 6.25/4.89 tff(19695,plain,
% 6.25/4.89 (~m_main_v_state2(s243, c_n2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19694, 416, 19536, 19628])).
% 6.25/4.89 tff(19696,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s243, c_n2) | (~node9(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s243, c_n2) | (~node9(s243)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19697,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s243, c_n2) | (~node9(s243)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19698,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s243, c_n2) | (~node9(s243))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19697, 19696])).
% 6.25/4.89 tff(19699,plain,
% 6.25/4.89 (~node9(s243)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19698, 311, 19695])).
% 6.25/4.89 tff(19700,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s243, c_n2) | (~node10(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s243, c_n2) | (~node10(s243)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19701,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s243, c_n2) | (~node10(s243)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19702,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s243, c_n2) | (~node10(s243))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 6.25/4.89 tff(19703,plain,
% 6.25/4.89 (~node10(s243)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19702, 372, 19695])).
% 6.25/4.89 tff(19704,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s243, c_n2) | (~node8(s243)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s243, c_n2) | (~node8(s243)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19705,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s243, c_n2) | (~node8(s243)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19706,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s243, c_n2) | (~node8(s243))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19705, 19704])).
% 6.25/4.89 tff(19707,plain,
% 6.25/4.89 (~node8(s243)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19706, 383, 19695])).
% 6.25/4.89 tff(19708,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s243, s244)) | node14(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s243, s244)) | node14(s243, s244))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19709,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s243, s244)) | node14(s243, s244))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19710,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s243, s244)) | node14(s243, s244)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 6.25/4.89 tff(19711,plain,
% 6.25/4.89 (node14(s243, s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19710, 130, 19642])).
% 6.25/4.89 tff(19712,plain,
% 6.25/4.89 (((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, 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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19713,plain,
% 6.25/4.89 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19714,plain,
% 6.25/4.89 ((~![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(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | (~node14(s243, s244)) | m_main_v_state2(s244, c_c2)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19713, 19712])).
% 6.25/4.89 tff(19715,plain,
% 6.25/4.89 ((~m_main_v_state1(s243, c_n1)) | (~m_main_v_state2(s243, c_t2)) | node9(s243) | node8(s243) | node10(s243) | m_main_v_state2(s244, c_c2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19714, 704, 19711])).
% 6.25/4.89 tff(19716,plain,
% 6.25/4.89 (m_main_v_state2(s244, c_c2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19715, 19707, 19579, 19635, 19703, 19699])).
% 6.25/4.89 tff(19717,plain,
% 6.25/4.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19718,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19719,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_n2)) | (~m_main_v_state2(s244, c_c2))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 6.25/4.89 tff(19720,plain,
% 6.25/4.89 (~m_main_v_state2(s244, c_n2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19719, 716, 19716])).
% 6.25/4.89 tff(19721,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s244, c_n2) | (~node4(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s244, c_n2) | (~node4(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19722,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s244, c_n2) | (~node4(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19723,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s244, c_n2) | (~node4(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19722, 19721])).
% 6.25/4.89 tff(19724,plain,
% 6.25/4.89 (~node4(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19723, 162, 19720])).
% 6.25/4.89 tff(19725,plain,
% 6.25/4.89 (succ(s244, s245) <=> succ(s244, s245)),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19726,axiom,(succ(s244, s245)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound245')).
% 6.25/4.89 tff(19727,plain,
% 6.25/4.89 (succ(s244, s245)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 6.25/4.89 tff(19728,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19729,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19730,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 6.25/4.89 tff(19731,plain,
% 6.25/4.89 (trans(s244, s245)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19730, 19727, 57])).
% 6.25/4.89 tff(19732,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s244, s245)) | node7(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s244, s245)) | node7(s244, s245))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19733,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s244, s245)) | node7(s244, s245))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19734,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s244, s245)) | node7(s244, s245)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 6.25/4.89 tff(19735,plain,
% 6.25/4.89 (node7(s244, s245)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19734, 217, 19731])).
% 6.25/4.89 tff(19736,plain,
% 6.25/4.89 (((~![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(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))) <=> ((~![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(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19737,plain,
% 6.25/4.89 ((~![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(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19738,plain,
% 6.25/4.89 ((~![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(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245) | (~node7(s244, s245))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19737, 19736])).
% 6.25/4.89 tff(19739,plain,
% 6.25/4.89 (m_main_v_state1(s244, c_c1) | node1(s244) | node2(s244) | node3(s244) | node4(s244) | node5(s244) | node6(s244, s245)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19738, 745, 19735])).
% 6.25/4.89 tff(19740,plain,
% 6.25/4.89 (node6(s244, s245)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19739, 19724, 19688, 19684, 19680, 19676, 19659])).
% 6.25/4.89 tff(19741,plain,
% 6.25/4.89 (((~![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(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19742,plain,
% 6.25/4.89 (((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1)) <=> ((~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19743,plain,
% 6.25/4.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, 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(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245))))),
% 6.25/4.89 inference(monotonicity,[status(thm)],[19742])).
% 6.25/4.89 tff(19744,plain,
% 6.25/4.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, 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(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245)))),
% 6.25/4.89 inference(transitivity,[status(thm)],[19743, 19741])).
% 6.25/4.89 tff(19745,plain,
% 6.25/4.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s244, s245)) | (~m_main_v_state1(s244, c_t1)) | m_main_v_state1(s245, c_t1))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19746,plain,
% 6.25/4.89 ((~![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(s244, c_t1)) | m_main_v_state1(s245, c_t1) | (~node6(s244, s245))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 6.25/4.89 tff(19747,plain,
% 6.25/4.89 (m_main_v_state1(s245, c_t1)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19746, 760, 19651, 19740])).
% 6.25/4.89 tff(19748,plain,
% 6.25/4.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19749,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19750,plain,
% 6.25/4.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s244, c_t2)) | (~m_main_v_state2(s244, c_c2))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 6.25/4.89 tff(19751,plain,
% 6.25/4.89 (~m_main_v_state2(s244, c_t2)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19750, 173, 19716])).
% 6.25/4.89 tff(19752,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s244, c_t2) | (~node12(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s244, c_t2) | (~node12(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19753,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s244, c_t2) | (~node12(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19754,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s244, c_t2) | (~node12(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 6.25/4.89 tff(19755,plain,
% 6.25/4.89 (~node12(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19754, 778, 19751])).
% 6.25/4.89 tff(19756,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s244, c_n1) | (~node11(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s244, c_n1) | (~node11(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19757,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s244, c_n1) | (~node11(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19758,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s244, c_n1) | (~node11(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 6.25/4.89 tff(19759,plain,
% 6.25/4.89 (~node11(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19758, 361, 19655])).
% 6.25/4.89 tff(19760,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s244, c_c1) | (~node10(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s244, c_c1) | (~node10(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19761,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s244, c_c1) | (~node10(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19762,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s244, c_c1) | (~node10(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 6.25/4.89 tff(19763,plain,
% 6.25/4.89 (~node10(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19762, 793, 19688])).
% 6.25/4.89 tff(19764,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s244, c_n1) | (~node9(s244)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s244, c_n1) | (~node9(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19765,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s244, c_n1) | (~node9(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19766,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s244, c_n1) | (~node9(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 6.25/4.89 tff(19767,plain,
% 6.25/4.89 (~node9(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19766, 804, 19655])).
% 6.25/4.89 tff(19768,plain,
% 6.25/4.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s244, c_n2) | (~node8(s244)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s244, c_n2) | (~node8(s244)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19769,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s244, c_n2) | (~node8(s244)))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19770,plain,
% 6.25/4.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s244, c_n2) | (~node8(s244))),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19769, 19768])).
% 6.25/4.89 tff(19771,plain,
% 6.25/4.89 (~node8(s244)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19770, 383, 19720])).
% 6.25/4.89 tff(19772,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s244, s245)) | node14(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s244, s245)) | node14(s244, s245))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19773,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s244, s245)) | node14(s244, s245))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19774,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s244, s245)) | node14(s244, s245)),
% 6.25/4.89 inference(modus_ponens,[status(thm)],[19773, 19772])).
% 6.25/4.89 tff(19775,plain,
% 6.25/4.89 (node14(s244, s245)),
% 6.25/4.89 inference(unit_resolution,[status(thm)],[19774, 130, 19731])).
% 6.25/4.89 tff(19776,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, 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(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19777,plain,
% 6.25/4.89 (((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2)) <=> (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(rewrite,[status(thm)],[])).
% 6.25/4.89 tff(19778,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, 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(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2))))),
% 6.25/4.89 inference(monotonicity,[status(thm)],[19777])).
% 6.25/4.89 tff(19779,plain,
% 6.25/4.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, 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(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2)))),
% 6.25/4.89 inference(transitivity,[status(thm)],[19778, 19776])).
% 6.25/4.89 tff(19780,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s244, c_c2)) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | m_main_v_state2(s245, c_n2))),
% 6.25/4.89 inference(quant_inst,[status(thm)],[])).
% 6.25/4.89 tff(19781,plain,
% 6.25/4.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~node14(s244, s245)) | (~m_main_v_state2(s244, c_c2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 6.25/4.90 tff(19782,plain,
% 6.25/4.90 (m_main_v_state2(s245, c_n2) | node9(s244) | node8(s244) | node10(s244) | node11(s244) | node12(s244) | (~m_main_v_state2(s244, c_c2))),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19781, 826, 19775])).
% 6.25/4.90 tff(19783,plain,
% 6.25/4.90 (m_main_v_state2(s245, c_n2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19782, 19771, 19716, 19767, 19763, 19759, 19755])).
% 6.25/4.90 tff(19784,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19785,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19786,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_t2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19785, 19784])).
% 6.25/4.90 tff(19787,plain,
% 6.25/4.90 (~m_main_v_state2(s245, c_t2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19786, 10, 19783])).
% 6.25/4.90 tff(19788,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s245, c_t2) | (~node15(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s245, c_t2) | (~node15(s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19789,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s245, c_t2) | (~node15(s245)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19790,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s245, c_t2) | (~node15(s245))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 6.25/4.90 tff(19791,plain,
% 6.25/4.90 (~node15(s245)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19790, 21, 19787])).
% 6.25/4.90 tff(19792,plain,
% 6.25/4.90 (succ(s245, s246) <=> succ(s245, s246)),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19793,axiom,(succ(s245, s246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound246')).
% 6.25/4.90 tff(19794,plain,
% 6.25/4.90 (succ(s245, s246)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 6.25/4.90 tff(19795,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19796,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19797,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19796, 19795])).
% 6.25/4.90 tff(19798,plain,
% 6.25/4.90 (trans(s245, s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19797, 19794, 57])).
% 6.25/4.90 tff(19799,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s245, s246)) | node18(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s245, s246)) | node18(s245, s246))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19800,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s245, s246)) | node18(s245, s246))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19801,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s245, s246)) | node18(s245, s246)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 6.25/4.90 tff(19802,plain,
% 6.25/4.90 (node18(s245, s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19801, 71, 19798])).
% 6.25/4.90 tff(19803,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_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(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, 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(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19804,plain,
% 6.25/4.90 (((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1)) <=> (node15(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19805,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, 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(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)))),
% 6.25/4.90 inference(monotonicity,[status(thm)],[19804])).
% 6.25/4.90 tff(19806,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, 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(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1))),
% 6.25/4.90 inference(transitivity,[status(thm)],[19805, 19803])).
% 6.25/4.90 tff(19807,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~m_main_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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node15(s245) | (~node18(s245, s246)) | m_main_v_turn(s246, c_1))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19808,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~m_main_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(s245) | (~node18(s245, s246)) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 6.25/4.90 tff(19809,plain,
% 6.25/4.90 (node15(s245) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_turn(s246, c_1)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19808, 863, 19802])).
% 6.25/4.90 tff(19810,plain,
% 6.25/4.90 (m_main_v_turn(s246, c_1)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19809, 19791, 19783, 19747])).
% 6.25/4.90 tff(19811,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19812,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19813,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s246, c_1)) | (~m_main_v_turn(s246, c_2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 6.25/4.90 tff(19814,plain,
% 6.25/4.90 (~m_main_v_turn(s246, c_2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19813, 322, 19810])).
% 6.25/4.90 tff(19815,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s246, c_2) | (~node12(s246)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s246, c_2) | (~node12(s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19816,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s246, c_2) | (~node12(s246)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19817,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s246, c_2) | (~node12(s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 6.25/4.90 tff(19818,plain,
% 6.25/4.90 (~node12(s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19817, 350, 19814])).
% 6.25/4.90 tff(19819,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s245, s246)) | node14(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s245, s246)) | node14(s245, s246))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19820,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s245, s246)) | node14(s245, s246))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19821,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s245, s246)) | node14(s245, s246)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19820, 19819])).
% 6.25/4.90 tff(19822,plain,
% 6.25/4.90 (node14(s245, s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19821, 130, 19798])).
% 6.25/4.90 tff(19823,plain,
% 6.25/4.90 (((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, 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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19824,plain,
% 6.25/4.90 ((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19825,plain,
% 6.25/4.90 ((~![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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | (~node14(s245, s246)) | m_main_v_state2(s246, c_t2)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 6.25/4.90 tff(19826,plain,
% 6.25/4.90 ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state2(s246, c_t2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19825, 893, 19822])).
% 6.25/4.90 tff(19827,plain,
% 6.25/4.90 (m_main_v_state2(s246, c_t2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19826, 19747, 19783])).
% 6.25/4.90 tff(19828,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19829,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19830,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s246, c_n2)) | (~m_main_v_state2(s246, c_t2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19829, 19828])).
% 6.25/4.90 tff(19831,plain,
% 6.25/4.90 (~m_main_v_state2(s246, c_n2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19830, 10, 19827])).
% 6.25/4.90 tff(19832,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s246, c_n2) | (~node8(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s246, c_n2) | (~node8(s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19833,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s246, c_n2) | (~node8(s246)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19834,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s246, c_n2) | (~node8(s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19833, 19832])).
% 6.25/4.90 tff(19835,plain,
% 6.25/4.90 (~node8(s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19834, 383, 19831])).
% 6.25/4.90 tff(19836,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s246, c_n2) | (~node9(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s246, c_n2) | (~node9(s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19837,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s246, c_n2) | (~node9(s246)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19838,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s246, c_n2) | (~node9(s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 6.25/4.90 tff(19839,plain,
% 6.25/4.90 (~node9(s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19838, 311, 19831])).
% 6.25/4.90 tff(19840,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s246, c_n2) | (~node10(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s246, c_n2) | (~node10(s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19841,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s246, c_n2) | (~node10(s246)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19842,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s246, c_n2) | (~node10(s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 6.25/4.90 tff(19843,plain,
% 6.25/4.90 (~node10(s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19842, 372, 19831])).
% 6.25/4.90 tff(19844,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19845,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19846,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s246, c_t2)) | (~m_main_v_state2(s246, c_c2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19845, 19844])).
% 6.25/4.90 tff(19847,plain,
% 6.25/4.90 (~m_main_v_state2(s246, c_c2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19846, 173, 19827])).
% 6.25/4.90 tff(19848,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19849,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19850,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s245, c_n2)) | (~m_main_v_state2(s245, c_c2))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19849, 19848])).
% 6.25/4.90 tff(19851,plain,
% 6.25/4.90 (~m_main_v_state2(s245, c_c2)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19850, 716, 19783])).
% 6.25/4.90 tff(19852,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s245, c_c2) | (~node3(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s245, c_c2) | (~node3(s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19853,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s245, c_c2) | (~node3(s245)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19854,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s245, c_c2) | (~node3(s245))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 6.25/4.90 tff(19855,plain,
% 6.25/4.90 (~node3(s245)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19854, 184, 19851])).
% 6.25/4.90 tff(19856,plain,
% 6.25/4.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19857,plain,
% 6.25/4.90 (((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1))) <=> (m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19858,plain,
% 6.25/4.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, 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(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245))))),
% 6.25/4.90 inference(monotonicity,[status(thm)],[19857])).
% 6.25/4.90 tff(19859,plain,
% 6.25/4.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, 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(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245)))),
% 6.25/4.90 inference(transitivity,[status(thm)],[19858, 19856])).
% 6.25/4.90 tff(19860,plain,
% 6.25/4.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s244, s245)) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19861,plain,
% 6.25/4.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s244, c_n1) | (~m_main_v_state1(s245, c_n1)) | (~node6(s244, s245))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19860, 19859])).
% 6.25/4.90 tff(19862,plain,
% 6.25/4.90 (~m_main_v_state1(s245, c_n1)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19861, 936, 19655, 19740])).
% 6.25/4.90 tff(19863,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s245, c_n1) | (~node2(s245)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s245, c_n1) | (~node2(s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19864,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s245, c_n1) | (~node2(s245)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19865,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s245, c_n1) | (~node2(s245))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19864, 19863])).
% 6.25/4.90 tff(19866,plain,
% 6.25/4.90 (~node2(s245)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19865, 652, 19862])).
% 6.25/4.90 tff(19867,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s245, c_t2) | (~node1(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s245, c_t2) | (~node1(s245)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19868,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s245, c_t2) | (~node1(s245)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19869,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s245, c_t2) | (~node1(s245))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 6.25/4.90 tff(19870,plain,
% 6.25/4.90 (~node1(s245)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19869, 206, 19787])).
% 6.25/4.90 tff(19871,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s245, s246)) | node7(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s245, s246)) | node7(s245, s246))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19872,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s245, s246)) | node7(s245, s246))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19873,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s245, s246)) | node7(s245, s246)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 6.25/4.90 tff(19874,plain,
% 6.25/4.90 (node7(s245, s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19873, 217, 19798])).
% 6.25/4.90 tff(19875,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19876,plain,
% 6.25/4.90 (((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1)) <=> ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19877,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, 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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246))))),
% 6.25/4.90 inference(monotonicity,[status(thm)],[19876])).
% 6.25/4.90 tff(19878,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, 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(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)))),
% 6.25/4.90 inference(transitivity,[status(thm)],[19877, 19875])).
% 6.25/4.90 tff(19879,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246)) | m_main_v_state1(s246, c_c1))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19880,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245) | (~node7(s245, s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 6.25/4.90 tff(19881,plain,
% 6.25/4.90 ((~m_main_v_state1(s245, c_t1)) | (~m_main_v_state2(s245, c_n2)) | m_main_v_state1(s246, c_c1) | node1(s245) | node2(s245) | node3(s245)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19880, 965, 19874])).
% 6.25/4.90 tff(19882,plain,
% 6.25/4.90 (m_main_v_state1(s246, c_c1)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19881, 19870, 19783, 19747, 19866, 19855])).
% 6.25/4.90 tff(19883,plain,
% 6.25/4.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19884,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19885,plain,
% 6.25/4.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_n1)) | (~m_main_v_state1(s246, c_c1))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 6.25/4.90 tff(19886,plain,
% 6.25/4.90 (~m_main_v_state1(s246, c_n1)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19885, 449, 19882])).
% 6.25/4.90 tff(19887,plain,
% 6.25/4.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s246, c_n1) | (~node11(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s246, c_n1) | (~node11(s246)))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19888,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s246, c_n1) | (~node11(s246)))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19889,plain,
% 6.25/4.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s246, c_n1) | (~node11(s246))),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19888, 19887])).
% 6.25/4.90 tff(19890,plain,
% 6.25/4.90 (~node11(s246)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19889, 361, 19886])).
% 6.25/4.90 tff(19891,plain,
% 6.25/4.90 (succ(s246, s247) <=> succ(s246, s247)),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19892,axiom,(succ(s246, s247)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound247')).
% 6.25/4.90 tff(19893,plain,
% 6.25/4.90 (succ(s246, s247)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 6.25/4.90 tff(19894,plain,
% 6.25/4.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247))),
% 6.25/4.90 inference(rewrite,[status(thm)],[])).
% 6.25/4.90 tff(19895,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 6.25/4.90 inference(quant_inst,[status(thm)],[])).
% 6.25/4.90 tff(19896,plain,
% 6.25/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 6.25/4.90 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 6.25/4.90 tff(19897,plain,
% 6.25/4.90 (trans(s246, s247)),
% 6.25/4.90 inference(unit_resolution,[status(thm)],[19896, 19893, 57])).
% 6.25/4.91 tff(19898,plain,
% 6.25/4.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s246, s247)) | node14(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s246, s247)) | node14(s246, s247))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19899,plain,
% 6.25/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s246, s247)) | node14(s246, s247))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19900,plain,
% 6.25/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s246, s247)) | node14(s246, s247)),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 6.25/4.91 tff(19901,plain,
% 6.25/4.91 (node14(s246, s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19900, 130, 19897])).
% 6.25/4.91 tff(19902,plain,
% 6.25/4.91 (((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))) <=> ((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19903,plain,
% 6.25/4.91 ((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19904,plain,
% 6.25/4.91 ((~![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(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247) | (~node14(s246, s247))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 6.25/4.91 tff(19905,plain,
% 6.25/4.91 (m_main_v_state2(s246, c_c2) | node9(s246) | node8(s246) | node10(s246) | node11(s246) | node12(s246) | node13(s246, s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19904, 401, 19901])).
% 6.25/4.91 tff(19906,plain,
% 6.25/4.91 (node13(s246, s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19905, 19890, 19847, 19843, 19839, 19835, 19818])).
% 6.25/4.91 tff(19907,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19908,plain,
% 6.25/4.91 (((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2))) <=> (m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19909,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, 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(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247))))),
% 6.25/4.91 inference(monotonicity,[status(thm)],[19908])).
% 6.25/4.91 tff(19910,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, 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(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247)))),
% 6.25/4.91 inference(transitivity,[status(thm)],[19909, 19907])).
% 6.25/4.91 tff(19911,plain,
% 6.25/4.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s246, s247)) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19912,plain,
% 6.25/4.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s246, c_n2) | (~m_main_v_state2(s247, c_n2)) | (~node13(s246, s247))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19911, 19910])).
% 6.25/4.91 tff(19913,plain,
% 6.25/4.91 (~m_main_v_state2(s247, c_n2)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19912, 416, 19831, 19906])).
% 6.25/4.91 tff(19914,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s247, c_n2) | (~node9(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s247, c_n2) | (~node9(s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19915,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s247, c_n2) | (~node9(s247)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19916,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s247, c_n2) | (~node9(s247))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 6.25/4.91 tff(19917,plain,
% 6.25/4.91 (~node9(s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19916, 311, 19913])).
% 6.25/4.91 tff(19918,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s247, c_n2) | (~node10(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s247, c_n2) | (~node10(s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19919,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s247, c_n2) | (~node10(s247)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19920,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s247, c_n2) | (~node10(s247))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 6.25/4.91 tff(19921,plain,
% 6.25/4.91 (~node10(s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19920, 372, 19913])).
% 6.25/4.91 tff(19922,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19923,plain,
% 6.25/4.91 (((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2)) <=> ((~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19924,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, 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(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247))))),
% 6.25/4.91 inference(monotonicity,[status(thm)],[19923])).
% 6.25/4.91 tff(19925,plain,
% 6.25/4.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, 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(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247)))),
% 6.25/4.91 inference(transitivity,[status(thm)],[19924, 19922])).
% 6.25/4.91 tff(19926,plain,
% 6.25/4.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s246, s247)) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19927,plain,
% 6.25/4.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s246, c_t2)) | m_main_v_state2(s247, c_t2) | (~node13(s246, s247))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 6.25/4.91 tff(19928,plain,
% 6.25/4.91 (m_main_v_state2(s247, c_t2)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19927, 563, 19827, 19906])).
% 6.25/4.91 tff(19929,plain,
% 6.25/4.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19930,plain,
% 6.25/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19931,plain,
% 6.25/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s246, c_t1)) | (~m_main_v_state1(s246, c_c1))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 6.25/4.91 tff(19932,plain,
% 6.25/4.91 (~m_main_v_state1(s246, c_t1)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19931, 289, 19882])).
% 6.25/4.91 tff(19933,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s246, c_t1) | (~node5(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s246, c_t1) | (~node5(s246)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19934,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s246, c_t1) | (~node5(s246)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19935,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s246, c_t1) | (~node5(s246))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 6.25/4.91 tff(19936,plain,
% 6.25/4.91 (~node5(s246)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19935, 300, 19932])).
% 6.25/4.91 tff(19937,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s246, c_n2) | (~node4(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s246, c_n2) | (~node4(s246)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19938,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s246, c_n2) | (~node4(s246)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19939,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s246, c_n2) | (~node4(s246))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 6.25/4.91 tff(19940,plain,
% 6.25/4.91 (~node4(s246)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19939, 162, 19831])).
% 6.25/4.91 tff(19941,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s246, c_c2) | (~node3(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s246, c_c2) | (~node3(s246)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19942,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s246, c_c2) | (~node3(s246)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19943,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s246, c_c2) | (~node3(s246))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 6.25/4.91 tff(19944,plain,
% 6.25/4.91 (~node3(s246)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19943, 184, 19847])).
% 6.25/4.91 tff(19945,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s246, c_n2) | (~node2(s246)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s246, c_n2) | (~node2(s246)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19946,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s246, c_n2) | (~node2(s246)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19947,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s246, c_n2) | (~node2(s246))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19946, 19945])).
% 6.25/4.91 tff(19948,plain,
% 6.25/4.91 (~node2(s246)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19947, 195, 19831])).
% 6.25/4.91 tff(19949,plain,
% 6.25/4.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s246, c_n1) | (~node1(s246)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s246, c_n1) | (~node1(s246)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19950,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s246, c_n1) | (~node1(s246)))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19951,plain,
% 6.25/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s246, c_n1) | (~node1(s246))),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19950, 19949])).
% 6.25/4.91 tff(19952,plain,
% 6.25/4.91 (~node1(s246)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19951, 249, 19886])).
% 6.25/4.91 tff(19953,plain,
% 6.25/4.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s246, s247)) | node7(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s246, s247)) | node7(s246, s247))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19954,plain,
% 6.25/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s246, s247)) | node7(s246, s247))),
% 6.25/4.91 inference(quant_inst,[status(thm)],[])).
% 6.25/4.91 tff(19955,plain,
% 6.25/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s246, s247)) | node7(s246, s247)),
% 6.25/4.91 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 6.25/4.91 tff(19956,plain,
% 6.25/4.91 (node7(s246, s247)),
% 6.25/4.91 inference(unit_resolution,[status(thm)],[19955, 217, 19897])).
% 6.25/4.91 tff(19957,plain,
% 6.25/4.91 (((~![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(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19958,plain,
% 6.25/4.91 (((~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1)) <=> (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 6.25/4.91 inference(rewrite,[status(thm)],[])).
% 6.25/4.91 tff(19959,plain,
% 6.25/4.91 (((~![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(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, 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(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247))))),
% 6.25/4.91 inference(monotonicity,[status(thm)],[19958])).
% 6.25/4.91 tff(19960,plain,
% 6.25/4.91 (((~![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(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, 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(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)))),
% 6.25/4.91 inference(transitivity,[status(thm)],[19959, 19957])).
% 6.25/4.91 tff(19961,plain,
% 6.25/4.91 ((~![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(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247)) | m_main_v_state1(s247, c_n1))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19962,plain,
% 6.28/4.91 ((~![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(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246) | (~node7(s246, s247))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 6.28/4.91 tff(19963,plain,
% 6.28/4.91 (m_main_v_state1(s247, c_n1) | (~m_main_v_state1(s246, c_c1)) | node1(s246) | node2(s246) | node3(s246) | node4(s246) | node5(s246)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19962, 478, 19956])).
% 6.28/4.91 tff(19964,plain,
% 6.28/4.91 (m_main_v_state1(s247, c_n1)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19963, 19952, 19882, 19948, 19944, 19940, 19936])).
% 6.28/4.91 tff(19965,plain,
% 6.28/4.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s247, c_n2) | (~node8(s247)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s247, c_n2) | (~node8(s247)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19966,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s247, c_n2) | (~node8(s247)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19967,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s247, c_n2) | (~node8(s247))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 6.28/4.91 tff(19968,plain,
% 6.28/4.91 (~node8(s247)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19967, 383, 19913])).
% 6.28/4.91 tff(19969,plain,
% 6.28/4.91 (succ(s247, s248) <=> succ(s247, s248)),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19970,axiom,(succ(s247, s248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound248')).
% 6.28/4.91 tff(19971,plain,
% 6.28/4.91 (succ(s247, s248)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 6.28/4.91 tff(19972,plain,
% 6.28/4.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19973,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19974,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 6.28/4.91 tff(19975,plain,
% 6.28/4.91 (trans(s247, s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19974, 19971, 57])).
% 6.28/4.91 tff(19976,plain,
% 6.28/4.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s247, s248)) | node14(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s247, s248)) | node14(s247, s248))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19977,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s247, s248)) | node14(s247, s248))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19978,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s247, s248)) | node14(s247, s248)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19977, 19976])).
% 6.28/4.91 tff(19979,plain,
% 6.28/4.91 (node14(s247, s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19978, 130, 19975])).
% 6.28/4.91 tff(19980,plain,
% 6.28/4.91 (((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, 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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19981,plain,
% 6.28/4.91 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19982,plain,
% 6.28/4.91 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | (~node14(s247, s248)) | m_main_v_state2(s248, c_c2)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 6.28/4.91 tff(19983,plain,
% 6.28/4.91 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | node9(s247) | node8(s247) | node10(s247) | m_main_v_state2(s248, c_c2)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19982, 704, 19979])).
% 6.28/4.91 tff(19984,plain,
% 6.28/4.91 (m_main_v_state2(s248, c_c2)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19983, 19968, 19964, 19928, 19921, 19917])).
% 6.28/4.91 tff(19985,plain,
% 6.28/4.91 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19986,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19987,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_t2)) | (~m_main_v_state2(s248, c_c2))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19986, 19985])).
% 6.28/4.91 tff(19988,plain,
% 6.28/4.91 (~m_main_v_state2(s248, c_t2)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19987, 173, 19984])).
% 6.28/4.91 tff(19989,plain,
% 6.28/4.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s248, c_t2) | (~node12(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s248, c_t2) | (~node12(s248)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19990,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s248, c_t2) | (~node12(s248)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19991,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s248, c_t2) | (~node12(s248))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 6.28/4.91 tff(19992,plain,
% 6.28/4.91 (~node12(s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19991, 778, 19988])).
% 6.28/4.91 tff(19993,plain,
% 6.28/4.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s247, s248)) | node7(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s247, s248)) | node7(s247, s248))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19994,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s247, s248)) | node7(s247, s248))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19995,plain,
% 6.28/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s247, s248)) | node7(s247, s248)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 6.28/4.91 tff(19996,plain,
% 6.28/4.91 (node7(s247, s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19995, 217, 19975])).
% 6.28/4.91 tff(19997,plain,
% 6.28/4.91 (((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, 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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(19998,plain,
% 6.28/4.91 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(19999,plain,
% 6.28/4.91 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node7(s247, s248)) | m_main_v_state1(s248, c_t1)),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 6.28/4.91 tff(20000,plain,
% 6.28/4.91 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_state1(s248, c_t1)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[19999, 598, 19996])).
% 6.28/4.91 tff(20001,plain,
% 6.28/4.91 (m_main_v_state1(s248, c_t1)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[20000, 19928, 19964])).
% 6.28/4.91 tff(20002,plain,
% 6.28/4.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(20003,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(20004,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s248, c_n1)) | (~m_main_v_state1(s248, c_t1))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 6.28/4.91 tff(20005,plain,
% 6.28/4.91 (~m_main_v_state1(s248, c_n1)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[20004, 35, 20001])).
% 6.28/4.91 tff(20006,plain,
% 6.28/4.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s248, c_n1) | (~node11(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s248, c_n1) | (~node11(s248)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(20007,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s248, c_n1) | (~node11(s248)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(20008,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s248, c_n1) | (~node11(s248))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[20007, 20006])).
% 6.28/4.91 tff(20009,plain,
% 6.28/4.91 (~node11(s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[20008, 361, 20005])).
% 6.28/4.91 tff(20010,plain,
% 6.28/4.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(20011,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(20012,plain,
% 6.28/4.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s248, c_t1)) | (~m_main_v_state1(s248, c_c1))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[20011, 20010])).
% 6.28/4.91 tff(20013,plain,
% 6.28/4.91 (~m_main_v_state1(s248, c_c1)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[20012, 289, 20001])).
% 6.28/4.91 tff(20014,plain,
% 6.28/4.91 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s248, c_c1) | (~node10(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s248, c_c1) | (~node10(s248)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(20015,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s248, c_c1) | (~node10(s248)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(20016,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s248, c_c1) | (~node10(s248))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 6.28/4.91 tff(20017,plain,
% 6.28/4.91 (~node10(s248)),
% 6.28/4.91 inference(unit_resolution,[status(thm)],[20016, 793, 20013])).
% 6.28/4.91 tff(20018,plain,
% 6.28/4.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s248, c_n1) | (~node9(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s248, c_n1) | (~node9(s248)))),
% 6.28/4.91 inference(rewrite,[status(thm)],[])).
% 6.28/4.91 tff(20019,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s248, c_n1) | (~node9(s248)))),
% 6.28/4.91 inference(quant_inst,[status(thm)],[])).
% 6.28/4.91 tff(20020,plain,
% 6.28/4.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s248, c_n1) | (~node9(s248))),
% 6.28/4.91 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 6.28/4.91 tff(20021,plain,
% 6.28/4.92 (~node9(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20020, 804, 20005])).
% 6.28/4.92 tff(20022,plain,
% 6.28/4.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20023,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20024,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s248, c_n2)) | (~m_main_v_state2(s248, c_c2))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20023, 20022])).
% 6.28/4.92 tff(20025,plain,
% 6.28/4.92 (~m_main_v_state2(s248, c_n2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20024, 716, 19984])).
% 6.28/4.92 tff(20026,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s248, c_n2) | (~node8(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s248, c_n2) | (~node8(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20027,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s248, c_n2) | (~node8(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20028,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s248, c_n2) | (~node8(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 6.28/4.92 tff(20029,plain,
% 6.28/4.92 (~node8(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20028, 383, 20025])).
% 6.28/4.92 tff(20030,plain,
% 6.28/4.92 (succ(s248, s249) <=> succ(s248, s249)),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20031,axiom,(succ(s248, s249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound249')).
% 6.28/4.92 tff(20032,plain,
% 6.28/4.92 (succ(s248, s249)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20031, 20030])).
% 6.28/4.92 tff(20033,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20034,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20035,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 6.28/4.92 tff(20036,plain,
% 6.28/4.92 (trans(s248, s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20035, 20032, 57])).
% 6.28/4.92 tff(20037,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s248, s249)) | node14(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s248, s249)) | node14(s248, s249))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20038,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s248, s249)) | node14(s248, s249))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20039,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s248, s249)) | node14(s248, s249)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20038, 20037])).
% 6.28/4.92 tff(20040,plain,
% 6.28/4.92 (node14(s248, s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20039, 130, 20036])).
% 6.28/4.92 tff(20041,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, 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(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20042,plain,
% 6.28/4.92 (((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2)) <=> (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20043,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, 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(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2))))),
% 6.28/4.92 inference(monotonicity,[status(thm)],[20042])).
% 6.28/4.92 tff(20044,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, 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(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2)))),
% 6.28/4.92 inference(transitivity,[status(thm)],[20043, 20041])).
% 6.28/4.92 tff(20045,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s248, c_c2)) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | m_main_v_state2(s249, c_n2))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20046,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~node14(s248, s249)) | (~m_main_v_state2(s248, c_c2))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 6.28/4.92 tff(20047,plain,
% 6.28/4.92 (m_main_v_state2(s249, c_n2) | node9(s248) | node8(s248) | node10(s248) | node11(s248) | node12(s248) | (~m_main_v_state2(s248, c_c2))),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20046, 826, 20040])).
% 6.28/4.92 tff(20048,plain,
% 6.28/4.92 (m_main_v_state2(s249, c_n2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20047, 20029, 19984, 20021, 20017, 20009, 19992])).
% 6.28/4.92 tff(20049,plain,
% 6.28/4.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20050,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20051,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_c2))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20050, 20049])).
% 6.28/4.92 tff(20052,plain,
% 6.28/4.92 (~m_main_v_state2(s249, c_c2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20051, 716, 20048])).
% 6.28/4.92 tff(20053,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s249, c_c2) | (~node3(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s249, c_c2) | (~node3(s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20054,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s249, c_c2) | (~node3(s249)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20055,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s249, c_c2) | (~node3(s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20054, 20053])).
% 6.28/4.92 tff(20056,plain,
% 6.28/4.92 (~node3(s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20055, 184, 20052])).
% 6.28/4.92 tff(20057,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s248, c_n1) | (~node1(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s248, c_n1) | (~node1(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20058,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s248, c_n1) | (~node1(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20059,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s248, c_n1) | (~node1(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20058, 20057])).
% 6.28/4.92 tff(20060,plain,
% 6.28/4.92 (~node1(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20059, 249, 20005])).
% 6.28/4.92 tff(20061,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s247, s248)) | node18(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s247, s248)) | node18(s247, s248))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20062,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s247, s248)) | node18(s247, s248))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20063,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s247, s248)) | node18(s247, s248)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20062, 20061])).
% 6.28/4.92 tff(20064,plain,
% 6.28/4.92 (node18(s247, s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20063, 71, 19975])).
% 6.28/4.92 tff(20065,plain,
% 6.28/4.92 (((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, 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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20066,plain,
% 6.28/4.92 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20067,plain,
% 6.28/4.92 ((~![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(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | (~node18(s247, s248)) | m_main_v_turn(s248, c_2)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 6.28/4.92 tff(20068,plain,
% 6.28/4.92 ((~m_main_v_state1(s247, c_n1)) | (~m_main_v_state2(s247, c_t2)) | m_main_v_turn(s248, c_2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20067, 625, 20064])).
% 6.28/4.92 tff(20069,plain,
% 6.28/4.92 (m_main_v_turn(s248, c_2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20068, 19928, 19964])).
% 6.28/4.92 tff(20070,plain,
% 6.28/4.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20071,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20072,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s248, c_1)) | (~m_main_v_turn(s248, c_2))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20071, 20070])).
% 6.28/4.92 tff(20073,plain,
% 6.28/4.92 (~m_main_v_turn(s248, c_1)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20072, 322, 20069])).
% 6.28/4.92 tff(20074,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s248, c_1) | (~node5(s248)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s248, c_1) | (~node5(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20075,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s248, c_1) | (~node5(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20076,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s248, c_1) | (~node5(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20075, 20074])).
% 6.28/4.92 tff(20077,plain,
% 6.28/4.92 (~node5(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20076, 641, 20073])).
% 6.28/4.92 tff(20078,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s248, c_n1) | (~node2(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s248, c_n1) | (~node2(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20079,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s248, c_n1) | (~node2(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20080,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s248, c_n1) | (~node2(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 6.28/4.92 tff(20081,plain,
% 6.28/4.92 (~node2(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20080, 652, 20005])).
% 6.28/4.92 tff(20082,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s248, c_n1) | (~node3(s248)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s248, c_n1) | (~node3(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20083,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s248, c_n1) | (~node3(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20084,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s248, c_n1) | (~node3(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 6.28/4.92 tff(20085,plain,
% 6.28/4.92 (~node3(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20084, 663, 20005])).
% 6.28/4.92 tff(20086,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s248, c_n2) | (~node4(s248)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s248, c_n2) | (~node4(s248)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20087,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s248, c_n2) | (~node4(s248)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20088,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s248, c_n2) | (~node4(s248))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 6.28/4.92 tff(20089,plain,
% 6.28/4.92 (~node4(s248)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20088, 162, 20025])).
% 6.28/4.92 tff(20090,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s248, s249)) | node7(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s248, s249)) | node7(s248, s249))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20091,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s248, s249)) | node7(s248, s249))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20092,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s248, s249)) | node7(s248, s249)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 6.28/4.92 tff(20093,plain,
% 6.28/4.92 (node7(s248, s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20092, 217, 20036])).
% 6.28/4.92 tff(20094,plain,
% 6.28/4.92 (((~![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(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))) <=> ((~![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(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20095,plain,
% 6.28/4.92 ((~![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(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20096,plain,
% 6.28/4.92 ((~![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(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249) | (~node7(s248, s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 6.28/4.92 tff(20097,plain,
% 6.28/4.92 (m_main_v_state1(s248, c_c1) | node1(s248) | node2(s248) | node3(s248) | node4(s248) | node5(s248) | node6(s248, s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20096, 745, 20093])).
% 6.28/4.92 tff(20098,plain,
% 6.28/4.92 (node6(s248, s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20097, 20089, 20013, 20085, 20081, 20077, 20060])).
% 6.28/4.92 tff(20099,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20100,plain,
% 6.28/4.92 (((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1))) <=> (m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20101,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, 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(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249))))),
% 6.28/4.92 inference(monotonicity,[status(thm)],[20100])).
% 6.28/4.92 tff(20102,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, 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(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249)))),
% 6.28/4.92 inference(transitivity,[status(thm)],[20101, 20099])).
% 6.28/4.92 tff(20103,plain,
% 6.28/4.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s248, s249)) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20104,plain,
% 6.28/4.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s248, c_n1) | (~m_main_v_state1(s249, c_n1)) | (~node6(s248, s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20103, 20102])).
% 6.28/4.92 tff(20105,plain,
% 6.28/4.92 (~m_main_v_state1(s249, c_n1)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20104, 936, 20005, 20098])).
% 6.28/4.92 tff(20106,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s249, c_n1) | (~node2(s249)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s249, c_n1) | (~node2(s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20107,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s249, c_n1) | (~node2(s249)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20108,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s249, c_n1) | (~node2(s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 6.28/4.92 tff(20109,plain,
% 6.28/4.92 (~node2(s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20108, 652, 20105])).
% 6.28/4.92 tff(20110,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20111,plain,
% 6.28/4.92 (((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1)) <=> ((~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20112,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, 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(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249))))),
% 6.28/4.92 inference(monotonicity,[status(thm)],[20111])).
% 6.28/4.92 tff(20113,plain,
% 6.28/4.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, 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(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249)))),
% 6.28/4.92 inference(transitivity,[status(thm)],[20112, 20110])).
% 6.28/4.92 tff(20114,plain,
% 6.28/4.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s248, s249)) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20115,plain,
% 6.28/4.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s248, c_t1)) | m_main_v_state1(s249, c_t1) | (~node6(s248, s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 6.28/4.92 tff(20116,plain,
% 6.28/4.92 (m_main_v_state1(s249, c_t1)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20115, 760, 20001, 20098])).
% 6.28/4.92 tff(20117,plain,
% 6.28/4.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20118,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20119,plain,
% 6.28/4.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s249, c_n2)) | (~m_main_v_state2(s249, c_t2))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 6.28/4.92 tff(20120,plain,
% 6.28/4.92 (~m_main_v_state2(s249, c_t2)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20119, 10, 20048])).
% 6.28/4.92 tff(20121,plain,
% 6.28/4.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s249, c_t2) | (~node1(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s249, c_t2) | (~node1(s249)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20122,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s249, c_t2) | (~node1(s249)))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20123,plain,
% 6.28/4.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s249, c_t2) | (~node1(s249))),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 6.28/4.92 tff(20124,plain,
% 6.28/4.92 (~node1(s249)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20123, 206, 20120])).
% 6.28/4.92 tff(20125,plain,
% 6.28/4.92 (succ(s249, s250) <=> succ(s249, s250)),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20126,axiom,(succ(s249, s250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound250')).
% 6.28/4.92 tff(20127,plain,
% 6.28/4.92 (succ(s249, s250)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 6.28/4.92 tff(20128,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20129,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20130,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20129, 20128])).
% 6.28/4.92 tff(20131,plain,
% 6.28/4.92 (trans(s249, s250)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20130, 20127, 57])).
% 6.28/4.92 tff(20132,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s249, s250)) | node7(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s249, s250)) | node7(s249, s250))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20133,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s249, s250)) | node7(s249, s250))),
% 6.28/4.92 inference(quant_inst,[status(thm)],[])).
% 6.28/4.92 tff(20134,plain,
% 6.28/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s249, s250)) | node7(s249, s250)),
% 6.28/4.92 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 6.28/4.92 tff(20135,plain,
% 6.28/4.92 (node7(s249, s250)),
% 6.28/4.92 inference(unit_resolution,[status(thm)],[20134, 217, 20131])).
% 6.28/4.92 tff(20136,plain,
% 6.28/4.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 6.28/4.92 inference(rewrite,[status(thm)],[])).
% 6.28/4.92 tff(20137,plain,
% 6.28/4.92 (((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1)) <=> ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20138,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, 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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250))))),
% 6.29/4.93 inference(monotonicity,[status(thm)],[20137])).
% 6.29/4.93 tff(20139,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, 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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)))),
% 6.29/4.93 inference(transitivity,[status(thm)],[20138, 20136])).
% 6.29/4.93 tff(20140,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250)) | m_main_v_state1(s250, c_c1))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20141,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249) | (~node7(s249, s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 6.29/4.93 tff(20142,plain,
% 6.29/4.93 ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state1(s250, c_c1) | node1(s249) | node2(s249) | node3(s249)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20141, 965, 20135])).
% 6.29/4.93 tff(20143,plain,
% 6.29/4.93 (m_main_v_state1(s250, c_c1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20142, 20124, 20048, 20116, 20109, 20056])).
% 6.29/4.93 tff(20144,plain,
% 6.29/4.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20145,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20146,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_t1)) | (~m_main_v_state1(s250, c_c1))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20145, 20144])).
% 6.29/4.93 tff(20147,plain,
% 6.29/4.93 (~m_main_v_state1(s250, c_t1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20146, 289, 20143])).
% 6.29/4.93 tff(20148,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s250, c_t1) | (~node5(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s250, c_t1) | (~node5(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20149,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s250, c_t1) | (~node5(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20150,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s250, c_t1) | (~node5(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 6.29/4.93 tff(20151,plain,
% 6.29/4.93 (~node5(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20150, 300, 20147])).
% 6.29/4.93 tff(20152,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s249, s250)) | node14(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s249, s250)) | node14(s249, s250))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20153,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s249, s250)) | node14(s249, s250))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20154,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s249, s250)) | node14(s249, s250)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20153, 20152])).
% 6.29/4.93 tff(20155,plain,
% 6.29/4.93 (node14(s249, s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20154, 130, 20131])).
% 6.29/4.93 tff(20156,plain,
% 6.29/4.93 (((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, 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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20157,plain,
% 6.29/4.93 ((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20158,plain,
% 6.29/4.93 ((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | (~node14(s249, s250)) | m_main_v_state2(s250, c_t2)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 6.29/4.93 tff(20159,plain,
% 6.29/4.93 ((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_state2(s250, c_t2)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20158, 893, 20155])).
% 6.29/4.93 tff(20160,plain,
% 6.29/4.93 (m_main_v_state2(s250, c_t2)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20159, 20116, 20048])).
% 6.29/4.93 tff(20161,plain,
% 6.29/4.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20162,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20163,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s250, c_n2)) | (~m_main_v_state2(s250, c_t2))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 6.29/4.93 tff(20164,plain,
% 6.29/4.93 (~m_main_v_state2(s250, c_n2)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20163, 10, 20160])).
% 6.29/4.93 tff(20165,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s250, c_n2) | (~node4(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s250, c_n2) | (~node4(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20166,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s250, c_n2) | (~node4(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20167,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s250, c_n2) | (~node4(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 6.29/4.93 tff(20168,plain,
% 6.29/4.93 (~node4(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20167, 162, 20164])).
% 6.29/4.93 tff(20169,plain,
% 6.29/4.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20170,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20171,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s250, c_t2)) | (~m_main_v_state2(s250, c_c2))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20170, 20169])).
% 6.29/4.93 tff(20172,plain,
% 6.29/4.93 (~m_main_v_state2(s250, c_c2)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20171, 173, 20160])).
% 6.29/4.93 tff(20173,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s250, c_c2) | (~node3(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s250, c_c2) | (~node3(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20174,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s250, c_c2) | (~node3(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20175,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s250, c_c2) | (~node3(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 6.29/4.93 tff(20176,plain,
% 6.29/4.93 (~node3(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20175, 184, 20172])).
% 6.29/4.93 tff(20177,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s250, c_n2) | (~node2(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s250, c_n2) | (~node2(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20178,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s250, c_n2) | (~node2(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20179,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s250, c_n2) | (~node2(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 6.29/4.93 tff(20180,plain,
% 6.29/4.93 (~node2(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20179, 195, 20164])).
% 6.29/4.93 tff(20181,plain,
% 6.29/4.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20182,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20183,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s250, c_n1)) | (~m_main_v_state1(s250, c_c1))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20182, 20181])).
% 6.29/4.93 tff(20184,plain,
% 6.29/4.93 (~m_main_v_state1(s250, c_n1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20183, 449, 20143])).
% 6.29/4.93 tff(20185,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s250, c_n1) | (~node1(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s250, c_n1) | (~node1(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20186,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s250, c_n1) | (~node1(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20187,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s250, c_n1) | (~node1(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 6.29/4.93 tff(20188,plain,
% 6.29/4.93 (~node1(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20187, 249, 20184])).
% 6.29/4.93 tff(20189,plain,
% 6.29/4.93 (succ(s250, s251) <=> succ(s250, s251)),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20190,axiom,(succ(s250, s251)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound251')).
% 6.29/4.93 tff(20191,plain,
% 6.29/4.93 (succ(s250, s251)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 6.29/4.93 tff(20192,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20193,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20194,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20193, 20192])).
% 6.29/4.93 tff(20195,plain,
% 6.29/4.93 (trans(s250, s251)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20194, 20191, 57])).
% 6.29/4.93 tff(20196,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s250, s251)) | node7(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s250, s251)) | node7(s250, s251))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20197,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s250, s251)) | node7(s250, s251))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20198,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s250, s251)) | node7(s250, s251)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 6.29/4.93 tff(20199,plain,
% 6.29/4.93 (node7(s250, s251)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20198, 217, 20195])).
% 6.29/4.93 tff(20200,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20201,plain,
% 6.29/4.93 (((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1)) <=> (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20202,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, 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(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251))))),
% 6.29/4.93 inference(monotonicity,[status(thm)],[20201])).
% 6.29/4.93 tff(20203,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, 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(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)))),
% 6.29/4.93 inference(transitivity,[status(thm)],[20202, 20200])).
% 6.29/4.93 tff(20204,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251)) | m_main_v_state1(s251, c_n1))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20205,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250) | (~node7(s250, s251))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20204, 20203])).
% 6.29/4.93 tff(20206,plain,
% 6.29/4.93 (m_main_v_state1(s251, c_n1) | (~m_main_v_state1(s250, c_c1)) | node1(s250) | node2(s250) | node3(s250) | node4(s250) | node5(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20205, 478, 20199])).
% 6.29/4.93 tff(20207,plain,
% 6.29/4.93 (m_main_v_state1(s251, c_n1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20206, 20188, 20143, 20180, 20176, 20168, 20151])).
% 6.29/4.93 tff(20208,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s249, c_t2) | (~node15(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s249, c_t2) | (~node15(s249)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20209,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s249, c_t2) | (~node15(s249)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20210,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s249, c_t2) | (~node15(s249))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 6.29/4.93 tff(20211,plain,
% 6.29/4.93 (~node15(s249)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20210, 21, 20120])).
% 6.29/4.93 tff(20212,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s249, s250)) | node18(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s249, s250)) | node18(s249, s250))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20213,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s249, s250)) | node18(s249, s250))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20214,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s249, s250)) | node18(s249, s250)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 6.29/4.93 tff(20215,plain,
% 6.29/4.93 (node18(s249, s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20214, 71, 20131])).
% 6.29/4.93 tff(20216,plain,
% 6.29/4.93 (((~![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(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, 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(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20217,plain,
% 6.29/4.93 (((~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1)) <=> (node15(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20218,plain,
% 6.29/4.93 (((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, 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(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)))),
% 6.29/4.93 inference(monotonicity,[status(thm)],[20217])).
% 6.29/4.93 tff(20219,plain,
% 6.29/4.93 (((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, 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(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1))),
% 6.29/4.93 inference(transitivity,[status(thm)],[20218, 20216])).
% 6.29/4.93 tff(20220,plain,
% 6.29/4.93 ((~![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(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | node15(s249) | (~node18(s249, s250)) | m_main_v_turn(s250, c_1))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20221,plain,
% 6.29/4.93 ((~![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(s249) | (~node18(s249, s250)) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20220, 20219])).
% 6.29/4.93 tff(20222,plain,
% 6.29/4.93 (node15(s249) | (~m_main_v_state1(s249, c_t1)) | (~m_main_v_state2(s249, c_n2)) | m_main_v_turn(s250, c_1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20221, 863, 20215])).
% 6.29/4.93 tff(20223,plain,
% 6.29/4.93 (m_main_v_turn(s250, c_1)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20222, 20211, 20048, 20116])).
% 6.29/4.93 tff(20224,plain,
% 6.29/4.93 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20225,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20226,plain,
% 6.29/4.93 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s250, c_1)) | (~m_main_v_turn(s250, c_2))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20225, 20224])).
% 6.29/4.93 tff(20227,plain,
% 6.29/4.93 (~m_main_v_turn(s250, c_2)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20226, 322, 20223])).
% 6.29/4.93 tff(20228,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s250, c_2) | (~node12(s250)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s250, c_2) | (~node12(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20229,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s250, c_2) | (~node12(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20230,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s250, c_2) | (~node12(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20229, 20228])).
% 6.29/4.93 tff(20231,plain,
% 6.29/4.93 (~node12(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20230, 350, 20227])).
% 6.29/4.93 tff(20232,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s250, c_n2) | (~node8(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s250, c_n2) | (~node8(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20233,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s250, c_n2) | (~node8(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20234,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s250, c_n2) | (~node8(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20233, 20232])).
% 6.29/4.93 tff(20235,plain,
% 6.29/4.93 (~node8(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20234, 383, 20164])).
% 6.29/4.93 tff(20236,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s250, c_n2) | (~node9(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s250, c_n2) | (~node9(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20237,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s250, c_n2) | (~node9(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20238,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s250, c_n2) | (~node9(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20237, 20236])).
% 6.29/4.93 tff(20239,plain,
% 6.29/4.93 (~node9(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20238, 311, 20164])).
% 6.29/4.93 tff(20240,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s250, c_n2) | (~node10(s250)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s250, c_n2) | (~node10(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20241,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s250, c_n2) | (~node10(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20242,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s250, c_n2) | (~node10(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20241, 20240])).
% 6.29/4.93 tff(20243,plain,
% 6.29/4.93 (~node10(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20242, 372, 20164])).
% 6.29/4.93 tff(20244,plain,
% 6.29/4.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s250, c_n1) | (~node11(s250)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s250, c_n1) | (~node11(s250)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20245,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s250, c_n1) | (~node11(s250)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20246,plain,
% 6.29/4.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s250, c_n1) | (~node11(s250))),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20245, 20244])).
% 6.29/4.93 tff(20247,plain,
% 6.29/4.93 (~node11(s250)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20246, 361, 20184])).
% 6.29/4.93 tff(20248,plain,
% 6.29/4.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s250, s251)) | node14(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s250, s251)) | node14(s250, s251))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20249,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s250, s251)) | node14(s250, s251))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20250,plain,
% 6.29/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s250, s251)) | node14(s250, s251)),
% 6.29/4.93 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 6.29/4.93 tff(20251,plain,
% 6.29/4.93 (node14(s250, s251)),
% 6.29/4.93 inference(unit_resolution,[status(thm)],[20250, 130, 20195])).
% 6.29/4.93 tff(20252,plain,
% 6.29/4.93 (((~![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(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))) <=> ((~![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(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))),
% 6.29/4.93 inference(rewrite,[status(thm)],[])).
% 6.29/4.93 tff(20253,plain,
% 6.29/4.93 ((~![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(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251)))),
% 6.29/4.93 inference(quant_inst,[status(thm)],[])).
% 6.29/4.93 tff(20254,plain,
% 6.29/4.93 ((~![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(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251) | (~node14(s250, s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20253, 20252])).
% 6.29/4.94 tff(20255,plain,
% 6.29/4.94 (m_main_v_state2(s250, c_c2) | node9(s250) | node8(s250) | node10(s250) | node11(s250) | node12(s250) | node13(s250, s251)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20254, 401, 20251])).
% 6.29/4.94 tff(20256,plain,
% 6.29/4.94 (node13(s250, s251)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20255, 20247, 20172, 20243, 20239, 20235, 20231])).
% 6.29/4.94 tff(20257,plain,
% 6.29/4.94 (((~![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(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20258,plain,
% 6.29/4.94 (((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2)) <=> ((~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20259,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, 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(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251))))),
% 6.29/4.94 inference(monotonicity,[status(thm)],[20258])).
% 6.29/4.94 tff(20260,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, 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(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251)))),
% 6.29/4.94 inference(transitivity,[status(thm)],[20259, 20257])).
% 6.29/4.94 tff(20261,plain,
% 6.29/4.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s250, s251)) | (~m_main_v_state2(s250, c_t2)) | m_main_v_state2(s251, c_t2))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20262,plain,
% 6.29/4.94 ((~![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(s250, c_t2)) | m_main_v_state2(s251, c_t2) | (~node13(s250, s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20261, 20260])).
% 6.29/4.94 tff(20263,plain,
% 6.29/4.94 (m_main_v_state2(s251, c_t2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20262, 563, 20160, 20256])).
% 6.29/4.94 tff(20264,plain,
% 6.29/4.94 (succ(s251, s252) <=> succ(s251, s252)),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20265,axiom,(succ(s251, s252)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound252')).
% 6.29/4.94 tff(20266,plain,
% 6.29/4.94 (succ(s251, s252)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 6.29/4.94 tff(20267,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20268,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20269,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 6.29/4.94 tff(20270,plain,
% 6.29/4.94 (trans(s251, s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20269, 20266, 57])).
% 6.29/4.94 tff(20271,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s251, s252)) | node7(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s251, s252)) | node7(s251, s252))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20272,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s251, s252)) | node7(s251, s252))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20273,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s251, s252)) | node7(s251, s252)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 6.29/4.94 tff(20274,plain,
% 6.29/4.94 (node7(s251, s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20273, 217, 20270])).
% 6.29/4.94 tff(20275,plain,
% 6.29/4.94 (((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, 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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20276,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20277,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node7(s251, s252)) | m_main_v_state1(s252, c_t1)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 6.29/4.94 tff(20278,plain,
% 6.29/4.94 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_state1(s252, c_t1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20277, 598, 20274])).
% 6.29/4.94 tff(20279,plain,
% 6.29/4.94 (m_main_v_state1(s252, c_t1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20278, 20263, 20207])).
% 6.29/4.94 tff(20280,plain,
% 6.29/4.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20281,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20282,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s252, c_n1)) | (~m_main_v_state1(s252, c_t1))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20281, 20280])).
% 6.29/4.94 tff(20283,plain,
% 6.29/4.94 (~m_main_v_state1(s252, c_n1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20282, 35, 20279])).
% 6.29/4.94 tff(20284,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s252, c_n1) | (~node1(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s252, c_n1) | (~node1(s252)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20285,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s252, c_n1) | (~node1(s252)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20286,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s252, c_n1) | (~node1(s252))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20285, 20284])).
% 6.29/4.94 tff(20287,plain,
% 6.29/4.94 (~node1(s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20286, 249, 20283])).
% 6.29/4.94 tff(20288,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s251, s252)) | node18(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s251, s252)) | node18(s251, s252))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20289,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s251, s252)) | node18(s251, s252))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20290,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s251, s252)) | node18(s251, s252)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20289, 20288])).
% 6.29/4.94 tff(20291,plain,
% 6.29/4.94 (node18(s251, s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20290, 71, 20270])).
% 6.29/4.94 tff(20292,plain,
% 6.29/4.94 (((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, 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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20293,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20294,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | (~node18(s251, s252)) | m_main_v_turn(s252, c_2)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 6.29/4.94 tff(20295,plain,
% 6.29/4.94 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | m_main_v_turn(s252, c_2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20294, 625, 20291])).
% 6.29/4.94 tff(20296,plain,
% 6.29/4.94 (m_main_v_turn(s252, c_2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20295, 20263, 20207])).
% 6.29/4.94 tff(20297,plain,
% 6.29/4.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20298,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20299,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s252, c_1)) | (~m_main_v_turn(s252, c_2))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20298, 20297])).
% 6.29/4.94 tff(20300,plain,
% 6.29/4.94 (~m_main_v_turn(s252, c_1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20299, 322, 20296])).
% 6.29/4.94 tff(20301,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s252, c_1) | (~node5(s252)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s252, c_1) | (~node5(s252)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20302,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s252, c_1) | (~node5(s252)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20303,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s252, c_1) | (~node5(s252))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 6.29/4.94 tff(20304,plain,
% 6.29/4.94 (~node5(s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20303, 641, 20300])).
% 6.29/4.94 tff(20305,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s252, c_n1) | (~node2(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s252, c_n1) | (~node2(s252)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20306,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s252, c_n1) | (~node2(s252)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20307,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s252, c_n1) | (~node2(s252))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20306, 20305])).
% 6.29/4.94 tff(20308,plain,
% 6.29/4.94 (~node2(s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20307, 652, 20283])).
% 6.29/4.94 tff(20309,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s252, c_n1) | (~node3(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s252, c_n1) | (~node3(s252)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20310,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s252, c_n1) | (~node3(s252)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20311,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s252, c_n1) | (~node3(s252))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 6.29/4.94 tff(20312,plain,
% 6.29/4.94 (~node3(s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20311, 663, 20283])).
% 6.29/4.94 tff(20313,plain,
% 6.29/4.94 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20314,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20315,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s252, c_t1)) | (~m_main_v_state1(s252, c_c1))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 6.29/4.94 tff(20316,plain,
% 6.29/4.94 (~m_main_v_state1(s252, c_c1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20315, 289, 20279])).
% 6.29/4.94 tff(20317,plain,
% 6.29/4.94 (((~![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(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20318,plain,
% 6.29/4.94 (((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2))) <=> (m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20319,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, 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(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251))))),
% 6.29/4.94 inference(monotonicity,[status(thm)],[20318])).
% 6.29/4.94 tff(20320,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, 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(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251)))),
% 6.29/4.94 inference(transitivity,[status(thm)],[20319, 20317])).
% 6.29/4.94 tff(20321,plain,
% 6.29/4.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s250, s251)) | m_main_v_state2(s250, c_n2) | (~m_main_v_state2(s251, c_n2)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20322,plain,
% 6.29/4.94 ((~![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(s250, c_n2) | (~m_main_v_state2(s251, c_n2)) | (~node13(s250, s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20321, 20320])).
% 6.29/4.94 tff(20323,plain,
% 6.29/4.94 (~m_main_v_state2(s251, c_n2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20322, 416, 20164, 20256])).
% 6.29/4.94 tff(20324,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s251, c_n2) | (~node9(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s251, c_n2) | (~node9(s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20325,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s251, c_n2) | (~node9(s251)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20326,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s251, c_n2) | (~node9(s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20325, 20324])).
% 6.29/4.94 tff(20327,plain,
% 6.29/4.94 (~node9(s251)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20326, 311, 20323])).
% 6.29/4.94 tff(20328,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s251, c_n2) | (~node10(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s251, c_n2) | (~node10(s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20329,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s251, c_n2) | (~node10(s251)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20330,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s251, c_n2) | (~node10(s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 6.29/4.94 tff(20331,plain,
% 6.29/4.94 (~node10(s251)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20330, 372, 20323])).
% 6.29/4.94 tff(20332,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s251, c_n2) | (~node8(s251)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s251, c_n2) | (~node8(s251)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20333,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s251, c_n2) | (~node8(s251)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20334,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s251, c_n2) | (~node8(s251))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20333, 20332])).
% 6.29/4.94 tff(20335,plain,
% 6.29/4.94 (~node8(s251)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20334, 383, 20323])).
% 6.29/4.94 tff(20336,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s251, s252)) | node14(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s251, s252)) | node14(s251, s252))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20337,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s251, s252)) | node14(s251, s252))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20338,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s251, s252)) | node14(s251, s252)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20337, 20336])).
% 6.29/4.94 tff(20339,plain,
% 6.29/4.94 (node14(s251, s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20338, 130, 20270])).
% 6.29/4.94 tff(20340,plain,
% 6.29/4.94 (((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, 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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20341,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20342,plain,
% 6.29/4.94 ((~![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(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | (~node14(s251, s252)) | m_main_v_state2(s252, c_c2)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 6.29/4.94 tff(20343,plain,
% 6.29/4.94 ((~m_main_v_state1(s251, c_n1)) | (~m_main_v_state2(s251, c_t2)) | node9(s251) | node8(s251) | node10(s251) | m_main_v_state2(s252, c_c2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20342, 704, 20339])).
% 6.29/4.94 tff(20344,plain,
% 6.29/4.94 (m_main_v_state2(s252, c_c2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20343, 20335, 20207, 20263, 20331, 20327])).
% 6.29/4.94 tff(20345,plain,
% 6.29/4.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20346,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20347,plain,
% 6.29/4.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_n2)) | (~m_main_v_state2(s252, c_c2))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20346, 20345])).
% 6.29/4.94 tff(20348,plain,
% 6.29/4.94 (~m_main_v_state2(s252, c_n2)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20347, 716, 20344])).
% 6.29/4.94 tff(20349,plain,
% 6.29/4.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s252, c_n2) | (~node4(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s252, c_n2) | (~node4(s252)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20350,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s252, c_n2) | (~node4(s252)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20351,plain,
% 6.29/4.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s252, c_n2) | (~node4(s252))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20350, 20349])).
% 6.29/4.94 tff(20352,plain,
% 6.29/4.94 (~node4(s252)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20351, 162, 20348])).
% 6.29/4.94 tff(20353,plain,
% 6.29/4.94 (succ(s252, s253) <=> succ(s252, s253)),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20354,axiom,(succ(s252, s253)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound253')).
% 6.29/4.94 tff(20355,plain,
% 6.29/4.94 (succ(s252, s253)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 6.29/4.94 tff(20356,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20357,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20358,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20357, 20356])).
% 6.29/4.94 tff(20359,plain,
% 6.29/4.94 (trans(s252, s253)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20358, 20355, 57])).
% 6.29/4.94 tff(20360,plain,
% 6.29/4.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s252, s253)) | node7(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s252, s253)) | node7(s252, s253))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20361,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s252, s253)) | node7(s252, s253))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20362,plain,
% 6.29/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s252, s253)) | node7(s252, s253)),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20361, 20360])).
% 6.29/4.94 tff(20363,plain,
% 6.29/4.94 (node7(s252, s253)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20362, 217, 20359])).
% 6.29/4.94 tff(20364,plain,
% 6.29/4.94 (((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))) <=> ((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20365,plain,
% 6.29/4.94 ((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253)))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20366,plain,
% 6.29/4.94 ((~![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(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253) | (~node7(s252, s253))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20365, 20364])).
% 6.29/4.94 tff(20367,plain,
% 6.29/4.94 (m_main_v_state1(s252, c_c1) | node1(s252) | node2(s252) | node3(s252) | node4(s252) | node5(s252) | node6(s252, s253)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20366, 745, 20363])).
% 6.29/4.94 tff(20368,plain,
% 6.29/4.94 (node6(s252, s253)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20367, 20352, 20316, 20312, 20308, 20304, 20287])).
% 6.29/4.94 tff(20369,plain,
% 6.29/4.94 (((~![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(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20370,plain,
% 6.29/4.94 (((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1)) <=> ((~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 6.29/4.94 inference(rewrite,[status(thm)],[])).
% 6.29/4.94 tff(20371,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, 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(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253))))),
% 6.29/4.94 inference(monotonicity,[status(thm)],[20370])).
% 6.29/4.94 tff(20372,plain,
% 6.29/4.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, 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(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253)))),
% 6.29/4.94 inference(transitivity,[status(thm)],[20371, 20369])).
% 6.29/4.94 tff(20373,plain,
% 6.29/4.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s252, s253)) | (~m_main_v_state1(s252, c_t1)) | m_main_v_state1(s253, c_t1))),
% 6.29/4.94 inference(quant_inst,[status(thm)],[])).
% 6.29/4.94 tff(20374,plain,
% 6.29/4.94 ((~![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(s252, c_t1)) | m_main_v_state1(s253, c_t1) | (~node6(s252, s253))),
% 6.29/4.94 inference(modus_ponens,[status(thm)],[20373, 20372])).
% 6.29/4.94 tff(20375,plain,
% 6.29/4.94 (m_main_v_state1(s253, c_t1)),
% 6.29/4.94 inference(unit_resolution,[status(thm)],[20374, 760, 20279, 20368])).
% 6.29/4.94 tff(20376,plain,
% 6.29/4.94 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20377,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20378,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s252, c_t2)) | (~m_main_v_state2(s252, c_c2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 6.29/4.95 tff(20379,plain,
% 6.29/4.95 (~m_main_v_state2(s252, c_t2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20378, 173, 20344])).
% 6.29/4.95 tff(20380,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s252, c_t2) | (~node12(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s252, c_t2) | (~node12(s252)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20381,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s252, c_t2) | (~node12(s252)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20382,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s252, c_t2) | (~node12(s252))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 6.29/4.95 tff(20383,plain,
% 6.29/4.95 (~node12(s252)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20382, 778, 20379])).
% 6.29/4.95 tff(20384,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s252, c_n1) | (~node11(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s252, c_n1) | (~node11(s252)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20385,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s252, c_n1) | (~node11(s252)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20386,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s252, c_n1) | (~node11(s252))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 6.29/4.95 tff(20387,plain,
% 6.29/4.95 (~node11(s252)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20386, 361, 20283])).
% 6.29/4.95 tff(20388,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s252, c_c1) | (~node10(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s252, c_c1) | (~node10(s252)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20389,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s252, c_c1) | (~node10(s252)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20390,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s252, c_c1) | (~node10(s252))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 6.29/4.95 tff(20391,plain,
% 6.29/4.95 (~node10(s252)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20390, 793, 20316])).
% 6.29/4.95 tff(20392,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s252, c_n1) | (~node9(s252)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s252, c_n1) | (~node9(s252)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20393,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s252, c_n1) | (~node9(s252)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20394,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s252, c_n1) | (~node9(s252))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 6.29/4.95 tff(20395,plain,
% 6.29/4.95 (~node9(s252)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20394, 804, 20283])).
% 6.29/4.95 tff(20396,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s252, c_n2) | (~node8(s252)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s252, c_n2) | (~node8(s252)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20397,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s252, c_n2) | (~node8(s252)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20398,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s252, c_n2) | (~node8(s252))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 6.29/4.95 tff(20399,plain,
% 6.29/4.95 (~node8(s252)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20398, 383, 20348])).
% 6.29/4.95 tff(20400,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s252, s253)) | node14(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s252, s253)) | node14(s252, s253))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20401,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s252, s253)) | node14(s252, s253))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20402,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s252, s253)) | node14(s252, s253)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 6.29/4.95 tff(20403,plain,
% 6.29/4.95 (node14(s252, s253)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20402, 130, 20359])).
% 6.29/4.95 tff(20404,plain,
% 6.29/4.95 (((~![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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, 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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20405,plain,
% 6.29/4.95 (((~m_main_v_state2(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2)) <=> (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20406,plain,
% 6.29/4.95 (((~![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(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, 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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2))))),
% 6.29/4.95 inference(monotonicity,[status(thm)],[20405])).
% 6.29/4.95 tff(20407,plain,
% 6.29/4.95 (((~![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(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, 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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2)))),
% 6.29/4.95 inference(transitivity,[status(thm)],[20406, 20404])).
% 6.29/4.95 tff(20408,plain,
% 6.29/4.95 ((~![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(s252, c_c2)) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | m_main_v_state2(s253, c_n2))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20409,plain,
% 6.29/4.95 ((~![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(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~node14(s252, s253)) | (~m_main_v_state2(s252, c_c2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 6.29/4.95 tff(20410,plain,
% 6.29/4.95 (m_main_v_state2(s253, c_n2) | node9(s252) | node8(s252) | node10(s252) | node11(s252) | node12(s252) | (~m_main_v_state2(s252, c_c2))),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20409, 826, 20403])).
% 6.29/4.95 tff(20411,plain,
% 6.29/4.95 (m_main_v_state2(s253, c_n2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20410, 20399, 20344, 20395, 20391, 20387, 20383])).
% 6.29/4.95 tff(20412,plain,
% 6.29/4.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20413,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20414,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_t2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20413, 20412])).
% 6.29/4.95 tff(20415,plain,
% 6.29/4.95 (~m_main_v_state2(s253, c_t2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20414, 10, 20411])).
% 6.29/4.95 tff(20416,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s253, c_t2) | (~node15(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s253, c_t2) | (~node15(s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20417,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s253, c_t2) | (~node15(s253)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20418,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s253, c_t2) | (~node15(s253))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20417, 20416])).
% 6.29/4.95 tff(20419,plain,
% 6.29/4.95 (~node15(s253)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20418, 21, 20415])).
% 6.29/4.95 tff(20420,plain,
% 6.29/4.95 (succ(s253, s254) <=> succ(s253, s254)),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20421,axiom,(succ(s253, s254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound254')).
% 6.29/4.95 tff(20422,plain,
% 6.29/4.95 (succ(s253, s254)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20421, 20420])).
% 6.29/4.95 tff(20423,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20424,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20425,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 6.29/4.95 tff(20426,plain,
% 6.29/4.95 (trans(s253, s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20425, 20422, 57])).
% 6.29/4.95 tff(20427,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s253, s254)) | node18(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s253, s254)) | node18(s253, s254))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20428,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s253, s254)) | node18(s253, s254))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20429,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s253, s254)) | node18(s253, s254)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20428, 20427])).
% 6.29/4.95 tff(20430,plain,
% 6.29/4.95 (node18(s253, s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20429, 71, 20426])).
% 6.29/4.95 tff(20431,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~m_main_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(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, 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(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20432,plain,
% 6.29/4.95 (((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1)) <=> (node15(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20433,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~m_main_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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, 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(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)))),
% 6.29/4.95 inference(monotonicity,[status(thm)],[20432])).
% 6.29/4.95 tff(20434,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~m_main_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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, 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(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1))),
% 6.29/4.95 inference(transitivity,[status(thm)],[20433, 20431])).
% 6.29/4.95 tff(20435,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~m_main_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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node15(s253) | (~node18(s253, s254)) | m_main_v_turn(s254, c_1))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20436,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~m_main_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(s253) | (~node18(s253, s254)) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20435, 20434])).
% 6.29/4.95 tff(20437,plain,
% 6.29/4.95 (node15(s253) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_turn(s254, c_1)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20436, 863, 20430])).
% 6.29/4.95 tff(20438,plain,
% 6.29/4.95 (m_main_v_turn(s254, c_1)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20437, 20419, 20411, 20375])).
% 6.29/4.95 tff(20439,plain,
% 6.29/4.95 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20440,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20441,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s254, c_1)) | (~m_main_v_turn(s254, c_2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20440, 20439])).
% 6.29/4.95 tff(20442,plain,
% 6.29/4.95 (~m_main_v_turn(s254, c_2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20441, 322, 20438])).
% 6.29/4.95 tff(20443,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s254, c_2) | (~node12(s254)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s254, c_2) | (~node12(s254)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20444,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s254, c_2) | (~node12(s254)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20445,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s254, c_2) | (~node12(s254))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 6.29/4.95 tff(20446,plain,
% 6.29/4.95 (~node12(s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20445, 350, 20442])).
% 6.29/4.95 tff(20447,plain,
% 6.29/4.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s253, s254)) | node14(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s253, s254)) | node14(s253, s254))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20448,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s253, s254)) | node14(s253, s254))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20449,plain,
% 6.29/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s253, s254)) | node14(s253, s254)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20448, 20447])).
% 6.29/4.95 tff(20450,plain,
% 6.29/4.95 (node14(s253, s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20449, 130, 20426])).
% 6.29/4.95 tff(20451,plain,
% 6.29/4.95 (((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, 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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20452,plain,
% 6.29/4.95 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20453,plain,
% 6.29/4.95 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | (~node14(s253, s254)) | m_main_v_state2(s254, c_t2)),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20452, 20451])).
% 6.29/4.95 tff(20454,plain,
% 6.29/4.95 ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state2(s254, c_t2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20453, 893, 20450])).
% 6.29/4.95 tff(20455,plain,
% 6.29/4.95 (m_main_v_state2(s254, c_t2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20454, 20375, 20411])).
% 6.29/4.95 tff(20456,plain,
% 6.29/4.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20457,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20458,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s254, c_n2)) | (~m_main_v_state2(s254, c_t2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 6.29/4.95 tff(20459,plain,
% 6.29/4.95 (~m_main_v_state2(s254, c_n2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20458, 10, 20455])).
% 6.29/4.95 tff(20460,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s254, c_n2) | (~node8(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s254, c_n2) | (~node8(s254)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20461,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s254, c_n2) | (~node8(s254)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20462,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s254, c_n2) | (~node8(s254))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20461, 20460])).
% 6.29/4.95 tff(20463,plain,
% 6.29/4.95 (~node8(s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20462, 383, 20459])).
% 6.29/4.95 tff(20464,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s254, c_n2) | (~node9(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s254, c_n2) | (~node9(s254)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20465,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s254, c_n2) | (~node9(s254)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20466,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s254, c_n2) | (~node9(s254))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20465, 20464])).
% 6.29/4.95 tff(20467,plain,
% 6.29/4.95 (~node9(s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20466, 311, 20459])).
% 6.29/4.95 tff(20468,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s254, c_n2) | (~node10(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s254, c_n2) | (~node10(s254)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20469,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s254, c_n2) | (~node10(s254)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20470,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s254, c_n2) | (~node10(s254))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 6.29/4.95 tff(20471,plain,
% 6.29/4.95 (~node10(s254)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20470, 372, 20459])).
% 6.29/4.95 tff(20472,plain,
% 6.29/4.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20473,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20474,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s254, c_t2)) | (~m_main_v_state2(s254, c_c2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20473, 20472])).
% 6.29/4.95 tff(20475,plain,
% 6.29/4.95 (~m_main_v_state2(s254, c_c2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20474, 173, 20455])).
% 6.29/4.95 tff(20476,plain,
% 6.29/4.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20477,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20478,plain,
% 6.29/4.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s253, c_n2)) | (~m_main_v_state2(s253, c_c2))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20477, 20476])).
% 6.29/4.95 tff(20479,plain,
% 6.29/4.95 (~m_main_v_state2(s253, c_c2)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20478, 716, 20411])).
% 6.29/4.95 tff(20480,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s253, c_c2) | (~node3(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s253, c_c2) | (~node3(s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20481,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s253, c_c2) | (~node3(s253)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20482,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s253, c_c2) | (~node3(s253))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20481, 20480])).
% 6.29/4.95 tff(20483,plain,
% 6.29/4.95 (~node3(s253)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20482, 184, 20479])).
% 6.29/4.95 tff(20484,plain,
% 6.29/4.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20485,plain,
% 6.29/4.95 (((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1))) <=> (m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20486,plain,
% 6.29/4.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, 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(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253))))),
% 6.29/4.95 inference(monotonicity,[status(thm)],[20485])).
% 6.29/4.95 tff(20487,plain,
% 6.29/4.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, 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(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253)))),
% 6.29/4.95 inference(transitivity,[status(thm)],[20486, 20484])).
% 6.29/4.95 tff(20488,plain,
% 6.29/4.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s252, s253)) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20489,plain,
% 6.29/4.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s252, c_n1) | (~m_main_v_state1(s253, c_n1)) | (~node6(s252, s253))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 6.29/4.95 tff(20490,plain,
% 6.29/4.95 (~m_main_v_state1(s253, c_n1)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20489, 936, 20283, 20368])).
% 6.29/4.95 tff(20491,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s253, c_n1) | (~node2(s253)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s253, c_n1) | (~node2(s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20492,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s253, c_n1) | (~node2(s253)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20493,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s253, c_n1) | (~node2(s253))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 6.29/4.95 tff(20494,plain,
% 6.29/4.95 (~node2(s253)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20493, 652, 20490])).
% 6.29/4.95 tff(20495,plain,
% 6.29/4.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s253, c_t2) | (~node1(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s253, c_t2) | (~node1(s253)))),
% 6.29/4.95 inference(rewrite,[status(thm)],[])).
% 6.29/4.95 tff(20496,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s253, c_t2) | (~node1(s253)))),
% 6.29/4.95 inference(quant_inst,[status(thm)],[])).
% 6.29/4.95 tff(20497,plain,
% 6.29/4.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s253, c_t2) | (~node1(s253))),
% 6.29/4.95 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 6.29/4.95 tff(20498,plain,
% 6.29/4.95 (~node1(s253)),
% 6.29/4.95 inference(unit_resolution,[status(thm)],[20497, 206, 20415])).
% 6.29/4.96 tff(20499,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s253, s254)) | node7(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s253, s254)) | node7(s253, s254))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20500,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s253, s254)) | node7(s253, s254))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20501,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s253, s254)) | node7(s253, s254)),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 6.29/4.96 tff(20502,plain,
% 6.29/4.96 (node7(s253, s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20501, 217, 20426])).
% 6.29/4.96 tff(20503,plain,
% 6.29/4.96 (((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20504,plain,
% 6.29/4.96 (((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1)) <=> ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20505,plain,
% 6.29/4.96 (((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, 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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254))))),
% 6.29/4.96 inference(monotonicity,[status(thm)],[20504])).
% 6.29/4.96 tff(20506,plain,
% 6.29/4.96 (((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, 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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)))),
% 6.29/4.96 inference(transitivity,[status(thm)],[20505, 20503])).
% 6.29/4.96 tff(20507,plain,
% 6.29/4.96 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254)) | m_main_v_state1(s254, c_c1))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20508,plain,
% 6.29/4.96 ((~![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(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253) | (~node7(s253, s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 6.29/4.96 tff(20509,plain,
% 6.29/4.96 ((~m_main_v_state1(s253, c_t1)) | (~m_main_v_state2(s253, c_n2)) | m_main_v_state1(s254, c_c1) | node1(s253) | node2(s253) | node3(s253)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20508, 965, 20502])).
% 6.29/4.96 tff(20510,plain,
% 6.29/4.96 (m_main_v_state1(s254, c_c1)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20509, 20498, 20411, 20375, 20494, 20483])).
% 6.29/4.96 tff(20511,plain,
% 6.29/4.96 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20512,plain,
% 6.29/4.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20513,plain,
% 6.29/4.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_n1)) | (~m_main_v_state1(s254, c_c1))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20512, 20511])).
% 6.29/4.96 tff(20514,plain,
% 6.29/4.96 (~m_main_v_state1(s254, c_n1)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20513, 449, 20510])).
% 6.29/4.96 tff(20515,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s254, c_n1) | (~node11(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s254, c_n1) | (~node11(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20516,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s254, c_n1) | (~node11(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20517,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s254, c_n1) | (~node11(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 6.29/4.96 tff(20518,plain,
% 6.29/4.96 (~node11(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20517, 361, 20514])).
% 6.29/4.96 tff(20519,plain,
% 6.29/4.96 (succ(s254, s255) <=> succ(s254, s255)),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20520,axiom,(succ(s254, s255)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound255')).
% 6.29/4.96 tff(20521,plain,
% 6.29/4.96 (succ(s254, s255)),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20520, 20519])).
% 6.29/4.96 tff(20522,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20523,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20524,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20523, 20522])).
% 6.29/4.96 tff(20525,plain,
% 6.29/4.96 (trans(s254, s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20524, 20521, 57])).
% 6.29/4.96 tff(20526,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s254, s255)) | node14(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s254, s255)) | node14(s254, s255))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20527,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s254, s255)) | node14(s254, s255))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20528,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s254, s255)) | node14(s254, s255)),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20527, 20526])).
% 6.29/4.96 tff(20529,plain,
% 6.29/4.96 (node14(s254, s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20528, 130, 20525])).
% 6.29/4.96 tff(20530,plain,
% 6.29/4.96 (((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))) <=> ((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20531,plain,
% 6.29/4.96 ((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20532,plain,
% 6.29/4.96 ((~![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(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255) | (~node14(s254, s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 6.29/4.96 tff(20533,plain,
% 6.29/4.96 (m_main_v_state2(s254, c_c2) | node9(s254) | node8(s254) | node10(s254) | node11(s254) | node12(s254) | node13(s254, s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20532, 401, 20529])).
% 6.29/4.96 tff(20534,plain,
% 6.29/4.96 (node13(s254, s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20533, 20518, 20475, 20471, 20467, 20463, 20446])).
% 6.29/4.96 tff(20535,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20536,plain,
% 6.29/4.96 (((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2))) <=> (m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20537,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, 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(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255))))),
% 6.29/4.96 inference(monotonicity,[status(thm)],[20536])).
% 6.29/4.96 tff(20538,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, 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(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255)))),
% 6.29/4.96 inference(transitivity,[status(thm)],[20537, 20535])).
% 6.29/4.96 tff(20539,plain,
% 6.29/4.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s254, s255)) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20540,plain,
% 6.29/4.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s254, c_n2) | (~m_main_v_state2(s255, c_n2)) | (~node13(s254, s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 6.29/4.96 tff(20541,plain,
% 6.29/4.96 (~m_main_v_state2(s255, c_n2)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20540, 416, 20459, 20534])).
% 6.29/4.96 tff(20542,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s255, c_n2) | (~node9(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s255, c_n2) | (~node9(s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20543,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s255, c_n2) | (~node9(s255)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20544,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s255, c_n2) | (~node9(s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 6.29/4.96 tff(20545,plain,
% 6.29/4.96 (~node9(s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20544, 311, 20541])).
% 6.29/4.96 tff(20546,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s255, c_n2) | (~node10(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s255, c_n2) | (~node10(s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20547,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s255, c_n2) | (~node10(s255)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20548,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s255, c_n2) | (~node10(s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20547, 20546])).
% 6.29/4.96 tff(20549,plain,
% 6.29/4.96 (~node10(s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20548, 372, 20541])).
% 6.29/4.96 tff(20550,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20551,plain,
% 6.29/4.96 (((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2)) <=> ((~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20552,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, 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(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255))))),
% 6.29/4.96 inference(monotonicity,[status(thm)],[20551])).
% 6.29/4.96 tff(20553,plain,
% 6.29/4.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, 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(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255)))),
% 6.29/4.96 inference(transitivity,[status(thm)],[20552, 20550])).
% 6.29/4.96 tff(20554,plain,
% 6.29/4.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s254, s255)) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20555,plain,
% 6.29/4.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s254, c_t2)) | m_main_v_state2(s255, c_t2) | (~node13(s254, s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 6.29/4.96 tff(20556,plain,
% 6.29/4.96 (m_main_v_state2(s255, c_t2)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20555, 563, 20455, 20534])).
% 6.29/4.96 tff(20557,plain,
% 6.29/4.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20558,plain,
% 6.29/4.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20559,plain,
% 6.29/4.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s254, c_t1)) | (~m_main_v_state1(s254, c_c1))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 6.29/4.96 tff(20560,plain,
% 6.29/4.96 (~m_main_v_state1(s254, c_t1)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20559, 289, 20510])).
% 6.29/4.96 tff(20561,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s254, c_t1) | (~node5(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s254, c_t1) | (~node5(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20562,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s254, c_t1) | (~node5(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20563,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s254, c_t1) | (~node5(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 6.29/4.96 tff(20564,plain,
% 6.29/4.96 (~node5(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20563, 300, 20560])).
% 6.29/4.96 tff(20565,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s254, c_n2) | (~node4(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s254, c_n2) | (~node4(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20566,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s254, c_n2) | (~node4(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20567,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s254, c_n2) | (~node4(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 6.29/4.96 tff(20568,plain,
% 6.29/4.96 (~node4(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20567, 162, 20459])).
% 6.29/4.96 tff(20569,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s254, c_c2) | (~node3(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s254, c_c2) | (~node3(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20570,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s254, c_c2) | (~node3(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20571,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s254, c_c2) | (~node3(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 6.29/4.96 tff(20572,plain,
% 6.29/4.96 (~node3(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20571, 184, 20475])).
% 6.29/4.96 tff(20573,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s254, c_n2) | (~node2(s254)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s254, c_n2) | (~node2(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20574,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s254, c_n2) | (~node2(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20575,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s254, c_n2) | (~node2(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 6.29/4.96 tff(20576,plain,
% 6.29/4.96 (~node2(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20575, 195, 20459])).
% 6.29/4.96 tff(20577,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s254, c_n1) | (~node1(s254)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s254, c_n1) | (~node1(s254)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20578,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s254, c_n1) | (~node1(s254)))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20579,plain,
% 6.29/4.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s254, c_n1) | (~node1(s254))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 6.29/4.96 tff(20580,plain,
% 6.29/4.96 (~node1(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20579, 249, 20514])).
% 6.29/4.96 tff(20581,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s254, s255)) | node7(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s254, s255)) | node7(s254, s255))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20582,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s254, s255)) | node7(s254, s255))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20583,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s254, s255)) | node7(s254, s255)),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20582, 20581])).
% 6.29/4.96 tff(20584,plain,
% 6.29/4.96 (node7(s254, s255)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20583, 217, 20525])).
% 6.29/4.96 tff(20585,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20586,plain,
% 6.29/4.96 (((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1)) <=> (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 6.29/4.96 inference(rewrite,[status(thm)],[])).
% 6.29/4.96 tff(20587,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, 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(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255))))),
% 6.29/4.96 inference(monotonicity,[status(thm)],[20586])).
% 6.29/4.96 tff(20588,plain,
% 6.29/4.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, 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(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)))),
% 6.29/4.96 inference(transitivity,[status(thm)],[20587, 20585])).
% 6.29/4.96 tff(20589,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255)) | m_main_v_state1(s255, c_n1))),
% 6.29/4.96 inference(quant_inst,[status(thm)],[])).
% 6.29/4.96 tff(20590,plain,
% 6.29/4.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254) | (~node7(s254, s255))),
% 6.29/4.96 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 6.29/4.96 tff(20591,plain,
% 6.29/4.96 (m_main_v_state1(s255, c_n1) | (~m_main_v_state1(s254, c_c1)) | node1(s254) | node2(s254) | node3(s254) | node4(s254) | node5(s254)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20590, 478, 20584])).
% 6.29/4.96 tff(20592,plain,
% 6.29/4.96 (m_main_v_state1(s255, c_n1)),
% 6.29/4.96 inference(unit_resolution,[status(thm)],[20591, 20580, 20510, 20576, 20572, 20568, 20564])).
% 6.29/4.96 tff(20593,plain,
% 6.29/4.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s255, c_n2) | (~node8(s255)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s255, c_n2) | (~node8(s255)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20594,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s255, c_n2) | (~node8(s255)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20595,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s255, c_n2) | (~node8(s255))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 6.29/4.97 tff(20596,plain,
% 6.29/4.97 (~node8(s255)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20595, 383, 20541])).
% 6.29/4.97 tff(20597,plain,
% 6.29/4.97 (succ(s255, s256) <=> succ(s255, s256)),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20598,axiom,(succ(s255, s256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound256')).
% 6.29/4.97 tff(20599,plain,
% 6.29/4.97 (succ(s255, s256)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 6.29/4.97 tff(20600,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20601,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20602,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20601, 20600])).
% 6.29/4.97 tff(20603,plain,
% 6.29/4.97 (trans(s255, s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20602, 20599, 57])).
% 6.29/4.97 tff(20604,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s255, s256)) | node14(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s255, s256)) | node14(s255, s256))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20605,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s255, s256)) | node14(s255, s256))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20606,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s255, s256)) | node14(s255, s256)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20605, 20604])).
% 6.29/4.97 tff(20607,plain,
% 6.29/4.97 (node14(s255, s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20606, 130, 20603])).
% 6.29/4.97 tff(20608,plain,
% 6.29/4.97 (((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, 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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20609,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20610,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | (~node14(s255, s256)) | m_main_v_state2(s256, c_c2)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20609, 20608])).
% 6.29/4.97 tff(20611,plain,
% 6.29/4.97 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | node9(s255) | node8(s255) | node10(s255) | m_main_v_state2(s256, c_c2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20610, 704, 20607])).
% 6.29/4.97 tff(20612,plain,
% 6.29/4.97 (m_main_v_state2(s256, c_c2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20611, 20596, 20592, 20556, 20549, 20545])).
% 6.29/4.97 tff(20613,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20614,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20615,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_t2)) | (~m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 6.29/4.97 tff(20616,plain,
% 6.29/4.97 (~m_main_v_state2(s256, c_t2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20615, 173, 20612])).
% 6.29/4.97 tff(20617,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s256, c_t2) | (~node12(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s256, c_t2) | (~node12(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20618,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s256, c_t2) | (~node12(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20619,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s256, c_t2) | (~node12(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20618, 20617])).
% 6.29/4.97 tff(20620,plain,
% 6.29/4.97 (~node12(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20619, 778, 20616])).
% 6.29/4.97 tff(20621,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s255, s256)) | node7(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s255, s256)) | node7(s255, s256))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20622,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s255, s256)) | node7(s255, s256))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20623,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s255, s256)) | node7(s255, s256)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20622, 20621])).
% 6.29/4.97 tff(20624,plain,
% 6.29/4.97 (node7(s255, s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20623, 217, 20603])).
% 6.29/4.97 tff(20625,plain,
% 6.29/4.97 (((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, 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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20626,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20627,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node7(s255, s256)) | m_main_v_state1(s256, c_t1)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20626, 20625])).
% 6.29/4.97 tff(20628,plain,
% 6.29/4.97 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_state1(s256, c_t1)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20627, 598, 20624])).
% 6.29/4.97 tff(20629,plain,
% 6.29/4.97 (m_main_v_state1(s256, c_t1)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20628, 20556, 20592])).
% 6.29/4.97 tff(20630,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20631,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20632,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s256, c_n1)) | (~m_main_v_state1(s256, c_t1))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20631, 20630])).
% 6.29/4.97 tff(20633,plain,
% 6.29/4.97 (~m_main_v_state1(s256, c_n1)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20632, 35, 20629])).
% 6.29/4.97 tff(20634,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s256, c_n1) | (~node11(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s256, c_n1) | (~node11(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20635,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s256, c_n1) | (~node11(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20636,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s256, c_n1) | (~node11(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20635, 20634])).
% 6.29/4.97 tff(20637,plain,
% 6.29/4.97 (~node11(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20636, 361, 20633])).
% 6.29/4.97 tff(20638,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20639,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20640,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s256, c_t1)) | (~m_main_v_state1(s256, c_c1))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20639, 20638])).
% 6.29/4.97 tff(20641,plain,
% 6.29/4.97 (~m_main_v_state1(s256, c_c1)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20640, 289, 20629])).
% 6.29/4.97 tff(20642,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s256, c_c1) | (~node10(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s256, c_c1) | (~node10(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20643,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s256, c_c1) | (~node10(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20644,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s256, c_c1) | (~node10(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20643, 20642])).
% 6.29/4.97 tff(20645,plain,
% 6.29/4.97 (~node10(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20644, 793, 20641])).
% 6.29/4.97 tff(20646,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s256, c_n1) | (~node9(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s256, c_n1) | (~node9(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20647,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s256, c_n1) | (~node9(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20648,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s256, c_n1) | (~node9(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20647, 20646])).
% 6.29/4.97 tff(20649,plain,
% 6.29/4.97 (~node9(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20648, 804, 20633])).
% 6.29/4.97 tff(20650,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20651,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20652,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s256, c_n2)) | (~m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20651, 20650])).
% 6.29/4.97 tff(20653,plain,
% 6.29/4.97 (~m_main_v_state2(s256, c_n2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20652, 716, 20612])).
% 6.29/4.97 tff(20654,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s256, c_n2) | (~node8(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s256, c_n2) | (~node8(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20655,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s256, c_n2) | (~node8(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20656,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s256, c_n2) | (~node8(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 6.29/4.97 tff(20657,plain,
% 6.29/4.97 (~node8(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20656, 383, 20653])).
% 6.29/4.97 tff(20658,plain,
% 6.29/4.97 (succ(s256, s257) <=> succ(s256, s257)),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20659,axiom,(succ(s256, s257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound257')).
% 6.29/4.97 tff(20660,plain,
% 6.29/4.97 (succ(s256, s257)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20659, 20658])).
% 6.29/4.97 tff(20661,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20662,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20663,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 6.29/4.97 tff(20664,plain,
% 6.29/4.97 (trans(s256, s257)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20663, 20660, 57])).
% 6.29/4.97 tff(20665,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s256, s257)) | node14(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s256, s257)) | node14(s256, s257))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20666,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s256, s257)) | node14(s256, s257))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20667,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s256, s257)) | node14(s256, s257)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 6.29/4.97 tff(20668,plain,
% 6.29/4.97 (node14(s256, s257)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20667, 130, 20664])).
% 6.29/4.97 tff(20669,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, 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(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20670,plain,
% 6.29/4.97 (((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2)) <=> (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20671,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, 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(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2))))),
% 6.29/4.97 inference(monotonicity,[status(thm)],[20670])).
% 6.29/4.97 tff(20672,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, 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(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2)))),
% 6.29/4.97 inference(transitivity,[status(thm)],[20671, 20669])).
% 6.29/4.97 tff(20673,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s256, c_c2)) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | m_main_v_state2(s257, c_n2))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20674,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~node14(s256, s257)) | (~m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 6.29/4.97 tff(20675,plain,
% 6.29/4.97 (m_main_v_state2(s257, c_n2) | node9(s256) | node8(s256) | node10(s256) | node11(s256) | node12(s256) | (~m_main_v_state2(s256, c_c2))),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20674, 826, 20668])).
% 6.29/4.97 tff(20676,plain,
% 6.29/4.97 (m_main_v_state2(s257, c_n2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20675, 20657, 20612, 20649, 20645, 20637, 20620])).
% 6.29/4.97 tff(20677,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20678,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20679,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_c2))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 6.29/4.97 tff(20680,plain,
% 6.29/4.97 (~m_main_v_state2(s257, c_c2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20679, 716, 20676])).
% 6.29/4.97 tff(20681,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s257, c_c2) | (~node3(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s257, c_c2) | (~node3(s257)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20682,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s257, c_c2) | (~node3(s257)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20683,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s257, c_c2) | (~node3(s257))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 6.29/4.97 tff(20684,plain,
% 6.29/4.97 (~node3(s257)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20683, 184, 20680])).
% 6.29/4.97 tff(20685,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s256, c_n1) | (~node1(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s256, c_n1) | (~node1(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20686,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s256, c_n1) | (~node1(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20687,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s256, c_n1) | (~node1(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 6.29/4.97 tff(20688,plain,
% 6.29/4.97 (~node1(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20687, 249, 20633])).
% 6.29/4.97 tff(20689,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s255, s256)) | node18(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s255, s256)) | node18(s255, s256))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20690,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s255, s256)) | node18(s255, s256))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20691,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s255, s256)) | node18(s255, s256)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20690, 20689])).
% 6.29/4.97 tff(20692,plain,
% 6.29/4.97 (node18(s255, s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20691, 71, 20603])).
% 6.29/4.97 tff(20693,plain,
% 6.29/4.97 (((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, 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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20694,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20695,plain,
% 6.29/4.97 ((~![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(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | (~node18(s255, s256)) | m_main_v_turn(s256, c_2)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 6.29/4.97 tff(20696,plain,
% 6.29/4.97 ((~m_main_v_state1(s255, c_n1)) | (~m_main_v_state2(s255, c_t2)) | m_main_v_turn(s256, c_2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20695, 625, 20692])).
% 6.29/4.97 tff(20697,plain,
% 6.29/4.97 (m_main_v_turn(s256, c_2)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20696, 20556, 20592])).
% 6.29/4.97 tff(20698,plain,
% 6.29/4.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20699,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20700,plain,
% 6.29/4.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s256, c_1)) | (~m_main_v_turn(s256, c_2))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 6.29/4.97 tff(20701,plain,
% 6.29/4.97 (~m_main_v_turn(s256, c_1)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20700, 322, 20697])).
% 6.29/4.97 tff(20702,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s256, c_1) | (~node5(s256)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s256, c_1) | (~node5(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20703,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s256, c_1) | (~node5(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20704,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s256, c_1) | (~node5(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20703, 20702])).
% 6.29/4.97 tff(20705,plain,
% 6.29/4.97 (~node5(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20704, 641, 20701])).
% 6.29/4.97 tff(20706,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s256, c_n1) | (~node2(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s256, c_n1) | (~node2(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20707,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s256, c_n1) | (~node2(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20708,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s256, c_n1) | (~node2(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 6.29/4.97 tff(20709,plain,
% 6.29/4.97 (~node2(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20708, 652, 20633])).
% 6.29/4.97 tff(20710,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s256, c_n1) | (~node3(s256)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s256, c_n1) | (~node3(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20711,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s256, c_n1) | (~node3(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20712,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s256, c_n1) | (~node3(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20711, 20710])).
% 6.29/4.97 tff(20713,plain,
% 6.29/4.97 (~node3(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20712, 663, 20633])).
% 6.29/4.97 tff(20714,plain,
% 6.29/4.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s256, c_n2) | (~node4(s256)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s256, c_n2) | (~node4(s256)))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20715,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s256, c_n2) | (~node4(s256)))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20716,plain,
% 6.29/4.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s256, c_n2) | (~node4(s256))),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20715, 20714])).
% 6.29/4.97 tff(20717,plain,
% 6.29/4.97 (~node4(s256)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20716, 162, 20653])).
% 6.29/4.97 tff(20718,plain,
% 6.29/4.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s256, s257)) | node7(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s256, s257)) | node7(s256, s257))),
% 6.29/4.97 inference(rewrite,[status(thm)],[])).
% 6.29/4.97 tff(20719,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s256, s257)) | node7(s256, s257))),
% 6.29/4.97 inference(quant_inst,[status(thm)],[])).
% 6.29/4.97 tff(20720,plain,
% 6.29/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s256, s257)) | node7(s256, s257)),
% 6.29/4.97 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 6.29/4.97 tff(20721,plain,
% 6.29/4.97 (node7(s256, s257)),
% 6.29/4.97 inference(unit_resolution,[status(thm)],[20720, 217, 20664])).
% 6.29/4.97 tff(20722,plain,
% 6.29/4.97 (((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))) <=> ((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20723,plain,
% 6.29/4.98 ((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20724,plain,
% 6.29/4.98 ((~![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(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257) | (~node7(s256, s257))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 6.29/4.98 tff(20725,plain,
% 6.29/4.98 (m_main_v_state1(s256, c_c1) | node1(s256) | node2(s256) | node3(s256) | node4(s256) | node5(s256) | node6(s256, s257)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20724, 745, 20721])).
% 6.29/4.98 tff(20726,plain,
% 6.29/4.98 (node6(s256, s257)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20725, 20717, 20641, 20713, 20709, 20705, 20688])).
% 6.29/4.98 tff(20727,plain,
% 6.29/4.98 (((~![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(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20728,plain,
% 6.29/4.98 (((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1))) <=> (m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20729,plain,
% 6.29/4.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, 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(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257))))),
% 6.29/4.98 inference(monotonicity,[status(thm)],[20728])).
% 6.29/4.98 tff(20730,plain,
% 6.29/4.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, 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(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257)))),
% 6.29/4.98 inference(transitivity,[status(thm)],[20729, 20727])).
% 6.29/4.98 tff(20731,plain,
% 6.29/4.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s256, s257)) | m_main_v_state1(s256, c_n1) | (~m_main_v_state1(s257, c_n1)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20732,plain,
% 6.29/4.98 ((~![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(s256, c_n1) | (~m_main_v_state1(s257, c_n1)) | (~node6(s256, s257))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 6.29/4.98 tff(20733,plain,
% 6.29/4.98 (~m_main_v_state1(s257, c_n1)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20732, 936, 20633, 20726])).
% 6.29/4.98 tff(20734,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s257, c_n1) | (~node2(s257)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s257, c_n1) | (~node2(s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20735,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s257, c_n1) | (~node2(s257)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20736,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s257, c_n1) | (~node2(s257))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 6.29/4.98 tff(20737,plain,
% 6.29/4.98 (~node2(s257)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20736, 652, 20733])).
% 6.29/4.98 tff(20738,plain,
% 6.29/4.98 (((~![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(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20739,plain,
% 6.29/4.98 (((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1)) <=> ((~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20740,plain,
% 6.29/4.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, 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(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257))))),
% 6.29/4.98 inference(monotonicity,[status(thm)],[20739])).
% 6.29/4.98 tff(20741,plain,
% 6.29/4.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, 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(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257)))),
% 6.29/4.98 inference(transitivity,[status(thm)],[20740, 20738])).
% 6.29/4.98 tff(20742,plain,
% 6.29/4.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s256, s257)) | (~m_main_v_state1(s256, c_t1)) | m_main_v_state1(s257, c_t1))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20743,plain,
% 6.29/4.98 ((~![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(s256, c_t1)) | m_main_v_state1(s257, c_t1) | (~node6(s256, s257))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20742, 20741])).
% 6.29/4.98 tff(20744,plain,
% 6.29/4.98 (m_main_v_state1(s257, c_t1)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20743, 760, 20629, 20726])).
% 6.29/4.98 tff(20745,plain,
% 6.29/4.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20746,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20747,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s257, c_n2)) | (~m_main_v_state2(s257, c_t2))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20746, 20745])).
% 6.29/4.98 tff(20748,plain,
% 6.29/4.98 (~m_main_v_state2(s257, c_t2)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20747, 10, 20676])).
% 6.29/4.98 tff(20749,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s257, c_t2) | (~node1(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s257, c_t2) | (~node1(s257)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20750,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s257, c_t2) | (~node1(s257)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20751,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s257, c_t2) | (~node1(s257))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20750, 20749])).
% 6.29/4.98 tff(20752,plain,
% 6.29/4.98 (~node1(s257)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20751, 206, 20748])).
% 6.29/4.98 tff(20753,plain,
% 6.29/4.98 (succ(s257, s258) <=> succ(s257, s258)),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20754,axiom,(succ(s257, s258)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound258')).
% 6.29/4.98 tff(20755,plain,
% 6.29/4.98 (succ(s257, s258)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 6.29/4.98 tff(20756,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20757,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20758,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 6.29/4.98 tff(20759,plain,
% 6.29/4.98 (trans(s257, s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20758, 20755, 57])).
% 6.29/4.98 tff(20760,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s257, s258)) | node7(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s257, s258)) | node7(s257, s258))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20761,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s257, s258)) | node7(s257, s258))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20762,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s257, s258)) | node7(s257, s258)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20761, 20760])).
% 6.29/4.98 tff(20763,plain,
% 6.29/4.98 (node7(s257, s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20762, 217, 20759])).
% 6.29/4.98 tff(20764,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20765,plain,
% 6.29/4.98 (((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1)) <=> ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20766,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, 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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258))))),
% 6.29/4.98 inference(monotonicity,[status(thm)],[20765])).
% 6.29/4.98 tff(20767,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, 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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)))),
% 6.29/4.98 inference(transitivity,[status(thm)],[20766, 20764])).
% 6.29/4.98 tff(20768,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258)) | m_main_v_state1(s258, c_c1))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20769,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257) | (~node7(s257, s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20768, 20767])).
% 6.29/4.98 tff(20770,plain,
% 6.29/4.98 ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state1(s258, c_c1) | node1(s257) | node2(s257) | node3(s257)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20769, 965, 20763])).
% 6.29/4.98 tff(20771,plain,
% 6.29/4.98 (m_main_v_state1(s258, c_c1)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20770, 20752, 20676, 20744, 20737, 20684])).
% 6.29/4.98 tff(20772,plain,
% 6.29/4.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20773,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20774,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_t1)) | (~m_main_v_state1(s258, c_c1))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 6.29/4.98 tff(20775,plain,
% 6.29/4.98 (~m_main_v_state1(s258, c_t1)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20774, 289, 20771])).
% 6.29/4.98 tff(20776,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s258, c_t1) | (~node5(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s258, c_t1) | (~node5(s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20777,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s258, c_t1) | (~node5(s258)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20778,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s258, c_t1) | (~node5(s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20777, 20776])).
% 6.29/4.98 tff(20779,plain,
% 6.29/4.98 (~node5(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20778, 300, 20775])).
% 6.29/4.98 tff(20780,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s257, s258)) | node14(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s257, s258)) | node14(s257, s258))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20781,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s257, s258)) | node14(s257, s258))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20782,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s257, s258)) | node14(s257, s258)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 6.29/4.98 tff(20783,plain,
% 6.29/4.98 (node14(s257, s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20782, 130, 20759])).
% 6.29/4.98 tff(20784,plain,
% 6.29/4.98 (((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, 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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20785,plain,
% 6.29/4.98 ((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20786,plain,
% 6.29/4.98 ((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | (~node14(s257, s258)) | m_main_v_state2(s258, c_t2)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 6.29/4.98 tff(20787,plain,
% 6.29/4.98 ((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_state2(s258, c_t2)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20786, 893, 20783])).
% 6.29/4.98 tff(20788,plain,
% 6.29/4.98 (m_main_v_state2(s258, c_t2)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20787, 20744, 20676])).
% 6.29/4.98 tff(20789,plain,
% 6.29/4.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20790,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20791,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s258, c_n2)) | (~m_main_v_state2(s258, c_t2))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20790, 20789])).
% 6.29/4.98 tff(20792,plain,
% 6.29/4.98 (~m_main_v_state2(s258, c_n2)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20791, 10, 20788])).
% 6.29/4.98 tff(20793,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s258, c_n2) | (~node4(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s258, c_n2) | (~node4(s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20794,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s258, c_n2) | (~node4(s258)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20795,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s258, c_n2) | (~node4(s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20794, 20793])).
% 6.29/4.98 tff(20796,plain,
% 6.29/4.98 (~node4(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20795, 162, 20792])).
% 6.29/4.98 tff(20797,plain,
% 6.29/4.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20798,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20799,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s258, c_t2)) | (~m_main_v_state2(s258, c_c2))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20798, 20797])).
% 6.29/4.98 tff(20800,plain,
% 6.29/4.98 (~m_main_v_state2(s258, c_c2)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20799, 173, 20788])).
% 6.29/4.98 tff(20801,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s258, c_c2) | (~node3(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s258, c_c2) | (~node3(s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20802,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s258, c_c2) | (~node3(s258)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20803,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s258, c_c2) | (~node3(s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20802, 20801])).
% 6.29/4.98 tff(20804,plain,
% 6.29/4.98 (~node3(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20803, 184, 20800])).
% 6.29/4.98 tff(20805,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s258, c_n2) | (~node2(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s258, c_n2) | (~node2(s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20806,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s258, c_n2) | (~node2(s258)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20807,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s258, c_n2) | (~node2(s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20806, 20805])).
% 6.29/4.98 tff(20808,plain,
% 6.29/4.98 (~node2(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20807, 195, 20792])).
% 6.29/4.98 tff(20809,plain,
% 6.29/4.98 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20810,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20811,plain,
% 6.29/4.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s258, c_n1)) | (~m_main_v_state1(s258, c_c1))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 6.29/4.98 tff(20812,plain,
% 6.29/4.98 (~m_main_v_state1(s258, c_n1)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20811, 449, 20771])).
% 6.29/4.98 tff(20813,plain,
% 6.29/4.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s258, c_n1) | (~node1(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s258, c_n1) | (~node1(s258)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20814,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s258, c_n1) | (~node1(s258)))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20815,plain,
% 6.29/4.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s258, c_n1) | (~node1(s258))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 6.29/4.98 tff(20816,plain,
% 6.29/4.98 (~node1(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20815, 249, 20812])).
% 6.29/4.98 tff(20817,plain,
% 6.29/4.98 (succ(s258, s259) <=> succ(s258, s259)),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20818,axiom,(succ(s258, s259)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound259')).
% 6.29/4.98 tff(20819,plain,
% 6.29/4.98 (succ(s258, s259)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20818, 20817])).
% 6.29/4.98 tff(20820,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20821,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20822,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20821, 20820])).
% 6.29/4.98 tff(20823,plain,
% 6.29/4.98 (trans(s258, s259)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20822, 20819, 57])).
% 6.29/4.98 tff(20824,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s258, s259)) | node7(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s258, s259)) | node7(s258, s259))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20825,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s258, s259)) | node7(s258, s259))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20826,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s258, s259)) | node7(s258, s259)),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20825, 20824])).
% 6.29/4.98 tff(20827,plain,
% 6.29/4.98 (node7(s258, s259)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20826, 217, 20823])).
% 6.29/4.98 tff(20828,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20829,plain,
% 6.29/4.98 (((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1)) <=> (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 6.29/4.98 inference(rewrite,[status(thm)],[])).
% 6.29/4.98 tff(20830,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, 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(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259))))),
% 6.29/4.98 inference(monotonicity,[status(thm)],[20829])).
% 6.29/4.98 tff(20831,plain,
% 6.29/4.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, 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(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)))),
% 6.29/4.98 inference(transitivity,[status(thm)],[20830, 20828])).
% 6.29/4.98 tff(20832,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259)) | m_main_v_state1(s259, c_n1))),
% 6.29/4.98 inference(quant_inst,[status(thm)],[])).
% 6.29/4.98 tff(20833,plain,
% 6.29/4.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258) | (~node7(s258, s259))),
% 6.29/4.98 inference(modus_ponens,[status(thm)],[20832, 20831])).
% 6.29/4.98 tff(20834,plain,
% 6.29/4.98 (m_main_v_state1(s259, c_n1) | (~m_main_v_state1(s258, c_c1)) | node1(s258) | node2(s258) | node3(s258) | node4(s258) | node5(s258)),
% 6.29/4.98 inference(unit_resolution,[status(thm)],[20833, 478, 20827])).
% 6.29/4.99 tff(20835,plain,
% 6.29/4.99 (m_main_v_state1(s259, c_n1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20834, 20816, 20771, 20808, 20804, 20796, 20779])).
% 6.29/4.99 tff(20836,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s257, c_t2) | (~node15(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s257, c_t2) | (~node15(s257)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20837,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s257, c_t2) | (~node15(s257)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20838,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s257, c_t2) | (~node15(s257))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20837, 20836])).
% 6.29/4.99 tff(20839,plain,
% 6.29/4.99 (~node15(s257)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20838, 21, 20748])).
% 6.29/4.99 tff(20840,plain,
% 6.29/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s257, s258)) | node18(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s257, s258)) | node18(s257, s258))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20841,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s257, s258)) | node18(s257, s258))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20842,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s257, s258)) | node18(s257, s258)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 6.29/4.99 tff(20843,plain,
% 6.29/4.99 (node18(s257, s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20842, 71, 20759])).
% 6.29/4.99 tff(20844,plain,
% 6.29/4.99 (((~![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(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, 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(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20845,plain,
% 6.29/4.99 (((~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1)) <=> (node15(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20846,plain,
% 6.29/4.99 (((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, 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(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)))),
% 6.29/4.99 inference(monotonicity,[status(thm)],[20845])).
% 6.29/4.99 tff(20847,plain,
% 6.29/4.99 (((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, 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(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1))),
% 6.29/4.99 inference(transitivity,[status(thm)],[20846, 20844])).
% 6.29/4.99 tff(20848,plain,
% 6.29/4.99 ((~![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(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | node15(s257) | (~node18(s257, s258)) | m_main_v_turn(s258, c_1))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20849,plain,
% 6.29/4.99 ((~![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(s257) | (~node18(s257, s258)) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 6.29/4.99 tff(20850,plain,
% 6.29/4.99 (node15(s257) | (~m_main_v_state1(s257, c_t1)) | (~m_main_v_state2(s257, c_n2)) | m_main_v_turn(s258, c_1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20849, 863, 20843])).
% 6.29/4.99 tff(20851,plain,
% 6.29/4.99 (m_main_v_turn(s258, c_1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20850, 20839, 20676, 20744])).
% 6.29/4.99 tff(20852,plain,
% 6.29/4.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20853,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20854,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s258, c_1)) | (~m_main_v_turn(s258, c_2))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 6.29/4.99 tff(20855,plain,
% 6.29/4.99 (~m_main_v_turn(s258, c_2)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20854, 322, 20851])).
% 6.29/4.99 tff(20856,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s258, c_2) | (~node12(s258)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s258, c_2) | (~node12(s258)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20857,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s258, c_2) | (~node12(s258)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20858,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s258, c_2) | (~node12(s258))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20857, 20856])).
% 6.29/4.99 tff(20859,plain,
% 6.29/4.99 (~node12(s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20858, 350, 20855])).
% 6.29/4.99 tff(20860,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s258, c_n2) | (~node8(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s258, c_n2) | (~node8(s258)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20861,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s258, c_n2) | (~node8(s258)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20862,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s258, c_n2) | (~node8(s258))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 6.29/4.99 tff(20863,plain,
% 6.29/4.99 (~node8(s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20862, 383, 20792])).
% 6.29/4.99 tff(20864,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s258, c_n2) | (~node9(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s258, c_n2) | (~node9(s258)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20865,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s258, c_n2) | (~node9(s258)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20866,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s258, c_n2) | (~node9(s258))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 6.29/4.99 tff(20867,plain,
% 6.29/4.99 (~node9(s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20866, 311, 20792])).
% 6.29/4.99 tff(20868,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s258, c_n2) | (~node10(s258)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s258, c_n2) | (~node10(s258)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20869,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s258, c_n2) | (~node10(s258)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20870,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s258, c_n2) | (~node10(s258))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20869, 20868])).
% 6.29/4.99 tff(20871,plain,
% 6.29/4.99 (~node10(s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20870, 372, 20792])).
% 6.29/4.99 tff(20872,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s258, c_n1) | (~node11(s258)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s258, c_n1) | (~node11(s258)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20873,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s258, c_n1) | (~node11(s258)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20874,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s258, c_n1) | (~node11(s258))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20873, 20872])).
% 6.29/4.99 tff(20875,plain,
% 6.29/4.99 (~node11(s258)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20874, 361, 20812])).
% 6.29/4.99 tff(20876,plain,
% 6.29/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s258, s259)) | node14(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s258, s259)) | node14(s258, s259))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20877,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s258, s259)) | node14(s258, s259))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20878,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s258, s259)) | node14(s258, s259)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 6.29/4.99 tff(20879,plain,
% 6.29/4.99 (node14(s258, s259)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20878, 130, 20823])).
% 6.29/4.99 tff(20880,plain,
% 6.29/4.99 (((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))) <=> ((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20881,plain,
% 6.29/4.99 ((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20882,plain,
% 6.29/4.99 ((~![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(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259) | (~node14(s258, s259))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 6.29/4.99 tff(20883,plain,
% 6.29/4.99 (m_main_v_state2(s258, c_c2) | node9(s258) | node8(s258) | node10(s258) | node11(s258) | node12(s258) | node13(s258, s259)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20882, 401, 20879])).
% 6.29/4.99 tff(20884,plain,
% 6.29/4.99 (node13(s258, s259)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20883, 20875, 20800, 20871, 20867, 20863, 20859])).
% 6.29/4.99 tff(20885,plain,
% 6.29/4.99 (((~![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(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20886,plain,
% 6.29/4.99 (((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2)) <=> ((~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20887,plain,
% 6.29/4.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, 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(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259))))),
% 6.29/4.99 inference(monotonicity,[status(thm)],[20886])).
% 6.29/4.99 tff(20888,plain,
% 6.29/4.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, 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(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259)))),
% 6.29/4.99 inference(transitivity,[status(thm)],[20887, 20885])).
% 6.29/4.99 tff(20889,plain,
% 6.29/4.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s258, s259)) | (~m_main_v_state2(s258, c_t2)) | m_main_v_state2(s259, c_t2))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20890,plain,
% 6.29/4.99 ((~![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(s258, c_t2)) | m_main_v_state2(s259, c_t2) | (~node13(s258, s259))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 6.29/4.99 tff(20891,plain,
% 6.29/4.99 (m_main_v_state2(s259, c_t2)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20890, 563, 20788, 20884])).
% 6.29/4.99 tff(20892,plain,
% 6.29/4.99 (succ(s259, s260) <=> succ(s259, s260)),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20893,axiom,(succ(s259, s260)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound260')).
% 6.29/4.99 tff(20894,plain,
% 6.29/4.99 (succ(s259, s260)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20893, 20892])).
% 6.29/4.99 tff(20895,plain,
% 6.29/4.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20896,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20897,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 6.29/4.99 tff(20898,plain,
% 6.29/4.99 (trans(s259, s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20897, 20894, 57])).
% 6.29/4.99 tff(20899,plain,
% 6.29/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s259, s260)) | node7(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s259, s260)) | node7(s259, s260))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20900,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s259, s260)) | node7(s259, s260))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20901,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s259, s260)) | node7(s259, s260)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20900, 20899])).
% 6.29/4.99 tff(20902,plain,
% 6.29/4.99 (node7(s259, s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20901, 217, 20898])).
% 6.29/4.99 tff(20903,plain,
% 6.29/4.99 (((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, 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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20904,plain,
% 6.29/4.99 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20905,plain,
% 6.29/4.99 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node7(s259, s260)) | m_main_v_state1(s260, c_t1)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 6.29/4.99 tff(20906,plain,
% 6.29/4.99 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_state1(s260, c_t1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20905, 598, 20902])).
% 6.29/4.99 tff(20907,plain,
% 6.29/4.99 (m_main_v_state1(s260, c_t1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20906, 20891, 20835])).
% 6.29/4.99 tff(20908,plain,
% 6.29/4.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20909,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20910,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s260, c_n1)) | (~m_main_v_state1(s260, c_t1))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 6.29/4.99 tff(20911,plain,
% 6.29/4.99 (~m_main_v_state1(s260, c_n1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20910, 35, 20907])).
% 6.29/4.99 tff(20912,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s260, c_n1) | (~node1(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s260, c_n1) | (~node1(s260)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20913,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s260, c_n1) | (~node1(s260)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20914,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s260, c_n1) | (~node1(s260))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 6.29/4.99 tff(20915,plain,
% 6.29/4.99 (~node1(s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20914, 249, 20911])).
% 6.29/4.99 tff(20916,plain,
% 6.29/4.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s259, s260)) | node18(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s259, s260)) | node18(s259, s260))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20917,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s259, s260)) | node18(s259, s260))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20918,plain,
% 6.29/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s259, s260)) | node18(s259, s260)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 6.29/4.99 tff(20919,plain,
% 6.29/4.99 (node18(s259, s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20918, 71, 20898])).
% 6.29/4.99 tff(20920,plain,
% 6.29/4.99 (((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, 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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20921,plain,
% 6.29/4.99 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20922,plain,
% 6.29/4.99 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | (~node18(s259, s260)) | m_main_v_turn(s260, c_2)),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20921, 20920])).
% 6.29/4.99 tff(20923,plain,
% 6.29/4.99 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | m_main_v_turn(s260, c_2)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20922, 625, 20919])).
% 6.29/4.99 tff(20924,plain,
% 6.29/4.99 (m_main_v_turn(s260, c_2)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20923, 20891, 20835])).
% 6.29/4.99 tff(20925,plain,
% 6.29/4.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20926,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20927,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s260, c_1)) | (~m_main_v_turn(s260, c_2))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 6.29/4.99 tff(20928,plain,
% 6.29/4.99 (~m_main_v_turn(s260, c_1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20927, 322, 20924])).
% 6.29/4.99 tff(20929,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s260, c_1) | (~node5(s260)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s260, c_1) | (~node5(s260)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20930,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s260, c_1) | (~node5(s260)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20931,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s260, c_1) | (~node5(s260))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 6.29/4.99 tff(20932,plain,
% 6.29/4.99 (~node5(s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20931, 641, 20928])).
% 6.29/4.99 tff(20933,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s260, c_n1) | (~node2(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s260, c_n1) | (~node2(s260)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20934,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s260, c_n1) | (~node2(s260)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20935,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s260, c_n1) | (~node2(s260))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 6.29/4.99 tff(20936,plain,
% 6.29/4.99 (~node2(s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20935, 652, 20911])).
% 6.29/4.99 tff(20937,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s260, c_n1) | (~node3(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s260, c_n1) | (~node3(s260)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20938,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s260, c_n1) | (~node3(s260)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20939,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s260, c_n1) | (~node3(s260))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20938, 20937])).
% 6.29/4.99 tff(20940,plain,
% 6.29/4.99 (~node3(s260)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20939, 663, 20911])).
% 6.29/4.99 tff(20941,plain,
% 6.29/4.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20942,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20943,plain,
% 6.29/4.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s260, c_t1)) | (~m_main_v_state1(s260, c_c1))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20942, 20941])).
% 6.29/4.99 tff(20944,plain,
% 6.29/4.99 (~m_main_v_state1(s260, c_c1)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20943, 289, 20907])).
% 6.29/4.99 tff(20945,plain,
% 6.29/4.99 (((~![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(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20946,plain,
% 6.29/4.99 (((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2))) <=> (m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20947,plain,
% 6.29/4.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, 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(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259))))),
% 6.29/4.99 inference(monotonicity,[status(thm)],[20946])).
% 6.29/4.99 tff(20948,plain,
% 6.29/4.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, 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(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259)))),
% 6.29/4.99 inference(transitivity,[status(thm)],[20947, 20945])).
% 6.29/4.99 tff(20949,plain,
% 6.29/4.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s258, s259)) | m_main_v_state2(s258, c_n2) | (~m_main_v_state2(s259, c_n2)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20950,plain,
% 6.29/4.99 ((~![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(s258, c_n2) | (~m_main_v_state2(s259, c_n2)) | (~node13(s258, s259))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 6.29/4.99 tff(20951,plain,
% 6.29/4.99 (~m_main_v_state2(s259, c_n2)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20950, 416, 20792, 20884])).
% 6.29/4.99 tff(20952,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s259, c_n2) | (~node9(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s259, c_n2) | (~node9(s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20953,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s259, c_n2) | (~node9(s259)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20954,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s259, c_n2) | (~node9(s259))),
% 6.29/4.99 inference(modus_ponens,[status(thm)],[20953, 20952])).
% 6.29/4.99 tff(20955,plain,
% 6.29/4.99 (~node9(s259)),
% 6.29/4.99 inference(unit_resolution,[status(thm)],[20954, 311, 20951])).
% 6.29/4.99 tff(20956,plain,
% 6.29/4.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s259, c_n2) | (~node10(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s259, c_n2) | (~node10(s259)))),
% 6.29/4.99 inference(rewrite,[status(thm)],[])).
% 6.29/4.99 tff(20957,plain,
% 6.29/4.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s259, c_n2) | (~node10(s259)))),
% 6.29/4.99 inference(quant_inst,[status(thm)],[])).
% 6.29/4.99 tff(20958,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s259, c_n2) | (~node10(s259))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 6.29/5.00 tff(20959,plain,
% 6.29/5.00 (~node10(s259)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20958, 372, 20951])).
% 6.29/5.00 tff(20960,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s259, c_n2) | (~node8(s259)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s259, c_n2) | (~node8(s259)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20961,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s259, c_n2) | (~node8(s259)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20962,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s259, c_n2) | (~node8(s259))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 6.29/5.00 tff(20963,plain,
% 6.29/5.00 (~node8(s259)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20962, 383, 20951])).
% 6.29/5.00 tff(20964,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s259, s260)) | node14(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s259, s260)) | node14(s259, s260))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20965,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s259, s260)) | node14(s259, s260))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20966,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s259, s260)) | node14(s259, s260)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20965, 20964])).
% 6.29/5.00 tff(20967,plain,
% 6.29/5.00 (node14(s259, s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20966, 130, 20898])).
% 6.29/5.00 tff(20968,plain,
% 6.29/5.00 (((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, 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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20969,plain,
% 6.29/5.00 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20970,plain,
% 6.29/5.00 ((~![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(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | (~node14(s259, s260)) | m_main_v_state2(s260, c_c2)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 6.29/5.00 tff(20971,plain,
% 6.29/5.00 ((~m_main_v_state1(s259, c_n1)) | (~m_main_v_state2(s259, c_t2)) | node9(s259) | node8(s259) | node10(s259) | m_main_v_state2(s260, c_c2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20970, 704, 20967])).
% 6.29/5.00 tff(20972,plain,
% 6.29/5.00 (m_main_v_state2(s260, c_c2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20971, 20963, 20835, 20891, 20959, 20955])).
% 6.29/5.00 tff(20973,plain,
% 6.29/5.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20974,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20975,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_n2)) | (~m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 6.29/5.00 tff(20976,plain,
% 6.29/5.00 (~m_main_v_state2(s260, c_n2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20975, 716, 20972])).
% 6.29/5.00 tff(20977,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s260, c_n2) | (~node4(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s260, c_n2) | (~node4(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20978,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s260, c_n2) | (~node4(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20979,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s260, c_n2) | (~node4(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 6.29/5.00 tff(20980,plain,
% 6.29/5.00 (~node4(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20979, 162, 20976])).
% 6.29/5.00 tff(20981,plain,
% 6.29/5.00 (succ(s260, s261) <=> succ(s260, s261)),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20982,axiom,(succ(s260, s261)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound261')).
% 6.29/5.00 tff(20983,plain,
% 6.29/5.00 (succ(s260, s261)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 6.29/5.00 tff(20984,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20985,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20986,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 6.29/5.00 tff(20987,plain,
% 6.29/5.00 (trans(s260, s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20986, 20983, 57])).
% 6.29/5.00 tff(20988,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s260, s261)) | node7(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s260, s261)) | node7(s260, s261))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20989,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s260, s261)) | node7(s260, s261))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20990,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s260, s261)) | node7(s260, s261)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 6.29/5.00 tff(20991,plain,
% 6.29/5.00 (node7(s260, s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20990, 217, 20987])).
% 6.29/5.00 tff(20992,plain,
% 6.29/5.00 (((~![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(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))) <=> ((~![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(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20993,plain,
% 6.29/5.00 ((~![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(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(20994,plain,
% 6.29/5.00 ((~![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(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261) | (~node7(s260, s261))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[20993, 20992])).
% 6.29/5.00 tff(20995,plain,
% 6.29/5.00 (m_main_v_state1(s260, c_c1) | node1(s260) | node2(s260) | node3(s260) | node4(s260) | node5(s260) | node6(s260, s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20994, 745, 20991])).
% 6.29/5.00 tff(20996,plain,
% 6.29/5.00 (node6(s260, s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[20995, 20980, 20944, 20940, 20936, 20932, 20915])).
% 6.29/5.00 tff(20997,plain,
% 6.29/5.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20998,plain,
% 6.29/5.00 (((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1)) <=> ((~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(20999,plain,
% 6.29/5.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, 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(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261))))),
% 6.29/5.00 inference(monotonicity,[status(thm)],[20998])).
% 6.29/5.00 tff(21000,plain,
% 6.29/5.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, 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(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261)))),
% 6.29/5.00 inference(transitivity,[status(thm)],[20999, 20997])).
% 6.29/5.00 tff(21001,plain,
% 6.29/5.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s260, s261)) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21002,plain,
% 6.29/5.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s260, c_t1)) | m_main_v_state1(s261, c_t1) | (~node6(s260, s261))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21001, 21000])).
% 6.29/5.00 tff(21003,plain,
% 6.29/5.00 (m_main_v_state1(s261, c_t1)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21002, 760, 20907, 20996])).
% 6.29/5.00 tff(21004,plain,
% 6.29/5.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21005,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21006,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s260, c_t2)) | (~m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21005, 21004])).
% 6.29/5.00 tff(21007,plain,
% 6.29/5.00 (~m_main_v_state2(s260, c_t2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21006, 173, 20972])).
% 6.29/5.00 tff(21008,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s260, c_t2) | (~node12(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s260, c_t2) | (~node12(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21009,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s260, c_t2) | (~node12(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21010,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s260, c_t2) | (~node12(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 6.29/5.00 tff(21011,plain,
% 6.29/5.00 (~node12(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21010, 778, 21007])).
% 6.29/5.00 tff(21012,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s260, c_n1) | (~node11(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s260, c_n1) | (~node11(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21013,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s260, c_n1) | (~node11(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21014,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s260, c_n1) | (~node11(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21013, 21012])).
% 6.29/5.00 tff(21015,plain,
% 6.29/5.00 (~node11(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21014, 361, 20911])).
% 6.29/5.00 tff(21016,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s260, c_c1) | (~node10(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s260, c_c1) | (~node10(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21017,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s260, c_c1) | (~node10(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21018,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s260, c_c1) | (~node10(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21017, 21016])).
% 6.29/5.00 tff(21019,plain,
% 6.29/5.00 (~node10(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21018, 793, 20944])).
% 6.29/5.00 tff(21020,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s260, c_n1) | (~node9(s260)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s260, c_n1) | (~node9(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21021,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s260, c_n1) | (~node9(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21022,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s260, c_n1) | (~node9(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21021, 21020])).
% 6.29/5.00 tff(21023,plain,
% 6.29/5.00 (~node9(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21022, 804, 20911])).
% 6.29/5.00 tff(21024,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s260, c_n2) | (~node8(s260)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s260, c_n2) | (~node8(s260)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21025,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s260, c_n2) | (~node8(s260)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21026,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s260, c_n2) | (~node8(s260))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21025, 21024])).
% 6.29/5.00 tff(21027,plain,
% 6.29/5.00 (~node8(s260)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21026, 383, 20976])).
% 6.29/5.00 tff(21028,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s260, s261)) | node14(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s260, s261)) | node14(s260, s261))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21029,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s260, s261)) | node14(s260, s261))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21030,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s260, s261)) | node14(s260, s261)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 6.29/5.00 tff(21031,plain,
% 6.29/5.00 (node14(s260, s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21030, 130, 20987])).
% 6.29/5.00 tff(21032,plain,
% 6.29/5.00 (((~![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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, 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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21033,plain,
% 6.29/5.00 (((~m_main_v_state2(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2)) <=> (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21034,plain,
% 6.29/5.00 (((~![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(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, 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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2))))),
% 6.29/5.00 inference(monotonicity,[status(thm)],[21033])).
% 6.29/5.00 tff(21035,plain,
% 6.29/5.00 (((~![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(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, 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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2)))),
% 6.29/5.00 inference(transitivity,[status(thm)],[21034, 21032])).
% 6.29/5.00 tff(21036,plain,
% 6.29/5.00 ((~![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(s260, c_c2)) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | m_main_v_state2(s261, c_n2))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21037,plain,
% 6.29/5.00 ((~![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(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~node14(s260, s261)) | (~m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 6.29/5.00 tff(21038,plain,
% 6.29/5.00 (m_main_v_state2(s261, c_n2) | node9(s260) | node8(s260) | node10(s260) | node11(s260) | node12(s260) | (~m_main_v_state2(s260, c_c2))),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21037, 826, 21031])).
% 6.29/5.00 tff(21039,plain,
% 6.29/5.00 (m_main_v_state2(s261, c_n2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21038, 21027, 20972, 21023, 21019, 21015, 21011])).
% 6.29/5.00 tff(21040,plain,
% 6.29/5.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21041,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21042,plain,
% 6.29/5.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_t2))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21041, 21040])).
% 6.29/5.00 tff(21043,plain,
% 6.29/5.00 (~m_main_v_state2(s261, c_t2)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21042, 10, 21039])).
% 6.29/5.00 tff(21044,plain,
% 6.29/5.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s261, c_t2) | (~node15(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s261, c_t2) | (~node15(s261)))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21045,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s261, c_t2) | (~node15(s261)))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21046,plain,
% 6.29/5.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s261, c_t2) | (~node15(s261))),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 6.29/5.00 tff(21047,plain,
% 6.29/5.00 (~node15(s261)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21046, 21, 21043])).
% 6.29/5.00 tff(21048,plain,
% 6.29/5.00 (succ(s261, s262) <=> succ(s261, s262)),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21049,axiom,(succ(s261, s262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound262')).
% 6.29/5.00 tff(21050,plain,
% 6.29/5.00 (succ(s261, s262)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 6.29/5.00 tff(21051,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21052,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21053,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 6.29/5.00 tff(21054,plain,
% 6.29/5.00 (trans(s261, s262)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21053, 21050, 57])).
% 6.29/5.00 tff(21055,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s261, s262)) | node18(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s261, s262)) | node18(s261, s262))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21056,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s261, s262)) | node18(s261, s262))),
% 6.29/5.00 inference(quant_inst,[status(thm)],[])).
% 6.29/5.00 tff(21057,plain,
% 6.29/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s261, s262)) | node18(s261, s262)),
% 6.29/5.00 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 6.29/5.00 tff(21058,plain,
% 6.29/5.00 (node18(s261, s262)),
% 6.29/5.00 inference(unit_resolution,[status(thm)],[21057, 71, 21054])).
% 6.29/5.00 tff(21059,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~m_main_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(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, 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(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21060,plain,
% 6.29/5.00 (((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1)) <=> (node15(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 6.29/5.00 inference(rewrite,[status(thm)],[])).
% 6.29/5.00 tff(21061,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~m_main_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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, 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(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)))),
% 6.29/5.00 inference(monotonicity,[status(thm)],[21060])).
% 6.29/5.00 tff(21062,plain,
% 6.29/5.00 (((~![Y: $i, X: $i] : ((~m_main_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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, 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(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1))),
% 6.29/5.00 inference(transitivity,[status(thm)],[21061, 21059])).
% 6.29/5.01 tff(21063,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~m_main_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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node15(s261) | (~node18(s261, s262)) | m_main_v_turn(s262, c_1))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21064,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~m_main_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(s261) | (~node18(s261, s262)) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21063, 21062])).
% 6.29/5.01 tff(21065,plain,
% 6.29/5.01 (node15(s261) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_turn(s262, c_1)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21064, 863, 21058])).
% 6.29/5.01 tff(21066,plain,
% 6.29/5.01 (m_main_v_turn(s262, c_1)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21065, 21047, 21039, 21003])).
% 6.29/5.01 tff(21067,plain,
% 6.29/5.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21068,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21069,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s262, c_1)) | (~m_main_v_turn(s262, c_2))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 6.29/5.01 tff(21070,plain,
% 6.29/5.01 (~m_main_v_turn(s262, c_2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21069, 322, 21066])).
% 6.29/5.01 tff(21071,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s262, c_2) | (~node12(s262)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s262, c_2) | (~node12(s262)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21072,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s262, c_2) | (~node12(s262)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21073,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s262, c_2) | (~node12(s262))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 6.29/5.01 tff(21074,plain,
% 6.29/5.01 (~node12(s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21073, 350, 21070])).
% 6.29/5.01 tff(21075,plain,
% 6.29/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s261, s262)) | node14(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s261, s262)) | node14(s261, s262))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21076,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s261, s262)) | node14(s261, s262))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21077,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s261, s262)) | node14(s261, s262)),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 6.29/5.01 tff(21078,plain,
% 6.29/5.01 (node14(s261, s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21077, 130, 21054])).
% 6.29/5.01 tff(21079,plain,
% 6.29/5.01 (((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, 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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21080,plain,
% 6.29/5.01 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21081,plain,
% 6.29/5.01 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | (~node14(s261, s262)) | m_main_v_state2(s262, c_t2)),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21080, 21079])).
% 6.29/5.01 tff(21082,plain,
% 6.29/5.01 ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state2(s262, c_t2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21081, 893, 21078])).
% 6.29/5.01 tff(21083,plain,
% 6.29/5.01 (m_main_v_state2(s262, c_t2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21082, 21003, 21039])).
% 6.29/5.01 tff(21084,plain,
% 6.29/5.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21085,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21086,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s262, c_n2)) | (~m_main_v_state2(s262, c_t2))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 6.29/5.01 tff(21087,plain,
% 6.29/5.01 (~m_main_v_state2(s262, c_n2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21086, 10, 21083])).
% 6.29/5.01 tff(21088,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s262, c_n2) | (~node8(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s262, c_n2) | (~node8(s262)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21089,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s262, c_n2) | (~node8(s262)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21090,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s262, c_n2) | (~node8(s262))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21089, 21088])).
% 6.29/5.01 tff(21091,plain,
% 6.29/5.01 (~node8(s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21090, 383, 21087])).
% 6.29/5.01 tff(21092,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s262, c_n2) | (~node9(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s262, c_n2) | (~node9(s262)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21093,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s262, c_n2) | (~node9(s262)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21094,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s262, c_n2) | (~node9(s262))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21093, 21092])).
% 6.29/5.01 tff(21095,plain,
% 6.29/5.01 (~node9(s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21094, 311, 21087])).
% 6.29/5.01 tff(21096,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s262, c_n2) | (~node10(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s262, c_n2) | (~node10(s262)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21097,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s262, c_n2) | (~node10(s262)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21098,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s262, c_n2) | (~node10(s262))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21097, 21096])).
% 6.29/5.01 tff(21099,plain,
% 6.29/5.01 (~node10(s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21098, 372, 21087])).
% 6.29/5.01 tff(21100,plain,
% 6.29/5.01 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21101,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21102,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s262, c_t2)) | (~m_main_v_state2(s262, c_c2))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 6.29/5.01 tff(21103,plain,
% 6.29/5.01 (~m_main_v_state2(s262, c_c2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21102, 173, 21083])).
% 6.29/5.01 tff(21104,plain,
% 6.29/5.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21105,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21106,plain,
% 6.29/5.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s261, c_n2)) | (~m_main_v_state2(s261, c_c2))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 6.29/5.01 tff(21107,plain,
% 6.29/5.01 (~m_main_v_state2(s261, c_c2)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21106, 716, 21039])).
% 6.29/5.01 tff(21108,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s261, c_c2) | (~node3(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s261, c_c2) | (~node3(s261)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21109,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s261, c_c2) | (~node3(s261)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21110,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s261, c_c2) | (~node3(s261))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 6.29/5.01 tff(21111,plain,
% 6.29/5.01 (~node3(s261)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21110, 184, 21107])).
% 6.29/5.01 tff(21112,plain,
% 6.29/5.01 (((~![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(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21113,plain,
% 6.29/5.01 (((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1))) <=> (m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21114,plain,
% 6.29/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, 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(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261))))),
% 6.29/5.01 inference(monotonicity,[status(thm)],[21113])).
% 6.29/5.01 tff(21115,plain,
% 6.29/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, 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(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261)))),
% 6.29/5.01 inference(transitivity,[status(thm)],[21114, 21112])).
% 6.29/5.01 tff(21116,plain,
% 6.29/5.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s260, s261)) | m_main_v_state1(s260, c_n1) | (~m_main_v_state1(s261, c_n1)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21117,plain,
% 6.29/5.01 ((~![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(s260, c_n1) | (~m_main_v_state1(s261, c_n1)) | (~node6(s260, s261))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21116, 21115])).
% 6.29/5.01 tff(21118,plain,
% 6.29/5.01 (~m_main_v_state1(s261, c_n1)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21117, 936, 20911, 20996])).
% 6.29/5.01 tff(21119,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s261, c_n1) | (~node2(s261)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s261, c_n1) | (~node2(s261)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21120,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s261, c_n1) | (~node2(s261)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21121,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s261, c_n1) | (~node2(s261))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21120, 21119])).
% 6.29/5.01 tff(21122,plain,
% 6.29/5.01 (~node2(s261)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21121, 652, 21118])).
% 6.29/5.01 tff(21123,plain,
% 6.29/5.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s261, c_t2) | (~node1(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s261, c_t2) | (~node1(s261)))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21124,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s261, c_t2) | (~node1(s261)))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21125,plain,
% 6.29/5.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s261, c_t2) | (~node1(s261))),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21124, 21123])).
% 6.29/5.01 tff(21126,plain,
% 6.29/5.01 (~node1(s261)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21125, 206, 21043])).
% 6.29/5.01 tff(21127,plain,
% 6.29/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s261, s262)) | node7(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s261, s262)) | node7(s261, s262))),
% 6.29/5.01 inference(rewrite,[status(thm)],[])).
% 6.29/5.01 tff(21128,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s261, s262)) | node7(s261, s262))),
% 6.29/5.01 inference(quant_inst,[status(thm)],[])).
% 6.29/5.01 tff(21129,plain,
% 6.29/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s261, s262)) | node7(s261, s262)),
% 6.29/5.01 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 6.29/5.01 tff(21130,plain,
% 6.29/5.01 (node7(s261, s262)),
% 6.29/5.01 inference(unit_resolution,[status(thm)],[21129, 217, 21054])).
% 6.29/5.01 tff(21131,plain,
% 6.29/5.01 (((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21132,plain,
% 6.38/5.01 (((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1)) <=> ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21133,plain,
% 6.38/5.01 (((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, 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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262))))),
% 6.38/5.01 inference(monotonicity,[status(thm)],[21132])).
% 6.38/5.01 tff(21134,plain,
% 6.38/5.01 (((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, 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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)))),
% 6.38/5.01 inference(transitivity,[status(thm)],[21133, 21131])).
% 6.38/5.01 tff(21135,plain,
% 6.38/5.01 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262)) | m_main_v_state1(s262, c_c1))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21136,plain,
% 6.38/5.01 ((~![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(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261) | (~node7(s261, s262))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21135, 21134])).
% 6.38/5.01 tff(21137,plain,
% 6.38/5.01 ((~m_main_v_state1(s261, c_t1)) | (~m_main_v_state2(s261, c_n2)) | m_main_v_state1(s262, c_c1) | node1(s261) | node2(s261) | node3(s261)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21136, 965, 21130])).
% 6.38/5.01 tff(21138,plain,
% 6.38/5.01 (m_main_v_state1(s262, c_c1)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21137, 21126, 21039, 21003, 21122, 21111])).
% 6.38/5.01 tff(21139,plain,
% 6.38/5.01 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21140,plain,
% 6.38/5.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21141,plain,
% 6.38/5.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_n1)) | (~m_main_v_state1(s262, c_c1))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 6.38/5.01 tff(21142,plain,
% 6.38/5.01 (~m_main_v_state1(s262, c_n1)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21141, 449, 21138])).
% 6.38/5.01 tff(21143,plain,
% 6.38/5.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s262, c_n1) | (~node11(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s262, c_n1) | (~node11(s262)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21144,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s262, c_n1) | (~node11(s262)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21145,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s262, c_n1) | (~node11(s262))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 6.38/5.01 tff(21146,plain,
% 6.38/5.01 (~node11(s262)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21145, 361, 21142])).
% 6.38/5.01 tff(21147,plain,
% 6.38/5.01 (succ(s262, s263) <=> succ(s262, s263)),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21148,axiom,(succ(s262, s263)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound263')).
% 6.38/5.01 tff(21149,plain,
% 6.38/5.01 (succ(s262, s263)),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21148, 21147])).
% 6.38/5.01 tff(21150,plain,
% 6.38/5.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21151,plain,
% 6.38/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21152,plain,
% 6.38/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21151, 21150])).
% 6.38/5.01 tff(21153,plain,
% 6.38/5.01 (trans(s262, s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21152, 21149, 57])).
% 6.38/5.01 tff(21154,plain,
% 6.38/5.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s262, s263)) | node14(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s262, s263)) | node14(s262, s263))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21155,plain,
% 6.38/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s262, s263)) | node14(s262, s263))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21156,plain,
% 6.38/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s262, s263)) | node14(s262, s263)),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 6.38/5.01 tff(21157,plain,
% 6.38/5.01 (node14(s262, s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21156, 130, 21153])).
% 6.38/5.01 tff(21158,plain,
% 6.38/5.01 (((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))) <=> ((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21159,plain,
% 6.38/5.01 ((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21160,plain,
% 6.38/5.01 ((~![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(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263) | (~node14(s262, s263))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 6.38/5.01 tff(21161,plain,
% 6.38/5.01 (m_main_v_state2(s262, c_c2) | node9(s262) | node8(s262) | node10(s262) | node11(s262) | node12(s262) | node13(s262, s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21160, 401, 21157])).
% 6.38/5.01 tff(21162,plain,
% 6.38/5.01 (node13(s262, s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21161, 21146, 21103, 21099, 21095, 21091, 21074])).
% 6.38/5.01 tff(21163,plain,
% 6.38/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21164,plain,
% 6.38/5.01 (((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2))) <=> (m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21165,plain,
% 6.38/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, 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(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263))))),
% 6.38/5.01 inference(monotonicity,[status(thm)],[21164])).
% 6.38/5.01 tff(21166,plain,
% 6.38/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, 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(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263)))),
% 6.38/5.01 inference(transitivity,[status(thm)],[21165, 21163])).
% 6.38/5.01 tff(21167,plain,
% 6.38/5.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s262, s263)) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21168,plain,
% 6.38/5.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s262, c_n2) | (~m_main_v_state2(s263, c_n2)) | (~node13(s262, s263))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 6.38/5.01 tff(21169,plain,
% 6.38/5.01 (~m_main_v_state2(s263, c_n2)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21168, 416, 21087, 21162])).
% 6.38/5.01 tff(21170,plain,
% 6.38/5.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s263, c_n2) | (~node9(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s263, c_n2) | (~node9(s263)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21171,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s263, c_n2) | (~node9(s263)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21172,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s263, c_n2) | (~node9(s263))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 6.38/5.01 tff(21173,plain,
% 6.38/5.01 (~node9(s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21172, 311, 21169])).
% 6.38/5.01 tff(21174,plain,
% 6.38/5.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s263, c_n2) | (~node10(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s263, c_n2) | (~node10(s263)))),
% 6.38/5.01 inference(rewrite,[status(thm)],[])).
% 6.38/5.01 tff(21175,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s263, c_n2) | (~node10(s263)))),
% 6.38/5.01 inference(quant_inst,[status(thm)],[])).
% 6.38/5.01 tff(21176,plain,
% 6.38/5.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s263, c_n2) | (~node10(s263))),
% 6.38/5.01 inference(modus_ponens,[status(thm)],[21175, 21174])).
% 6.38/5.01 tff(21177,plain,
% 6.38/5.01 (~node10(s263)),
% 6.38/5.01 inference(unit_resolution,[status(thm)],[21176, 372, 21169])).
% 6.38/5.01 tff(21178,plain,
% 6.38/5.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21179,plain,
% 6.38/5.02 (((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2)) <=> ((~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21180,plain,
% 6.38/5.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, 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(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263))))),
% 6.38/5.02 inference(monotonicity,[status(thm)],[21179])).
% 6.38/5.02 tff(21181,plain,
% 6.38/5.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, 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(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263)))),
% 6.38/5.02 inference(transitivity,[status(thm)],[21180, 21178])).
% 6.38/5.02 tff(21182,plain,
% 6.38/5.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s262, s263)) | (~m_main_v_state2(s262, c_t2)) | m_main_v_state2(s263, c_t2))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21183,plain,
% 6.38/5.02 ((~![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(s262, c_t2)) | m_main_v_state2(s263, c_t2) | (~node13(s262, s263))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21182, 21181])).
% 6.38/5.02 tff(21184,plain,
% 6.38/5.02 (m_main_v_state2(s263, c_t2)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21183, 563, 21083, 21162])).
% 6.38/5.02 tff(21185,plain,
% 6.38/5.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21186,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21187,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s262, c_t1)) | (~m_main_v_state1(s262, c_c1))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 6.38/5.02 tff(21188,plain,
% 6.38/5.02 (~m_main_v_state1(s262, c_t1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21187, 289, 21138])).
% 6.38/5.02 tff(21189,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s262, c_t1) | (~node5(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s262, c_t1) | (~node5(s262)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21190,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s262, c_t1) | (~node5(s262)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21191,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s262, c_t1) | (~node5(s262))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 6.38/5.02 tff(21192,plain,
% 6.38/5.02 (~node5(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21191, 300, 21188])).
% 6.38/5.02 tff(21193,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s262, c_n2) | (~node4(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s262, c_n2) | (~node4(s262)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21194,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s262, c_n2) | (~node4(s262)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21195,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s262, c_n2) | (~node4(s262))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 6.38/5.02 tff(21196,plain,
% 6.38/5.02 (~node4(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21195, 162, 21087])).
% 6.38/5.02 tff(21197,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s262, c_c2) | (~node3(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s262, c_c2) | (~node3(s262)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21198,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s262, c_c2) | (~node3(s262)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21199,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s262, c_c2) | (~node3(s262))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21198, 21197])).
% 6.38/5.02 tff(21200,plain,
% 6.38/5.02 (~node3(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21199, 184, 21103])).
% 6.38/5.02 tff(21201,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s262, c_n2) | (~node2(s262)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s262, c_n2) | (~node2(s262)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21202,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s262, c_n2) | (~node2(s262)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21203,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s262, c_n2) | (~node2(s262))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21202, 21201])).
% 6.38/5.02 tff(21204,plain,
% 6.38/5.02 (~node2(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21203, 195, 21087])).
% 6.38/5.02 tff(21205,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s262, c_n1) | (~node1(s262)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s262, c_n1) | (~node1(s262)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21206,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s262, c_n1) | (~node1(s262)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21207,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s262, c_n1) | (~node1(s262))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21206, 21205])).
% 6.38/5.02 tff(21208,plain,
% 6.38/5.02 (~node1(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21207, 249, 21142])).
% 6.38/5.02 tff(21209,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s262, s263)) | node7(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s262, s263)) | node7(s262, s263))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21210,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s262, s263)) | node7(s262, s263))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21211,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s262, s263)) | node7(s262, s263)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 6.38/5.02 tff(21212,plain,
% 6.38/5.02 (node7(s262, s263)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21211, 217, 21153])).
% 6.38/5.02 tff(21213,plain,
% 6.38/5.02 (((~![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(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21214,plain,
% 6.38/5.02 (((~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1)) <=> (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21215,plain,
% 6.38/5.02 (((~![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(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, 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(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263))))),
% 6.38/5.02 inference(monotonicity,[status(thm)],[21214])).
% 6.38/5.02 tff(21216,plain,
% 6.38/5.02 (((~![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(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, 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(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)))),
% 6.38/5.02 inference(transitivity,[status(thm)],[21215, 21213])).
% 6.38/5.02 tff(21217,plain,
% 6.38/5.02 ((~![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(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263)) | m_main_v_state1(s263, c_n1))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21218,plain,
% 6.38/5.02 ((~![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(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262) | (~node7(s262, s263))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 6.38/5.02 tff(21219,plain,
% 6.38/5.02 (m_main_v_state1(s263, c_n1) | (~m_main_v_state1(s262, c_c1)) | node1(s262) | node2(s262) | node3(s262) | node4(s262) | node5(s262)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21218, 478, 21212])).
% 6.38/5.02 tff(21220,plain,
% 6.38/5.02 (m_main_v_state1(s263, c_n1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21219, 21208, 21138, 21204, 21200, 21196, 21192])).
% 6.38/5.02 tff(21221,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s263, c_n2) | (~node8(s263)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s263, c_n2) | (~node8(s263)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21222,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s263, c_n2) | (~node8(s263)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21223,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s263, c_n2) | (~node8(s263))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 6.38/5.02 tff(21224,plain,
% 6.38/5.02 (~node8(s263)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21223, 383, 21169])).
% 6.38/5.02 tff(21225,plain,
% 6.38/5.02 (succ(s263, s264) <=> succ(s263, s264)),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21226,axiom,(succ(s263, s264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound264')).
% 6.38/5.02 tff(21227,plain,
% 6.38/5.02 (succ(s263, s264)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 6.38/5.02 tff(21228,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21229,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21230,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 6.38/5.02 tff(21231,plain,
% 6.38/5.02 (trans(s263, s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21230, 21227, 57])).
% 6.38/5.02 tff(21232,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s263, s264)) | node14(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s263, s264)) | node14(s263, s264))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21233,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s263, s264)) | node14(s263, s264))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21234,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s263, s264)) | node14(s263, s264)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21233, 21232])).
% 6.38/5.02 tff(21235,plain,
% 6.38/5.02 (node14(s263, s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21234, 130, 21231])).
% 6.38/5.02 tff(21236,plain,
% 6.38/5.02 (((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, 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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21237,plain,
% 6.38/5.02 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21238,plain,
% 6.38/5.02 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | (~node14(s263, s264)) | m_main_v_state2(s264, c_c2)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 6.38/5.02 tff(21239,plain,
% 6.38/5.02 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | node9(s263) | node8(s263) | node10(s263) | m_main_v_state2(s264, c_c2)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21238, 704, 21235])).
% 6.38/5.02 tff(21240,plain,
% 6.38/5.02 (m_main_v_state2(s264, c_c2)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21239, 21224, 21220, 21184, 21177, 21173])).
% 6.38/5.02 tff(21241,plain,
% 6.38/5.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21242,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21243,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_t2)) | (~m_main_v_state2(s264, c_c2))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21242, 21241])).
% 6.38/5.02 tff(21244,plain,
% 6.38/5.02 (~m_main_v_state2(s264, c_t2)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21243, 173, 21240])).
% 6.38/5.02 tff(21245,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s264, c_t2) | (~node12(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s264, c_t2) | (~node12(s264)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21246,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s264, c_t2) | (~node12(s264)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21247,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s264, c_t2) | (~node12(s264))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 6.38/5.02 tff(21248,plain,
% 6.38/5.02 (~node12(s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21247, 778, 21244])).
% 6.38/5.02 tff(21249,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s263, s264)) | node7(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s263, s264)) | node7(s263, s264))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21250,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s263, s264)) | node7(s263, s264))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21251,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s263, s264)) | node7(s263, s264)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 6.38/5.02 tff(21252,plain,
% 6.38/5.02 (node7(s263, s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21251, 217, 21231])).
% 6.38/5.02 tff(21253,plain,
% 6.38/5.02 (((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, 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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21254,plain,
% 6.38/5.02 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21255,plain,
% 6.38/5.02 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node7(s263, s264)) | m_main_v_state1(s264, c_t1)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 6.38/5.02 tff(21256,plain,
% 6.38/5.02 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_state1(s264, c_t1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21255, 598, 21252])).
% 6.38/5.02 tff(21257,plain,
% 6.38/5.02 (m_main_v_state1(s264, c_t1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21256, 21184, 21220])).
% 6.38/5.02 tff(21258,plain,
% 6.38/5.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21259,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21260,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s264, c_n1)) | (~m_main_v_state1(s264, c_t1))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 6.38/5.02 tff(21261,plain,
% 6.38/5.02 (~m_main_v_state1(s264, c_n1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21260, 35, 21257])).
% 6.38/5.02 tff(21262,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s264, c_n1) | (~node11(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s264, c_n1) | (~node11(s264)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21263,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s264, c_n1) | (~node11(s264)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21264,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s264, c_n1) | (~node11(s264))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21263, 21262])).
% 6.38/5.02 tff(21265,plain,
% 6.38/5.02 (~node11(s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21264, 361, 21261])).
% 6.38/5.02 tff(21266,plain,
% 6.38/5.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21267,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21268,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s264, c_t1)) | (~m_main_v_state1(s264, c_c1))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21267, 21266])).
% 6.38/5.02 tff(21269,plain,
% 6.38/5.02 (~m_main_v_state1(s264, c_c1)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21268, 289, 21257])).
% 6.38/5.02 tff(21270,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s264, c_c1) | (~node10(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s264, c_c1) | (~node10(s264)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21271,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s264, c_c1) | (~node10(s264)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21272,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s264, c_c1) | (~node10(s264))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 6.38/5.02 tff(21273,plain,
% 6.38/5.02 (~node10(s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21272, 793, 21269])).
% 6.38/5.02 tff(21274,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s264, c_n1) | (~node9(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s264, c_n1) | (~node9(s264)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21275,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s264, c_n1) | (~node9(s264)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21276,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s264, c_n1) | (~node9(s264))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21275, 21274])).
% 6.38/5.02 tff(21277,plain,
% 6.38/5.02 (~node9(s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21276, 804, 21261])).
% 6.38/5.02 tff(21278,plain,
% 6.38/5.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21279,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21280,plain,
% 6.38/5.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s264, c_n2)) | (~m_main_v_state2(s264, c_c2))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 6.38/5.02 tff(21281,plain,
% 6.38/5.02 (~m_main_v_state2(s264, c_n2)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21280, 716, 21240])).
% 6.38/5.02 tff(21282,plain,
% 6.38/5.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s264, c_n2) | (~node8(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s264, c_n2) | (~node8(s264)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21283,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s264, c_n2) | (~node8(s264)))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21284,plain,
% 6.38/5.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s264, c_n2) | (~node8(s264))),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21283, 21282])).
% 6.38/5.02 tff(21285,plain,
% 6.38/5.02 (~node8(s264)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21284, 383, 21281])).
% 6.38/5.02 tff(21286,plain,
% 6.38/5.02 (succ(s264, s265) <=> succ(s264, s265)),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21287,axiom,(succ(s264, s265)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound265')).
% 6.38/5.02 tff(21288,plain,
% 6.38/5.02 (succ(s264, s265)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 6.38/5.02 tff(21289,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21290,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21291,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21290, 21289])).
% 6.38/5.02 tff(21292,plain,
% 6.38/5.02 (trans(s264, s265)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21291, 21288, 57])).
% 6.38/5.02 tff(21293,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s264, s265)) | node14(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s264, s265)) | node14(s264, s265))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21294,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s264, s265)) | node14(s264, s265))),
% 6.38/5.02 inference(quant_inst,[status(thm)],[])).
% 6.38/5.02 tff(21295,plain,
% 6.38/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s264, s265)) | node14(s264, s265)),
% 6.38/5.02 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 6.38/5.02 tff(21296,plain,
% 6.38/5.02 (node14(s264, s265)),
% 6.38/5.02 inference(unit_resolution,[status(thm)],[21295, 130, 21292])).
% 6.38/5.02 tff(21297,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, 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(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21298,plain,
% 6.38/5.02 (((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2)) <=> (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.02 inference(rewrite,[status(thm)],[])).
% 6.38/5.02 tff(21299,plain,
% 6.38/5.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, 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(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2))))),
% 6.38/5.03 inference(monotonicity,[status(thm)],[21298])).
% 6.38/5.03 tff(21300,plain,
% 6.38/5.03 (((~![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(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, 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(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2)))),
% 6.38/5.03 inference(transitivity,[status(thm)],[21299, 21297])).
% 6.38/5.03 tff(21301,plain,
% 6.38/5.03 ((~![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(s264, c_c2)) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | m_main_v_state2(s265, c_n2))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21302,plain,
% 6.38/5.03 ((~![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(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~node14(s264, s265)) | (~m_main_v_state2(s264, c_c2))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 6.38/5.03 tff(21303,plain,
% 6.38/5.03 (m_main_v_state2(s265, c_n2) | node9(s264) | node8(s264) | node10(s264) | node11(s264) | node12(s264) | (~m_main_v_state2(s264, c_c2))),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21302, 826, 21296])).
% 6.38/5.03 tff(21304,plain,
% 6.38/5.03 (m_main_v_state2(s265, c_n2)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21303, 21285, 21240, 21277, 21273, 21265, 21248])).
% 6.38/5.03 tff(21305,plain,
% 6.38/5.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21306,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21307,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_c2))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21306, 21305])).
% 6.38/5.03 tff(21308,plain,
% 6.38/5.03 (~m_main_v_state2(s265, c_c2)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21307, 716, 21304])).
% 6.38/5.03 tff(21309,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s265, c_c2) | (~node3(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s265, c_c2) | (~node3(s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21310,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s265, c_c2) | (~node3(s265)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21311,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s265, c_c2) | (~node3(s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21310, 21309])).
% 6.38/5.03 tff(21312,plain,
% 6.38/5.03 (~node3(s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21311, 184, 21308])).
% 6.38/5.03 tff(21313,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s264, c_n1) | (~node1(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s264, c_n1) | (~node1(s264)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21314,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s264, c_n1) | (~node1(s264)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21315,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s264, c_n1) | (~node1(s264))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21314, 21313])).
% 6.38/5.03 tff(21316,plain,
% 6.38/5.03 (~node1(s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21315, 249, 21261])).
% 6.38/5.03 tff(21317,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s263, s264)) | node18(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s263, s264)) | node18(s263, s264))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21318,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s263, s264)) | node18(s263, s264))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21319,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s263, s264)) | node18(s263, s264)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21318, 21317])).
% 6.38/5.03 tff(21320,plain,
% 6.38/5.03 (node18(s263, s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21319, 71, 21231])).
% 6.38/5.03 tff(21321,plain,
% 6.38/5.03 (((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, 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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21322,plain,
% 6.38/5.03 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21323,plain,
% 6.38/5.03 ((~![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(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | (~node18(s263, s264)) | m_main_v_turn(s264, c_2)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 6.38/5.03 tff(21324,plain,
% 6.38/5.03 ((~m_main_v_state1(s263, c_n1)) | (~m_main_v_state2(s263, c_t2)) | m_main_v_turn(s264, c_2)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21323, 625, 21320])).
% 6.38/5.03 tff(21325,plain,
% 6.38/5.03 (m_main_v_turn(s264, c_2)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21324, 21184, 21220])).
% 6.38/5.03 tff(21326,plain,
% 6.38/5.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21327,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21328,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s264, c_1)) | (~m_main_v_turn(s264, c_2))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21327, 21326])).
% 6.38/5.03 tff(21329,plain,
% 6.38/5.03 (~m_main_v_turn(s264, c_1)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21328, 322, 21325])).
% 6.38/5.03 tff(21330,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s264, c_1) | (~node5(s264)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s264, c_1) | (~node5(s264)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21331,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s264, c_1) | (~node5(s264)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21332,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s264, c_1) | (~node5(s264))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 6.38/5.03 tff(21333,plain,
% 6.38/5.03 (~node5(s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21332, 641, 21329])).
% 6.38/5.03 tff(21334,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s264, c_n1) | (~node2(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s264, c_n1) | (~node2(s264)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21335,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s264, c_n1) | (~node2(s264)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21336,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s264, c_n1) | (~node2(s264))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21335, 21334])).
% 6.38/5.03 tff(21337,plain,
% 6.38/5.03 (~node2(s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21336, 652, 21261])).
% 6.38/5.03 tff(21338,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s264, c_n1) | (~node3(s264)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s264, c_n1) | (~node3(s264)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21339,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s264, c_n1) | (~node3(s264)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21340,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s264, c_n1) | (~node3(s264))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 6.38/5.03 tff(21341,plain,
% 6.38/5.03 (~node3(s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21340, 663, 21261])).
% 6.38/5.03 tff(21342,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s264, c_n2) | (~node4(s264)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s264, c_n2) | (~node4(s264)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21343,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s264, c_n2) | (~node4(s264)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21344,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s264, c_n2) | (~node4(s264))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 6.38/5.03 tff(21345,plain,
% 6.38/5.03 (~node4(s264)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21344, 162, 21281])).
% 6.38/5.03 tff(21346,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s264, s265)) | node7(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s264, s265)) | node7(s264, s265))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21347,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s264, s265)) | node7(s264, s265))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21348,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s264, s265)) | node7(s264, s265)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 6.38/5.03 tff(21349,plain,
% 6.38/5.03 (node7(s264, s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21348, 217, 21292])).
% 6.38/5.03 tff(21350,plain,
% 6.38/5.03 (((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))) <=> ((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21351,plain,
% 6.38/5.03 ((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21352,plain,
% 6.38/5.03 ((~![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(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265) | (~node7(s264, s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 6.38/5.03 tff(21353,plain,
% 6.38/5.03 (m_main_v_state1(s264, c_c1) | node1(s264) | node2(s264) | node3(s264) | node4(s264) | node5(s264) | node6(s264, s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21352, 745, 21349])).
% 6.38/5.03 tff(21354,plain,
% 6.38/5.03 (node6(s264, s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21353, 21345, 21269, 21341, 21337, 21333, 21316])).
% 6.38/5.03 tff(21355,plain,
% 6.38/5.03 (((~![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(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21356,plain,
% 6.38/5.03 (((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1))) <=> (m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21357,plain,
% 6.38/5.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, 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(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265))))),
% 6.38/5.03 inference(monotonicity,[status(thm)],[21356])).
% 6.38/5.03 tff(21358,plain,
% 6.38/5.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, 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(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265)))),
% 6.38/5.03 inference(transitivity,[status(thm)],[21357, 21355])).
% 6.38/5.03 tff(21359,plain,
% 6.38/5.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s264, s265)) | m_main_v_state1(s264, c_n1) | (~m_main_v_state1(s265, c_n1)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21360,plain,
% 6.38/5.03 ((~![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(s264, c_n1) | (~m_main_v_state1(s265, c_n1)) | (~node6(s264, s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21359, 21358])).
% 6.38/5.03 tff(21361,plain,
% 6.38/5.03 (~m_main_v_state1(s265, c_n1)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21360, 936, 21261, 21354])).
% 6.38/5.03 tff(21362,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s265, c_n1) | (~node2(s265)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s265, c_n1) | (~node2(s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21363,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s265, c_n1) | (~node2(s265)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21364,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s265, c_n1) | (~node2(s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21363, 21362])).
% 6.38/5.03 tff(21365,plain,
% 6.38/5.03 (~node2(s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21364, 652, 21361])).
% 6.38/5.03 tff(21366,plain,
% 6.38/5.03 (((~![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(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21367,plain,
% 6.38/5.03 (((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1)) <=> ((~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21368,plain,
% 6.38/5.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, 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(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265))))),
% 6.38/5.03 inference(monotonicity,[status(thm)],[21367])).
% 6.38/5.03 tff(21369,plain,
% 6.38/5.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, 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(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265)))),
% 6.38/5.03 inference(transitivity,[status(thm)],[21368, 21366])).
% 6.38/5.03 tff(21370,plain,
% 6.38/5.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s264, s265)) | (~m_main_v_state1(s264, c_t1)) | m_main_v_state1(s265, c_t1))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21371,plain,
% 6.38/5.03 ((~![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(s264, c_t1)) | m_main_v_state1(s265, c_t1) | (~node6(s264, s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21370, 21369])).
% 6.38/5.03 tff(21372,plain,
% 6.38/5.03 (m_main_v_state1(s265, c_t1)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21371, 760, 21257, 21354])).
% 6.38/5.03 tff(21373,plain,
% 6.38/5.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21374,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21375,plain,
% 6.38/5.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s265, c_n2)) | (~m_main_v_state2(s265, c_t2))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 6.38/5.03 tff(21376,plain,
% 6.38/5.03 (~m_main_v_state2(s265, c_t2)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21375, 10, 21304])).
% 6.38/5.03 tff(21377,plain,
% 6.38/5.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s265, c_t2) | (~node1(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s265, c_t2) | (~node1(s265)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21378,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s265, c_t2) | (~node1(s265)))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21379,plain,
% 6.38/5.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s265, c_t2) | (~node1(s265))),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 6.38/5.03 tff(21380,plain,
% 6.38/5.03 (~node1(s265)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21379, 206, 21376])).
% 6.38/5.03 tff(21381,plain,
% 6.38/5.03 (succ(s265, s266) <=> succ(s265, s266)),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21382,axiom,(succ(s265, s266)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound266')).
% 6.38/5.03 tff(21383,plain,
% 6.38/5.03 (succ(s265, s266)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 6.38/5.03 tff(21384,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21385,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21386,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 6.38/5.03 tff(21387,plain,
% 6.38/5.03 (trans(s265, s266)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21386, 21383, 57])).
% 6.38/5.03 tff(21388,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s265, s266)) | node7(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s265, s266)) | node7(s265, s266))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21389,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s265, s266)) | node7(s265, s266))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21390,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s265, s266)) | node7(s265, s266)),
% 6.38/5.03 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 6.38/5.03 tff(21391,plain,
% 6.38/5.03 (node7(s265, s266)),
% 6.38/5.03 inference(unit_resolution,[status(thm)],[21390, 217, 21387])).
% 6.38/5.03 tff(21392,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21393,plain,
% 6.38/5.03 (((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1)) <=> ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 6.38/5.03 inference(rewrite,[status(thm)],[])).
% 6.38/5.03 tff(21394,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, 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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266))))),
% 6.38/5.03 inference(monotonicity,[status(thm)],[21393])).
% 6.38/5.03 tff(21395,plain,
% 6.38/5.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, 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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)))),
% 6.38/5.03 inference(transitivity,[status(thm)],[21394, 21392])).
% 6.38/5.03 tff(21396,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266)) | m_main_v_state1(s266, c_c1))),
% 6.38/5.03 inference(quant_inst,[status(thm)],[])).
% 6.38/5.03 tff(21397,plain,
% 6.38/5.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265) | (~node7(s265, s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 6.38/5.04 tff(21398,plain,
% 6.38/5.04 ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state1(s266, c_c1) | node1(s265) | node2(s265) | node3(s265)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21397, 965, 21391])).
% 6.38/5.04 tff(21399,plain,
% 6.38/5.04 (m_main_v_state1(s266, c_c1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21398, 21380, 21304, 21372, 21365, 21312])).
% 6.38/5.04 tff(21400,plain,
% 6.38/5.04 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21401,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21402,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_t1)) | (~m_main_v_state1(s266, c_c1))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21401, 21400])).
% 6.38/5.04 tff(21403,plain,
% 6.38/5.04 (~m_main_v_state1(s266, c_t1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21402, 289, 21399])).
% 6.38/5.04 tff(21404,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s266, c_t1) | (~node5(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s266, c_t1) | (~node5(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21405,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s266, c_t1) | (~node5(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21406,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s266, c_t1) | (~node5(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21405, 21404])).
% 6.38/5.04 tff(21407,plain,
% 6.38/5.04 (~node5(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21406, 300, 21403])).
% 6.38/5.04 tff(21408,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s265, s266)) | node14(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s265, s266)) | node14(s265, s266))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21409,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s265, s266)) | node14(s265, s266))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21410,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s265, s266)) | node14(s265, s266)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 6.38/5.04 tff(21411,plain,
% 6.38/5.04 (node14(s265, s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21410, 130, 21387])).
% 6.38/5.04 tff(21412,plain,
% 6.38/5.04 (((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, 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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21413,plain,
% 6.38/5.04 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21414,plain,
% 6.38/5.04 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | (~node14(s265, s266)) | m_main_v_state2(s266, c_t2)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 6.38/5.04 tff(21415,plain,
% 6.38/5.04 ((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_state2(s266, c_t2)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21414, 893, 21411])).
% 6.38/5.04 tff(21416,plain,
% 6.38/5.04 (m_main_v_state2(s266, c_t2)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21415, 21372, 21304])).
% 6.38/5.04 tff(21417,plain,
% 6.38/5.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21418,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21419,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s266, c_n2)) | (~m_main_v_state2(s266, c_t2))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 6.38/5.04 tff(21420,plain,
% 6.38/5.04 (~m_main_v_state2(s266, c_n2)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21419, 10, 21416])).
% 6.38/5.04 tff(21421,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s266, c_n2) | (~node4(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s266, c_n2) | (~node4(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21422,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s266, c_n2) | (~node4(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21423,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s266, c_n2) | (~node4(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 6.38/5.04 tff(21424,plain,
% 6.38/5.04 (~node4(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21423, 162, 21420])).
% 6.38/5.04 tff(21425,plain,
% 6.38/5.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21426,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21427,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s266, c_t2)) | (~m_main_v_state2(s266, c_c2))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 6.38/5.04 tff(21428,plain,
% 6.38/5.04 (~m_main_v_state2(s266, c_c2)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21427, 173, 21416])).
% 6.38/5.04 tff(21429,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s266, c_c2) | (~node3(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s266, c_c2) | (~node3(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21430,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s266, c_c2) | (~node3(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21431,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s266, c_c2) | (~node3(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 6.38/5.04 tff(21432,plain,
% 6.38/5.04 (~node3(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21431, 184, 21428])).
% 6.38/5.04 tff(21433,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s266, c_n2) | (~node2(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s266, c_n2) | (~node2(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21434,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s266, c_n2) | (~node2(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21435,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s266, c_n2) | (~node2(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 6.38/5.04 tff(21436,plain,
% 6.38/5.04 (~node2(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21435, 195, 21420])).
% 6.38/5.04 tff(21437,plain,
% 6.38/5.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21438,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21439,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s266, c_n1)) | (~m_main_v_state1(s266, c_c1))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 6.38/5.04 tff(21440,plain,
% 6.38/5.04 (~m_main_v_state1(s266, c_n1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21439, 449, 21399])).
% 6.38/5.04 tff(21441,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s266, c_n1) | (~node1(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s266, c_n1) | (~node1(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21442,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s266, c_n1) | (~node1(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21443,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s266, c_n1) | (~node1(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21442, 21441])).
% 6.38/5.04 tff(21444,plain,
% 6.38/5.04 (~node1(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21443, 249, 21440])).
% 6.38/5.04 tff(21445,plain,
% 6.38/5.04 (succ(s266, s267) <=> succ(s266, s267)),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21446,axiom,(succ(s266, s267)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound267')).
% 6.38/5.04 tff(21447,plain,
% 6.38/5.04 (succ(s266, s267)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21446, 21445])).
% 6.38/5.04 tff(21448,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21449,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21450,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 6.38/5.04 tff(21451,plain,
% 6.38/5.04 (trans(s266, s267)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21450, 21447, 57])).
% 6.38/5.04 tff(21452,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s266, s267)) | node7(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s266, s267)) | node7(s266, s267))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21453,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s266, s267)) | node7(s266, s267))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21454,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s266, s267)) | node7(s266, s267)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 6.38/5.04 tff(21455,plain,
% 6.38/5.04 (node7(s266, s267)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21454, 217, 21451])).
% 6.38/5.04 tff(21456,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21457,plain,
% 6.38/5.04 (((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1)) <=> (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21458,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, 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(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267))))),
% 6.38/5.04 inference(monotonicity,[status(thm)],[21457])).
% 6.38/5.04 tff(21459,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, 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(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)))),
% 6.38/5.04 inference(transitivity,[status(thm)],[21458, 21456])).
% 6.38/5.04 tff(21460,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267)) | m_main_v_state1(s267, c_n1))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21461,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266) | (~node7(s266, s267))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 6.38/5.04 tff(21462,plain,
% 6.38/5.04 (m_main_v_state1(s267, c_n1) | (~m_main_v_state1(s266, c_c1)) | node1(s266) | node2(s266) | node3(s266) | node4(s266) | node5(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21461, 478, 21455])).
% 6.38/5.04 tff(21463,plain,
% 6.38/5.04 (m_main_v_state1(s267, c_n1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21462, 21444, 21399, 21436, 21432, 21424, 21407])).
% 6.38/5.04 tff(21464,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s265, c_t2) | (~node15(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s265, c_t2) | (~node15(s265)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21465,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s265, c_t2) | (~node15(s265)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21466,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s265, c_t2) | (~node15(s265))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21465, 21464])).
% 6.38/5.04 tff(21467,plain,
% 6.38/5.04 (~node15(s265)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21466, 21, 21376])).
% 6.38/5.04 tff(21468,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s265, s266)) | node18(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s265, s266)) | node18(s265, s266))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21469,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s265, s266)) | node18(s265, s266))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21470,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s265, s266)) | node18(s265, s266)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 6.38/5.04 tff(21471,plain,
% 6.38/5.04 (node18(s265, s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21470, 71, 21387])).
% 6.38/5.04 tff(21472,plain,
% 6.38/5.04 (((~![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(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, 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(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21473,plain,
% 6.38/5.04 (((~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1)) <=> (node15(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21474,plain,
% 6.38/5.04 (((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, 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(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)))),
% 6.38/5.04 inference(monotonicity,[status(thm)],[21473])).
% 6.38/5.04 tff(21475,plain,
% 6.38/5.04 (((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, 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(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1))),
% 6.38/5.04 inference(transitivity,[status(thm)],[21474, 21472])).
% 6.38/5.04 tff(21476,plain,
% 6.38/5.04 ((~![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(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | node15(s265) | (~node18(s265, s266)) | m_main_v_turn(s266, c_1))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21477,plain,
% 6.38/5.04 ((~![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(s265) | (~node18(s265, s266)) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21476, 21475])).
% 6.38/5.04 tff(21478,plain,
% 6.38/5.04 (node15(s265) | (~m_main_v_state1(s265, c_t1)) | (~m_main_v_state2(s265, c_n2)) | m_main_v_turn(s266, c_1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21477, 863, 21471])).
% 6.38/5.04 tff(21479,plain,
% 6.38/5.04 (m_main_v_turn(s266, c_1)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21478, 21467, 21304, 21372])).
% 6.38/5.04 tff(21480,plain,
% 6.38/5.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21481,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21482,plain,
% 6.38/5.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s266, c_1)) | (~m_main_v_turn(s266, c_2))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21481, 21480])).
% 6.38/5.04 tff(21483,plain,
% 6.38/5.04 (~m_main_v_turn(s266, c_2)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21482, 322, 21479])).
% 6.38/5.04 tff(21484,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s266, c_2) | (~node12(s266)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s266, c_2) | (~node12(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21485,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s266, c_2) | (~node12(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21486,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s266, c_2) | (~node12(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 6.38/5.04 tff(21487,plain,
% 6.38/5.04 (~node12(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21486, 350, 21483])).
% 6.38/5.04 tff(21488,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s266, c_n2) | (~node8(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s266, c_n2) | (~node8(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21489,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s266, c_n2) | (~node8(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21490,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s266, c_n2) | (~node8(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 6.38/5.04 tff(21491,plain,
% 6.38/5.04 (~node8(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21490, 383, 21420])).
% 6.38/5.04 tff(21492,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s266, c_n2) | (~node9(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s266, c_n2) | (~node9(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21493,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s266, c_n2) | (~node9(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21494,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s266, c_n2) | (~node9(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 6.38/5.04 tff(21495,plain,
% 6.38/5.04 (~node9(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21494, 311, 21420])).
% 6.38/5.04 tff(21496,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s266, c_n2) | (~node10(s266)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s266, c_n2) | (~node10(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21497,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s266, c_n2) | (~node10(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21498,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s266, c_n2) | (~node10(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 6.38/5.04 tff(21499,plain,
% 6.38/5.04 (~node10(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21498, 372, 21420])).
% 6.38/5.04 tff(21500,plain,
% 6.38/5.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s266, c_n1) | (~node11(s266)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s266, c_n1) | (~node11(s266)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21501,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s266, c_n1) | (~node11(s266)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21502,plain,
% 6.38/5.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s266, c_n1) | (~node11(s266))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21501, 21500])).
% 6.38/5.04 tff(21503,plain,
% 6.38/5.04 (~node11(s266)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21502, 361, 21440])).
% 6.38/5.04 tff(21504,plain,
% 6.38/5.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s266, s267)) | node14(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s266, s267)) | node14(s266, s267))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21505,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s266, s267)) | node14(s266, s267))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21506,plain,
% 6.38/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s266, s267)) | node14(s266, s267)),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21505, 21504])).
% 6.38/5.04 tff(21507,plain,
% 6.38/5.04 (node14(s266, s267)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21506, 130, 21451])).
% 6.38/5.04 tff(21508,plain,
% 6.38/5.04 (((~![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(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))) <=> ((~![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(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21509,plain,
% 6.38/5.04 ((~![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(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267)))),
% 6.38/5.04 inference(quant_inst,[status(thm)],[])).
% 6.38/5.04 tff(21510,plain,
% 6.38/5.04 ((~![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(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267) | (~node14(s266, s267))),
% 6.38/5.04 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 6.38/5.04 tff(21511,plain,
% 6.38/5.04 (m_main_v_state2(s266, c_c2) | node9(s266) | node8(s266) | node10(s266) | node11(s266) | node12(s266) | node13(s266, s267)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21510, 401, 21507])).
% 6.38/5.04 tff(21512,plain,
% 6.38/5.04 (node13(s266, s267)),
% 6.38/5.04 inference(unit_resolution,[status(thm)],[21511, 21503, 21428, 21499, 21495, 21491, 21487])).
% 6.38/5.04 tff(21513,plain,
% 6.38/5.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21514,plain,
% 6.38/5.04 (((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2)) <=> ((~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 6.38/5.04 inference(rewrite,[status(thm)],[])).
% 6.38/5.04 tff(21515,plain,
% 6.38/5.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, 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(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267))))),
% 6.38/5.04 inference(monotonicity,[status(thm)],[21514])).
% 6.38/5.04 tff(21516,plain,
% 6.38/5.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, 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(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267)))),
% 6.38/5.05 inference(transitivity,[status(thm)],[21515, 21513])).
% 6.38/5.05 tff(21517,plain,
% 6.38/5.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s266, s267)) | (~m_main_v_state2(s266, c_t2)) | m_main_v_state2(s267, c_t2))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21518,plain,
% 6.38/5.05 ((~![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(s266, c_t2)) | m_main_v_state2(s267, c_t2) | (~node13(s266, s267))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21517, 21516])).
% 6.38/5.05 tff(21519,plain,
% 6.38/5.05 (m_main_v_state2(s267, c_t2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21518, 563, 21416, 21512])).
% 6.38/5.05 tff(21520,plain,
% 6.38/5.05 (succ(s267, s268) <=> succ(s267, s268)),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21521,axiom,(succ(s267, s268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound268')).
% 6.38/5.05 tff(21522,plain,
% 6.38/5.05 (succ(s267, s268)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21521, 21520])).
% 6.38/5.05 tff(21523,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21524,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21525,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 6.38/5.05 tff(21526,plain,
% 6.38/5.05 (trans(s267, s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21525, 21522, 57])).
% 6.38/5.05 tff(21527,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s267, s268)) | node7(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s267, s268)) | node7(s267, s268))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21528,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s267, s268)) | node7(s267, s268))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21529,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s267, s268)) | node7(s267, s268)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 6.38/5.05 tff(21530,plain,
% 6.38/5.05 (node7(s267, s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21529, 217, 21526])).
% 6.38/5.05 tff(21531,plain,
% 6.38/5.05 (((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, 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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21532,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21533,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node7(s267, s268)) | m_main_v_state1(s268, c_t1)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 6.38/5.05 tff(21534,plain,
% 6.38/5.05 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_state1(s268, c_t1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21533, 598, 21530])).
% 6.38/5.05 tff(21535,plain,
% 6.38/5.05 (m_main_v_state1(s268, c_t1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21534, 21519, 21463])).
% 6.38/5.05 tff(21536,plain,
% 6.38/5.05 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21537,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21538,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s268, c_n1)) | (~m_main_v_state1(s268, c_t1))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 6.38/5.05 tff(21539,plain,
% 6.38/5.05 (~m_main_v_state1(s268, c_n1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21538, 35, 21535])).
% 6.38/5.05 tff(21540,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s268, c_n1) | (~node1(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s268, c_n1) | (~node1(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21541,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s268, c_n1) | (~node1(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21542,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s268, c_n1) | (~node1(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 6.38/5.05 tff(21543,plain,
% 6.38/5.05 (~node1(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21542, 249, 21539])).
% 6.38/5.05 tff(21544,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s267, s268)) | node18(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s267, s268)) | node18(s267, s268))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21545,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s267, s268)) | node18(s267, s268))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21546,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s267, s268)) | node18(s267, s268)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21545, 21544])).
% 6.38/5.05 tff(21547,plain,
% 6.38/5.05 (node18(s267, s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21546, 71, 21526])).
% 6.38/5.05 tff(21548,plain,
% 6.38/5.05 (((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, 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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21549,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21550,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | (~node18(s267, s268)) | m_main_v_turn(s268, c_2)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 6.38/5.05 tff(21551,plain,
% 6.38/5.05 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | m_main_v_turn(s268, c_2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21550, 625, 21547])).
% 6.38/5.05 tff(21552,plain,
% 6.38/5.05 (m_main_v_turn(s268, c_2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21551, 21519, 21463])).
% 6.38/5.05 tff(21553,plain,
% 6.38/5.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21554,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21555,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s268, c_1)) | (~m_main_v_turn(s268, c_2))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 6.38/5.05 tff(21556,plain,
% 6.38/5.05 (~m_main_v_turn(s268, c_1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21555, 322, 21552])).
% 6.38/5.05 tff(21557,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s268, c_1) | (~node5(s268)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s268, c_1) | (~node5(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21558,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s268, c_1) | (~node5(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21559,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s268, c_1) | (~node5(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 6.38/5.05 tff(21560,plain,
% 6.38/5.05 (~node5(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21559, 641, 21556])).
% 6.38/5.05 tff(21561,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s268, c_n1) | (~node2(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s268, c_n1) | (~node2(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21562,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s268, c_n1) | (~node2(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21563,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s268, c_n1) | (~node2(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21562, 21561])).
% 6.38/5.05 tff(21564,plain,
% 6.38/5.05 (~node2(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21563, 652, 21539])).
% 6.38/5.05 tff(21565,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s268, c_n1) | (~node3(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s268, c_n1) | (~node3(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21566,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s268, c_n1) | (~node3(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21567,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s268, c_n1) | (~node3(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21566, 21565])).
% 6.38/5.05 tff(21568,plain,
% 6.38/5.05 (~node3(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21567, 663, 21539])).
% 6.38/5.05 tff(21569,plain,
% 6.38/5.05 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21570,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21571,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s268, c_t1)) | (~m_main_v_state1(s268, c_c1))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 6.38/5.05 tff(21572,plain,
% 6.38/5.05 (~m_main_v_state1(s268, c_c1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21571, 289, 21535])).
% 6.38/5.05 tff(21573,plain,
% 6.38/5.05 (((~![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(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21574,plain,
% 6.38/5.05 (((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2))) <=> (m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21575,plain,
% 6.38/5.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, 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(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267))))),
% 6.38/5.05 inference(monotonicity,[status(thm)],[21574])).
% 6.38/5.05 tff(21576,plain,
% 6.38/5.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, 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(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267)))),
% 6.38/5.05 inference(transitivity,[status(thm)],[21575, 21573])).
% 6.38/5.05 tff(21577,plain,
% 6.38/5.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s266, s267)) | m_main_v_state2(s266, c_n2) | (~m_main_v_state2(s267, c_n2)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21578,plain,
% 6.38/5.05 ((~![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(s266, c_n2) | (~m_main_v_state2(s267, c_n2)) | (~node13(s266, s267))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 6.38/5.05 tff(21579,plain,
% 6.38/5.05 (~m_main_v_state2(s267, c_n2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21578, 416, 21420, 21512])).
% 6.38/5.05 tff(21580,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s267, c_n2) | (~node9(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s267, c_n2) | (~node9(s267)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21581,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s267, c_n2) | (~node9(s267)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21582,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s267, c_n2) | (~node9(s267))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 6.38/5.05 tff(21583,plain,
% 6.38/5.05 (~node9(s267)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21582, 311, 21579])).
% 6.38/5.05 tff(21584,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s267, c_n2) | (~node10(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s267, c_n2) | (~node10(s267)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21585,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s267, c_n2) | (~node10(s267)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21586,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s267, c_n2) | (~node10(s267))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 6.38/5.05 tff(21587,plain,
% 6.38/5.05 (~node10(s267)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21586, 372, 21579])).
% 6.38/5.05 tff(21588,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s267, c_n2) | (~node8(s267)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s267, c_n2) | (~node8(s267)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21589,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s267, c_n2) | (~node8(s267)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21590,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s267, c_n2) | (~node8(s267))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 6.38/5.05 tff(21591,plain,
% 6.38/5.05 (~node8(s267)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21590, 383, 21579])).
% 6.38/5.05 tff(21592,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s267, s268)) | node14(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s267, s268)) | node14(s267, s268))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21593,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s267, s268)) | node14(s267, s268))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21594,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s267, s268)) | node14(s267, s268)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 6.38/5.05 tff(21595,plain,
% 6.38/5.05 (node14(s267, s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21594, 130, 21526])).
% 6.38/5.05 tff(21596,plain,
% 6.38/5.05 (((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, 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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21597,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21598,plain,
% 6.38/5.05 ((~![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(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | (~node14(s267, s268)) | m_main_v_state2(s268, c_c2)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21597, 21596])).
% 6.38/5.05 tff(21599,plain,
% 6.38/5.05 ((~m_main_v_state1(s267, c_n1)) | (~m_main_v_state2(s267, c_t2)) | node9(s267) | node8(s267) | node10(s267) | m_main_v_state2(s268, c_c2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21598, 704, 21595])).
% 6.38/5.05 tff(21600,plain,
% 6.38/5.05 (m_main_v_state2(s268, c_c2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21599, 21591, 21463, 21519, 21587, 21583])).
% 6.38/5.05 tff(21601,plain,
% 6.38/5.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21602,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21603,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_n2)) | (~m_main_v_state2(s268, c_c2))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 6.38/5.05 tff(21604,plain,
% 6.38/5.05 (~m_main_v_state2(s268, c_n2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21603, 716, 21600])).
% 6.38/5.05 tff(21605,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s268, c_n2) | (~node4(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s268, c_n2) | (~node4(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21606,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s268, c_n2) | (~node4(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21607,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s268, c_n2) | (~node4(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21606, 21605])).
% 6.38/5.05 tff(21608,plain,
% 6.38/5.05 (~node4(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21607, 162, 21604])).
% 6.38/5.05 tff(21609,plain,
% 6.38/5.05 (succ(s268, s269) <=> succ(s268, s269)),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21610,axiom,(succ(s268, s269)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound269')).
% 6.38/5.05 tff(21611,plain,
% 6.38/5.05 (succ(s268, s269)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 6.38/5.05 tff(21612,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21613,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21614,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21613, 21612])).
% 6.38/5.05 tff(21615,plain,
% 6.38/5.05 (trans(s268, s269)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21614, 21611, 57])).
% 6.38/5.05 tff(21616,plain,
% 6.38/5.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s268, s269)) | node7(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s268, s269)) | node7(s268, s269))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21617,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s268, s269)) | node7(s268, s269))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21618,plain,
% 6.38/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s268, s269)) | node7(s268, s269)),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 6.38/5.05 tff(21619,plain,
% 6.38/5.05 (node7(s268, s269)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21618, 217, 21615])).
% 6.38/5.05 tff(21620,plain,
% 6.38/5.05 (((~![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(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))) <=> ((~![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(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21621,plain,
% 6.38/5.05 ((~![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(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21622,plain,
% 6.38/5.05 ((~![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(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269) | (~node7(s268, s269))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21621, 21620])).
% 6.38/5.05 tff(21623,plain,
% 6.38/5.05 (m_main_v_state1(s268, c_c1) | node1(s268) | node2(s268) | node3(s268) | node4(s268) | node5(s268) | node6(s268, s269)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21622, 745, 21619])).
% 6.38/5.05 tff(21624,plain,
% 6.38/5.05 (node6(s268, s269)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21623, 21608, 21572, 21568, 21564, 21560, 21543])).
% 6.38/5.05 tff(21625,plain,
% 6.38/5.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21626,plain,
% 6.38/5.05 (((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1)) <=> ((~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21627,plain,
% 6.38/5.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, 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(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269))))),
% 6.38/5.05 inference(monotonicity,[status(thm)],[21626])).
% 6.38/5.05 tff(21628,plain,
% 6.38/5.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, 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(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269)))),
% 6.38/5.05 inference(transitivity,[status(thm)],[21627, 21625])).
% 6.38/5.05 tff(21629,plain,
% 6.38/5.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s268, s269)) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21630,plain,
% 6.38/5.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s268, c_t1)) | m_main_v_state1(s269, c_t1) | (~node6(s268, s269))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 6.38/5.05 tff(21631,plain,
% 6.38/5.05 (m_main_v_state1(s269, c_t1)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21630, 760, 21535, 21624])).
% 6.38/5.05 tff(21632,plain,
% 6.38/5.05 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21633,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21634,plain,
% 6.38/5.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s268, c_t2)) | (~m_main_v_state2(s268, c_c2))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21633, 21632])).
% 6.38/5.05 tff(21635,plain,
% 6.38/5.05 (~m_main_v_state2(s268, c_t2)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21634, 173, 21600])).
% 6.38/5.05 tff(21636,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s268, c_t2) | (~node12(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s268, c_t2) | (~node12(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21637,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s268, c_t2) | (~node12(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21638,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s268, c_t2) | (~node12(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21637, 21636])).
% 6.38/5.05 tff(21639,plain,
% 6.38/5.05 (~node12(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21638, 778, 21635])).
% 6.38/5.05 tff(21640,plain,
% 6.38/5.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s268, c_n1) | (~node11(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s268, c_n1) | (~node11(s268)))),
% 6.38/5.05 inference(rewrite,[status(thm)],[])).
% 6.38/5.05 tff(21641,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s268, c_n1) | (~node11(s268)))),
% 6.38/5.05 inference(quant_inst,[status(thm)],[])).
% 6.38/5.05 tff(21642,plain,
% 6.38/5.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s268, c_n1) | (~node11(s268))),
% 6.38/5.05 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 6.38/5.05 tff(21643,plain,
% 6.38/5.05 (~node11(s268)),
% 6.38/5.05 inference(unit_resolution,[status(thm)],[21642, 361, 21539])).
% 6.38/5.06 tff(21644,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s268, c_c1) | (~node10(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s268, c_c1) | (~node10(s268)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21645,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s268, c_c1) | (~node10(s268)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21646,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s268, c_c1) | (~node10(s268))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21645, 21644])).
% 6.38/5.06 tff(21647,plain,
% 6.38/5.06 (~node10(s268)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21646, 793, 21572])).
% 6.38/5.06 tff(21648,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s268, c_n1) | (~node9(s268)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s268, c_n1) | (~node9(s268)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21649,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s268, c_n1) | (~node9(s268)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21650,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s268, c_n1) | (~node9(s268))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 6.38/5.06 tff(21651,plain,
% 6.38/5.06 (~node9(s268)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21650, 804, 21539])).
% 6.38/5.06 tff(21652,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s268, c_n2) | (~node8(s268)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s268, c_n2) | (~node8(s268)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21653,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s268, c_n2) | (~node8(s268)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21654,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s268, c_n2) | (~node8(s268))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 6.38/5.06 tff(21655,plain,
% 6.38/5.06 (~node8(s268)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21654, 383, 21604])).
% 6.38/5.06 tff(21656,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s268, s269)) | node14(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s268, s269)) | node14(s268, s269))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21657,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s268, s269)) | node14(s268, s269))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21658,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s268, s269)) | node14(s268, s269)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 6.38/5.06 tff(21659,plain,
% 6.38/5.06 (node14(s268, s269)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21658, 130, 21615])).
% 6.38/5.06 tff(21660,plain,
% 6.38/5.06 (((~![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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, 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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21661,plain,
% 6.38/5.06 (((~m_main_v_state2(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2)) <=> (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21662,plain,
% 6.38/5.06 (((~![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(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, 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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2))))),
% 6.38/5.06 inference(monotonicity,[status(thm)],[21661])).
% 6.38/5.06 tff(21663,plain,
% 6.38/5.06 (((~![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(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, 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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2)))),
% 6.38/5.06 inference(transitivity,[status(thm)],[21662, 21660])).
% 6.38/5.06 tff(21664,plain,
% 6.38/5.06 ((~![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(s268, c_c2)) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | m_main_v_state2(s269, c_n2))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21665,plain,
% 6.38/5.06 ((~![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(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~node14(s268, s269)) | (~m_main_v_state2(s268, c_c2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21664, 21663])).
% 6.38/5.06 tff(21666,plain,
% 6.38/5.06 (m_main_v_state2(s269, c_n2) | node9(s268) | node8(s268) | node10(s268) | node11(s268) | node12(s268) | (~m_main_v_state2(s268, c_c2))),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21665, 826, 21659])).
% 6.38/5.06 tff(21667,plain,
% 6.38/5.06 (m_main_v_state2(s269, c_n2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21666, 21655, 21600, 21651, 21647, 21643, 21639])).
% 6.38/5.06 tff(21668,plain,
% 6.38/5.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21669,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21670,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_t2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 6.38/5.06 tff(21671,plain,
% 6.38/5.06 (~m_main_v_state2(s269, c_t2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21670, 10, 21667])).
% 6.38/5.06 tff(21672,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s269, c_t2) | (~node15(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s269, c_t2) | (~node15(s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21673,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s269, c_t2) | (~node15(s269)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21674,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s269, c_t2) | (~node15(s269))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 6.38/5.06 tff(21675,plain,
% 6.38/5.06 (~node15(s269)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21674, 21, 21671])).
% 6.38/5.06 tff(21676,plain,
% 6.38/5.06 (succ(s269, s270) <=> succ(s269, s270)),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21677,axiom,(succ(s269, s270)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound270')).
% 6.38/5.06 tff(21678,plain,
% 6.38/5.06 (succ(s269, s270)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21677, 21676])).
% 6.38/5.06 tff(21679,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21680,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21681,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 6.38/5.06 tff(21682,plain,
% 6.38/5.06 (trans(s269, s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21681, 21678, 57])).
% 6.38/5.06 tff(21683,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s269, s270)) | node18(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s269, s270)) | node18(s269, s270))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21684,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s269, s270)) | node18(s269, s270))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21685,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s269, s270)) | node18(s269, s270)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 6.38/5.06 tff(21686,plain,
% 6.38/5.06 (node18(s269, s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21685, 71, 21682])).
% 6.38/5.06 tff(21687,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~m_main_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(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, 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(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21688,plain,
% 6.38/5.06 (((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1)) <=> (node15(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21689,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~m_main_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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, 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(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)))),
% 6.38/5.06 inference(monotonicity,[status(thm)],[21688])).
% 6.38/5.06 tff(21690,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~m_main_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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, 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(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1))),
% 6.38/5.06 inference(transitivity,[status(thm)],[21689, 21687])).
% 6.38/5.06 tff(21691,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~m_main_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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node15(s269) | (~node18(s269, s270)) | m_main_v_turn(s270, c_1))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21692,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~m_main_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(s269) | (~node18(s269, s270)) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21691, 21690])).
% 6.38/5.06 tff(21693,plain,
% 6.38/5.06 (node15(s269) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_turn(s270, c_1)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21692, 863, 21686])).
% 6.38/5.06 tff(21694,plain,
% 6.38/5.06 (m_main_v_turn(s270, c_1)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21693, 21675, 21667, 21631])).
% 6.38/5.06 tff(21695,plain,
% 6.38/5.06 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21696,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21697,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s270, c_1)) | (~m_main_v_turn(s270, c_2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 6.38/5.06 tff(21698,plain,
% 6.38/5.06 (~m_main_v_turn(s270, c_2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21697, 322, 21694])).
% 6.38/5.06 tff(21699,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s270, c_2) | (~node12(s270)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s270, c_2) | (~node12(s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21700,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s270, c_2) | (~node12(s270)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21701,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s270, c_2) | (~node12(s270))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 6.38/5.06 tff(21702,plain,
% 6.38/5.06 (~node12(s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21701, 350, 21698])).
% 6.38/5.06 tff(21703,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s269, s270)) | node14(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s269, s270)) | node14(s269, s270))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21704,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s269, s270)) | node14(s269, s270))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21705,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s269, s270)) | node14(s269, s270)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 6.38/5.06 tff(21706,plain,
% 6.38/5.06 (node14(s269, s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21705, 130, 21682])).
% 6.38/5.06 tff(21707,plain,
% 6.38/5.06 (((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, 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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21708,plain,
% 6.38/5.06 ((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21709,plain,
% 6.38/5.06 ((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | (~node14(s269, s270)) | m_main_v_state2(s270, c_t2)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 6.38/5.06 tff(21710,plain,
% 6.38/5.06 ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state2(s270, c_t2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21709, 893, 21706])).
% 6.38/5.06 tff(21711,plain,
% 6.38/5.06 (m_main_v_state2(s270, c_t2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21710, 21631, 21667])).
% 6.38/5.06 tff(21712,plain,
% 6.38/5.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21713,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21714,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s270, c_n2)) | (~m_main_v_state2(s270, c_t2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 6.38/5.06 tff(21715,plain,
% 6.38/5.06 (~m_main_v_state2(s270, c_n2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21714, 10, 21711])).
% 6.38/5.06 tff(21716,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s270, c_n2) | (~node8(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s270, c_n2) | (~node8(s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21717,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s270, c_n2) | (~node8(s270)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21718,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s270, c_n2) | (~node8(s270))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 6.38/5.06 tff(21719,plain,
% 6.38/5.06 (~node8(s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21718, 383, 21715])).
% 6.38/5.06 tff(21720,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s270, c_n2) | (~node9(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s270, c_n2) | (~node9(s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21721,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s270, c_n2) | (~node9(s270)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21722,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s270, c_n2) | (~node9(s270))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 6.38/5.06 tff(21723,plain,
% 6.38/5.06 (~node9(s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21722, 311, 21715])).
% 6.38/5.06 tff(21724,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s270, c_n2) | (~node10(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s270, c_n2) | (~node10(s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21725,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s270, c_n2) | (~node10(s270)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21726,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s270, c_n2) | (~node10(s270))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21725, 21724])).
% 6.38/5.06 tff(21727,plain,
% 6.38/5.06 (~node10(s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21726, 372, 21715])).
% 6.38/5.06 tff(21728,plain,
% 6.38/5.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21729,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21730,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s270, c_t2)) | (~m_main_v_state2(s270, c_c2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 6.38/5.06 tff(21731,plain,
% 6.38/5.06 (~m_main_v_state2(s270, c_c2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21730, 173, 21711])).
% 6.38/5.06 tff(21732,plain,
% 6.38/5.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21733,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21734,plain,
% 6.38/5.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s269, c_n2)) | (~m_main_v_state2(s269, c_c2))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 6.38/5.06 tff(21735,plain,
% 6.38/5.06 (~m_main_v_state2(s269, c_c2)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21734, 716, 21667])).
% 6.38/5.06 tff(21736,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s269, c_c2) | (~node3(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s269, c_c2) | (~node3(s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21737,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s269, c_c2) | (~node3(s269)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21738,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s269, c_c2) | (~node3(s269))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 6.38/5.06 tff(21739,plain,
% 6.38/5.06 (~node3(s269)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21738, 184, 21735])).
% 6.38/5.06 tff(21740,plain,
% 6.38/5.06 (((~![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(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21741,plain,
% 6.38/5.06 (((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1))) <=> (m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21742,plain,
% 6.38/5.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, 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(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269))))),
% 6.38/5.06 inference(monotonicity,[status(thm)],[21741])).
% 6.38/5.06 tff(21743,plain,
% 6.38/5.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, 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(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269)))),
% 6.38/5.06 inference(transitivity,[status(thm)],[21742, 21740])).
% 6.38/5.06 tff(21744,plain,
% 6.38/5.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s268, s269)) | m_main_v_state1(s268, c_n1) | (~m_main_v_state1(s269, c_n1)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21745,plain,
% 6.38/5.06 ((~![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(s268, c_n1) | (~m_main_v_state1(s269, c_n1)) | (~node6(s268, s269))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 6.38/5.06 tff(21746,plain,
% 6.38/5.06 (~m_main_v_state1(s269, c_n1)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21745, 936, 21539, 21624])).
% 6.38/5.06 tff(21747,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s269, c_n1) | (~node2(s269)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s269, c_n1) | (~node2(s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21748,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s269, c_n1) | (~node2(s269)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21749,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s269, c_n1) | (~node2(s269))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 6.38/5.06 tff(21750,plain,
% 6.38/5.06 (~node2(s269)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21749, 652, 21746])).
% 6.38/5.06 tff(21751,plain,
% 6.38/5.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s269, c_t2) | (~node1(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s269, c_t2) | (~node1(s269)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21752,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s269, c_t2) | (~node1(s269)))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21753,plain,
% 6.38/5.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s269, c_t2) | (~node1(s269))),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21752, 21751])).
% 6.38/5.06 tff(21754,plain,
% 6.38/5.06 (~node1(s269)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21753, 206, 21671])).
% 6.38/5.06 tff(21755,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s269, s270)) | node7(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s269, s270)) | node7(s269, s270))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21756,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s269, s270)) | node7(s269, s270))),
% 6.38/5.06 inference(quant_inst,[status(thm)],[])).
% 6.38/5.06 tff(21757,plain,
% 6.38/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s269, s270)) | node7(s269, s270)),
% 6.38/5.06 inference(modus_ponens,[status(thm)],[21756, 21755])).
% 6.38/5.06 tff(21758,plain,
% 6.38/5.06 (node7(s269, s270)),
% 6.38/5.06 inference(unit_resolution,[status(thm)],[21757, 217, 21682])).
% 6.38/5.06 tff(21759,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21760,plain,
% 6.38/5.06 (((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1)) <=> ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 6.38/5.06 inference(rewrite,[status(thm)],[])).
% 6.38/5.06 tff(21761,plain,
% 6.38/5.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, 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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270))))),
% 6.38/5.07 inference(monotonicity,[status(thm)],[21760])).
% 6.38/5.07 tff(21762,plain,
% 6.38/5.07 (((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, 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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)))),
% 6.38/5.07 inference(transitivity,[status(thm)],[21761, 21759])).
% 6.38/5.07 tff(21763,plain,
% 6.38/5.07 ((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270)) | m_main_v_state1(s270, c_c1))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21764,plain,
% 6.38/5.07 ((~![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(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269) | (~node7(s269, s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 6.38/5.07 tff(21765,plain,
% 6.38/5.07 ((~m_main_v_state1(s269, c_t1)) | (~m_main_v_state2(s269, c_n2)) | m_main_v_state1(s270, c_c1) | node1(s269) | node2(s269) | node3(s269)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21764, 965, 21758])).
% 6.38/5.07 tff(21766,plain,
% 6.38/5.07 (m_main_v_state1(s270, c_c1)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21765, 21754, 21667, 21631, 21750, 21739])).
% 6.38/5.07 tff(21767,plain,
% 6.38/5.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21768,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21769,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_n1)) | (~m_main_v_state1(s270, c_c1))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 6.38/5.07 tff(21770,plain,
% 6.38/5.07 (~m_main_v_state1(s270, c_n1)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21769, 449, 21766])).
% 6.38/5.07 tff(21771,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s270, c_n1) | (~node11(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s270, c_n1) | (~node11(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21772,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s270, c_n1) | (~node11(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21773,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s270, c_n1) | (~node11(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21772, 21771])).
% 6.38/5.07 tff(21774,plain,
% 6.38/5.07 (~node11(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21773, 361, 21770])).
% 6.38/5.07 tff(21775,plain,
% 6.38/5.07 (succ(s270, s271) <=> succ(s270, s271)),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21776,axiom,(succ(s270, s271)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound271')).
% 6.38/5.07 tff(21777,plain,
% 6.38/5.07 (succ(s270, s271)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21776, 21775])).
% 6.38/5.07 tff(21778,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21779,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21780,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21779, 21778])).
% 6.38/5.07 tff(21781,plain,
% 6.38/5.07 (trans(s270, s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21780, 21777, 57])).
% 6.38/5.07 tff(21782,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s270, s271)) | node14(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s270, s271)) | node14(s270, s271))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21783,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s270, s271)) | node14(s270, s271))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21784,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s270, s271)) | node14(s270, s271)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 6.38/5.07 tff(21785,plain,
% 6.38/5.07 (node14(s270, s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21784, 130, 21781])).
% 6.38/5.07 tff(21786,plain,
% 6.38/5.07 (((~![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(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))) <=> ((~![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(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21787,plain,
% 6.38/5.07 ((~![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(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21788,plain,
% 6.38/5.07 ((~![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(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271) | (~node14(s270, s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 6.38/5.07 tff(21789,plain,
% 6.38/5.07 (m_main_v_state2(s270, c_c2) | node9(s270) | node8(s270) | node10(s270) | node11(s270) | node12(s270) | node13(s270, s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21788, 401, 21785])).
% 6.38/5.07 tff(21790,plain,
% 6.38/5.07 (node13(s270, s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21789, 21774, 21731, 21727, 21723, 21719, 21702])).
% 6.38/5.07 tff(21791,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21792,plain,
% 6.38/5.07 (((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2))) <=> (m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21793,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, 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(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271))))),
% 6.38/5.07 inference(monotonicity,[status(thm)],[21792])).
% 6.38/5.07 tff(21794,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, 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(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271)))),
% 6.38/5.07 inference(transitivity,[status(thm)],[21793, 21791])).
% 6.38/5.07 tff(21795,plain,
% 6.38/5.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s270, s271)) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21796,plain,
% 6.38/5.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s270, c_n2) | (~m_main_v_state2(s271, c_n2)) | (~node13(s270, s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21795, 21794])).
% 6.38/5.07 tff(21797,plain,
% 6.38/5.07 (~m_main_v_state2(s271, c_n2)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21796, 416, 21715, 21790])).
% 6.38/5.07 tff(21798,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s271, c_n2) | (~node9(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s271, c_n2) | (~node9(s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21799,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s271, c_n2) | (~node9(s271)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21800,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s271, c_n2) | (~node9(s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21799, 21798])).
% 6.38/5.07 tff(21801,plain,
% 6.38/5.07 (~node9(s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21800, 311, 21797])).
% 6.38/5.07 tff(21802,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s271, c_n2) | (~node10(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s271, c_n2) | (~node10(s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21803,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s271, c_n2) | (~node10(s271)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21804,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s271, c_n2) | (~node10(s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 6.38/5.07 tff(21805,plain,
% 6.38/5.07 (~node10(s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21804, 372, 21797])).
% 6.38/5.07 tff(21806,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21807,plain,
% 6.38/5.07 (((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2)) <=> ((~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21808,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, 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(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271))))),
% 6.38/5.07 inference(monotonicity,[status(thm)],[21807])).
% 6.38/5.07 tff(21809,plain,
% 6.38/5.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, 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(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271)))),
% 6.38/5.07 inference(transitivity,[status(thm)],[21808, 21806])).
% 6.38/5.07 tff(21810,plain,
% 6.38/5.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s270, s271)) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21811,plain,
% 6.38/5.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s270, c_t2)) | m_main_v_state2(s271, c_t2) | (~node13(s270, s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21810, 21809])).
% 6.38/5.07 tff(21812,plain,
% 6.38/5.07 (m_main_v_state2(s271, c_t2)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21811, 563, 21711, 21790])).
% 6.38/5.07 tff(21813,plain,
% 6.38/5.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21814,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21815,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s270, c_t1)) | (~m_main_v_state1(s270, c_c1))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 6.38/5.07 tff(21816,plain,
% 6.38/5.07 (~m_main_v_state1(s270, c_t1)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21815, 289, 21766])).
% 6.38/5.07 tff(21817,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s270, c_t1) | (~node5(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s270, c_t1) | (~node5(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21818,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s270, c_t1) | (~node5(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21819,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s270, c_t1) | (~node5(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 6.38/5.07 tff(21820,plain,
% 6.38/5.07 (~node5(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21819, 300, 21816])).
% 6.38/5.07 tff(21821,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s270, c_n2) | (~node4(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s270, c_n2) | (~node4(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21822,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s270, c_n2) | (~node4(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21823,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s270, c_n2) | (~node4(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21822, 21821])).
% 6.38/5.07 tff(21824,plain,
% 6.38/5.07 (~node4(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21823, 162, 21715])).
% 6.38/5.07 tff(21825,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s270, c_c2) | (~node3(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s270, c_c2) | (~node3(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21826,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s270, c_c2) | (~node3(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21827,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s270, c_c2) | (~node3(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 6.38/5.07 tff(21828,plain,
% 6.38/5.07 (~node3(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21827, 184, 21731])).
% 6.38/5.07 tff(21829,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s270, c_n2) | (~node2(s270)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s270, c_n2) | (~node2(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21830,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s270, c_n2) | (~node2(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21831,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s270, c_n2) | (~node2(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21830, 21829])).
% 6.38/5.07 tff(21832,plain,
% 6.38/5.07 (~node2(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21831, 195, 21715])).
% 6.38/5.07 tff(21833,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s270, c_n1) | (~node1(s270)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s270, c_n1) | (~node1(s270)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21834,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s270, c_n1) | (~node1(s270)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21835,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s270, c_n1) | (~node1(s270))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 6.38/5.07 tff(21836,plain,
% 6.38/5.07 (~node1(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21835, 249, 21770])).
% 6.38/5.07 tff(21837,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s270, s271)) | node7(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s270, s271)) | node7(s270, s271))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21838,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s270, s271)) | node7(s270, s271))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21839,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s270, s271)) | node7(s270, s271)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 6.38/5.07 tff(21840,plain,
% 6.38/5.07 (node7(s270, s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21839, 217, 21781])).
% 6.38/5.07 tff(21841,plain,
% 6.38/5.07 (((~![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(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21842,plain,
% 6.38/5.07 (((~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1)) <=> (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21843,plain,
% 6.38/5.07 (((~![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(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, 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(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271))))),
% 6.38/5.07 inference(monotonicity,[status(thm)],[21842])).
% 6.38/5.07 tff(21844,plain,
% 6.38/5.07 (((~![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(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, 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(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)))),
% 6.38/5.07 inference(transitivity,[status(thm)],[21843, 21841])).
% 6.38/5.07 tff(21845,plain,
% 6.38/5.07 ((~![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(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271)) | m_main_v_state1(s271, c_n1))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21846,plain,
% 6.38/5.07 ((~![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(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270) | (~node7(s270, s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21845, 21844])).
% 6.38/5.07 tff(21847,plain,
% 6.38/5.07 (m_main_v_state1(s271, c_n1) | (~m_main_v_state1(s270, c_c1)) | node1(s270) | node2(s270) | node3(s270) | node4(s270) | node5(s270)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21846, 478, 21840])).
% 6.38/5.07 tff(21848,plain,
% 6.38/5.07 (m_main_v_state1(s271, c_n1)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21847, 21836, 21766, 21832, 21828, 21824, 21820])).
% 6.38/5.07 tff(21849,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s271, c_n2) | (~node8(s271)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s271, c_n2) | (~node8(s271)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21850,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s271, c_n2) | (~node8(s271)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21851,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s271, c_n2) | (~node8(s271))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21850, 21849])).
% 6.38/5.07 tff(21852,plain,
% 6.38/5.07 (~node8(s271)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21851, 383, 21797])).
% 6.38/5.07 tff(21853,plain,
% 6.38/5.07 (succ(s271, s272) <=> succ(s271, s272)),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21854,axiom,(succ(s271, s272)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound272')).
% 6.38/5.07 tff(21855,plain,
% 6.38/5.07 (succ(s271, s272)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 6.38/5.07 tff(21856,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21857,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21858,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 6.38/5.07 tff(21859,plain,
% 6.38/5.07 (trans(s271, s272)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21858, 21855, 57])).
% 6.38/5.07 tff(21860,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s271, s272)) | node14(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s271, s272)) | node14(s271, s272))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21861,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s271, s272)) | node14(s271, s272))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21862,plain,
% 6.38/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s271, s272)) | node14(s271, s272)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21861, 21860])).
% 6.38/5.07 tff(21863,plain,
% 6.38/5.07 (node14(s271, s272)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21862, 130, 21859])).
% 6.38/5.07 tff(21864,plain,
% 6.38/5.07 (((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, 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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21865,plain,
% 6.38/5.07 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21866,plain,
% 6.38/5.07 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | (~node14(s271, s272)) | m_main_v_state2(s272, c_c2)),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 6.38/5.07 tff(21867,plain,
% 6.38/5.07 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | node9(s271) | node8(s271) | node10(s271) | m_main_v_state2(s272, c_c2)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21866, 704, 21863])).
% 6.38/5.07 tff(21868,plain,
% 6.38/5.07 (m_main_v_state2(s272, c_c2)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21867, 21852, 21848, 21812, 21805, 21801])).
% 6.38/5.07 tff(21869,plain,
% 6.38/5.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21870,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21871,plain,
% 6.38/5.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_t2)) | (~m_main_v_state2(s272, c_c2))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21870, 21869])).
% 6.38/5.07 tff(21872,plain,
% 6.38/5.07 (~m_main_v_state2(s272, c_t2)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21871, 173, 21868])).
% 6.38/5.07 tff(21873,plain,
% 6.38/5.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s272, c_t2) | (~node12(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s272, c_t2) | (~node12(s272)))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.07 tff(21874,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s272, c_t2) | (~node12(s272)))),
% 6.38/5.07 inference(quant_inst,[status(thm)],[])).
% 6.38/5.07 tff(21875,plain,
% 6.38/5.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s272, c_t2) | (~node12(s272))),
% 6.38/5.07 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 6.38/5.07 tff(21876,plain,
% 6.38/5.07 (~node12(s272)),
% 6.38/5.07 inference(unit_resolution,[status(thm)],[21875, 778, 21872])).
% 6.38/5.07 tff(21877,plain,
% 6.38/5.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s271, s272)) | node7(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s271, s272)) | node7(s271, s272))),
% 6.38/5.07 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21878,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s271, s272)) | node7(s271, s272))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21879,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s271, s272)) | node7(s271, s272)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 6.38/5.08 tff(21880,plain,
% 6.38/5.08 (node7(s271, s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21879, 217, 21859])).
% 6.38/5.08 tff(21881,plain,
% 6.38/5.08 (((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, 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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21882,plain,
% 6.38/5.08 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21883,plain,
% 6.38/5.08 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node7(s271, s272)) | m_main_v_state1(s272, c_t1)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 6.38/5.08 tff(21884,plain,
% 6.38/5.08 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_state1(s272, c_t1)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21883, 598, 21880])).
% 6.38/5.08 tff(21885,plain,
% 6.38/5.08 (m_main_v_state1(s272, c_t1)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21884, 21812, 21848])).
% 6.38/5.08 tff(21886,plain,
% 6.38/5.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21887,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21888,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s272, c_n1)) | (~m_main_v_state1(s272, c_t1))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 6.38/5.08 tff(21889,plain,
% 6.38/5.08 (~m_main_v_state1(s272, c_n1)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21888, 35, 21885])).
% 6.38/5.08 tff(21890,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s272, c_n1) | (~node11(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s272, c_n1) | (~node11(s272)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21891,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s272, c_n1) | (~node11(s272)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21892,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s272, c_n1) | (~node11(s272))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21891, 21890])).
% 6.38/5.08 tff(21893,plain,
% 6.38/5.08 (~node11(s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21892, 361, 21889])).
% 6.38/5.08 tff(21894,plain,
% 6.38/5.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21895,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21896,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s272, c_t1)) | (~m_main_v_state1(s272, c_c1))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21895, 21894])).
% 6.38/5.08 tff(21897,plain,
% 6.38/5.08 (~m_main_v_state1(s272, c_c1)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21896, 289, 21885])).
% 6.38/5.08 tff(21898,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s272, c_c1) | (~node10(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s272, c_c1) | (~node10(s272)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21899,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s272, c_c1) | (~node10(s272)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21900,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s272, c_c1) | (~node10(s272))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 6.38/5.08 tff(21901,plain,
% 6.38/5.08 (~node10(s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21900, 793, 21897])).
% 6.38/5.08 tff(21902,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s272, c_n1) | (~node9(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s272, c_n1) | (~node9(s272)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21903,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s272, c_n1) | (~node9(s272)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21904,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s272, c_n1) | (~node9(s272))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 6.38/5.08 tff(21905,plain,
% 6.38/5.08 (~node9(s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21904, 804, 21889])).
% 6.38/5.08 tff(21906,plain,
% 6.38/5.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21907,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21908,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s272, c_n2)) | (~m_main_v_state2(s272, c_c2))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 6.38/5.08 tff(21909,plain,
% 6.38/5.08 (~m_main_v_state2(s272, c_n2)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21908, 716, 21868])).
% 6.38/5.08 tff(21910,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s272, c_n2) | (~node8(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s272, c_n2) | (~node8(s272)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21911,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s272, c_n2) | (~node8(s272)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21912,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s272, c_n2) | (~node8(s272))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21911, 21910])).
% 6.38/5.08 tff(21913,plain,
% 6.38/5.08 (~node8(s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21912, 383, 21909])).
% 6.38/5.08 tff(21914,plain,
% 6.38/5.08 (succ(s272, s273) <=> succ(s272, s273)),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21915,axiom,(succ(s272, s273)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound273')).
% 6.38/5.08 tff(21916,plain,
% 6.38/5.08 (succ(s272, s273)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 6.38/5.08 tff(21917,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21918,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21919,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 6.38/5.08 tff(21920,plain,
% 6.38/5.08 (trans(s272, s273)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21919, 21916, 57])).
% 6.38/5.08 tff(21921,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s272, s273)) | node14(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s272, s273)) | node14(s272, s273))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21922,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s272, s273)) | node14(s272, s273))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21923,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s272, s273)) | node14(s272, s273)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 6.38/5.08 tff(21924,plain,
% 6.38/5.08 (node14(s272, s273)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21923, 130, 21920])).
% 6.38/5.08 tff(21925,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, 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(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21926,plain,
% 6.38/5.08 (((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2)) <=> (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21927,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, 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(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2))))),
% 6.38/5.08 inference(monotonicity,[status(thm)],[21926])).
% 6.38/5.08 tff(21928,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, 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(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2)))),
% 6.38/5.08 inference(transitivity,[status(thm)],[21927, 21925])).
% 6.38/5.08 tff(21929,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s272, c_c2)) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | m_main_v_state2(s273, c_n2))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21930,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~node14(s272, s273)) | (~m_main_v_state2(s272, c_c2))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21929, 21928])).
% 6.38/5.08 tff(21931,plain,
% 6.38/5.08 (m_main_v_state2(s273, c_n2) | node9(s272) | node8(s272) | node10(s272) | node11(s272) | node12(s272) | (~m_main_v_state2(s272, c_c2))),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21930, 826, 21924])).
% 6.38/5.08 tff(21932,plain,
% 6.38/5.08 (m_main_v_state2(s273, c_n2)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21931, 21913, 21868, 21905, 21901, 21893, 21876])).
% 6.38/5.08 tff(21933,plain,
% 6.38/5.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21934,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21935,plain,
% 6.38/5.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_c2))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21934, 21933])).
% 6.38/5.08 tff(21936,plain,
% 6.38/5.08 (~m_main_v_state2(s273, c_c2)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21935, 716, 21932])).
% 6.38/5.08 tff(21937,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s273, c_c2) | (~node3(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s273, c_c2) | (~node3(s273)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21938,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s273, c_c2) | (~node3(s273)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21939,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s273, c_c2) | (~node3(s273))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 6.38/5.08 tff(21940,plain,
% 6.38/5.08 (~node3(s273)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21939, 184, 21936])).
% 6.38/5.08 tff(21941,plain,
% 6.38/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s272, c_n1) | (~node1(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s272, c_n1) | (~node1(s272)))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21942,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s272, c_n1) | (~node1(s272)))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21943,plain,
% 6.38/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s272, c_n1) | (~node1(s272))),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 6.38/5.08 tff(21944,plain,
% 6.38/5.08 (~node1(s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21943, 249, 21889])).
% 6.38/5.08 tff(21945,plain,
% 6.38/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s271, s272)) | node18(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s271, s272)) | node18(s271, s272))),
% 6.38/5.08 inference(rewrite,[status(thm)],[])).
% 6.38/5.08 tff(21946,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s271, s272)) | node18(s271, s272))),
% 6.38/5.08 inference(quant_inst,[status(thm)],[])).
% 6.38/5.08 tff(21947,plain,
% 6.38/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s271, s272)) | node18(s271, s272)),
% 6.38/5.08 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 6.38/5.08 tff(21948,plain,
% 6.38/5.08 (node18(s271, s272)),
% 6.38/5.08 inference(unit_resolution,[status(thm)],[21947, 71, 21859])).
% 6.38/5.08 tff(21949,plain,
% 6.38/5.08 (((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, 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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21950,plain,
% 6.45/5.08 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21951,plain,
% 6.45/5.08 ((~![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(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | (~node18(s271, s272)) | m_main_v_turn(s272, c_2)),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21950, 21949])).
% 6.45/5.08 tff(21952,plain,
% 6.45/5.08 ((~m_main_v_state1(s271, c_n1)) | (~m_main_v_state2(s271, c_t2)) | m_main_v_turn(s272, c_2)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21951, 625, 21948])).
% 6.45/5.08 tff(21953,plain,
% 6.45/5.08 (m_main_v_turn(s272, c_2)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21952, 21812, 21848])).
% 6.45/5.08 tff(21954,plain,
% 6.45/5.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21955,plain,
% 6.45/5.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21956,plain,
% 6.45/5.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s272, c_1)) | (~m_main_v_turn(s272, c_2))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 6.45/5.08 tff(21957,plain,
% 6.45/5.08 (~m_main_v_turn(s272, c_1)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21956, 322, 21953])).
% 6.45/5.08 tff(21958,plain,
% 6.45/5.08 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s272, c_1) | (~node5(s272)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s272, c_1) | (~node5(s272)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21959,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s272, c_1) | (~node5(s272)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21960,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s272, c_1) | (~node5(s272))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21959, 21958])).
% 6.45/5.08 tff(21961,plain,
% 6.45/5.08 (~node5(s272)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21960, 641, 21957])).
% 6.45/5.08 tff(21962,plain,
% 6.45/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s272, c_n1) | (~node2(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s272, c_n1) | (~node2(s272)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21963,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s272, c_n1) | (~node2(s272)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21964,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s272, c_n1) | (~node2(s272))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21963, 21962])).
% 6.45/5.08 tff(21965,plain,
% 6.45/5.08 (~node2(s272)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21964, 652, 21889])).
% 6.45/5.08 tff(21966,plain,
% 6.45/5.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s272, c_n1) | (~node3(s272)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s272, c_n1) | (~node3(s272)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21967,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s272, c_n1) | (~node3(s272)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21968,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s272, c_n1) | (~node3(s272))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 6.45/5.08 tff(21969,plain,
% 6.45/5.08 (~node3(s272)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21968, 663, 21889])).
% 6.45/5.08 tff(21970,plain,
% 6.45/5.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s272, c_n2) | (~node4(s272)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s272, c_n2) | (~node4(s272)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21971,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s272, c_n2) | (~node4(s272)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21972,plain,
% 6.45/5.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s272, c_n2) | (~node4(s272))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 6.45/5.08 tff(21973,plain,
% 6.45/5.08 (~node4(s272)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21972, 162, 21909])).
% 6.45/5.08 tff(21974,plain,
% 6.45/5.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s272, s273)) | node7(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s272, s273)) | node7(s272, s273))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21975,plain,
% 6.45/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s272, s273)) | node7(s272, s273))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21976,plain,
% 6.45/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s272, s273)) | node7(s272, s273)),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21975, 21974])).
% 6.45/5.08 tff(21977,plain,
% 6.45/5.08 (node7(s272, s273)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21976, 217, 21920])).
% 6.45/5.08 tff(21978,plain,
% 6.45/5.08 (((~![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(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))) <=> ((~![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(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21979,plain,
% 6.45/5.08 ((~![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(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273)))),
% 6.45/5.08 inference(quant_inst,[status(thm)],[])).
% 6.45/5.08 tff(21980,plain,
% 6.45/5.08 ((~![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(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273) | (~node7(s272, s273))),
% 6.45/5.08 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 6.45/5.08 tff(21981,plain,
% 6.45/5.08 (m_main_v_state1(s272, c_c1) | node1(s272) | node2(s272) | node3(s272) | node4(s272) | node5(s272) | node6(s272, s273)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21980, 745, 21977])).
% 6.45/5.08 tff(21982,plain,
% 6.45/5.08 (node6(s272, s273)),
% 6.45/5.08 inference(unit_resolution,[status(thm)],[21981, 21973, 21897, 21969, 21965, 21961, 21944])).
% 6.45/5.08 tff(21983,plain,
% 6.45/5.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 6.45/5.08 inference(rewrite,[status(thm)],[])).
% 6.45/5.08 tff(21984,plain,
% 6.45/5.08 (((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1))) <=> (m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(21985,plain,
% 6.45/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, 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(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273))))),
% 6.45/5.09 inference(monotonicity,[status(thm)],[21984])).
% 6.45/5.09 tff(21986,plain,
% 6.45/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, 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(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273)))),
% 6.45/5.09 inference(transitivity,[status(thm)],[21985, 21983])).
% 6.45/5.09 tff(21987,plain,
% 6.45/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s272, s273)) | m_main_v_state1(s272, c_n1) | (~m_main_v_state1(s273, c_n1)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(21988,plain,
% 6.45/5.09 ((~![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(s272, c_n1) | (~m_main_v_state1(s273, c_n1)) | (~node6(s272, s273))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 6.45/5.09 tff(21989,plain,
% 6.45/5.09 (~m_main_v_state1(s273, c_n1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[21988, 936, 21889, 21982])).
% 6.45/5.09 tff(21990,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s273, c_n1) | (~node2(s273)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s273, c_n1) | (~node2(s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(21991,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s273, c_n1) | (~node2(s273)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(21992,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s273, c_n1) | (~node2(s273))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 6.45/5.09 tff(21993,plain,
% 6.45/5.09 (~node2(s273)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[21992, 652, 21989])).
% 6.45/5.09 tff(21994,plain,
% 6.45/5.09 (((~![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(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(21995,plain,
% 6.45/5.09 (((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1)) <=> ((~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(21996,plain,
% 6.45/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, 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(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273))))),
% 6.45/5.09 inference(monotonicity,[status(thm)],[21995])).
% 6.45/5.09 tff(21997,plain,
% 6.45/5.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, 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(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273)))),
% 6.45/5.09 inference(transitivity,[status(thm)],[21996, 21994])).
% 6.45/5.09 tff(21998,plain,
% 6.45/5.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s272, s273)) | (~m_main_v_state1(s272, c_t1)) | m_main_v_state1(s273, c_t1))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(21999,plain,
% 6.45/5.09 ((~![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(s272, c_t1)) | m_main_v_state1(s273, c_t1) | (~node6(s272, s273))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 6.45/5.09 tff(22000,plain,
% 6.45/5.09 (m_main_v_state1(s273, c_t1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[21999, 760, 21885, 21982])).
% 6.45/5.09 tff(22001,plain,
% 6.45/5.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22002,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22003,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s273, c_n2)) | (~m_main_v_state2(s273, c_t2))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 6.45/5.09 tff(22004,plain,
% 6.45/5.09 (~m_main_v_state2(s273, c_t2)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22003, 10, 21932])).
% 6.45/5.09 tff(22005,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s273, c_t2) | (~node1(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s273, c_t2) | (~node1(s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22006,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s273, c_t2) | (~node1(s273)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22007,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s273, c_t2) | (~node1(s273))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22006, 22005])).
% 6.45/5.09 tff(22008,plain,
% 6.45/5.09 (~node1(s273)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22007, 206, 22004])).
% 6.45/5.09 tff(22009,plain,
% 6.45/5.09 (succ(s273, s274) <=> succ(s273, s274)),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22010,axiom,(succ(s273, s274)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound274')).
% 6.45/5.09 tff(22011,plain,
% 6.45/5.09 (succ(s273, s274)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 6.45/5.09 tff(22012,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22013,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22014,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 6.45/5.09 tff(22015,plain,
% 6.45/5.09 (trans(s273, s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22014, 22011, 57])).
% 6.45/5.09 tff(22016,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s273, s274)) | node7(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s273, s274)) | node7(s273, s274))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22017,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s273, s274)) | node7(s273, s274))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22018,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s273, s274)) | node7(s273, s274)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22017, 22016])).
% 6.45/5.09 tff(22019,plain,
% 6.45/5.09 (node7(s273, s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22018, 217, 22015])).
% 6.45/5.09 tff(22020,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22021,plain,
% 6.45/5.09 (((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1)) <=> ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22022,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, 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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274))))),
% 6.45/5.09 inference(monotonicity,[status(thm)],[22021])).
% 6.45/5.09 tff(22023,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, 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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)))),
% 6.45/5.09 inference(transitivity,[status(thm)],[22022, 22020])).
% 6.45/5.09 tff(22024,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274)) | m_main_v_state1(s274, c_c1))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22025,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273) | (~node7(s273, s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 6.45/5.09 tff(22026,plain,
% 6.45/5.09 ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state1(s274, c_c1) | node1(s273) | node2(s273) | node3(s273)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22025, 965, 22019])).
% 6.45/5.09 tff(22027,plain,
% 6.45/5.09 (m_main_v_state1(s274, c_c1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22026, 22008, 21932, 22000, 21993, 21940])).
% 6.45/5.09 tff(22028,plain,
% 6.45/5.09 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22029,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22030,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_t1)) | (~m_main_v_state1(s274, c_c1))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 6.45/5.09 tff(22031,plain,
% 6.45/5.09 (~m_main_v_state1(s274, c_t1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22030, 289, 22027])).
% 6.45/5.09 tff(22032,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s274, c_t1) | (~node5(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s274, c_t1) | (~node5(s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22033,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s274, c_t1) | (~node5(s274)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22034,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s274, c_t1) | (~node5(s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22033, 22032])).
% 6.45/5.09 tff(22035,plain,
% 6.45/5.09 (~node5(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22034, 300, 22031])).
% 6.45/5.09 tff(22036,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s273, s274)) | node14(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s273, s274)) | node14(s273, s274))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22037,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s273, s274)) | node14(s273, s274))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22038,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s273, s274)) | node14(s273, s274)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 6.45/5.09 tff(22039,plain,
% 6.45/5.09 (node14(s273, s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22038, 130, 22015])).
% 6.45/5.09 tff(22040,plain,
% 6.45/5.09 (((~![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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, 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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22041,plain,
% 6.45/5.09 ((~![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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22042,plain,
% 6.45/5.09 ((~![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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | (~node14(s273, s274)) | m_main_v_state2(s274, c_t2)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 6.45/5.09 tff(22043,plain,
% 6.45/5.09 ((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_state2(s274, c_t2)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22042, 893, 22039])).
% 6.45/5.09 tff(22044,plain,
% 6.45/5.09 (m_main_v_state2(s274, c_t2)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22043, 22000, 21932])).
% 6.45/5.09 tff(22045,plain,
% 6.45/5.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22046,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22047,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s274, c_n2)) | (~m_main_v_state2(s274, c_t2))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 6.45/5.09 tff(22048,plain,
% 6.45/5.09 (~m_main_v_state2(s274, c_n2)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22047, 10, 22044])).
% 6.45/5.09 tff(22049,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s274, c_n2) | (~node4(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s274, c_n2) | (~node4(s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22050,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s274, c_n2) | (~node4(s274)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22051,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s274, c_n2) | (~node4(s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 6.45/5.09 tff(22052,plain,
% 6.45/5.09 (~node4(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22051, 162, 22048])).
% 6.45/5.09 tff(22053,plain,
% 6.45/5.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22054,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22055,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s274, c_t2)) | (~m_main_v_state2(s274, c_c2))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 6.45/5.09 tff(22056,plain,
% 6.45/5.09 (~m_main_v_state2(s274, c_c2)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22055, 173, 22044])).
% 6.45/5.09 tff(22057,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s274, c_c2) | (~node3(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s274, c_c2) | (~node3(s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22058,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s274, c_c2) | (~node3(s274)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22059,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s274, c_c2) | (~node3(s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 6.45/5.09 tff(22060,plain,
% 6.45/5.09 (~node3(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22059, 184, 22056])).
% 6.45/5.09 tff(22061,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s274, c_n2) | (~node2(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s274, c_n2) | (~node2(s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22062,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s274, c_n2) | (~node2(s274)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22063,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s274, c_n2) | (~node2(s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 6.45/5.09 tff(22064,plain,
% 6.45/5.09 (~node2(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22063, 195, 22048])).
% 6.45/5.09 tff(22065,plain,
% 6.45/5.09 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22066,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22067,plain,
% 6.45/5.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s274, c_n1)) | (~m_main_v_state1(s274, c_c1))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 6.45/5.09 tff(22068,plain,
% 6.45/5.09 (~m_main_v_state1(s274, c_n1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22067, 449, 22027])).
% 6.45/5.09 tff(22069,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s274, c_n1) | (~node1(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s274, c_n1) | (~node1(s274)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22070,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s274, c_n1) | (~node1(s274)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22071,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s274, c_n1) | (~node1(s274))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 6.45/5.09 tff(22072,plain,
% 6.45/5.09 (~node1(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22071, 249, 22068])).
% 6.45/5.09 tff(22073,plain,
% 6.45/5.09 (succ(s274, s275) <=> succ(s274, s275)),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22074,axiom,(succ(s274, s275)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound275')).
% 6.45/5.09 tff(22075,plain,
% 6.45/5.09 (succ(s274, s275)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22074, 22073])).
% 6.45/5.09 tff(22076,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22077,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22078,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 6.45/5.09 tff(22079,plain,
% 6.45/5.09 (trans(s274, s275)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22078, 22075, 57])).
% 6.45/5.09 tff(22080,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s274, s275)) | node7(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s274, s275)) | node7(s274, s275))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22081,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s274, s275)) | node7(s274, s275))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22082,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s274, s275)) | node7(s274, s275)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 6.45/5.09 tff(22083,plain,
% 6.45/5.09 (node7(s274, s275)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22082, 217, 22079])).
% 6.45/5.09 tff(22084,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22085,plain,
% 6.45/5.09 (((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1)) <=> (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22086,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, 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(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275))))),
% 6.45/5.09 inference(monotonicity,[status(thm)],[22085])).
% 6.45/5.09 tff(22087,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, 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(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)))),
% 6.45/5.09 inference(transitivity,[status(thm)],[22086, 22084])).
% 6.45/5.09 tff(22088,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275)) | m_main_v_state1(s275, c_n1))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22089,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274) | (~node7(s274, s275))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 6.45/5.09 tff(22090,plain,
% 6.45/5.09 (m_main_v_state1(s275, c_n1) | (~m_main_v_state1(s274, c_c1)) | node1(s274) | node2(s274) | node3(s274) | node4(s274) | node5(s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22089, 478, 22083])).
% 6.45/5.09 tff(22091,plain,
% 6.45/5.09 (m_main_v_state1(s275, c_n1)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22090, 22072, 22027, 22064, 22060, 22052, 22035])).
% 6.45/5.09 tff(22092,plain,
% 6.45/5.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s273, c_t2) | (~node15(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s273, c_t2) | (~node15(s273)))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22093,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s273, c_t2) | (~node15(s273)))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22094,plain,
% 6.45/5.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s273, c_t2) | (~node15(s273))),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 6.45/5.09 tff(22095,plain,
% 6.45/5.09 (~node15(s273)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22094, 21, 22004])).
% 6.45/5.09 tff(22096,plain,
% 6.45/5.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s273, s274)) | node18(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s273, s274)) | node18(s273, s274))),
% 6.45/5.09 inference(rewrite,[status(thm)],[])).
% 6.45/5.09 tff(22097,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s273, s274)) | node18(s273, s274))),
% 6.45/5.09 inference(quant_inst,[status(thm)],[])).
% 6.45/5.09 tff(22098,plain,
% 6.45/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s273, s274)) | node18(s273, s274)),
% 6.45/5.09 inference(modus_ponens,[status(thm)],[22097, 22096])).
% 6.45/5.09 tff(22099,plain,
% 6.45/5.09 (node18(s273, s274)),
% 6.45/5.09 inference(unit_resolution,[status(thm)],[22098, 71, 22015])).
% 6.45/5.09 tff(22100,plain,
% 6.45/5.09 (((~![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(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, 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(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22101,plain,
% 6.45/5.10 (((~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1)) <=> (node15(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22102,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~m_main_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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, 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(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)))),
% 6.45/5.10 inference(monotonicity,[status(thm)],[22101])).
% 6.45/5.10 tff(22103,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~m_main_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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, 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(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1))),
% 6.45/5.10 inference(transitivity,[status(thm)],[22102, 22100])).
% 6.45/5.10 tff(22104,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~m_main_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(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | node15(s273) | (~node18(s273, s274)) | m_main_v_turn(s274, c_1))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22105,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~m_main_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(s273) | (~node18(s273, s274)) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22104, 22103])).
% 6.45/5.10 tff(22106,plain,
% 6.45/5.10 (node15(s273) | (~m_main_v_state1(s273, c_t1)) | (~m_main_v_state2(s273, c_n2)) | m_main_v_turn(s274, c_1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22105, 863, 22099])).
% 6.45/5.10 tff(22107,plain,
% 6.45/5.10 (m_main_v_turn(s274, c_1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22106, 22095, 21932, 22000])).
% 6.45/5.10 tff(22108,plain,
% 6.45/5.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22109,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22110,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s274, c_1)) | (~m_main_v_turn(s274, c_2))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 6.45/5.10 tff(22111,plain,
% 6.45/5.10 (~m_main_v_turn(s274, c_2)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22110, 322, 22107])).
% 6.45/5.10 tff(22112,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s274, c_2) | (~node12(s274)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s274, c_2) | (~node12(s274)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22113,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s274, c_2) | (~node12(s274)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22114,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s274, c_2) | (~node12(s274))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22113, 22112])).
% 6.45/5.10 tff(22115,plain,
% 6.45/5.10 (~node12(s274)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22114, 350, 22111])).
% 6.45/5.10 tff(22116,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s274, c_n2) | (~node8(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s274, c_n2) | (~node8(s274)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22117,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s274, c_n2) | (~node8(s274)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22118,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s274, c_n2) | (~node8(s274))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22117, 22116])).
% 6.45/5.10 tff(22119,plain,
% 6.45/5.10 (~node8(s274)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22118, 383, 22048])).
% 6.45/5.10 tff(22120,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s274, c_n2) | (~node9(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s274, c_n2) | (~node9(s274)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22121,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s274, c_n2) | (~node9(s274)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22122,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s274, c_n2) | (~node9(s274))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22121, 22120])).
% 6.45/5.10 tff(22123,plain,
% 6.45/5.10 (~node9(s274)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22122, 311, 22048])).
% 6.45/5.10 tff(22124,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s274, c_n2) | (~node10(s274)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s274, c_n2) | (~node10(s274)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22125,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s274, c_n2) | (~node10(s274)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22126,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s274, c_n2) | (~node10(s274))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 6.45/5.10 tff(22127,plain,
% 6.45/5.10 (~node10(s274)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22126, 372, 22048])).
% 6.45/5.10 tff(22128,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s274, c_n1) | (~node11(s274)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s274, c_n1) | (~node11(s274)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22129,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s274, c_n1) | (~node11(s274)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22130,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s274, c_n1) | (~node11(s274))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22129, 22128])).
% 6.45/5.10 tff(22131,plain,
% 6.45/5.10 (~node11(s274)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22130, 361, 22068])).
% 6.45/5.10 tff(22132,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s274, s275)) | node14(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s274, s275)) | node14(s274, s275))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22133,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s274, s275)) | node14(s274, s275))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22134,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s274, s275)) | node14(s274, s275)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 6.45/5.10 tff(22135,plain,
% 6.45/5.10 (node14(s274, s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22134, 130, 22079])).
% 6.45/5.10 tff(22136,plain,
% 6.45/5.10 (((~![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(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))) <=> ((~![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(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22137,plain,
% 6.45/5.10 ((~![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(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22138,plain,
% 6.45/5.10 ((~![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(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275) | (~node14(s274, s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 6.45/5.10 tff(22139,plain,
% 6.45/5.10 (m_main_v_state2(s274, c_c2) | node9(s274) | node8(s274) | node10(s274) | node11(s274) | node12(s274) | node13(s274, s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22138, 401, 22135])).
% 6.45/5.10 tff(22140,plain,
% 6.45/5.10 (node13(s274, s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22139, 22131, 22056, 22127, 22123, 22119, 22115])).
% 6.45/5.10 tff(22141,plain,
% 6.45/5.10 (((~![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(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22142,plain,
% 6.45/5.10 (((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2)) <=> ((~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22143,plain,
% 6.45/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, 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(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275))))),
% 6.45/5.10 inference(monotonicity,[status(thm)],[22142])).
% 6.45/5.10 tff(22144,plain,
% 6.45/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, 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(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275)))),
% 6.45/5.10 inference(transitivity,[status(thm)],[22143, 22141])).
% 6.45/5.10 tff(22145,plain,
% 6.45/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s274, s275)) | (~m_main_v_state2(s274, c_t2)) | m_main_v_state2(s275, c_t2))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22146,plain,
% 6.45/5.10 ((~![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(s274, c_t2)) | m_main_v_state2(s275, c_t2) | (~node13(s274, s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 6.45/5.10 tff(22147,plain,
% 6.45/5.10 (m_main_v_state2(s275, c_t2)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22146, 563, 22044, 22140])).
% 6.45/5.10 tff(22148,plain,
% 6.45/5.10 (succ(s275, s276) <=> succ(s275, s276)),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22149,axiom,(succ(s275, s276)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound276')).
% 6.45/5.10 tff(22150,plain,
% 6.45/5.10 (succ(s275, s276)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22149, 22148])).
% 6.45/5.10 tff(22151,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22152,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22153,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 6.45/5.10 tff(22154,plain,
% 6.45/5.10 (trans(s275, s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22153, 22150, 57])).
% 6.45/5.10 tff(22155,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s275, s276)) | node7(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s275, s276)) | node7(s275, s276))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22156,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s275, s276)) | node7(s275, s276))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22157,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s275, s276)) | node7(s275, s276)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 6.45/5.10 tff(22158,plain,
% 6.45/5.10 (node7(s275, s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22157, 217, 22154])).
% 6.45/5.10 tff(22159,plain,
% 6.45/5.10 (((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, 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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22160,plain,
% 6.45/5.10 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22161,plain,
% 6.45/5.10 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node7(s275, s276)) | m_main_v_state1(s276, c_t1)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 6.45/5.10 tff(22162,plain,
% 6.45/5.10 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_state1(s276, c_t1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22161, 598, 22158])).
% 6.45/5.10 tff(22163,plain,
% 6.45/5.10 (m_main_v_state1(s276, c_t1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22162, 22147, 22091])).
% 6.45/5.10 tff(22164,plain,
% 6.45/5.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22165,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22166,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s276, c_n1)) | (~m_main_v_state1(s276, c_t1))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 6.45/5.10 tff(22167,plain,
% 6.45/5.10 (~m_main_v_state1(s276, c_n1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22166, 35, 22163])).
% 6.45/5.10 tff(22168,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s276, c_n1) | (~node1(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s276, c_n1) | (~node1(s276)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22169,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s276, c_n1) | (~node1(s276)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22170,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s276, c_n1) | (~node1(s276))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 6.45/5.10 tff(22171,plain,
% 6.45/5.10 (~node1(s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22170, 249, 22167])).
% 6.45/5.10 tff(22172,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s275, s276)) | node18(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s275, s276)) | node18(s275, s276))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22173,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s275, s276)) | node18(s275, s276))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22174,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s275, s276)) | node18(s275, s276)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 6.45/5.10 tff(22175,plain,
% 6.45/5.10 (node18(s275, s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22174, 71, 22154])).
% 6.45/5.10 tff(22176,plain,
% 6.45/5.10 (((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, 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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22177,plain,
% 6.45/5.10 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22178,plain,
% 6.45/5.10 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | (~node18(s275, s276)) | m_main_v_turn(s276, c_2)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22177, 22176])).
% 6.45/5.10 tff(22179,plain,
% 6.45/5.10 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | m_main_v_turn(s276, c_2)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22178, 625, 22175])).
% 6.45/5.10 tff(22180,plain,
% 6.45/5.10 (m_main_v_turn(s276, c_2)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22179, 22147, 22091])).
% 6.45/5.10 tff(22181,plain,
% 6.45/5.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22182,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22183,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s276, c_1)) | (~m_main_v_turn(s276, c_2))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 6.45/5.10 tff(22184,plain,
% 6.45/5.10 (~m_main_v_turn(s276, c_1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22183, 322, 22180])).
% 6.45/5.10 tff(22185,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s276, c_1) | (~node5(s276)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s276, c_1) | (~node5(s276)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22186,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s276, c_1) | (~node5(s276)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22187,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s276, c_1) | (~node5(s276))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22186, 22185])).
% 6.45/5.10 tff(22188,plain,
% 6.45/5.10 (~node5(s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22187, 641, 22184])).
% 6.45/5.10 tff(22189,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s276, c_n1) | (~node2(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s276, c_n1) | (~node2(s276)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22190,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s276, c_n1) | (~node2(s276)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22191,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s276, c_n1) | (~node2(s276))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 6.45/5.10 tff(22192,plain,
% 6.45/5.10 (~node2(s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22191, 652, 22167])).
% 6.45/5.10 tff(22193,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s276, c_n1) | (~node3(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s276, c_n1) | (~node3(s276)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22194,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s276, c_n1) | (~node3(s276)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22195,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s276, c_n1) | (~node3(s276))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22194, 22193])).
% 6.45/5.10 tff(22196,plain,
% 6.45/5.10 (~node3(s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22195, 663, 22167])).
% 6.45/5.10 tff(22197,plain,
% 6.45/5.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22198,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22199,plain,
% 6.45/5.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s276, c_t1)) | (~m_main_v_state1(s276, c_c1))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 6.45/5.10 tff(22200,plain,
% 6.45/5.10 (~m_main_v_state1(s276, c_c1)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22199, 289, 22163])).
% 6.45/5.10 tff(22201,plain,
% 6.45/5.10 (((~![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(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22202,plain,
% 6.45/5.10 (((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2))) <=> (m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22203,plain,
% 6.45/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, 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(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275))))),
% 6.45/5.10 inference(monotonicity,[status(thm)],[22202])).
% 6.45/5.10 tff(22204,plain,
% 6.45/5.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, 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(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275)))),
% 6.45/5.10 inference(transitivity,[status(thm)],[22203, 22201])).
% 6.45/5.10 tff(22205,plain,
% 6.45/5.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s274, s275)) | m_main_v_state2(s274, c_n2) | (~m_main_v_state2(s275, c_n2)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22206,plain,
% 6.45/5.10 ((~![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(s274, c_n2) | (~m_main_v_state2(s275, c_n2)) | (~node13(s274, s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22205, 22204])).
% 6.45/5.10 tff(22207,plain,
% 6.45/5.10 (~m_main_v_state2(s275, c_n2)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22206, 416, 22048, 22140])).
% 6.45/5.10 tff(22208,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s275, c_n2) | (~node9(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s275, c_n2) | (~node9(s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22209,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s275, c_n2) | (~node9(s275)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22210,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s275, c_n2) | (~node9(s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22209, 22208])).
% 6.45/5.10 tff(22211,plain,
% 6.45/5.10 (~node9(s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22210, 311, 22207])).
% 6.45/5.10 tff(22212,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s275, c_n2) | (~node10(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s275, c_n2) | (~node10(s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22213,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s275, c_n2) | (~node10(s275)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22214,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s275, c_n2) | (~node10(s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22213, 22212])).
% 6.45/5.10 tff(22215,plain,
% 6.45/5.10 (~node10(s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22214, 372, 22207])).
% 6.45/5.10 tff(22216,plain,
% 6.45/5.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s275, c_n2) | (~node8(s275)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s275, c_n2) | (~node8(s275)))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22217,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s275, c_n2) | (~node8(s275)))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22218,plain,
% 6.45/5.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s275, c_n2) | (~node8(s275))),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22217, 22216])).
% 6.45/5.10 tff(22219,plain,
% 6.45/5.10 (~node8(s275)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22218, 383, 22207])).
% 6.45/5.10 tff(22220,plain,
% 6.45/5.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s275, s276)) | node14(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s275, s276)) | node14(s275, s276))),
% 6.45/5.10 inference(rewrite,[status(thm)],[])).
% 6.45/5.10 tff(22221,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s275, s276)) | node14(s275, s276))),
% 6.45/5.10 inference(quant_inst,[status(thm)],[])).
% 6.45/5.10 tff(22222,plain,
% 6.45/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s275, s276)) | node14(s275, s276)),
% 6.45/5.10 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 6.45/5.10 tff(22223,plain,
% 6.45/5.10 (node14(s275, s276)),
% 6.45/5.10 inference(unit_resolution,[status(thm)],[22222, 130, 22154])).
% 6.45/5.10 tff(22224,plain,
% 6.45/5.10 (((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, 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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22225,plain,
% 6.45/5.11 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22226,plain,
% 6.45/5.11 ((~![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(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | (~node14(s275, s276)) | m_main_v_state2(s276, c_c2)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22225, 22224])).
% 6.45/5.11 tff(22227,plain,
% 6.45/5.11 ((~m_main_v_state1(s275, c_n1)) | (~m_main_v_state2(s275, c_t2)) | node9(s275) | node8(s275) | node10(s275) | m_main_v_state2(s276, c_c2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22226, 704, 22223])).
% 6.45/5.11 tff(22228,plain,
% 6.45/5.11 (m_main_v_state2(s276, c_c2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22227, 22219, 22091, 22147, 22215, 22211])).
% 6.45/5.11 tff(22229,plain,
% 6.45/5.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22230,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22231,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_n2)) | (~m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22230, 22229])).
% 6.45/5.11 tff(22232,plain,
% 6.45/5.11 (~m_main_v_state2(s276, c_n2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22231, 716, 22228])).
% 6.45/5.11 tff(22233,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s276, c_n2) | (~node4(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s276, c_n2) | (~node4(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22234,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s276, c_n2) | (~node4(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22235,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s276, c_n2) | (~node4(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 6.45/5.11 tff(22236,plain,
% 6.45/5.11 (~node4(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22235, 162, 22232])).
% 6.45/5.11 tff(22237,plain,
% 6.45/5.11 (succ(s276, s277) <=> succ(s276, s277)),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22238,axiom,(succ(s276, s277)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound277')).
% 6.45/5.11 tff(22239,plain,
% 6.45/5.11 (succ(s276, s277)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22238, 22237])).
% 6.45/5.11 tff(22240,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22241,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22242,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 6.45/5.11 tff(22243,plain,
% 6.45/5.11 (trans(s276, s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22242, 22239, 57])).
% 6.45/5.11 tff(22244,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s276, s277)) | node7(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s276, s277)) | node7(s276, s277))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22245,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s276, s277)) | node7(s276, s277))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22246,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s276, s277)) | node7(s276, s277)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 6.45/5.11 tff(22247,plain,
% 6.45/5.11 (node7(s276, s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22246, 217, 22243])).
% 6.45/5.11 tff(22248,plain,
% 6.45/5.11 (((~![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(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))) <=> ((~![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(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22249,plain,
% 6.45/5.11 ((~![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(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22250,plain,
% 6.45/5.11 ((~![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(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277) | (~node7(s276, s277))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 6.45/5.11 tff(22251,plain,
% 6.45/5.11 (m_main_v_state1(s276, c_c1) | node1(s276) | node2(s276) | node3(s276) | node4(s276) | node5(s276) | node6(s276, s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22250, 745, 22247])).
% 6.45/5.11 tff(22252,plain,
% 6.45/5.11 (node6(s276, s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22251, 22236, 22200, 22196, 22192, 22188, 22171])).
% 6.45/5.11 tff(22253,plain,
% 6.45/5.11 (((~![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(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22254,plain,
% 6.45/5.11 (((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1)) <=> ((~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22255,plain,
% 6.45/5.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, 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(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277))))),
% 6.45/5.11 inference(monotonicity,[status(thm)],[22254])).
% 6.45/5.11 tff(22256,plain,
% 6.45/5.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, 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(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277)))),
% 6.45/5.11 inference(transitivity,[status(thm)],[22255, 22253])).
% 6.45/5.11 tff(22257,plain,
% 6.45/5.11 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s276, s277)) | (~m_main_v_state1(s276, c_t1)) | m_main_v_state1(s277, c_t1))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22258,plain,
% 6.45/5.11 ((~![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(s276, c_t1)) | m_main_v_state1(s277, c_t1) | (~node6(s276, s277))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 6.45/5.11 tff(22259,plain,
% 6.45/5.11 (m_main_v_state1(s277, c_t1)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22258, 760, 22163, 22252])).
% 6.45/5.11 tff(22260,plain,
% 6.45/5.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22261,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22262,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s276, c_t2)) | (~m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22261, 22260])).
% 6.45/5.11 tff(22263,plain,
% 6.45/5.11 (~m_main_v_state2(s276, c_t2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22262, 173, 22228])).
% 6.45/5.11 tff(22264,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s276, c_t2) | (~node12(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s276, c_t2) | (~node12(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22265,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s276, c_t2) | (~node12(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22266,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s276, c_t2) | (~node12(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22265, 22264])).
% 6.45/5.11 tff(22267,plain,
% 6.45/5.11 (~node12(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22266, 778, 22263])).
% 6.45/5.11 tff(22268,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s276, c_n1) | (~node11(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s276, c_n1) | (~node11(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22269,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s276, c_n1) | (~node11(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22270,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s276, c_n1) | (~node11(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22269, 22268])).
% 6.45/5.11 tff(22271,plain,
% 6.45/5.11 (~node11(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22270, 361, 22167])).
% 6.45/5.11 tff(22272,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s276, c_c1) | (~node10(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s276, c_c1) | (~node10(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22273,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s276, c_c1) | (~node10(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22274,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s276, c_c1) | (~node10(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22273, 22272])).
% 6.45/5.11 tff(22275,plain,
% 6.45/5.11 (~node10(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22274, 793, 22200])).
% 6.45/5.11 tff(22276,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s276, c_n1) | (~node9(s276)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s276, c_n1) | (~node9(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22277,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s276, c_n1) | (~node9(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22278,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s276, c_n1) | (~node9(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22277, 22276])).
% 6.45/5.11 tff(22279,plain,
% 6.45/5.11 (~node9(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22278, 804, 22167])).
% 6.45/5.11 tff(22280,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s276, c_n2) | (~node8(s276)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s276, c_n2) | (~node8(s276)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22281,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s276, c_n2) | (~node8(s276)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22282,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s276, c_n2) | (~node8(s276))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22281, 22280])).
% 6.45/5.11 tff(22283,plain,
% 6.45/5.11 (~node8(s276)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22282, 383, 22232])).
% 6.45/5.11 tff(22284,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s276, s277)) | node14(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s276, s277)) | node14(s276, s277))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22285,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s276, s277)) | node14(s276, s277))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22286,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s276, s277)) | node14(s276, s277)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22285, 22284])).
% 6.45/5.11 tff(22287,plain,
% 6.45/5.11 (node14(s276, s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22286, 130, 22243])).
% 6.45/5.11 tff(22288,plain,
% 6.45/5.11 (((~![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(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, 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(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22289,plain,
% 6.45/5.11 (((~m_main_v_state2(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2)) <=> (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22290,plain,
% 6.45/5.11 (((~![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(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, 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(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2))))),
% 6.45/5.11 inference(monotonicity,[status(thm)],[22289])).
% 6.45/5.11 tff(22291,plain,
% 6.45/5.11 (((~![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(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, 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(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2)))),
% 6.45/5.11 inference(transitivity,[status(thm)],[22290, 22288])).
% 6.45/5.11 tff(22292,plain,
% 6.45/5.11 ((~![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(s276, c_c2)) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | m_main_v_state2(s277, c_n2))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22293,plain,
% 6.45/5.11 ((~![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(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~node14(s276, s277)) | (~m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22292, 22291])).
% 6.45/5.11 tff(22294,plain,
% 6.45/5.11 (m_main_v_state2(s277, c_n2) | node9(s276) | node8(s276) | node10(s276) | node11(s276) | node12(s276) | (~m_main_v_state2(s276, c_c2))),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22293, 826, 22287])).
% 6.45/5.11 tff(22295,plain,
% 6.45/5.11 (m_main_v_state2(s277, c_n2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22294, 22283, 22228, 22279, 22275, 22271, 22267])).
% 6.45/5.11 tff(22296,plain,
% 6.45/5.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22297,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22298,plain,
% 6.45/5.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_t2))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 6.45/5.11 tff(22299,plain,
% 6.45/5.11 (~m_main_v_state2(s277, c_t2)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22298, 10, 22295])).
% 6.45/5.11 tff(22300,plain,
% 6.45/5.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s277, c_t2) | (~node15(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s277, c_t2) | (~node15(s277)))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22301,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s277, c_t2) | (~node15(s277)))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22302,plain,
% 6.45/5.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s277, c_t2) | (~node15(s277))),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 6.45/5.11 tff(22303,plain,
% 6.45/5.11 (~node15(s277)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22302, 21, 22299])).
% 6.45/5.11 tff(22304,plain,
% 6.45/5.11 (succ(s277, s278) <=> succ(s277, s278)),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22305,axiom,(succ(s277, s278)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound278')).
% 6.45/5.11 tff(22306,plain,
% 6.45/5.11 (succ(s277, s278)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22305, 22304])).
% 6.45/5.11 tff(22307,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22308,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22309,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 6.45/5.11 tff(22310,plain,
% 6.45/5.11 (trans(s277, s278)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22309, 22306, 57])).
% 6.45/5.11 tff(22311,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s277, s278)) | node18(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s277, s278)) | node18(s277, s278))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22312,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s277, s278)) | node18(s277, s278))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22313,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s277, s278)) | node18(s277, s278)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 6.45/5.11 tff(22314,plain,
% 6.45/5.11 (node18(s277, s278)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22313, 71, 22310])).
% 6.45/5.11 tff(22315,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~m_main_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(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, 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(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22316,plain,
% 6.45/5.11 (((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1)) <=> (node15(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 6.45/5.11 inference(rewrite,[status(thm)],[])).
% 6.45/5.11 tff(22317,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~m_main_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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, 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(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)))),
% 6.45/5.11 inference(monotonicity,[status(thm)],[22316])).
% 6.45/5.11 tff(22318,plain,
% 6.45/5.11 (((~![Y: $i, X: $i] : ((~m_main_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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, 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(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1))),
% 6.45/5.11 inference(transitivity,[status(thm)],[22317, 22315])).
% 6.45/5.11 tff(22319,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~m_main_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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node15(s277) | (~node18(s277, s278)) | m_main_v_turn(s278, c_1))),
% 6.45/5.11 inference(quant_inst,[status(thm)],[])).
% 6.45/5.11 tff(22320,plain,
% 6.45/5.11 ((~![Y: $i, X: $i] : ((~m_main_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(s277) | (~node18(s277, s278)) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)),
% 6.45/5.11 inference(modus_ponens,[status(thm)],[22319, 22318])).
% 6.45/5.11 tff(22321,plain,
% 6.45/5.11 (node15(s277) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_turn(s278, c_1)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22320, 863, 22314])).
% 6.45/5.11 tff(22322,plain,
% 6.45/5.11 (m_main_v_turn(s278, c_1)),
% 6.45/5.11 inference(unit_resolution,[status(thm)],[22321, 22303, 22295, 22259])).
% 6.45/5.11 tff(22323,plain,
% 6.45/5.11 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22324,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22325,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s278, c_1)) | (~m_main_v_turn(s278, c_2))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 6.45/5.12 tff(22326,plain,
% 6.45/5.12 (~m_main_v_turn(s278, c_2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22325, 322, 22322])).
% 6.45/5.12 tff(22327,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s278, c_2) | (~node12(s278)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s278, c_2) | (~node12(s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22328,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s278, c_2) | (~node12(s278)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22329,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s278, c_2) | (~node12(s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 6.45/5.12 tff(22330,plain,
% 6.45/5.12 (~node12(s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22329, 350, 22326])).
% 6.45/5.12 tff(22331,plain,
% 6.45/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s277, s278)) | node14(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s277, s278)) | node14(s277, s278))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22332,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s277, s278)) | node14(s277, s278))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22333,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s277, s278)) | node14(s277, s278)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 6.45/5.12 tff(22334,plain,
% 6.45/5.12 (node14(s277, s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22333, 130, 22310])).
% 6.45/5.12 tff(22335,plain,
% 6.45/5.12 (((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, 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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22336,plain,
% 6.45/5.12 ((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22337,plain,
% 6.45/5.12 ((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | (~node14(s277, s278)) | m_main_v_state2(s278, c_t2)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 6.45/5.12 tff(22338,plain,
% 6.45/5.12 ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state2(s278, c_t2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22337, 893, 22334])).
% 6.45/5.12 tff(22339,plain,
% 6.45/5.12 (m_main_v_state2(s278, c_t2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22338, 22259, 22295])).
% 6.45/5.12 tff(22340,plain,
% 6.45/5.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22341,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22342,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s278, c_n2)) | (~m_main_v_state2(s278, c_t2))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 6.45/5.12 tff(22343,plain,
% 6.45/5.12 (~m_main_v_state2(s278, c_n2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22342, 10, 22339])).
% 6.45/5.12 tff(22344,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s278, c_n2) | (~node8(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s278, c_n2) | (~node8(s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22345,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s278, c_n2) | (~node8(s278)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22346,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s278, c_n2) | (~node8(s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22345, 22344])).
% 6.45/5.12 tff(22347,plain,
% 6.45/5.12 (~node8(s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22346, 383, 22343])).
% 6.45/5.12 tff(22348,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s278, c_n2) | (~node9(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s278, c_n2) | (~node9(s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22349,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s278, c_n2) | (~node9(s278)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22350,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s278, c_n2) | (~node9(s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 6.45/5.12 tff(22351,plain,
% 6.45/5.12 (~node9(s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22350, 311, 22343])).
% 6.45/5.12 tff(22352,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s278, c_n2) | (~node10(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s278, c_n2) | (~node10(s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22353,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s278, c_n2) | (~node10(s278)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22354,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s278, c_n2) | (~node10(s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 6.45/5.12 tff(22355,plain,
% 6.45/5.12 (~node10(s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22354, 372, 22343])).
% 6.45/5.12 tff(22356,plain,
% 6.45/5.12 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22357,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22358,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s278, c_t2)) | (~m_main_v_state2(s278, c_c2))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 6.45/5.12 tff(22359,plain,
% 6.45/5.12 (~m_main_v_state2(s278, c_c2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22358, 173, 22339])).
% 6.45/5.12 tff(22360,plain,
% 6.45/5.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22361,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22362,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s277, c_n2)) | (~m_main_v_state2(s277, c_c2))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 6.45/5.12 tff(22363,plain,
% 6.45/5.12 (~m_main_v_state2(s277, c_c2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22362, 716, 22295])).
% 6.45/5.12 tff(22364,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s277, c_c2) | (~node3(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s277, c_c2) | (~node3(s277)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22365,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s277, c_c2) | (~node3(s277)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22366,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s277, c_c2) | (~node3(s277))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22365, 22364])).
% 6.45/5.12 tff(22367,plain,
% 6.45/5.12 (~node3(s277)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22366, 184, 22363])).
% 6.45/5.12 tff(22368,plain,
% 6.45/5.12 (((~![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(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22369,plain,
% 6.45/5.12 (((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1))) <=> (m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22370,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, 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(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277))))),
% 6.45/5.12 inference(monotonicity,[status(thm)],[22369])).
% 6.45/5.12 tff(22371,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, 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(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277)))),
% 6.45/5.12 inference(transitivity,[status(thm)],[22370, 22368])).
% 6.45/5.12 tff(22372,plain,
% 6.45/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s276, s277)) | m_main_v_state1(s276, c_n1) | (~m_main_v_state1(s277, c_n1)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22373,plain,
% 6.45/5.12 ((~![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(s276, c_n1) | (~m_main_v_state1(s277, c_n1)) | (~node6(s276, s277))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 6.45/5.12 tff(22374,plain,
% 6.45/5.12 (~m_main_v_state1(s277, c_n1)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22373, 936, 22167, 22252])).
% 6.45/5.12 tff(22375,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s277, c_n1) | (~node2(s277)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s277, c_n1) | (~node2(s277)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22376,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s277, c_n1) | (~node2(s277)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22377,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s277, c_n1) | (~node2(s277))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 6.45/5.12 tff(22378,plain,
% 6.45/5.12 (~node2(s277)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22377, 652, 22374])).
% 6.45/5.12 tff(22379,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s277, c_t2) | (~node1(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s277, c_t2) | (~node1(s277)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22380,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s277, c_t2) | (~node1(s277)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22381,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s277, c_t2) | (~node1(s277))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 6.45/5.12 tff(22382,plain,
% 6.45/5.12 (~node1(s277)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22381, 206, 22299])).
% 6.45/5.12 tff(22383,plain,
% 6.45/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s277, s278)) | node7(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s277, s278)) | node7(s277, s278))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22384,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s277, s278)) | node7(s277, s278))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22385,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s277, s278)) | node7(s277, s278)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 6.45/5.12 tff(22386,plain,
% 6.45/5.12 (node7(s277, s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22385, 217, 22310])).
% 6.45/5.12 tff(22387,plain,
% 6.45/5.12 (((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22388,plain,
% 6.45/5.12 (((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1)) <=> ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22389,plain,
% 6.45/5.12 (((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, 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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278))))),
% 6.45/5.12 inference(monotonicity,[status(thm)],[22388])).
% 6.45/5.12 tff(22390,plain,
% 6.45/5.12 (((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, 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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)))),
% 6.45/5.12 inference(transitivity,[status(thm)],[22389, 22387])).
% 6.45/5.12 tff(22391,plain,
% 6.45/5.12 ((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278)) | m_main_v_state1(s278, c_c1))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22392,plain,
% 6.45/5.12 ((~![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(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277) | (~node7(s277, s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22391, 22390])).
% 6.45/5.12 tff(22393,plain,
% 6.45/5.12 ((~m_main_v_state1(s277, c_t1)) | (~m_main_v_state2(s277, c_n2)) | m_main_v_state1(s278, c_c1) | node1(s277) | node2(s277) | node3(s277)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22392, 965, 22386])).
% 6.45/5.12 tff(22394,plain,
% 6.45/5.12 (m_main_v_state1(s278, c_c1)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22393, 22382, 22295, 22259, 22378, 22367])).
% 6.45/5.12 tff(22395,plain,
% 6.45/5.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22396,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22397,plain,
% 6.45/5.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_n1)) | (~m_main_v_state1(s278, c_c1))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22396, 22395])).
% 6.45/5.12 tff(22398,plain,
% 6.45/5.12 (~m_main_v_state1(s278, c_n1)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22397, 449, 22394])).
% 6.45/5.12 tff(22399,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s278, c_n1) | (~node11(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s278, c_n1) | (~node11(s278)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22400,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s278, c_n1) | (~node11(s278)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22401,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s278, c_n1) | (~node11(s278))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22400, 22399])).
% 6.45/5.12 tff(22402,plain,
% 6.45/5.12 (~node11(s278)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22401, 361, 22398])).
% 6.45/5.12 tff(22403,plain,
% 6.45/5.12 (succ(s278, s279) <=> succ(s278, s279)),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22404,axiom,(succ(s278, s279)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound279')).
% 6.45/5.12 tff(22405,plain,
% 6.45/5.12 (succ(s278, s279)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 6.45/5.12 tff(22406,plain,
% 6.45/5.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22407,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22408,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 6.45/5.12 tff(22409,plain,
% 6.45/5.12 (trans(s278, s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22408, 22405, 57])).
% 6.45/5.12 tff(22410,plain,
% 6.45/5.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s278, s279)) | node14(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s278, s279)) | node14(s278, s279))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22411,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s278, s279)) | node14(s278, s279))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22412,plain,
% 6.45/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s278, s279)) | node14(s278, s279)),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 6.45/5.12 tff(22413,plain,
% 6.45/5.12 (node14(s278, s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22412, 130, 22409])).
% 6.45/5.12 tff(22414,plain,
% 6.45/5.12 (((~![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(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))) <=> ((~![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(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22415,plain,
% 6.45/5.12 ((~![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(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22416,plain,
% 6.45/5.12 ((~![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(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279) | (~node14(s278, s279))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22415, 22414])).
% 6.45/5.12 tff(22417,plain,
% 6.45/5.12 (m_main_v_state2(s278, c_c2) | node9(s278) | node8(s278) | node10(s278) | node11(s278) | node12(s278) | node13(s278, s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22416, 401, 22413])).
% 6.45/5.12 tff(22418,plain,
% 6.45/5.12 (node13(s278, s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22417, 22402, 22359, 22355, 22351, 22347, 22330])).
% 6.45/5.12 tff(22419,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22420,plain,
% 6.45/5.12 (((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2))) <=> (m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22421,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, 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(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279))))),
% 6.45/5.12 inference(monotonicity,[status(thm)],[22420])).
% 6.45/5.12 tff(22422,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, 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(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279)))),
% 6.45/5.12 inference(transitivity,[status(thm)],[22421, 22419])).
% 6.45/5.12 tff(22423,plain,
% 6.45/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s278, s279)) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22424,plain,
% 6.45/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s278, c_n2) | (~m_main_v_state2(s279, c_n2)) | (~node13(s278, s279))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22423, 22422])).
% 6.45/5.12 tff(22425,plain,
% 6.45/5.12 (~m_main_v_state2(s279, c_n2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22424, 416, 22343, 22418])).
% 6.45/5.12 tff(22426,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s279, c_n2) | (~node9(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s279, c_n2) | (~node9(s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22427,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s279, c_n2) | (~node9(s279)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22428,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s279, c_n2) | (~node9(s279))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 6.45/5.12 tff(22429,plain,
% 6.45/5.12 (~node9(s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22428, 311, 22425])).
% 6.45/5.12 tff(22430,plain,
% 6.45/5.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s279, c_n2) | (~node10(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s279, c_n2) | (~node10(s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22431,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s279, c_n2) | (~node10(s279)))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22432,plain,
% 6.45/5.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s279, c_n2) | (~node10(s279))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22431, 22430])).
% 6.45/5.12 tff(22433,plain,
% 6.45/5.12 (~node10(s279)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22432, 372, 22425])).
% 6.45/5.12 tff(22434,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22435,plain,
% 6.45/5.12 (((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2)) <=> ((~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 6.45/5.12 inference(rewrite,[status(thm)],[])).
% 6.45/5.12 tff(22436,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, 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(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279))))),
% 6.45/5.12 inference(monotonicity,[status(thm)],[22435])).
% 6.45/5.12 tff(22437,plain,
% 6.45/5.12 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, 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(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279)))),
% 6.45/5.12 inference(transitivity,[status(thm)],[22436, 22434])).
% 6.45/5.12 tff(22438,plain,
% 6.45/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s278, s279)) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2))),
% 6.45/5.12 inference(quant_inst,[status(thm)],[])).
% 6.45/5.12 tff(22439,plain,
% 6.45/5.12 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s278, c_t2)) | m_main_v_state2(s279, c_t2) | (~node13(s278, s279))),
% 6.45/5.12 inference(modus_ponens,[status(thm)],[22438, 22437])).
% 6.45/5.12 tff(22440,plain,
% 6.45/5.12 (m_main_v_state2(s279, c_t2)),
% 6.45/5.12 inference(unit_resolution,[status(thm)],[22439, 563, 22339, 22418])).
% 6.45/5.13 tff(22441,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22442,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22443,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s278, c_t1)) | (~m_main_v_state1(s278, c_c1))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 6.45/5.13 tff(22444,plain,
% 6.45/5.13 (~m_main_v_state1(s278, c_t1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22443, 289, 22394])).
% 6.45/5.13 tff(22445,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s278, c_t1) | (~node5(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s278, c_t1) | (~node5(s278)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22446,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s278, c_t1) | (~node5(s278)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22447,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s278, c_t1) | (~node5(s278))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22446, 22445])).
% 6.45/5.13 tff(22448,plain,
% 6.45/5.13 (~node5(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22447, 300, 22444])).
% 6.45/5.13 tff(22449,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s278, c_n2) | (~node4(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s278, c_n2) | (~node4(s278)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22450,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s278, c_n2) | (~node4(s278)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22451,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s278, c_n2) | (~node4(s278))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22450, 22449])).
% 6.45/5.13 tff(22452,plain,
% 6.45/5.13 (~node4(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22451, 162, 22343])).
% 6.45/5.13 tff(22453,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s278, c_c2) | (~node3(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s278, c_c2) | (~node3(s278)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22454,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s278, c_c2) | (~node3(s278)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22455,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s278, c_c2) | (~node3(s278))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 6.45/5.13 tff(22456,plain,
% 6.45/5.13 (~node3(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22455, 184, 22359])).
% 6.45/5.13 tff(22457,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s278, c_n2) | (~node2(s278)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s278, c_n2) | (~node2(s278)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22458,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s278, c_n2) | (~node2(s278)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22459,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s278, c_n2) | (~node2(s278))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 6.45/5.13 tff(22460,plain,
% 6.45/5.13 (~node2(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22459, 195, 22343])).
% 6.45/5.13 tff(22461,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s278, c_n1) | (~node1(s278)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s278, c_n1) | (~node1(s278)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22462,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s278, c_n1) | (~node1(s278)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22463,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s278, c_n1) | (~node1(s278))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 6.45/5.13 tff(22464,plain,
% 6.45/5.13 (~node1(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22463, 249, 22398])).
% 6.45/5.13 tff(22465,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s278, s279)) | node7(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s278, s279)) | node7(s278, s279))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22466,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s278, s279)) | node7(s278, s279))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22467,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s278, s279)) | node7(s278, s279)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22466, 22465])).
% 6.45/5.13 tff(22468,plain,
% 6.45/5.13 (node7(s278, s279)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22467, 217, 22409])).
% 6.45/5.13 tff(22469,plain,
% 6.45/5.13 (((~![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(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22470,plain,
% 6.45/5.13 (((~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1)) <=> (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22471,plain,
% 6.45/5.13 (((~![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(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, 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(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279))))),
% 6.45/5.13 inference(monotonicity,[status(thm)],[22470])).
% 6.45/5.13 tff(22472,plain,
% 6.45/5.13 (((~![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(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, 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(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)))),
% 6.45/5.13 inference(transitivity,[status(thm)],[22471, 22469])).
% 6.45/5.13 tff(22473,plain,
% 6.45/5.13 ((~![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(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279)) | m_main_v_state1(s279, c_n1))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22474,plain,
% 6.45/5.13 ((~![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(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278) | (~node7(s278, s279))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 6.45/5.13 tff(22475,plain,
% 6.45/5.13 (m_main_v_state1(s279, c_n1) | (~m_main_v_state1(s278, c_c1)) | node1(s278) | node2(s278) | node3(s278) | node4(s278) | node5(s278)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22474, 478, 22468])).
% 6.45/5.13 tff(22476,plain,
% 6.45/5.13 (m_main_v_state1(s279, c_n1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22475, 22464, 22394, 22460, 22456, 22452, 22448])).
% 6.45/5.13 tff(22477,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s279, c_n2) | (~node8(s279)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s279, c_n2) | (~node8(s279)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22478,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s279, c_n2) | (~node8(s279)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22479,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s279, c_n2) | (~node8(s279))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22478, 22477])).
% 6.45/5.13 tff(22480,plain,
% 6.45/5.13 (~node8(s279)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22479, 383, 22425])).
% 6.45/5.13 tff(22481,plain,
% 6.45/5.13 (succ(s279, s280) <=> succ(s279, s280)),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22482,axiom,(succ(s279, s280)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound280')).
% 6.45/5.13 tff(22483,plain,
% 6.45/5.13 (succ(s279, s280)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 6.45/5.13 tff(22484,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22485,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22486,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22485, 22484])).
% 6.45/5.13 tff(22487,plain,
% 6.45/5.13 (trans(s279, s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22486, 22483, 57])).
% 6.45/5.13 tff(22488,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s279, s280)) | node14(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s279, s280)) | node14(s279, s280))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22489,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s279, s280)) | node14(s279, s280))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22490,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s279, s280)) | node14(s279, s280)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22489, 22488])).
% 6.45/5.13 tff(22491,plain,
% 6.45/5.13 (node14(s279, s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22490, 130, 22487])).
% 6.45/5.13 tff(22492,plain,
% 6.45/5.13 (((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, 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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22493,plain,
% 6.45/5.13 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22494,plain,
% 6.45/5.13 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | (~node14(s279, s280)) | m_main_v_state2(s280, c_c2)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22493, 22492])).
% 6.45/5.13 tff(22495,plain,
% 6.45/5.13 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | node9(s279) | node8(s279) | node10(s279) | m_main_v_state2(s280, c_c2)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22494, 704, 22491])).
% 6.45/5.13 tff(22496,plain,
% 6.45/5.13 (m_main_v_state2(s280, c_c2)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22495, 22480, 22476, 22440, 22433, 22429])).
% 6.45/5.13 tff(22497,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22498,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22499,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_t2)) | (~m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22498, 22497])).
% 6.45/5.13 tff(22500,plain,
% 6.45/5.13 (~m_main_v_state2(s280, c_t2)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22499, 173, 22496])).
% 6.45/5.13 tff(22501,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s280, c_t2) | (~node12(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s280, c_t2) | (~node12(s280)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22502,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s280, c_t2) | (~node12(s280)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22503,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s280, c_t2) | (~node12(s280))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 6.45/5.13 tff(22504,plain,
% 6.45/5.13 (~node12(s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22503, 778, 22500])).
% 6.45/5.13 tff(22505,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s279, s280)) | node7(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s279, s280)) | node7(s279, s280))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22506,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s279, s280)) | node7(s279, s280))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22507,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s279, s280)) | node7(s279, s280)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22506, 22505])).
% 6.45/5.13 tff(22508,plain,
% 6.45/5.13 (node7(s279, s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22507, 217, 22487])).
% 6.45/5.13 tff(22509,plain,
% 6.45/5.13 (((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, 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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22510,plain,
% 6.45/5.13 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22511,plain,
% 6.45/5.13 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node7(s279, s280)) | m_main_v_state1(s280, c_t1)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22510, 22509])).
% 6.45/5.13 tff(22512,plain,
% 6.45/5.13 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_state1(s280, c_t1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22511, 598, 22508])).
% 6.45/5.13 tff(22513,plain,
% 6.45/5.13 (m_main_v_state1(s280, c_t1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22512, 22440, 22476])).
% 6.45/5.13 tff(22514,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22515,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22516,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s280, c_n1)) | (~m_main_v_state1(s280, c_t1))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22515, 22514])).
% 6.45/5.13 tff(22517,plain,
% 6.45/5.13 (~m_main_v_state1(s280, c_n1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22516, 35, 22513])).
% 6.45/5.13 tff(22518,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s280, c_n1) | (~node11(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s280, c_n1) | (~node11(s280)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22519,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s280, c_n1) | (~node11(s280)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22520,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s280, c_n1) | (~node11(s280))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22519, 22518])).
% 6.45/5.13 tff(22521,plain,
% 6.45/5.13 (~node11(s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22520, 361, 22517])).
% 6.45/5.13 tff(22522,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22523,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22524,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s280, c_t1)) | (~m_main_v_state1(s280, c_c1))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22523, 22522])).
% 6.45/5.13 tff(22525,plain,
% 6.45/5.13 (~m_main_v_state1(s280, c_c1)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22524, 289, 22513])).
% 6.45/5.13 tff(22526,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s280, c_c1) | (~node10(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s280, c_c1) | (~node10(s280)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22527,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s280, c_c1) | (~node10(s280)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22528,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s280, c_c1) | (~node10(s280))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 6.45/5.13 tff(22529,plain,
% 6.45/5.13 (~node10(s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22528, 793, 22525])).
% 6.45/5.13 tff(22530,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s280, c_n1) | (~node9(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s280, c_n1) | (~node9(s280)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22531,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s280, c_n1) | (~node9(s280)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22532,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s280, c_n1) | (~node9(s280))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22531, 22530])).
% 6.45/5.13 tff(22533,plain,
% 6.45/5.13 (~node9(s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22532, 804, 22517])).
% 6.45/5.13 tff(22534,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22535,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22536,plain,
% 6.45/5.13 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s280, c_n2)) | (~m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22535, 22534])).
% 6.45/5.13 tff(22537,plain,
% 6.45/5.13 (~m_main_v_state2(s280, c_n2)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22536, 716, 22496])).
% 6.45/5.13 tff(22538,plain,
% 6.45/5.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s280, c_n2) | (~node8(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s280, c_n2) | (~node8(s280)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22539,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s280, c_n2) | (~node8(s280)))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22540,plain,
% 6.45/5.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s280, c_n2) | (~node8(s280))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22539, 22538])).
% 6.45/5.13 tff(22541,plain,
% 6.45/5.13 (~node8(s280)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22540, 383, 22537])).
% 6.45/5.13 tff(22542,plain,
% 6.45/5.13 (succ(s280, s281) <=> succ(s280, s281)),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22543,axiom,(succ(s280, s281)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound281')).
% 6.45/5.13 tff(22544,plain,
% 6.45/5.13 (succ(s280, s281)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22543, 22542])).
% 6.45/5.13 tff(22545,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22546,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22547,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22546, 22545])).
% 6.45/5.13 tff(22548,plain,
% 6.45/5.13 (trans(s280, s281)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22547, 22544, 57])).
% 6.45/5.13 tff(22549,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s280, s281)) | node14(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s280, s281)) | node14(s280, s281))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22550,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s280, s281)) | node14(s280, s281))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22551,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s280, s281)) | node14(s280, s281)),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22550, 22549])).
% 6.45/5.13 tff(22552,plain,
% 6.45/5.13 (node14(s280, s281)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22551, 130, 22548])).
% 6.45/5.13 tff(22553,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, 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(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22554,plain,
% 6.45/5.13 (((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2)) <=> (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(rewrite,[status(thm)],[])).
% 6.45/5.13 tff(22555,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, 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(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2))))),
% 6.45/5.13 inference(monotonicity,[status(thm)],[22554])).
% 6.45/5.13 tff(22556,plain,
% 6.45/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, 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(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2)))),
% 6.45/5.13 inference(transitivity,[status(thm)],[22555, 22553])).
% 6.45/5.13 tff(22557,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s280, c_c2)) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | m_main_v_state2(s281, c_n2))),
% 6.45/5.13 inference(quant_inst,[status(thm)],[])).
% 6.45/5.13 tff(22558,plain,
% 6.45/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~node14(s280, s281)) | (~m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(modus_ponens,[status(thm)],[22557, 22556])).
% 6.45/5.13 tff(22559,plain,
% 6.45/5.13 (m_main_v_state2(s281, c_n2) | node9(s280) | node8(s280) | node10(s280) | node11(s280) | node12(s280) | (~m_main_v_state2(s280, c_c2))),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22558, 826, 22552])).
% 6.45/5.13 tff(22560,plain,
% 6.45/5.13 (m_main_v_state2(s281, c_n2)),
% 6.45/5.13 inference(unit_resolution,[status(thm)],[22559, 22541, 22496, 22533, 22529, 22521, 22504])).
% 6.45/5.13 tff(22561,plain,
% 6.45/5.13 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22562,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22563,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_c2))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 6.45/5.14 tff(22564,plain,
% 6.45/5.14 (~m_main_v_state2(s281, c_c2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22563, 716, 22560])).
% 6.45/5.14 tff(22565,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s281, c_c2) | (~node3(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s281, c_c2) | (~node3(s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22566,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s281, c_c2) | (~node3(s281)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22567,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s281, c_c2) | (~node3(s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 6.45/5.14 tff(22568,plain,
% 6.45/5.14 (~node3(s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22567, 184, 22564])).
% 6.45/5.14 tff(22569,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s280, c_n1) | (~node1(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s280, c_n1) | (~node1(s280)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22570,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s280, c_n1) | (~node1(s280)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22571,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s280, c_n1) | (~node1(s280))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 6.45/5.14 tff(22572,plain,
% 6.45/5.14 (~node1(s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22571, 249, 22517])).
% 6.45/5.14 tff(22573,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s279, s280)) | node18(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s279, s280)) | node18(s279, s280))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22574,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s279, s280)) | node18(s279, s280))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22575,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s279, s280)) | node18(s279, s280)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22574, 22573])).
% 6.45/5.14 tff(22576,plain,
% 6.45/5.14 (node18(s279, s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22575, 71, 22487])).
% 6.45/5.14 tff(22577,plain,
% 6.45/5.14 (((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, 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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22578,plain,
% 6.45/5.14 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22579,plain,
% 6.45/5.14 ((~![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(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | (~node18(s279, s280)) | m_main_v_turn(s280, c_2)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22578, 22577])).
% 6.45/5.14 tff(22580,plain,
% 6.45/5.14 ((~m_main_v_state1(s279, c_n1)) | (~m_main_v_state2(s279, c_t2)) | m_main_v_turn(s280, c_2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22579, 625, 22576])).
% 6.45/5.14 tff(22581,plain,
% 6.45/5.14 (m_main_v_turn(s280, c_2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22580, 22440, 22476])).
% 6.45/5.14 tff(22582,plain,
% 6.45/5.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22583,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22584,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s280, c_1)) | (~m_main_v_turn(s280, c_2))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 6.45/5.14 tff(22585,plain,
% 6.45/5.14 (~m_main_v_turn(s280, c_1)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22584, 322, 22581])).
% 6.45/5.14 tff(22586,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s280, c_1) | (~node5(s280)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s280, c_1) | (~node5(s280)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22587,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s280, c_1) | (~node5(s280)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22588,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s280, c_1) | (~node5(s280))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 6.45/5.14 tff(22589,plain,
% 6.45/5.14 (~node5(s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22588, 641, 22585])).
% 6.45/5.14 tff(22590,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s280, c_n1) | (~node2(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s280, c_n1) | (~node2(s280)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22591,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s280, c_n1) | (~node2(s280)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22592,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s280, c_n1) | (~node2(s280))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22591, 22590])).
% 6.45/5.14 tff(22593,plain,
% 6.45/5.14 (~node2(s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22592, 652, 22517])).
% 6.45/5.14 tff(22594,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s280, c_n1) | (~node3(s280)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s280, c_n1) | (~node3(s280)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22595,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s280, c_n1) | (~node3(s280)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22596,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s280, c_n1) | (~node3(s280))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 6.45/5.14 tff(22597,plain,
% 6.45/5.14 (~node3(s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22596, 663, 22517])).
% 6.45/5.14 tff(22598,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s280, c_n2) | (~node4(s280)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s280, c_n2) | (~node4(s280)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22599,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s280, c_n2) | (~node4(s280)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22600,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s280, c_n2) | (~node4(s280))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22599, 22598])).
% 6.45/5.14 tff(22601,plain,
% 6.45/5.14 (~node4(s280)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22600, 162, 22537])).
% 6.45/5.14 tff(22602,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s280, s281)) | node7(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s280, s281)) | node7(s280, s281))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22603,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s280, s281)) | node7(s280, s281))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22604,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s280, s281)) | node7(s280, s281)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 6.45/5.14 tff(22605,plain,
% 6.45/5.14 (node7(s280, s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22604, 217, 22548])).
% 6.45/5.14 tff(22606,plain,
% 6.45/5.14 (((~![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(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))) <=> ((~![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(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22607,plain,
% 6.45/5.14 ((~![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(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22608,plain,
% 6.45/5.14 ((~![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(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281) | (~node7(s280, s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 6.45/5.14 tff(22609,plain,
% 6.45/5.14 (m_main_v_state1(s280, c_c1) | node1(s280) | node2(s280) | node3(s280) | node4(s280) | node5(s280) | node6(s280, s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22608, 745, 22605])).
% 6.45/5.14 tff(22610,plain,
% 6.45/5.14 (node6(s280, s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22609, 22601, 22525, 22597, 22593, 22589, 22572])).
% 6.45/5.14 tff(22611,plain,
% 6.45/5.14 (((~![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(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22612,plain,
% 6.45/5.14 (((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1))) <=> (m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22613,plain,
% 6.45/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, 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(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281))))),
% 6.45/5.14 inference(monotonicity,[status(thm)],[22612])).
% 6.45/5.14 tff(22614,plain,
% 6.45/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, 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(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281)))),
% 6.45/5.14 inference(transitivity,[status(thm)],[22613, 22611])).
% 6.45/5.14 tff(22615,plain,
% 6.45/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s280, s281)) | m_main_v_state1(s280, c_n1) | (~m_main_v_state1(s281, c_n1)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22616,plain,
% 6.45/5.14 ((~![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(s280, c_n1) | (~m_main_v_state1(s281, c_n1)) | (~node6(s280, s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22615, 22614])).
% 6.45/5.14 tff(22617,plain,
% 6.45/5.14 (~m_main_v_state1(s281, c_n1)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22616, 936, 22517, 22610])).
% 6.45/5.14 tff(22618,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s281, c_n1) | (~node2(s281)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s281, c_n1) | (~node2(s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22619,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s281, c_n1) | (~node2(s281)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22620,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s281, c_n1) | (~node2(s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 6.45/5.14 tff(22621,plain,
% 6.45/5.14 (~node2(s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22620, 652, 22617])).
% 6.45/5.14 tff(22622,plain,
% 6.45/5.14 (((~![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(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22623,plain,
% 6.45/5.14 (((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1)) <=> ((~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22624,plain,
% 6.45/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, 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(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281))))),
% 6.45/5.14 inference(monotonicity,[status(thm)],[22623])).
% 6.45/5.14 tff(22625,plain,
% 6.45/5.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, 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(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281)))),
% 6.45/5.14 inference(transitivity,[status(thm)],[22624, 22622])).
% 6.45/5.14 tff(22626,plain,
% 6.45/5.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s280, s281)) | (~m_main_v_state1(s280, c_t1)) | m_main_v_state1(s281, c_t1))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22627,plain,
% 6.45/5.14 ((~![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(s280, c_t1)) | m_main_v_state1(s281, c_t1) | (~node6(s280, s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22626, 22625])).
% 6.45/5.14 tff(22628,plain,
% 6.45/5.14 (m_main_v_state1(s281, c_t1)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22627, 760, 22513, 22610])).
% 6.45/5.14 tff(22629,plain,
% 6.45/5.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22630,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22631,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s281, c_n2)) | (~m_main_v_state2(s281, c_t2))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 6.45/5.14 tff(22632,plain,
% 6.45/5.14 (~m_main_v_state2(s281, c_t2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22631, 10, 22560])).
% 6.45/5.14 tff(22633,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s281, c_t2) | (~node1(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s281, c_t2) | (~node1(s281)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22634,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s281, c_t2) | (~node1(s281)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22635,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s281, c_t2) | (~node1(s281))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 6.45/5.14 tff(22636,plain,
% 6.45/5.14 (~node1(s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22635, 206, 22632])).
% 6.45/5.14 tff(22637,plain,
% 6.45/5.14 (succ(s281, s282) <=> succ(s281, s282)),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22638,axiom,(succ(s281, s282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound282')).
% 6.45/5.14 tff(22639,plain,
% 6.45/5.14 (succ(s281, s282)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22638, 22637])).
% 6.45/5.14 tff(22640,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22641,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22642,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22641, 22640])).
% 6.45/5.14 tff(22643,plain,
% 6.45/5.14 (trans(s281, s282)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22642, 22639, 57])).
% 6.45/5.14 tff(22644,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s281, s282)) | node7(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s281, s282)) | node7(s281, s282))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22645,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s281, s282)) | node7(s281, s282))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22646,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s281, s282)) | node7(s281, s282)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 6.45/5.14 tff(22647,plain,
% 6.45/5.14 (node7(s281, s282)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22646, 217, 22643])).
% 6.45/5.14 tff(22648,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22649,plain,
% 6.45/5.14 (((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1)) <=> ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22650,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, 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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282))))),
% 6.45/5.14 inference(monotonicity,[status(thm)],[22649])).
% 6.45/5.14 tff(22651,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, 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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)))),
% 6.45/5.14 inference(transitivity,[status(thm)],[22650, 22648])).
% 6.45/5.14 tff(22652,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282)) | m_main_v_state1(s282, c_c1))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22653,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281) | (~node7(s281, s282))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 6.45/5.14 tff(22654,plain,
% 6.45/5.14 ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state1(s282, c_c1) | node1(s281) | node2(s281) | node3(s281)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22653, 965, 22647])).
% 6.45/5.14 tff(22655,plain,
% 6.45/5.14 (m_main_v_state1(s282, c_c1)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22654, 22636, 22560, 22628, 22621, 22568])).
% 6.45/5.14 tff(22656,plain,
% 6.45/5.14 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22657,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22658,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_t1)) | (~m_main_v_state1(s282, c_c1))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 6.45/5.14 tff(22659,plain,
% 6.45/5.14 (~m_main_v_state1(s282, c_t1)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22658, 289, 22655])).
% 6.45/5.14 tff(22660,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s282, c_t1) | (~node5(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s282, c_t1) | (~node5(s282)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22661,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s282, c_t1) | (~node5(s282)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22662,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s282, c_t1) | (~node5(s282))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 6.45/5.14 tff(22663,plain,
% 6.45/5.14 (~node5(s282)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22662, 300, 22659])).
% 6.45/5.14 tff(22664,plain,
% 6.45/5.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s281, s282)) | node14(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s281, s282)) | node14(s281, s282))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22665,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s281, s282)) | node14(s281, s282))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22666,plain,
% 6.45/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s281, s282)) | node14(s281, s282)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 6.45/5.14 tff(22667,plain,
% 6.45/5.14 (node14(s281, s282)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22666, 130, 22643])).
% 6.45/5.14 tff(22668,plain,
% 6.45/5.14 (((~![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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, 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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22669,plain,
% 6.45/5.14 ((~![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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22670,plain,
% 6.45/5.14 ((~![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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | (~node14(s281, s282)) | m_main_v_state2(s282, c_t2)),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 6.45/5.14 tff(22671,plain,
% 6.45/5.14 ((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_state2(s282, c_t2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22670, 893, 22667])).
% 6.45/5.14 tff(22672,plain,
% 6.45/5.14 (m_main_v_state2(s282, c_t2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22671, 22628, 22560])).
% 6.45/5.14 tff(22673,plain,
% 6.45/5.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22674,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22675,plain,
% 6.45/5.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s282, c_n2)) | (~m_main_v_state2(s282, c_t2))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22674, 22673])).
% 6.45/5.14 tff(22676,plain,
% 6.45/5.14 (~m_main_v_state2(s282, c_n2)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22675, 10, 22672])).
% 6.45/5.14 tff(22677,plain,
% 6.45/5.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s282, c_n2) | (~node4(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s282, c_n2) | (~node4(s282)))),
% 6.45/5.14 inference(rewrite,[status(thm)],[])).
% 6.45/5.14 tff(22678,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s282, c_n2) | (~node4(s282)))),
% 6.45/5.14 inference(quant_inst,[status(thm)],[])).
% 6.45/5.14 tff(22679,plain,
% 6.45/5.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s282, c_n2) | (~node4(s282))),
% 6.45/5.14 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 6.45/5.14 tff(22680,plain,
% 6.45/5.14 (~node4(s282)),
% 6.45/5.14 inference(unit_resolution,[status(thm)],[22679, 162, 22676])).
% 6.45/5.14 tff(22681,plain,
% 6.45/5.14 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22682,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22683,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s282, c_t2)) | (~m_main_v_state2(s282, c_c2))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22682, 22681])).
% 6.45/5.15 tff(22684,plain,
% 6.45/5.15 (~m_main_v_state2(s282, c_c2)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22683, 173, 22672])).
% 6.45/5.15 tff(22685,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s282, c_c2) | (~node3(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s282, c_c2) | (~node3(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22686,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s282, c_c2) | (~node3(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22687,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s282, c_c2) | (~node3(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22686, 22685])).
% 6.45/5.15 tff(22688,plain,
% 6.45/5.15 (~node3(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22687, 184, 22684])).
% 6.45/5.15 tff(22689,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s282, c_n2) | (~node2(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s282, c_n2) | (~node2(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22690,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s282, c_n2) | (~node2(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22691,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s282, c_n2) | (~node2(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22690, 22689])).
% 6.45/5.15 tff(22692,plain,
% 6.45/5.15 (~node2(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22691, 195, 22676])).
% 6.45/5.15 tff(22693,plain,
% 6.45/5.15 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22694,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22695,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s282, c_n1)) | (~m_main_v_state1(s282, c_c1))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22694, 22693])).
% 6.45/5.15 tff(22696,plain,
% 6.45/5.15 (~m_main_v_state1(s282, c_n1)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22695, 449, 22655])).
% 6.45/5.15 tff(22697,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s282, c_n1) | (~node1(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s282, c_n1) | (~node1(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22698,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s282, c_n1) | (~node1(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22699,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s282, c_n1) | (~node1(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22698, 22697])).
% 6.45/5.15 tff(22700,plain,
% 6.45/5.15 (~node1(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22699, 249, 22696])).
% 6.45/5.15 tff(22701,plain,
% 6.45/5.15 (succ(s282, s283) <=> succ(s282, s283)),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22702,axiom,(succ(s282, s283)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound283')).
% 6.45/5.15 tff(22703,plain,
% 6.45/5.15 (succ(s282, s283)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22702, 22701])).
% 6.45/5.15 tff(22704,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22705,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22706,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22705, 22704])).
% 6.45/5.15 tff(22707,plain,
% 6.45/5.15 (trans(s282, s283)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22706, 22703, 57])).
% 6.45/5.15 tff(22708,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s282, s283)) | node7(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s282, s283)) | node7(s282, s283))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22709,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s282, s283)) | node7(s282, s283))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22710,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s282, s283)) | node7(s282, s283)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 6.45/5.15 tff(22711,plain,
% 6.45/5.15 (node7(s282, s283)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22710, 217, 22707])).
% 6.45/5.15 tff(22712,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22713,plain,
% 6.45/5.15 (((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1)) <=> (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22714,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, 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(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283))))),
% 6.45/5.15 inference(monotonicity,[status(thm)],[22713])).
% 6.45/5.15 tff(22715,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, 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(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)))),
% 6.45/5.15 inference(transitivity,[status(thm)],[22714, 22712])).
% 6.45/5.15 tff(22716,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283)) | m_main_v_state1(s283, c_n1))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22717,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282) | (~node7(s282, s283))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 6.45/5.15 tff(22718,plain,
% 6.45/5.15 (m_main_v_state1(s283, c_n1) | (~m_main_v_state1(s282, c_c1)) | node1(s282) | node2(s282) | node3(s282) | node4(s282) | node5(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22717, 478, 22711])).
% 6.45/5.15 tff(22719,plain,
% 6.45/5.15 (m_main_v_state1(s283, c_n1)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22718, 22700, 22655, 22692, 22688, 22680, 22663])).
% 6.45/5.15 tff(22720,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s281, c_t2) | (~node15(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s281, c_t2) | (~node15(s281)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22721,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s281, c_t2) | (~node15(s281)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22722,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s281, c_t2) | (~node15(s281))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22721, 22720])).
% 6.45/5.15 tff(22723,plain,
% 6.45/5.15 (~node15(s281)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22722, 21, 22632])).
% 6.45/5.15 tff(22724,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s281, s282)) | node18(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s281, s282)) | node18(s281, s282))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22725,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s281, s282)) | node18(s281, s282))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22726,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s281, s282)) | node18(s281, s282)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22725, 22724])).
% 6.45/5.15 tff(22727,plain,
% 6.45/5.15 (node18(s281, s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22726, 71, 22643])).
% 6.45/5.15 tff(22728,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_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(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, 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(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22729,plain,
% 6.45/5.15 (((~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1)) <=> (node15(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22730,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, 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(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)))),
% 6.45/5.15 inference(monotonicity,[status(thm)],[22729])).
% 6.45/5.15 tff(22731,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~m_main_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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, 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(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1))),
% 6.45/5.15 inference(transitivity,[status(thm)],[22730, 22728])).
% 6.45/5.15 tff(22732,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~m_main_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(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | node15(s281) | (~node18(s281, s282)) | m_main_v_turn(s282, c_1))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22733,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~m_main_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(s281) | (~node18(s281, s282)) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 6.45/5.15 tff(22734,plain,
% 6.45/5.15 (node15(s281) | (~m_main_v_state1(s281, c_t1)) | (~m_main_v_state2(s281, c_n2)) | m_main_v_turn(s282, c_1)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22733, 863, 22727])).
% 6.45/5.15 tff(22735,plain,
% 6.45/5.15 (m_main_v_turn(s282, c_1)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22734, 22723, 22560, 22628])).
% 6.45/5.15 tff(22736,plain,
% 6.45/5.15 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22737,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22738,plain,
% 6.45/5.15 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s282, c_1)) | (~m_main_v_turn(s282, c_2))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22737, 22736])).
% 6.45/5.15 tff(22739,plain,
% 6.45/5.15 (~m_main_v_turn(s282, c_2)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22738, 322, 22735])).
% 6.45/5.15 tff(22740,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s282, c_2) | (~node12(s282)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s282, c_2) | (~node12(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22741,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s282, c_2) | (~node12(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22742,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s282, c_2) | (~node12(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22741, 22740])).
% 6.45/5.15 tff(22743,plain,
% 6.45/5.15 (~node12(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22742, 350, 22739])).
% 6.45/5.15 tff(22744,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s282, c_n2) | (~node8(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s282, c_n2) | (~node8(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22745,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s282, c_n2) | (~node8(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22746,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s282, c_n2) | (~node8(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 6.45/5.15 tff(22747,plain,
% 6.45/5.15 (~node8(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22746, 383, 22676])).
% 6.45/5.15 tff(22748,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s282, c_n2) | (~node9(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s282, c_n2) | (~node9(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22749,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s282, c_n2) | (~node9(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22750,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s282, c_n2) | (~node9(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 6.45/5.15 tff(22751,plain,
% 6.45/5.15 (~node9(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22750, 311, 22676])).
% 6.45/5.15 tff(22752,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s282, c_n2) | (~node10(s282)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s282, c_n2) | (~node10(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22753,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s282, c_n2) | (~node10(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22754,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s282, c_n2) | (~node10(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 6.45/5.15 tff(22755,plain,
% 6.45/5.15 (~node10(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22754, 372, 22676])).
% 6.45/5.15 tff(22756,plain,
% 6.45/5.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s282, c_n1) | (~node11(s282)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s282, c_n1) | (~node11(s282)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22757,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s282, c_n1) | (~node11(s282)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22758,plain,
% 6.45/5.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s282, c_n1) | (~node11(s282))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22757, 22756])).
% 6.45/5.15 tff(22759,plain,
% 6.45/5.15 (~node11(s282)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22758, 361, 22696])).
% 6.45/5.15 tff(22760,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s282, s283)) | node14(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s282, s283)) | node14(s282, s283))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22761,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s282, s283)) | node14(s282, s283))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22762,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s282, s283)) | node14(s282, s283)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 6.45/5.15 tff(22763,plain,
% 6.45/5.15 (node14(s282, s283)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22762, 130, 22707])).
% 6.45/5.15 tff(22764,plain,
% 6.45/5.15 (((~![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(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))) <=> ((~![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(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22765,plain,
% 6.45/5.15 ((~![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(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283)))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22766,plain,
% 6.45/5.15 ((~![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(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283) | (~node14(s282, s283))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22765, 22764])).
% 6.45/5.15 tff(22767,plain,
% 6.45/5.15 (m_main_v_state2(s282, c_c2) | node9(s282) | node8(s282) | node10(s282) | node11(s282) | node12(s282) | node13(s282, s283)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22766, 401, 22763])).
% 6.45/5.15 tff(22768,plain,
% 6.45/5.15 (node13(s282, s283)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22767, 22759, 22684, 22755, 22751, 22747, 22743])).
% 6.45/5.15 tff(22769,plain,
% 6.45/5.15 (((~![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(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22770,plain,
% 6.45/5.15 (((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2)) <=> ((~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22771,plain,
% 6.45/5.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, 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(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283))))),
% 6.45/5.15 inference(monotonicity,[status(thm)],[22770])).
% 6.45/5.15 tff(22772,plain,
% 6.45/5.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, 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(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283)))),
% 6.45/5.15 inference(transitivity,[status(thm)],[22771, 22769])).
% 6.45/5.15 tff(22773,plain,
% 6.45/5.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s282, s283)) | (~m_main_v_state2(s282, c_t2)) | m_main_v_state2(s283, c_t2))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22774,plain,
% 6.45/5.15 ((~![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(s282, c_t2)) | m_main_v_state2(s283, c_t2) | (~node13(s282, s283))),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22773, 22772])).
% 6.45/5.15 tff(22775,plain,
% 6.45/5.15 (m_main_v_state2(s283, c_t2)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22774, 563, 22672, 22768])).
% 6.45/5.15 tff(22776,plain,
% 6.45/5.15 (succ(s283, s284) <=> succ(s283, s284)),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22777,axiom,(succ(s283, s284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound284')).
% 6.45/5.15 tff(22778,plain,
% 6.45/5.15 (succ(s283, s284)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 6.45/5.15 tff(22779,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22780,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.15 tff(22781,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 6.45/5.15 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 6.45/5.15 tff(22782,plain,
% 6.45/5.15 (trans(s283, s284)),
% 6.45/5.15 inference(unit_resolution,[status(thm)],[22781, 22778, 57])).
% 6.45/5.15 tff(22783,plain,
% 6.45/5.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s283, s284)) | node7(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s283, s284)) | node7(s283, s284))),
% 6.45/5.15 inference(rewrite,[status(thm)],[])).
% 6.45/5.15 tff(22784,plain,
% 6.45/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s283, s284)) | node7(s283, s284))),
% 6.45/5.15 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22785,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s283, s284)) | node7(s283, s284)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 6.45/5.16 tff(22786,plain,
% 6.45/5.16 (node7(s283, s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22785, 217, 22782])).
% 6.45/5.16 tff(22787,plain,
% 6.45/5.16 (((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, 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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22788,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22789,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node7(s283, s284)) | m_main_v_state1(s284, c_t1)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 6.45/5.16 tff(22790,plain,
% 6.45/5.16 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_state1(s284, c_t1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22789, 598, 22786])).
% 6.45/5.16 tff(22791,plain,
% 6.45/5.16 (m_main_v_state1(s284, c_t1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22790, 22775, 22719])).
% 6.45/5.16 tff(22792,plain,
% 6.45/5.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22793,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22794,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s284, c_n1)) | (~m_main_v_state1(s284, c_t1))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 6.45/5.16 tff(22795,plain,
% 6.45/5.16 (~m_main_v_state1(s284, c_n1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22794, 35, 22791])).
% 6.45/5.16 tff(22796,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s284, c_n1) | (~node1(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s284, c_n1) | (~node1(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22797,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s284, c_n1) | (~node1(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22798,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s284, c_n1) | (~node1(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 6.45/5.16 tff(22799,plain,
% 6.45/5.16 (~node1(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22798, 249, 22795])).
% 6.45/5.16 tff(22800,plain,
% 6.45/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s283, s284)) | node18(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s283, s284)) | node18(s283, s284))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22801,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s283, s284)) | node18(s283, s284))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22802,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s283, s284)) | node18(s283, s284)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 6.45/5.16 tff(22803,plain,
% 6.45/5.16 (node18(s283, s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22802, 71, 22782])).
% 6.45/5.16 tff(22804,plain,
% 6.45/5.16 (((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, 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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22805,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22806,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | (~node18(s283, s284)) | m_main_v_turn(s284, c_2)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 6.45/5.16 tff(22807,plain,
% 6.45/5.16 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | m_main_v_turn(s284, c_2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22806, 625, 22803])).
% 6.45/5.16 tff(22808,plain,
% 6.45/5.16 (m_main_v_turn(s284, c_2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22807, 22775, 22719])).
% 6.45/5.16 tff(22809,plain,
% 6.45/5.16 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22810,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22811,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s284, c_1)) | (~m_main_v_turn(s284, c_2))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 6.45/5.16 tff(22812,plain,
% 6.45/5.16 (~m_main_v_turn(s284, c_1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22811, 322, 22808])).
% 6.45/5.16 tff(22813,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s284, c_1) | (~node5(s284)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s284, c_1) | (~node5(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22814,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s284, c_1) | (~node5(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22815,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s284, c_1) | (~node5(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 6.45/5.16 tff(22816,plain,
% 6.45/5.16 (~node5(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22815, 641, 22812])).
% 6.45/5.16 tff(22817,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s284, c_n1) | (~node2(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s284, c_n1) | (~node2(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22818,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s284, c_n1) | (~node2(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22819,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s284, c_n1) | (~node2(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 6.45/5.16 tff(22820,plain,
% 6.45/5.16 (~node2(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22819, 652, 22795])).
% 6.45/5.16 tff(22821,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s284, c_n1) | (~node3(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s284, c_n1) | (~node3(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22822,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s284, c_n1) | (~node3(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22823,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s284, c_n1) | (~node3(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 6.45/5.16 tff(22824,plain,
% 6.45/5.16 (~node3(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22823, 663, 22795])).
% 6.45/5.16 tff(22825,plain,
% 6.45/5.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22826,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22827,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s284, c_t1)) | (~m_main_v_state1(s284, c_c1))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22826, 22825])).
% 6.45/5.16 tff(22828,plain,
% 6.45/5.16 (~m_main_v_state1(s284, c_c1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22827, 289, 22791])).
% 6.45/5.16 tff(22829,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22830,plain,
% 6.45/5.16 (((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2))) <=> (m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22831,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, 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(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283))))),
% 6.45/5.16 inference(monotonicity,[status(thm)],[22830])).
% 6.45/5.16 tff(22832,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, 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(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283)))),
% 6.45/5.16 inference(transitivity,[status(thm)],[22831, 22829])).
% 6.45/5.16 tff(22833,plain,
% 6.45/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s282, s283)) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22834,plain,
% 6.45/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s282, c_n2) | (~m_main_v_state2(s283, c_n2)) | (~node13(s282, s283))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 6.45/5.16 tff(22835,plain,
% 6.45/5.16 (~m_main_v_state2(s283, c_n2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22834, 416, 22676, 22768])).
% 6.45/5.16 tff(22836,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s283, c_n2) | (~node9(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s283, c_n2) | (~node9(s283)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22837,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s283, c_n2) | (~node9(s283)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22838,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s283, c_n2) | (~node9(s283))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 6.45/5.16 tff(22839,plain,
% 6.45/5.16 (~node9(s283)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22838, 311, 22835])).
% 6.45/5.16 tff(22840,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s283, c_n2) | (~node10(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s283, c_n2) | (~node10(s283)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22841,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s283, c_n2) | (~node10(s283)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22842,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s283, c_n2) | (~node10(s283))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 6.45/5.16 tff(22843,plain,
% 6.45/5.16 (~node10(s283)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22842, 372, 22835])).
% 6.45/5.16 tff(22844,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s283, c_n2) | (~node8(s283)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s283, c_n2) | (~node8(s283)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22845,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s283, c_n2) | (~node8(s283)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22846,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s283, c_n2) | (~node8(s283))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 6.45/5.16 tff(22847,plain,
% 6.45/5.16 (~node8(s283)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22846, 383, 22835])).
% 6.45/5.16 tff(22848,plain,
% 6.45/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s283, s284)) | node14(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s283, s284)) | node14(s283, s284))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22849,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s283, s284)) | node14(s283, s284))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22850,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s283, s284)) | node14(s283, s284)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22849, 22848])).
% 6.45/5.16 tff(22851,plain,
% 6.45/5.16 (node14(s283, s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22850, 130, 22782])).
% 6.45/5.16 tff(22852,plain,
% 6.45/5.16 (((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, 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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22853,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22854,plain,
% 6.45/5.16 ((~![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(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | (~node14(s283, s284)) | m_main_v_state2(s284, c_c2)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22853, 22852])).
% 6.45/5.16 tff(22855,plain,
% 6.45/5.16 ((~m_main_v_state1(s283, c_n1)) | (~m_main_v_state2(s283, c_t2)) | node9(s283) | node8(s283) | node10(s283) | m_main_v_state2(s284, c_c2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22854, 704, 22851])).
% 6.45/5.16 tff(22856,plain,
% 6.45/5.16 (m_main_v_state2(s284, c_c2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22855, 22847, 22719, 22775, 22843, 22839])).
% 6.45/5.16 tff(22857,plain,
% 6.45/5.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22858,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22859,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_n2)) | (~m_main_v_state2(s284, c_c2))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22858, 22857])).
% 6.45/5.16 tff(22860,plain,
% 6.45/5.16 (~m_main_v_state2(s284, c_n2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22859, 716, 22856])).
% 6.45/5.16 tff(22861,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s284, c_n2) | (~node4(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s284, c_n2) | (~node4(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22862,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s284, c_n2) | (~node4(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22863,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s284, c_n2) | (~node4(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 6.45/5.16 tff(22864,plain,
% 6.45/5.16 (~node4(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22863, 162, 22860])).
% 6.45/5.16 tff(22865,plain,
% 6.45/5.16 (succ(s284, s285) <=> succ(s284, s285)),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22866,axiom,(succ(s284, s285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound285')).
% 6.45/5.16 tff(22867,plain,
% 6.45/5.16 (succ(s284, s285)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 6.45/5.16 tff(22868,plain,
% 6.45/5.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22869,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22870,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22869, 22868])).
% 6.45/5.16 tff(22871,plain,
% 6.45/5.16 (trans(s284, s285)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22870, 22867, 57])).
% 6.45/5.16 tff(22872,plain,
% 6.45/5.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s284, s285)) | node7(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s284, s285)) | node7(s284, s285))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22873,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s284, s285)) | node7(s284, s285))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22874,plain,
% 6.45/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s284, s285)) | node7(s284, s285)),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22873, 22872])).
% 6.45/5.16 tff(22875,plain,
% 6.45/5.16 (node7(s284, s285)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22874, 217, 22871])).
% 6.45/5.16 tff(22876,plain,
% 6.45/5.16 (((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))) <=> ((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22877,plain,
% 6.45/5.16 ((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22878,plain,
% 6.45/5.16 ((~![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(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285) | (~node7(s284, s285))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22877, 22876])).
% 6.45/5.16 tff(22879,plain,
% 6.45/5.16 (m_main_v_state1(s284, c_c1) | node1(s284) | node2(s284) | node3(s284) | node4(s284) | node5(s284) | node6(s284, s285)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22878, 745, 22875])).
% 6.45/5.16 tff(22880,plain,
% 6.45/5.16 (node6(s284, s285)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22879, 22864, 22828, 22824, 22820, 22816, 22799])).
% 6.45/5.16 tff(22881,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22882,plain,
% 6.45/5.16 (((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1)) <=> ((~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22883,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, 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(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285))))),
% 6.45/5.16 inference(monotonicity,[status(thm)],[22882])).
% 6.45/5.16 tff(22884,plain,
% 6.45/5.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, 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(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285)))),
% 6.45/5.16 inference(transitivity,[status(thm)],[22883, 22881])).
% 6.45/5.16 tff(22885,plain,
% 6.45/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s284, s285)) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22886,plain,
% 6.45/5.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s284, c_t1)) | m_main_v_state1(s285, c_t1) | (~node6(s284, s285))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22885, 22884])).
% 6.45/5.16 tff(22887,plain,
% 6.45/5.16 (m_main_v_state1(s285, c_t1)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22886, 760, 22791, 22880])).
% 6.45/5.16 tff(22888,plain,
% 6.45/5.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22889,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22890,plain,
% 6.45/5.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s284, c_t2)) | (~m_main_v_state2(s284, c_c2))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 6.45/5.16 tff(22891,plain,
% 6.45/5.16 (~m_main_v_state2(s284, c_t2)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22890, 173, 22856])).
% 6.45/5.16 tff(22892,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s284, c_t2) | (~node12(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s284, c_t2) | (~node12(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22893,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s284, c_t2) | (~node12(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22894,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s284, c_t2) | (~node12(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22893, 22892])).
% 6.45/5.16 tff(22895,plain,
% 6.45/5.16 (~node12(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22894, 778, 22891])).
% 6.45/5.16 tff(22896,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s284, c_n1) | (~node11(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s284, c_n1) | (~node11(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22897,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s284, c_n1) | (~node11(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22898,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s284, c_n1) | (~node11(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 6.45/5.16 tff(22899,plain,
% 6.45/5.16 (~node11(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22898, 361, 22795])).
% 6.45/5.16 tff(22900,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s284, c_c1) | (~node10(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s284, c_c1) | (~node10(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22901,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s284, c_c1) | (~node10(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22902,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s284, c_c1) | (~node10(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 6.45/5.16 tff(22903,plain,
% 6.45/5.16 (~node10(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22902, 793, 22828])).
% 6.45/5.16 tff(22904,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s284, c_n1) | (~node9(s284)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s284, c_n1) | (~node9(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22905,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s284, c_n1) | (~node9(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22906,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s284, c_n1) | (~node9(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22905, 22904])).
% 6.45/5.16 tff(22907,plain,
% 6.45/5.16 (~node9(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22906, 804, 22795])).
% 6.45/5.16 tff(22908,plain,
% 6.45/5.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s284, c_n2) | (~node8(s284)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s284, c_n2) | (~node8(s284)))),
% 6.45/5.16 inference(rewrite,[status(thm)],[])).
% 6.45/5.16 tff(22909,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s284, c_n2) | (~node8(s284)))),
% 6.45/5.16 inference(quant_inst,[status(thm)],[])).
% 6.45/5.16 tff(22910,plain,
% 6.45/5.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s284, c_n2) | (~node8(s284))),
% 6.45/5.16 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 6.45/5.16 tff(22911,plain,
% 6.45/5.16 (~node8(s284)),
% 6.45/5.16 inference(unit_resolution,[status(thm)],[22910, 383, 22860])).
% 6.45/5.17 tff(22912,plain,
% 6.45/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s284, s285)) | node14(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s284, s285)) | node14(s284, s285))),
% 6.45/5.17 inference(rewrite,[status(thm)],[])).
% 6.45/5.17 tff(22913,plain,
% 6.45/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s284, s285)) | node14(s284, s285))),
% 6.45/5.17 inference(quant_inst,[status(thm)],[])).
% 6.45/5.17 tff(22914,plain,
% 6.45/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s284, s285)) | node14(s284, s285)),
% 6.45/5.17 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 6.45/5.17 tff(22915,plain,
% 6.45/5.17 (node14(s284, s285)),
% 6.45/5.17 inference(unit_resolution,[status(thm)],[22914, 130, 22871])).
% 6.45/5.17 tff(22916,plain,
% 6.45/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, 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(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.17 inference(rewrite,[status(thm)],[])).
% 6.45/5.17 tff(22917,plain,
% 6.45/5.17 (((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2)) <=> (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.17 inference(rewrite,[status(thm)],[])).
% 6.45/5.17 tff(22918,plain,
% 6.45/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, 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(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2))))),
% 6.45/5.17 inference(monotonicity,[status(thm)],[22917])).
% 6.45/5.17 tff(22919,plain,
% 6.45/5.17 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, 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(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2)))),
% 6.45/5.17 inference(transitivity,[status(thm)],[22918, 22916])).
% 6.45/5.17 tff(22920,plain,
% 6.45/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s284, c_c2)) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | m_main_v_state2(s285, c_n2))),
% 6.45/5.17 inference(quant_inst,[status(thm)],[])).
% 6.45/5.17 tff(22921,plain,
% 6.45/5.17 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~node14(s284, s285)) | (~m_main_v_state2(s284, c_c2))),
% 6.45/5.17 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 6.53/5.17 tff(22922,plain,
% 6.53/5.17 (m_main_v_state2(s285, c_n2) | node9(s284) | node8(s284) | node10(s284) | node11(s284) | node12(s284) | (~m_main_v_state2(s284, c_c2))),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22921, 826, 22915])).
% 6.53/5.17 tff(22923,plain,
% 6.53/5.17 (m_main_v_state2(s285, c_n2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22922, 22911, 22856, 22907, 22903, 22899, 22895])).
% 6.53/5.17 tff(22924,plain,
% 6.53/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22925,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22926,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_t2))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22925, 22924])).
% 6.53/5.17 tff(22927,plain,
% 6.53/5.17 (~m_main_v_state2(s285, c_t2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22926, 10, 22923])).
% 6.53/5.17 tff(22928,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s285, c_t2) | (~node15(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s285, c_t2) | (~node15(s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22929,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s285, c_t2) | (~node15(s285)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22930,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s285, c_t2) | (~node15(s285))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22929, 22928])).
% 6.53/5.17 tff(22931,plain,
% 6.53/5.17 (~node15(s285)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22930, 21, 22927])).
% 6.53/5.17 tff(22932,plain,
% 6.53/5.17 (succ(s285, s286) <=> succ(s285, s286)),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22933,axiom,(succ(s285, s286)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound286')).
% 6.53/5.17 tff(22934,plain,
% 6.53/5.17 (succ(s285, s286)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 6.53/5.17 tff(22935,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22936,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22937,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22936, 22935])).
% 6.53/5.17 tff(22938,plain,
% 6.53/5.17 (trans(s285, s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22937, 22934, 57])).
% 6.53/5.17 tff(22939,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s285, s286)) | node18(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s285, s286)) | node18(s285, s286))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22940,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s285, s286)) | node18(s285, s286))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22941,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s285, s286)) | node18(s285, s286)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 6.53/5.17 tff(22942,plain,
% 6.53/5.17 (node18(s285, s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22941, 71, 22938])).
% 6.53/5.17 tff(22943,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~m_main_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(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, 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(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22944,plain,
% 6.53/5.17 (((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1)) <=> (node15(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22945,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~m_main_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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, 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(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)))),
% 6.53/5.17 inference(monotonicity,[status(thm)],[22944])).
% 6.53/5.17 tff(22946,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~m_main_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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, 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(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1))),
% 6.53/5.17 inference(transitivity,[status(thm)],[22945, 22943])).
% 6.53/5.17 tff(22947,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~m_main_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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node15(s285) | (~node18(s285, s286)) | m_main_v_turn(s286, c_1))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22948,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~m_main_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(s285) | (~node18(s285, s286)) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22947, 22946])).
% 6.53/5.17 tff(22949,plain,
% 6.53/5.17 (node15(s285) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_turn(s286, c_1)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22948, 863, 22942])).
% 6.53/5.17 tff(22950,plain,
% 6.53/5.17 (m_main_v_turn(s286, c_1)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22949, 22931, 22923, 22887])).
% 6.53/5.17 tff(22951,plain,
% 6.53/5.17 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22952,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22953,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s286, c_1)) | (~m_main_v_turn(s286, c_2))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22952, 22951])).
% 6.53/5.17 tff(22954,plain,
% 6.53/5.17 (~m_main_v_turn(s286, c_2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22953, 322, 22950])).
% 6.53/5.17 tff(22955,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s286, c_2) | (~node12(s286)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s286, c_2) | (~node12(s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22956,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s286, c_2) | (~node12(s286)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22957,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s286, c_2) | (~node12(s286))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22956, 22955])).
% 6.53/5.17 tff(22958,plain,
% 6.53/5.17 (~node12(s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22957, 350, 22954])).
% 6.53/5.17 tff(22959,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s285, s286)) | node14(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s285, s286)) | node14(s285, s286))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22960,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s285, s286)) | node14(s285, s286))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22961,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s285, s286)) | node14(s285, s286)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22960, 22959])).
% 6.53/5.17 tff(22962,plain,
% 6.53/5.17 (node14(s285, s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22961, 130, 22938])).
% 6.53/5.17 tff(22963,plain,
% 6.53/5.17 (((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, 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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22964,plain,
% 6.53/5.17 ((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22965,plain,
% 6.53/5.17 ((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | (~node14(s285, s286)) | m_main_v_state2(s286, c_t2)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 6.53/5.17 tff(22966,plain,
% 6.53/5.17 ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state2(s286, c_t2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22965, 893, 22962])).
% 6.53/5.17 tff(22967,plain,
% 6.53/5.17 (m_main_v_state2(s286, c_t2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22966, 22887, 22923])).
% 6.53/5.17 tff(22968,plain,
% 6.53/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22969,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22970,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s286, c_n2)) | (~m_main_v_state2(s286, c_t2))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 6.53/5.17 tff(22971,plain,
% 6.53/5.17 (~m_main_v_state2(s286, c_n2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22970, 10, 22967])).
% 6.53/5.17 tff(22972,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s286, c_n2) | (~node8(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s286, c_n2) | (~node8(s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22973,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s286, c_n2) | (~node8(s286)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22974,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s286, c_n2) | (~node8(s286))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22973, 22972])).
% 6.53/5.17 tff(22975,plain,
% 6.53/5.17 (~node8(s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22974, 383, 22971])).
% 6.53/5.17 tff(22976,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s286, c_n2) | (~node9(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s286, c_n2) | (~node9(s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22977,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s286, c_n2) | (~node9(s286)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22978,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s286, c_n2) | (~node9(s286))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22977, 22976])).
% 6.53/5.17 tff(22979,plain,
% 6.53/5.17 (~node9(s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22978, 311, 22971])).
% 6.53/5.17 tff(22980,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s286, c_n2) | (~node10(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s286, c_n2) | (~node10(s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22981,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s286, c_n2) | (~node10(s286)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22982,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s286, c_n2) | (~node10(s286))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 6.53/5.17 tff(22983,plain,
% 6.53/5.17 (~node10(s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22982, 372, 22971])).
% 6.53/5.17 tff(22984,plain,
% 6.53/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22985,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22986,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s286, c_t2)) | (~m_main_v_state2(s286, c_c2))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22985, 22984])).
% 6.53/5.17 tff(22987,plain,
% 6.53/5.17 (~m_main_v_state2(s286, c_c2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22986, 173, 22967])).
% 6.53/5.17 tff(22988,plain,
% 6.53/5.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22989,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22990,plain,
% 6.53/5.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s285, c_n2)) | (~m_main_v_state2(s285, c_c2))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22989, 22988])).
% 6.53/5.17 tff(22991,plain,
% 6.53/5.17 (~m_main_v_state2(s285, c_c2)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22990, 716, 22923])).
% 6.53/5.17 tff(22992,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s285, c_c2) | (~node3(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s285, c_c2) | (~node3(s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22993,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s285, c_c2) | (~node3(s285)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(22994,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s285, c_c2) | (~node3(s285))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[22993, 22992])).
% 6.53/5.17 tff(22995,plain,
% 6.53/5.17 (~node3(s285)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[22994, 184, 22991])).
% 6.53/5.17 tff(22996,plain,
% 6.53/5.17 (((~![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(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22997,plain,
% 6.53/5.17 (((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1))) <=> (m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(22998,plain,
% 6.53/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, 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(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285))))),
% 6.53/5.17 inference(monotonicity,[status(thm)],[22997])).
% 6.53/5.17 tff(22999,plain,
% 6.53/5.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, 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(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285)))),
% 6.53/5.17 inference(transitivity,[status(thm)],[22998, 22996])).
% 6.53/5.17 tff(23000,plain,
% 6.53/5.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s284, s285)) | m_main_v_state1(s284, c_n1) | (~m_main_v_state1(s285, c_n1)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(23001,plain,
% 6.53/5.17 ((~![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(s284, c_n1) | (~m_main_v_state1(s285, c_n1)) | (~node6(s284, s285))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 6.53/5.17 tff(23002,plain,
% 6.53/5.17 (~m_main_v_state1(s285, c_n1)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[23001, 936, 22795, 22880])).
% 6.53/5.17 tff(23003,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s285, c_n1) | (~node2(s285)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s285, c_n1) | (~node2(s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(23004,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s285, c_n1) | (~node2(s285)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(23005,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s285, c_n1) | (~node2(s285))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 6.53/5.17 tff(23006,plain,
% 6.53/5.17 (~node2(s285)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[23005, 652, 23002])).
% 6.53/5.17 tff(23007,plain,
% 6.53/5.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s285, c_t2) | (~node1(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s285, c_t2) | (~node1(s285)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(23008,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s285, c_t2) | (~node1(s285)))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(23009,plain,
% 6.53/5.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s285, c_t2) | (~node1(s285))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 6.53/5.17 tff(23010,plain,
% 6.53/5.17 (~node1(s285)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[23009, 206, 22927])).
% 6.53/5.17 tff(23011,plain,
% 6.53/5.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s285, s286)) | node7(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s285, s286)) | node7(s285, s286))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(23012,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s285, s286)) | node7(s285, s286))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(23013,plain,
% 6.53/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s285, s286)) | node7(s285, s286)),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[23012, 23011])).
% 6.53/5.17 tff(23014,plain,
% 6.53/5.17 (node7(s285, s286)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[23013, 217, 22938])).
% 6.53/5.17 tff(23015,plain,
% 6.53/5.17 (((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(23016,plain,
% 6.53/5.17 (((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1)) <=> ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 6.53/5.17 inference(rewrite,[status(thm)],[])).
% 6.53/5.17 tff(23017,plain,
% 6.53/5.17 (((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, 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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286))))),
% 6.53/5.17 inference(monotonicity,[status(thm)],[23016])).
% 6.53/5.17 tff(23018,plain,
% 6.53/5.17 (((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, 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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)))),
% 6.53/5.17 inference(transitivity,[status(thm)],[23017, 23015])).
% 6.53/5.17 tff(23019,plain,
% 6.53/5.17 ((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286)) | m_main_v_state1(s286, c_c1))),
% 6.53/5.17 inference(quant_inst,[status(thm)],[])).
% 6.53/5.17 tff(23020,plain,
% 6.53/5.17 ((~![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(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285) | (~node7(s285, s286))),
% 6.53/5.17 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 6.53/5.17 tff(23021,plain,
% 6.53/5.17 ((~m_main_v_state1(s285, c_t1)) | (~m_main_v_state2(s285, c_n2)) | m_main_v_state1(s286, c_c1) | node1(s285) | node2(s285) | node3(s285)),
% 6.53/5.17 inference(unit_resolution,[status(thm)],[23020, 965, 23014])).
% 6.53/5.17 tff(23022,plain,
% 6.53/5.17 (m_main_v_state1(s286, c_c1)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23021, 23010, 22923, 22887, 23006, 22995])).
% 6.53/5.18 tff(23023,plain,
% 6.53/5.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23024,plain,
% 6.53/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23025,plain,
% 6.53/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_n1)) | (~m_main_v_state1(s286, c_c1))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23024, 23023])).
% 6.53/5.18 tff(23026,plain,
% 6.53/5.18 (~m_main_v_state1(s286, c_n1)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23025, 449, 23022])).
% 6.53/5.18 tff(23027,plain,
% 6.53/5.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s286, c_n1) | (~node11(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s286, c_n1) | (~node11(s286)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23028,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s286, c_n1) | (~node11(s286)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23029,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s286, c_n1) | (~node11(s286))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 6.53/5.18 tff(23030,plain,
% 6.53/5.18 (~node11(s286)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23029, 361, 23026])).
% 6.53/5.18 tff(23031,plain,
% 6.53/5.18 (succ(s286, s287) <=> succ(s286, s287)),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23032,axiom,(succ(s286, s287)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound287')).
% 6.53/5.18 tff(23033,plain,
% 6.53/5.18 (succ(s286, s287)),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23032, 23031])).
% 6.53/5.18 tff(23034,plain,
% 6.53/5.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23035,plain,
% 6.53/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23036,plain,
% 6.53/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23035, 23034])).
% 6.53/5.18 tff(23037,plain,
% 6.53/5.18 (trans(s286, s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23036, 23033, 57])).
% 6.53/5.18 tff(23038,plain,
% 6.53/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s286, s287)) | node14(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s286, s287)) | node14(s286, s287))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23039,plain,
% 6.53/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s286, s287)) | node14(s286, s287))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23040,plain,
% 6.53/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s286, s287)) | node14(s286, s287)),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 6.53/5.18 tff(23041,plain,
% 6.53/5.18 (node14(s286, s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23040, 130, 23037])).
% 6.53/5.18 tff(23042,plain,
% 6.53/5.18 (((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))) <=> ((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23043,plain,
% 6.53/5.18 ((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23044,plain,
% 6.53/5.18 ((~![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(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287) | (~node14(s286, s287))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 6.53/5.18 tff(23045,plain,
% 6.53/5.18 (m_main_v_state2(s286, c_c2) | node9(s286) | node8(s286) | node10(s286) | node11(s286) | node12(s286) | node13(s286, s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23044, 401, 23041])).
% 6.53/5.18 tff(23046,plain,
% 6.53/5.18 (node13(s286, s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23045, 23030, 22987, 22983, 22979, 22975, 22958])).
% 6.53/5.18 tff(23047,plain,
% 6.53/5.18 (((~![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(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23048,plain,
% 6.53/5.18 (((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2))) <=> (m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23049,plain,
% 6.53/5.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, 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(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287))))),
% 6.53/5.18 inference(monotonicity,[status(thm)],[23048])).
% 6.53/5.18 tff(23050,plain,
% 6.53/5.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, 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(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287)))),
% 6.53/5.18 inference(transitivity,[status(thm)],[23049, 23047])).
% 6.53/5.18 tff(23051,plain,
% 6.53/5.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s286, s287)) | m_main_v_state2(s286, c_n2) | (~m_main_v_state2(s287, c_n2)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23052,plain,
% 6.53/5.18 ((~![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(s286, c_n2) | (~m_main_v_state2(s287, c_n2)) | (~node13(s286, s287))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23051, 23050])).
% 6.53/5.18 tff(23053,plain,
% 6.53/5.18 (~m_main_v_state2(s287, c_n2)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23052, 416, 22971, 23046])).
% 6.53/5.18 tff(23054,plain,
% 6.53/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s287, c_n2) | (~node9(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s287, c_n2) | (~node9(s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23055,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s287, c_n2) | (~node9(s287)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23056,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s287, c_n2) | (~node9(s287))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 6.53/5.18 tff(23057,plain,
% 6.53/5.18 (~node9(s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23056, 311, 23053])).
% 6.53/5.18 tff(23058,plain,
% 6.53/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s287, c_n2) | (~node10(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s287, c_n2) | (~node10(s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23059,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s287, c_n2) | (~node10(s287)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23060,plain,
% 6.53/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s287, c_n2) | (~node10(s287))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 6.53/5.18 tff(23061,plain,
% 6.53/5.18 (~node10(s287)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23060, 372, 23053])).
% 6.53/5.18 tff(23062,plain,
% 6.53/5.18 (((~![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(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23063,plain,
% 6.53/5.18 (((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2)) <=> ((~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23064,plain,
% 6.53/5.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, 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(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287))))),
% 6.53/5.18 inference(monotonicity,[status(thm)],[23063])).
% 6.53/5.18 tff(23065,plain,
% 6.53/5.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, 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(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287)))),
% 6.53/5.18 inference(transitivity,[status(thm)],[23064, 23062])).
% 6.53/5.18 tff(23066,plain,
% 6.53/5.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s286, s287)) | (~m_main_v_state2(s286, c_t2)) | m_main_v_state2(s287, c_t2))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23067,plain,
% 6.53/5.18 ((~![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(s286, c_t2)) | m_main_v_state2(s287, c_t2) | (~node13(s286, s287))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 6.53/5.18 tff(23068,plain,
% 6.53/5.18 (m_main_v_state2(s287, c_t2)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23067, 563, 22967, 23046])).
% 6.53/5.18 tff(23069,plain,
% 6.53/5.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))),
% 6.53/5.18 inference(rewrite,[status(thm)],[])).
% 6.53/5.18 tff(23070,plain,
% 6.53/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1)))),
% 6.53/5.18 inference(quant_inst,[status(thm)],[])).
% 6.53/5.18 tff(23071,plain,
% 6.53/5.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s286, c_t1)) | (~m_main_v_state1(s286, c_c1))),
% 6.53/5.18 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 6.53/5.18 tff(23072,plain,
% 6.53/5.18 (~m_main_v_state1(s286, c_t1)),
% 6.53/5.18 inference(unit_resolution,[status(thm)],[23071, 289, 23022])).
% 6.53/5.18 tff(23073,plain,
% 6.53/5.18 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s286, c_t1) | (~node5(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s286, c_t1) | (~node5(s286)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23074,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s286, c_t1) | (~node5(s286)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23075,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s286, c_t1) | (~node5(s286))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23074, 23073])).
% 6.55/5.18 tff(23076,plain,
% 6.55/5.18 (~node5(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23075, 300, 23072])).
% 6.55/5.18 tff(23077,plain,
% 6.55/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s286, c_n2) | (~node4(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s286, c_n2) | (~node4(s286)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23078,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s286, c_n2) | (~node4(s286)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23079,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s286, c_n2) | (~node4(s286))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23078, 23077])).
% 6.55/5.18 tff(23080,plain,
% 6.55/5.18 (~node4(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23079, 162, 22971])).
% 6.55/5.18 tff(23081,plain,
% 6.55/5.18 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s286, c_c2) | (~node3(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s286, c_c2) | (~node3(s286)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23082,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s286, c_c2) | (~node3(s286)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23083,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s286, c_c2) | (~node3(s286))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23082, 23081])).
% 6.55/5.18 tff(23084,plain,
% 6.55/5.18 (~node3(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23083, 184, 22987])).
% 6.55/5.18 tff(23085,plain,
% 6.55/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s286, c_n2) | (~node2(s286)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s286, c_n2) | (~node2(s286)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23086,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s286, c_n2) | (~node2(s286)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23087,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s286, c_n2) | (~node2(s286))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23086, 23085])).
% 6.55/5.18 tff(23088,plain,
% 6.55/5.18 (~node2(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23087, 195, 22971])).
% 6.55/5.18 tff(23089,plain,
% 6.55/5.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s286, c_n1) | (~node1(s286)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s286, c_n1) | (~node1(s286)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23090,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s286, c_n1) | (~node1(s286)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23091,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s286, c_n1) | (~node1(s286))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 6.55/5.18 tff(23092,plain,
% 6.55/5.18 (~node1(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23091, 249, 23026])).
% 6.55/5.18 tff(23093,plain,
% 6.55/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s286, s287)) | node7(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s286, s287)) | node7(s286, s287))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23094,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s286, s287)) | node7(s286, s287))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23095,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s286, s287)) | node7(s286, s287)),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23094, 23093])).
% 6.55/5.18 tff(23096,plain,
% 6.55/5.18 (node7(s286, s287)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23095, 217, 23037])).
% 6.55/5.18 tff(23097,plain,
% 6.55/5.18 (((~![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(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23098,plain,
% 6.55/5.18 (((~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1)) <=> (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23099,plain,
% 6.55/5.18 (((~![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(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, 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(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287))))),
% 6.55/5.18 inference(monotonicity,[status(thm)],[23098])).
% 6.55/5.18 tff(23100,plain,
% 6.55/5.18 (((~![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(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, 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(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)))),
% 6.55/5.18 inference(transitivity,[status(thm)],[23099, 23097])).
% 6.55/5.18 tff(23101,plain,
% 6.55/5.18 ((~![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(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287)) | m_main_v_state1(s287, c_n1))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23102,plain,
% 6.55/5.18 ((~![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(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286) | (~node7(s286, s287))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 6.55/5.18 tff(23103,plain,
% 6.55/5.18 (m_main_v_state1(s287, c_n1) | (~m_main_v_state1(s286, c_c1)) | node1(s286) | node2(s286) | node3(s286) | node4(s286) | node5(s286)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23102, 478, 23096])).
% 6.55/5.18 tff(23104,plain,
% 6.55/5.18 (m_main_v_state1(s287, c_n1)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23103, 23092, 23022, 23088, 23084, 23080, 23076])).
% 6.55/5.18 tff(23105,plain,
% 6.55/5.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s287, c_n2) | (~node8(s287)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s287, c_n2) | (~node8(s287)))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23106,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s287, c_n2) | (~node8(s287)))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23107,plain,
% 6.55/5.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s287, c_n2) | (~node8(s287))),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23106, 23105])).
% 6.55/5.18 tff(23108,plain,
% 6.55/5.18 (~node8(s287)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23107, 383, 23053])).
% 6.55/5.18 tff(23109,plain,
% 6.55/5.18 (succ(s287, s288) <=> succ(s287, s288)),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23110,axiom,(succ(s287, s288)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound288')).
% 6.55/5.18 tff(23111,plain,
% 6.55/5.18 (succ(s287, s288)),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23110, 23109])).
% 6.55/5.18 tff(23112,plain,
% 6.55/5.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23113,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23114,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23113, 23112])).
% 6.55/5.18 tff(23115,plain,
% 6.55/5.18 (trans(s287, s288)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23114, 23111, 57])).
% 6.55/5.18 tff(23116,plain,
% 6.55/5.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s287, s288)) | node14(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s287, s288)) | node14(s287, s288))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23117,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s287, s288)) | node14(s287, s288))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23118,plain,
% 6.55/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s287, s288)) | node14(s287, s288)),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 6.55/5.18 tff(23119,plain,
% 6.55/5.18 (node14(s287, s288)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23118, 130, 23115])).
% 6.55/5.18 tff(23120,plain,
% 6.55/5.18 (((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, 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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2))),
% 6.55/5.18 inference(rewrite,[status(thm)],[])).
% 6.55/5.18 tff(23121,plain,
% 6.55/5.18 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2))),
% 6.55/5.18 inference(quant_inst,[status(thm)],[])).
% 6.55/5.18 tff(23122,plain,
% 6.55/5.18 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | (~node14(s287, s288)) | m_main_v_state2(s288, c_c2)),
% 6.55/5.18 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 6.55/5.18 tff(23123,plain,
% 6.55/5.18 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | node9(s287) | node8(s287) | node10(s287) | m_main_v_state2(s288, c_c2)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23122, 704, 23119])).
% 6.55/5.18 tff(23124,plain,
% 6.55/5.18 (m_main_v_state2(s288, c_c2)),
% 6.55/5.18 inference(unit_resolution,[status(thm)],[23123, 23108, 23104, 23068, 23061, 23057])).
% 6.55/5.19 tff(23125,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23126,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23127,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_t2)) | (~m_main_v_state2(s288, c_c2))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 6.55/5.19 tff(23128,plain,
% 6.55/5.19 (~m_main_v_state2(s288, c_t2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23127, 173, 23124])).
% 6.55/5.19 tff(23129,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s288, c_t2) | (~node12(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s288, c_t2) | (~node12(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23130,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s288, c_t2) | (~node12(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23131,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s288, c_t2) | (~node12(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23130, 23129])).
% 6.55/5.19 tff(23132,plain,
% 6.55/5.19 (~node12(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23131, 778, 23128])).
% 6.55/5.19 tff(23133,plain,
% 6.55/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s287, s288)) | node7(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s287, s288)) | node7(s287, s288))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23134,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s287, s288)) | node7(s287, s288))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23135,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s287, s288)) | node7(s287, s288)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 6.55/5.19 tff(23136,plain,
% 6.55/5.19 (node7(s287, s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23135, 217, 23115])).
% 6.55/5.19 tff(23137,plain,
% 6.55/5.19 (((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, 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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23138,plain,
% 6.55/5.19 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23139,plain,
% 6.55/5.19 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node7(s287, s288)) | m_main_v_state1(s288, c_t1)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 6.55/5.19 tff(23140,plain,
% 6.55/5.19 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_state1(s288, c_t1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23139, 598, 23136])).
% 6.55/5.19 tff(23141,plain,
% 6.55/5.19 (m_main_v_state1(s288, c_t1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23140, 23068, 23104])).
% 6.55/5.19 tff(23142,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23143,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23144,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s288, c_n1)) | (~m_main_v_state1(s288, c_t1))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 6.55/5.19 tff(23145,plain,
% 6.55/5.19 (~m_main_v_state1(s288, c_n1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23144, 35, 23141])).
% 6.55/5.19 tff(23146,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s288, c_n1) | (~node11(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s288, c_n1) | (~node11(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23147,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s288, c_n1) | (~node11(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23148,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s288, c_n1) | (~node11(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 6.55/5.19 tff(23149,plain,
% 6.55/5.19 (~node11(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23148, 361, 23145])).
% 6.55/5.19 tff(23150,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23151,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23152,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s288, c_t1)) | (~m_main_v_state1(s288, c_c1))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 6.55/5.19 tff(23153,plain,
% 6.55/5.19 (~m_main_v_state1(s288, c_c1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23152, 289, 23141])).
% 6.55/5.19 tff(23154,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s288, c_c1) | (~node10(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s288, c_c1) | (~node10(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23155,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s288, c_c1) | (~node10(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23156,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s288, c_c1) | (~node10(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 6.55/5.19 tff(23157,plain,
% 6.55/5.19 (~node10(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23156, 793, 23153])).
% 6.55/5.19 tff(23158,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s288, c_n1) | (~node9(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s288, c_n1) | (~node9(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23159,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s288, c_n1) | (~node9(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23160,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s288, c_n1) | (~node9(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23159, 23158])).
% 6.55/5.19 tff(23161,plain,
% 6.55/5.19 (~node9(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23160, 804, 23145])).
% 6.55/5.19 tff(23162,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23163,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23164,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s288, c_n2)) | (~m_main_v_state2(s288, c_c2))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 6.55/5.19 tff(23165,plain,
% 6.55/5.19 (~m_main_v_state2(s288, c_n2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23164, 716, 23124])).
% 6.55/5.19 tff(23166,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s288, c_n2) | (~node8(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s288, c_n2) | (~node8(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23167,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s288, c_n2) | (~node8(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23168,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s288, c_n2) | (~node8(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23167, 23166])).
% 6.55/5.19 tff(23169,plain,
% 6.55/5.19 (~node8(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23168, 383, 23165])).
% 6.55/5.19 tff(23170,plain,
% 6.55/5.19 (succ(s288, s289) <=> succ(s288, s289)),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23171,axiom,(succ(s288, s289)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound289')).
% 6.55/5.19 tff(23172,plain,
% 6.55/5.19 (succ(s288, s289)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 6.55/5.19 tff(23173,plain,
% 6.55/5.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23174,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23175,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 6.55/5.19 tff(23176,plain,
% 6.55/5.19 (trans(s288, s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23175, 23172, 57])).
% 6.55/5.19 tff(23177,plain,
% 6.55/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s288, s289)) | node14(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s288, s289)) | node14(s288, s289))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23178,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s288, s289)) | node14(s288, s289))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23179,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s288, s289)) | node14(s288, s289)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 6.55/5.19 tff(23180,plain,
% 6.55/5.19 (node14(s288, s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23179, 130, 23176])).
% 6.55/5.19 tff(23181,plain,
% 6.55/5.19 (((~![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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, 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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23182,plain,
% 6.55/5.19 (((~m_main_v_state2(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2)) <=> (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23183,plain,
% 6.55/5.19 (((~![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(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, 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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2))))),
% 6.55/5.19 inference(monotonicity,[status(thm)],[23182])).
% 6.55/5.19 tff(23184,plain,
% 6.55/5.19 (((~![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(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, 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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2)))),
% 6.55/5.19 inference(transitivity,[status(thm)],[23183, 23181])).
% 6.55/5.19 tff(23185,plain,
% 6.55/5.19 ((~![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(s288, c_c2)) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | m_main_v_state2(s289, c_n2))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23186,plain,
% 6.55/5.19 ((~![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(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~node14(s288, s289)) | (~m_main_v_state2(s288, c_c2))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 6.55/5.19 tff(23187,plain,
% 6.55/5.19 (m_main_v_state2(s289, c_n2) | node9(s288) | node8(s288) | node10(s288) | node11(s288) | node12(s288) | (~m_main_v_state2(s288, c_c2))),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23186, 826, 23180])).
% 6.55/5.19 tff(23188,plain,
% 6.55/5.19 (m_main_v_state2(s289, c_n2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23187, 23169, 23124, 23161, 23157, 23149, 23132])).
% 6.55/5.19 tff(23189,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23190,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23191,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_c2))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 6.55/5.19 tff(23192,plain,
% 6.55/5.19 (~m_main_v_state2(s289, c_c2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23191, 716, 23188])).
% 6.55/5.19 tff(23193,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s289, c_c2) | (~node3(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s289, c_c2) | (~node3(s289)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23194,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s289, c_c2) | (~node3(s289)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23195,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s289, c_c2) | (~node3(s289))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 6.55/5.19 tff(23196,plain,
% 6.55/5.19 (~node3(s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23195, 184, 23192])).
% 6.55/5.19 tff(23197,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s288, c_n1) | (~node1(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s288, c_n1) | (~node1(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23198,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s288, c_n1) | (~node1(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23199,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s288, c_n1) | (~node1(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 6.55/5.19 tff(23200,plain,
% 6.55/5.19 (~node1(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23199, 249, 23145])).
% 6.55/5.19 tff(23201,plain,
% 6.55/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s287, s288)) | node18(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s287, s288)) | node18(s287, s288))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23202,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s287, s288)) | node18(s287, s288))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23203,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s287, s288)) | node18(s287, s288)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23202, 23201])).
% 6.55/5.19 tff(23204,plain,
% 6.55/5.19 (node18(s287, s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23203, 71, 23115])).
% 6.55/5.19 tff(23205,plain,
% 6.55/5.19 (((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, 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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23206,plain,
% 6.55/5.19 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23207,plain,
% 6.55/5.19 ((~![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(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | (~node18(s287, s288)) | m_main_v_turn(s288, c_2)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23206, 23205])).
% 6.55/5.19 tff(23208,plain,
% 6.55/5.19 ((~m_main_v_state1(s287, c_n1)) | (~m_main_v_state2(s287, c_t2)) | m_main_v_turn(s288, c_2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23207, 625, 23204])).
% 6.55/5.19 tff(23209,plain,
% 6.55/5.19 (m_main_v_turn(s288, c_2)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23208, 23068, 23104])).
% 6.55/5.19 tff(23210,plain,
% 6.55/5.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23211,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23212,plain,
% 6.55/5.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s288, c_1)) | (~m_main_v_turn(s288, c_2))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23211, 23210])).
% 6.55/5.19 tff(23213,plain,
% 6.55/5.19 (~m_main_v_turn(s288, c_1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23212, 322, 23209])).
% 6.55/5.19 tff(23214,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s288, c_1) | (~node5(s288)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s288, c_1) | (~node5(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23215,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s288, c_1) | (~node5(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23216,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s288, c_1) | (~node5(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23215, 23214])).
% 6.55/5.19 tff(23217,plain,
% 6.55/5.19 (~node5(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23216, 641, 23213])).
% 6.55/5.19 tff(23218,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s288, c_n1) | (~node2(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s288, c_n1) | (~node2(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23219,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s288, c_n1) | (~node2(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23220,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s288, c_n1) | (~node2(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23219, 23218])).
% 6.55/5.19 tff(23221,plain,
% 6.55/5.19 (~node2(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23220, 652, 23145])).
% 6.55/5.19 tff(23222,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s288, c_n1) | (~node3(s288)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s288, c_n1) | (~node3(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23223,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s288, c_n1) | (~node3(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23224,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s288, c_n1) | (~node3(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 6.55/5.19 tff(23225,plain,
% 6.55/5.19 (~node3(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23224, 663, 23145])).
% 6.55/5.19 tff(23226,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s288, c_n2) | (~node4(s288)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s288, c_n2) | (~node4(s288)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23227,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s288, c_n2) | (~node4(s288)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23228,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s288, c_n2) | (~node4(s288))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 6.55/5.19 tff(23229,plain,
% 6.55/5.19 (~node4(s288)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23228, 162, 23165])).
% 6.55/5.19 tff(23230,plain,
% 6.55/5.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s288, s289)) | node7(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s288, s289)) | node7(s288, s289))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23231,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s288, s289)) | node7(s288, s289))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23232,plain,
% 6.55/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s288, s289)) | node7(s288, s289)),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 6.55/5.19 tff(23233,plain,
% 6.55/5.19 (node7(s288, s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23232, 217, 23176])).
% 6.55/5.19 tff(23234,plain,
% 6.55/5.19 (((~![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(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))) <=> ((~![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(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23235,plain,
% 6.55/5.19 ((~![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(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23236,plain,
% 6.55/5.19 ((~![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(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289) | (~node7(s288, s289))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 6.55/5.19 tff(23237,plain,
% 6.55/5.19 (m_main_v_state1(s288, c_c1) | node1(s288) | node2(s288) | node3(s288) | node4(s288) | node5(s288) | node6(s288, s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23236, 745, 23233])).
% 6.55/5.19 tff(23238,plain,
% 6.55/5.19 (node6(s288, s289)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23237, 23229, 23153, 23225, 23221, 23217, 23200])).
% 6.55/5.19 tff(23239,plain,
% 6.55/5.19 (((~![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(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23240,plain,
% 6.55/5.19 (((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1))) <=> (m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23241,plain,
% 6.55/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, 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(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289))))),
% 6.55/5.19 inference(monotonicity,[status(thm)],[23240])).
% 6.55/5.19 tff(23242,plain,
% 6.55/5.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, 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(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289)))),
% 6.55/5.19 inference(transitivity,[status(thm)],[23241, 23239])).
% 6.55/5.19 tff(23243,plain,
% 6.55/5.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s288, s289)) | m_main_v_state1(s288, c_n1) | (~m_main_v_state1(s289, c_n1)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23244,plain,
% 6.55/5.19 ((~![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(s288, c_n1) | (~m_main_v_state1(s289, c_n1)) | (~node6(s288, s289))),
% 6.55/5.19 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 6.55/5.19 tff(23245,plain,
% 6.55/5.19 (~m_main_v_state1(s289, c_n1)),
% 6.55/5.19 inference(unit_resolution,[status(thm)],[23244, 936, 23145, 23238])).
% 6.55/5.19 tff(23246,plain,
% 6.55/5.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s289, c_n1) | (~node2(s289)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s289, c_n1) | (~node2(s289)))),
% 6.55/5.19 inference(rewrite,[status(thm)],[])).
% 6.55/5.19 tff(23247,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s289, c_n1) | (~node2(s289)))),
% 6.55/5.19 inference(quant_inst,[status(thm)],[])).
% 6.55/5.19 tff(23248,plain,
% 6.55/5.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s289, c_n1) | (~node2(s289))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23247, 23246])).
% 6.55/5.20 tff(23249,plain,
% 6.55/5.20 (~node2(s289)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23248, 652, 23245])).
% 6.55/5.20 tff(23250,plain,
% 6.55/5.20 (((~![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(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23251,plain,
% 6.55/5.20 (((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1)) <=> ((~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23252,plain,
% 6.55/5.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, 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(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289))))),
% 6.55/5.20 inference(monotonicity,[status(thm)],[23251])).
% 6.55/5.20 tff(23253,plain,
% 6.55/5.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, 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(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289)))),
% 6.55/5.20 inference(transitivity,[status(thm)],[23252, 23250])).
% 6.55/5.20 tff(23254,plain,
% 6.55/5.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s288, s289)) | (~m_main_v_state1(s288, c_t1)) | m_main_v_state1(s289, c_t1))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23255,plain,
% 6.55/5.20 ((~![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(s288, c_t1)) | m_main_v_state1(s289, c_t1) | (~node6(s288, s289))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23254, 23253])).
% 6.55/5.20 tff(23256,plain,
% 6.55/5.20 (m_main_v_state1(s289, c_t1)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23255, 760, 23141, 23238])).
% 6.55/5.20 tff(23257,plain,
% 6.55/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23258,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23259,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s289, c_n2)) | (~m_main_v_state2(s289, c_t2))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 6.55/5.20 tff(23260,plain,
% 6.55/5.20 (~m_main_v_state2(s289, c_t2)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23259, 10, 23188])).
% 6.55/5.20 tff(23261,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s289, c_t2) | (~node1(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s289, c_t2) | (~node1(s289)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23262,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s289, c_t2) | (~node1(s289)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23263,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s289, c_t2) | (~node1(s289))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 6.55/5.20 tff(23264,plain,
% 6.55/5.20 (~node1(s289)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23263, 206, 23260])).
% 6.55/5.20 tff(23265,plain,
% 6.55/5.20 (succ(s289, s290) <=> succ(s289, s290)),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23266,axiom,(succ(s289, s290)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound290')).
% 6.55/5.20 tff(23267,plain,
% 6.55/5.20 (succ(s289, s290)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23266, 23265])).
% 6.55/5.20 tff(23268,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23269,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23270,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 6.55/5.20 tff(23271,plain,
% 6.55/5.20 (trans(s289, s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23270, 23267, 57])).
% 6.55/5.20 tff(23272,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s289, s290)) | node7(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s289, s290)) | node7(s289, s290))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23273,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s289, s290)) | node7(s289, s290))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23274,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s289, s290)) | node7(s289, s290)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 6.55/5.20 tff(23275,plain,
% 6.55/5.20 (node7(s289, s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23274, 217, 23271])).
% 6.55/5.20 tff(23276,plain,
% 6.55/5.20 (((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23277,plain,
% 6.55/5.20 (((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1)) <=> ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23278,plain,
% 6.55/5.20 (((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, 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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290))))),
% 6.55/5.20 inference(monotonicity,[status(thm)],[23277])).
% 6.55/5.20 tff(23279,plain,
% 6.55/5.20 (((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, 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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)))),
% 6.55/5.20 inference(transitivity,[status(thm)],[23278, 23276])).
% 6.55/5.20 tff(23280,plain,
% 6.55/5.20 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290)) | m_main_v_state1(s290, c_c1))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23281,plain,
% 6.55/5.20 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289) | (~node7(s289, s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 6.55/5.20 tff(23282,plain,
% 6.55/5.20 ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state1(s290, c_c1) | node1(s289) | node2(s289) | node3(s289)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23281, 965, 23275])).
% 6.55/5.20 tff(23283,plain,
% 6.55/5.20 (m_main_v_state1(s290, c_c1)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23282, 23264, 23188, 23256, 23249, 23196])).
% 6.55/5.20 tff(23284,plain,
% 6.55/5.20 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23285,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23286,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_t1)) | (~m_main_v_state1(s290, c_c1))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 6.55/5.20 tff(23287,plain,
% 6.55/5.20 (~m_main_v_state1(s290, c_t1)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23286, 289, 23283])).
% 6.55/5.20 tff(23288,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s290, c_t1) | (~node5(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s290, c_t1) | (~node5(s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23289,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s290, c_t1) | (~node5(s290)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23290,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s290, c_t1) | (~node5(s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 6.55/5.20 tff(23291,plain,
% 6.55/5.20 (~node5(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23290, 300, 23287])).
% 6.55/5.20 tff(23292,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s289, s290)) | node14(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s289, s290)) | node14(s289, s290))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23293,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s289, s290)) | node14(s289, s290))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23294,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s289, s290)) | node14(s289, s290)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 6.55/5.20 tff(23295,plain,
% 6.55/5.20 (node14(s289, s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23294, 130, 23271])).
% 6.55/5.20 tff(23296,plain,
% 6.55/5.20 (((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, 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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23297,plain,
% 6.55/5.20 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23298,plain,
% 6.55/5.20 ((~![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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | (~node14(s289, s290)) | m_main_v_state2(s290, c_t2)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 6.55/5.20 tff(23299,plain,
% 6.55/5.20 ((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_state2(s290, c_t2)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23298, 893, 23295])).
% 6.55/5.20 tff(23300,plain,
% 6.55/5.20 (m_main_v_state2(s290, c_t2)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23299, 23256, 23188])).
% 6.55/5.20 tff(23301,plain,
% 6.55/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23302,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23303,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s290, c_n2)) | (~m_main_v_state2(s290, c_t2))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 6.55/5.20 tff(23304,plain,
% 6.55/5.20 (~m_main_v_state2(s290, c_n2)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23303, 10, 23300])).
% 6.55/5.20 tff(23305,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s290, c_n2) | (~node4(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s290, c_n2) | (~node4(s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23306,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s290, c_n2) | (~node4(s290)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23307,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s290, c_n2) | (~node4(s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 6.55/5.20 tff(23308,plain,
% 6.55/5.20 (~node4(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23307, 162, 23304])).
% 6.55/5.20 tff(23309,plain,
% 6.55/5.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23310,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23311,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s290, c_t2)) | (~m_main_v_state2(s290, c_c2))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 6.55/5.20 tff(23312,plain,
% 6.55/5.20 (~m_main_v_state2(s290, c_c2)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23311, 173, 23300])).
% 6.55/5.20 tff(23313,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s290, c_c2) | (~node3(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s290, c_c2) | (~node3(s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23314,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s290, c_c2) | (~node3(s290)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23315,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s290, c_c2) | (~node3(s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23314, 23313])).
% 6.55/5.20 tff(23316,plain,
% 6.55/5.20 (~node3(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23315, 184, 23312])).
% 6.55/5.20 tff(23317,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s290, c_n2) | (~node2(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s290, c_n2) | (~node2(s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23318,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s290, c_n2) | (~node2(s290)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23319,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s290, c_n2) | (~node2(s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23318, 23317])).
% 6.55/5.20 tff(23320,plain,
% 6.55/5.20 (~node2(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23319, 195, 23304])).
% 6.55/5.20 tff(23321,plain,
% 6.55/5.20 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23322,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23323,plain,
% 6.55/5.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s290, c_n1)) | (~m_main_v_state1(s290, c_c1))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23322, 23321])).
% 6.55/5.20 tff(23324,plain,
% 6.55/5.20 (~m_main_v_state1(s290, c_n1)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23323, 449, 23283])).
% 6.55/5.20 tff(23325,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s290, c_n1) | (~node1(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s290, c_n1) | (~node1(s290)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23326,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s290, c_n1) | (~node1(s290)))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23327,plain,
% 6.55/5.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s290, c_n1) | (~node1(s290))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 6.55/5.20 tff(23328,plain,
% 6.55/5.20 (~node1(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23327, 249, 23324])).
% 6.55/5.20 tff(23329,plain,
% 6.55/5.20 (succ(s290, s291) <=> succ(s290, s291)),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23330,axiom,(succ(s290, s291)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound291')).
% 6.55/5.20 tff(23331,plain,
% 6.55/5.20 (succ(s290, s291)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23330, 23329])).
% 6.55/5.20 tff(23332,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23333,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23334,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 6.55/5.20 tff(23335,plain,
% 6.55/5.20 (trans(s290, s291)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23334, 23331, 57])).
% 6.55/5.20 tff(23336,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s290, s291)) | node7(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s290, s291)) | node7(s290, s291))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23337,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s290, s291)) | node7(s290, s291))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23338,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s290, s291)) | node7(s290, s291)),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 6.55/5.20 tff(23339,plain,
% 6.55/5.20 (node7(s290, s291)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23338, 217, 23335])).
% 6.55/5.20 tff(23340,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23341,plain,
% 6.55/5.20 (((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1)) <=> (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 6.55/5.20 inference(rewrite,[status(thm)],[])).
% 6.55/5.20 tff(23342,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, 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(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291))))),
% 6.55/5.20 inference(monotonicity,[status(thm)],[23341])).
% 6.55/5.20 tff(23343,plain,
% 6.55/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, 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(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)))),
% 6.55/5.20 inference(transitivity,[status(thm)],[23342, 23340])).
% 6.55/5.20 tff(23344,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291)) | m_main_v_state1(s291, c_n1))),
% 6.55/5.20 inference(quant_inst,[status(thm)],[])).
% 6.55/5.20 tff(23345,plain,
% 6.55/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290) | (~node7(s290, s291))),
% 6.55/5.20 inference(modus_ponens,[status(thm)],[23344, 23343])).
% 6.55/5.20 tff(23346,plain,
% 6.55/5.20 (m_main_v_state1(s291, c_n1) | (~m_main_v_state1(s290, c_c1)) | node1(s290) | node2(s290) | node3(s290) | node4(s290) | node5(s290)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23345, 478, 23339])).
% 6.55/5.20 tff(23347,plain,
% 6.55/5.20 (m_main_v_state1(s291, c_n1)),
% 6.55/5.20 inference(unit_resolution,[status(thm)],[23346, 23328, 23283, 23320, 23316, 23308, 23291])).
% 6.55/5.20 tff(23348,plain,
% 6.55/5.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s289, c_t2) | (~node15(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s289, c_t2) | (~node15(s289)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23349,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s289, c_t2) | (~node15(s289)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23350,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s289, c_t2) | (~node15(s289))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 6.55/5.21 tff(23351,plain,
% 6.55/5.21 (~node15(s289)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23350, 21, 23260])).
% 6.55/5.21 tff(23352,plain,
% 6.55/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s289, s290)) | node18(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s289, s290)) | node18(s289, s290))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23353,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s289, s290)) | node18(s289, s290))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23354,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s289, s290)) | node18(s289, s290)),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 6.55/5.21 tff(23355,plain,
% 6.55/5.21 (node18(s289, s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23354, 71, 23271])).
% 6.55/5.21 tff(23356,plain,
% 6.55/5.21 (((~![Y: $i, X: $i] : ((~m_main_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(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, 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(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23357,plain,
% 6.55/5.21 (((~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1)) <=> (node15(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23358,plain,
% 6.55/5.21 (((~![Y: $i, X: $i] : ((~m_main_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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, 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(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)))),
% 6.55/5.21 inference(monotonicity,[status(thm)],[23357])).
% 6.55/5.21 tff(23359,plain,
% 6.55/5.21 (((~![Y: $i, X: $i] : ((~m_main_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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, 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(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1))),
% 6.55/5.21 inference(transitivity,[status(thm)],[23358, 23356])).
% 6.55/5.21 tff(23360,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~m_main_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(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | node15(s289) | (~node18(s289, s290)) | m_main_v_turn(s290, c_1))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23361,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~m_main_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(s289) | (~node18(s289, s290)) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23360, 23359])).
% 6.55/5.21 tff(23362,plain,
% 6.55/5.21 (node15(s289) | (~m_main_v_state1(s289, c_t1)) | (~m_main_v_state2(s289, c_n2)) | m_main_v_turn(s290, c_1)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23361, 863, 23355])).
% 6.55/5.21 tff(23363,plain,
% 6.55/5.21 (m_main_v_turn(s290, c_1)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23362, 23351, 23188, 23256])).
% 6.55/5.21 tff(23364,plain,
% 6.55/5.21 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23365,plain,
% 6.55/5.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23366,plain,
% 6.55/5.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s290, c_1)) | (~m_main_v_turn(s290, c_2))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 6.55/5.21 tff(23367,plain,
% 6.55/5.21 (~m_main_v_turn(s290, c_2)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23366, 322, 23363])).
% 6.55/5.21 tff(23368,plain,
% 6.55/5.21 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s290, c_2) | (~node12(s290)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s290, c_2) | (~node12(s290)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23369,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s290, c_2) | (~node12(s290)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23370,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s290, c_2) | (~node12(s290))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23369, 23368])).
% 6.55/5.21 tff(23371,plain,
% 6.55/5.21 (~node12(s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23370, 350, 23367])).
% 6.55/5.21 tff(23372,plain,
% 6.55/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s290, c_n2) | (~node8(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s290, c_n2) | (~node8(s290)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23373,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s290, c_n2) | (~node8(s290)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23374,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s290, c_n2) | (~node8(s290))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 6.55/5.21 tff(23375,plain,
% 6.55/5.21 (~node8(s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23374, 383, 23304])).
% 6.55/5.21 tff(23376,plain,
% 6.55/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s290, c_n2) | (~node9(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s290, c_n2) | (~node9(s290)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23377,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s290, c_n2) | (~node9(s290)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23378,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s290, c_n2) | (~node9(s290))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23377, 23376])).
% 6.55/5.21 tff(23379,plain,
% 6.55/5.21 (~node9(s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23378, 311, 23304])).
% 6.55/5.21 tff(23380,plain,
% 6.55/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s290, c_n2) | (~node10(s290)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s290, c_n2) | (~node10(s290)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23381,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s290, c_n2) | (~node10(s290)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23382,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s290, c_n2) | (~node10(s290))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 6.55/5.21 tff(23383,plain,
% 6.55/5.21 (~node10(s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23382, 372, 23304])).
% 6.55/5.21 tff(23384,plain,
% 6.55/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s290, c_n1) | (~node11(s290)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s290, c_n1) | (~node11(s290)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23385,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s290, c_n1) | (~node11(s290)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23386,plain,
% 6.55/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s290, c_n1) | (~node11(s290))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23385, 23384])).
% 6.55/5.21 tff(23387,plain,
% 6.55/5.21 (~node11(s290)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23386, 361, 23324])).
% 6.55/5.21 tff(23388,plain,
% 6.55/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s290, s291)) | node14(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s290, s291)) | node14(s290, s291))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23389,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s290, s291)) | node14(s290, s291))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23390,plain,
% 6.55/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s290, s291)) | node14(s290, s291)),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 6.55/5.21 tff(23391,plain,
% 6.55/5.21 (node14(s290, s291)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23390, 130, 23335])).
% 6.55/5.21 tff(23392,plain,
% 6.55/5.21 (((~![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(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))) <=> ((~![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(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23393,plain,
% 6.55/5.21 ((~![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(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291)))),
% 6.55/5.21 inference(quant_inst,[status(thm)],[])).
% 6.55/5.21 tff(23394,plain,
% 6.55/5.21 ((~![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(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291) | (~node14(s290, s291))),
% 6.55/5.21 inference(modus_ponens,[status(thm)],[23393, 23392])).
% 6.55/5.21 tff(23395,plain,
% 6.55/5.21 (m_main_v_state2(s290, c_c2) | node9(s290) | node8(s290) | node10(s290) | node11(s290) | node12(s290) | node13(s290, s291)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23394, 401, 23391])).
% 6.55/5.21 tff(23396,plain,
% 6.55/5.21 (node13(s290, s291)),
% 6.55/5.21 inference(unit_resolution,[status(thm)],[23395, 23387, 23312, 23383, 23379, 23375, 23371])).
% 6.55/5.21 tff(23397,plain,
% 6.55/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.55/5.21 tff(23398,plain,
% 6.55/5.21 (((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2)) <=> ((~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 6.55/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23399,plain,
% 6.58/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, 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(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291))))),
% 6.58/5.21 inference(monotonicity,[status(thm)],[23398])).
% 6.58/5.21 tff(23400,plain,
% 6.58/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, 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(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291)))),
% 6.58/5.21 inference(transitivity,[status(thm)],[23399, 23397])).
% 6.58/5.21 tff(23401,plain,
% 6.58/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s290, s291)) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23402,plain,
% 6.58/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s290, c_t2)) | m_main_v_state2(s291, c_t2) | (~node13(s290, s291))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23401, 23400])).
% 6.58/5.21 tff(23403,plain,
% 6.58/5.21 (m_main_v_state2(s291, c_t2)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23402, 563, 23300, 23396])).
% 6.58/5.21 tff(23404,plain,
% 6.58/5.21 (succ(s291, s292) <=> succ(s291, s292)),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23405,axiom,(succ(s291, s292)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound292')).
% 6.58/5.21 tff(23406,plain,
% 6.58/5.21 (succ(s291, s292)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 6.58/5.21 tff(23407,plain,
% 6.58/5.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23408,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23409,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 6.58/5.21 tff(23410,plain,
% 6.58/5.21 (trans(s291, s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23409, 23406, 57])).
% 6.58/5.21 tff(23411,plain,
% 6.58/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s291, s292)) | node7(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s291, s292)) | node7(s291, s292))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23412,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s291, s292)) | node7(s291, s292))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23413,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s291, s292)) | node7(s291, s292)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 6.58/5.21 tff(23414,plain,
% 6.58/5.21 (node7(s291, s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23413, 217, 23410])).
% 6.58/5.21 tff(23415,plain,
% 6.58/5.21 (((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, 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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23416,plain,
% 6.58/5.21 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23417,plain,
% 6.58/5.21 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node7(s291, s292)) | m_main_v_state1(s292, c_t1)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 6.58/5.21 tff(23418,plain,
% 6.58/5.21 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_state1(s292, c_t1)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23417, 598, 23414])).
% 6.58/5.21 tff(23419,plain,
% 6.58/5.21 (m_main_v_state1(s292, c_t1)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23418, 23403, 23347])).
% 6.58/5.21 tff(23420,plain,
% 6.58/5.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23421,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23422,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s292, c_n1)) | (~m_main_v_state1(s292, c_t1))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 6.58/5.21 tff(23423,plain,
% 6.58/5.21 (~m_main_v_state1(s292, c_n1)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23422, 35, 23419])).
% 6.58/5.21 tff(23424,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s292, c_n1) | (~node1(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s292, c_n1) | (~node1(s292)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23425,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s292, c_n1) | (~node1(s292)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23426,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s292, c_n1) | (~node1(s292))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 6.58/5.21 tff(23427,plain,
% 6.58/5.21 (~node1(s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23426, 249, 23423])).
% 6.58/5.21 tff(23428,plain,
% 6.58/5.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s291, s292)) | node18(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s291, s292)) | node18(s291, s292))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23429,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s291, s292)) | node18(s291, s292))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23430,plain,
% 6.58/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s291, s292)) | node18(s291, s292)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23429, 23428])).
% 6.58/5.21 tff(23431,plain,
% 6.58/5.21 (node18(s291, s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23430, 71, 23410])).
% 6.58/5.21 tff(23432,plain,
% 6.58/5.21 (((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, 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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23433,plain,
% 6.58/5.21 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23434,plain,
% 6.58/5.21 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | (~node18(s291, s292)) | m_main_v_turn(s292, c_2)),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23433, 23432])).
% 6.58/5.21 tff(23435,plain,
% 6.58/5.21 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | m_main_v_turn(s292, c_2)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23434, 625, 23431])).
% 6.58/5.21 tff(23436,plain,
% 6.58/5.21 (m_main_v_turn(s292, c_2)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23435, 23403, 23347])).
% 6.58/5.21 tff(23437,plain,
% 6.58/5.21 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23438,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23439,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s292, c_1)) | (~m_main_v_turn(s292, c_2))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 6.58/5.21 tff(23440,plain,
% 6.58/5.21 (~m_main_v_turn(s292, c_1)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23439, 322, 23436])).
% 6.58/5.21 tff(23441,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s292, c_1) | (~node5(s292)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s292, c_1) | (~node5(s292)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23442,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s292, c_1) | (~node5(s292)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23443,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s292, c_1) | (~node5(s292))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23442, 23441])).
% 6.58/5.21 tff(23444,plain,
% 6.58/5.21 (~node5(s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23443, 641, 23440])).
% 6.58/5.21 tff(23445,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s292, c_n1) | (~node2(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s292, c_n1) | (~node2(s292)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23446,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s292, c_n1) | (~node2(s292)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23447,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s292, c_n1) | (~node2(s292))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 6.58/5.21 tff(23448,plain,
% 6.58/5.21 (~node2(s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23447, 652, 23423])).
% 6.58/5.21 tff(23449,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s292, c_n1) | (~node3(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s292, c_n1) | (~node3(s292)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23450,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s292, c_n1) | (~node3(s292)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23451,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s292, c_n1) | (~node3(s292))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23450, 23449])).
% 6.58/5.21 tff(23452,plain,
% 6.58/5.21 (~node3(s292)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23451, 663, 23423])).
% 6.58/5.21 tff(23453,plain,
% 6.58/5.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23454,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23455,plain,
% 6.58/5.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s292, c_t1)) | (~m_main_v_state1(s292, c_c1))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23454, 23453])).
% 6.58/5.21 tff(23456,plain,
% 6.58/5.21 (~m_main_v_state1(s292, c_c1)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23455, 289, 23419])).
% 6.58/5.21 tff(23457,plain,
% 6.58/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23458,plain,
% 6.58/5.21 (((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2))) <=> (m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23459,plain,
% 6.58/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, 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(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291))))),
% 6.58/5.21 inference(monotonicity,[status(thm)],[23458])).
% 6.58/5.21 tff(23460,plain,
% 6.58/5.21 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, 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(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291)))),
% 6.58/5.21 inference(transitivity,[status(thm)],[23459, 23457])).
% 6.58/5.21 tff(23461,plain,
% 6.58/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s290, s291)) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23462,plain,
% 6.58/5.21 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s290, c_n2) | (~m_main_v_state2(s291, c_n2)) | (~node13(s290, s291))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23461, 23460])).
% 6.58/5.21 tff(23463,plain,
% 6.58/5.21 (~m_main_v_state2(s291, c_n2)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23462, 416, 23304, 23396])).
% 6.58/5.21 tff(23464,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s291, c_n2) | (~node9(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s291, c_n2) | (~node9(s291)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23465,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s291, c_n2) | (~node9(s291)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23466,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s291, c_n2) | (~node9(s291))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 6.58/5.21 tff(23467,plain,
% 6.58/5.21 (~node9(s291)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23466, 311, 23463])).
% 6.58/5.21 tff(23468,plain,
% 6.58/5.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s291, c_n2) | (~node10(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s291, c_n2) | (~node10(s291)))),
% 6.58/5.21 inference(rewrite,[status(thm)],[])).
% 6.58/5.21 tff(23469,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s291, c_n2) | (~node10(s291)))),
% 6.58/5.21 inference(quant_inst,[status(thm)],[])).
% 6.58/5.21 tff(23470,plain,
% 6.58/5.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s291, c_n2) | (~node10(s291))),
% 6.58/5.21 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 6.58/5.21 tff(23471,plain,
% 6.58/5.21 (~node10(s291)),
% 6.58/5.21 inference(unit_resolution,[status(thm)],[23470, 372, 23463])).
% 6.58/5.22 tff(23472,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s291, c_n2) | (~node8(s291)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s291, c_n2) | (~node8(s291)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23473,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s291, c_n2) | (~node8(s291)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23474,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s291, c_n2) | (~node8(s291))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23473, 23472])).
% 6.58/5.22 tff(23475,plain,
% 6.58/5.22 (~node8(s291)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23474, 383, 23463])).
% 6.58/5.22 tff(23476,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s291, s292)) | node14(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s291, s292)) | node14(s291, s292))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23477,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s291, s292)) | node14(s291, s292))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23478,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s291, s292)) | node14(s291, s292)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23477, 23476])).
% 6.58/5.22 tff(23479,plain,
% 6.58/5.22 (node14(s291, s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23478, 130, 23410])).
% 6.58/5.22 tff(23480,plain,
% 6.58/5.22 (((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, 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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23481,plain,
% 6.58/5.22 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23482,plain,
% 6.58/5.22 ((~![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(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | (~node14(s291, s292)) | m_main_v_state2(s292, c_c2)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23481, 23480])).
% 6.58/5.22 tff(23483,plain,
% 6.58/5.22 ((~m_main_v_state1(s291, c_n1)) | (~m_main_v_state2(s291, c_t2)) | node9(s291) | node8(s291) | node10(s291) | m_main_v_state2(s292, c_c2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23482, 704, 23479])).
% 6.58/5.22 tff(23484,plain,
% 6.58/5.22 (m_main_v_state2(s292, c_c2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23483, 23475, 23347, 23403, 23471, 23467])).
% 6.58/5.22 tff(23485,plain,
% 6.58/5.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23486,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23487,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_n2)) | (~m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23486, 23485])).
% 6.58/5.22 tff(23488,plain,
% 6.58/5.22 (~m_main_v_state2(s292, c_n2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23487, 716, 23484])).
% 6.58/5.22 tff(23489,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s292, c_n2) | (~node4(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s292, c_n2) | (~node4(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23490,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s292, c_n2) | (~node4(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23491,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s292, c_n2) | (~node4(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 6.58/5.22 tff(23492,plain,
% 6.58/5.22 (~node4(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23491, 162, 23488])).
% 6.58/5.22 tff(23493,plain,
% 6.58/5.22 (succ(s292, s293) <=> succ(s292, s293)),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23494,axiom,(succ(s292, s293)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound293')).
% 6.58/5.22 tff(23495,plain,
% 6.58/5.22 (succ(s292, s293)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23494, 23493])).
% 6.58/5.22 tff(23496,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23497,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23498,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 6.58/5.22 tff(23499,plain,
% 6.58/5.22 (trans(s292, s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23498, 23495, 57])).
% 6.58/5.22 tff(23500,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s292, s293)) | node7(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s292, s293)) | node7(s292, s293))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23501,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s292, s293)) | node7(s292, s293))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23502,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s292, s293)) | node7(s292, s293)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23501, 23500])).
% 6.58/5.22 tff(23503,plain,
% 6.58/5.22 (node7(s292, s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23502, 217, 23499])).
% 6.58/5.22 tff(23504,plain,
% 6.58/5.22 (((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))) <=> ((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23505,plain,
% 6.58/5.22 ((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23506,plain,
% 6.58/5.22 ((~![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(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293) | (~node7(s292, s293))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 6.58/5.22 tff(23507,plain,
% 6.58/5.22 (m_main_v_state1(s292, c_c1) | node1(s292) | node2(s292) | node3(s292) | node4(s292) | node5(s292) | node6(s292, s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23506, 745, 23503])).
% 6.58/5.22 tff(23508,plain,
% 6.58/5.22 (node6(s292, s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23507, 23492, 23456, 23452, 23448, 23444, 23427])).
% 6.58/5.22 tff(23509,plain,
% 6.58/5.22 (((~![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(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23510,plain,
% 6.58/5.22 (((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1)) <=> ((~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23511,plain,
% 6.58/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, 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(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293))))),
% 6.58/5.22 inference(monotonicity,[status(thm)],[23510])).
% 6.58/5.22 tff(23512,plain,
% 6.58/5.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, 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(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293)))),
% 6.58/5.22 inference(transitivity,[status(thm)],[23511, 23509])).
% 6.58/5.22 tff(23513,plain,
% 6.58/5.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s292, s293)) | (~m_main_v_state1(s292, c_t1)) | m_main_v_state1(s293, c_t1))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23514,plain,
% 6.58/5.22 ((~![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(s292, c_t1)) | m_main_v_state1(s293, c_t1) | (~node6(s292, s293))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 6.58/5.22 tff(23515,plain,
% 6.58/5.22 (m_main_v_state1(s293, c_t1)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23514, 760, 23419, 23508])).
% 6.58/5.22 tff(23516,plain,
% 6.58/5.22 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23517,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23518,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s292, c_t2)) | (~m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 6.58/5.22 tff(23519,plain,
% 6.58/5.22 (~m_main_v_state2(s292, c_t2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23518, 173, 23484])).
% 6.58/5.22 tff(23520,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s292, c_t2) | (~node12(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s292, c_t2) | (~node12(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23521,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s292, c_t2) | (~node12(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23522,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s292, c_t2) | (~node12(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 6.58/5.22 tff(23523,plain,
% 6.58/5.22 (~node12(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23522, 778, 23519])).
% 6.58/5.22 tff(23524,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s292, c_n1) | (~node11(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s292, c_n1) | (~node11(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23525,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s292, c_n1) | (~node11(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23526,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s292, c_n1) | (~node11(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 6.58/5.22 tff(23527,plain,
% 6.58/5.22 (~node11(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23526, 361, 23423])).
% 6.58/5.22 tff(23528,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s292, c_c1) | (~node10(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s292, c_c1) | (~node10(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23529,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s292, c_c1) | (~node10(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23530,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s292, c_c1) | (~node10(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23529, 23528])).
% 6.58/5.22 tff(23531,plain,
% 6.58/5.22 (~node10(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23530, 793, 23456])).
% 6.58/5.22 tff(23532,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s292, c_n1) | (~node9(s292)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s292, c_n1) | (~node9(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23533,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s292, c_n1) | (~node9(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23534,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s292, c_n1) | (~node9(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23533, 23532])).
% 6.58/5.22 tff(23535,plain,
% 6.58/5.22 (~node9(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23534, 804, 23423])).
% 6.58/5.22 tff(23536,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s292, c_n2) | (~node8(s292)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s292, c_n2) | (~node8(s292)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23537,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s292, c_n2) | (~node8(s292)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23538,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s292, c_n2) | (~node8(s292))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23537, 23536])).
% 6.58/5.22 tff(23539,plain,
% 6.58/5.22 (~node8(s292)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23538, 383, 23488])).
% 6.58/5.22 tff(23540,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s292, s293)) | node14(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s292, s293)) | node14(s292, s293))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23541,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s292, s293)) | node14(s292, s293))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23542,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s292, s293)) | node14(s292, s293)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23541, 23540])).
% 6.58/5.22 tff(23543,plain,
% 6.58/5.22 (node14(s292, s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23542, 130, 23499])).
% 6.58/5.22 tff(23544,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, 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(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23545,plain,
% 6.58/5.22 (((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2)) <=> (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23546,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, 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(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2))))),
% 6.58/5.22 inference(monotonicity,[status(thm)],[23545])).
% 6.58/5.22 tff(23547,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, 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(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2)))),
% 6.58/5.22 inference(transitivity,[status(thm)],[23546, 23544])).
% 6.58/5.22 tff(23548,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s292, c_c2)) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | m_main_v_state2(s293, c_n2))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23549,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~node14(s292, s293)) | (~m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23548, 23547])).
% 6.58/5.22 tff(23550,plain,
% 6.58/5.22 (m_main_v_state2(s293, c_n2) | node9(s292) | node8(s292) | node10(s292) | node11(s292) | node12(s292) | (~m_main_v_state2(s292, c_c2))),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23549, 826, 23543])).
% 6.58/5.22 tff(23551,plain,
% 6.58/5.22 (m_main_v_state2(s293, c_n2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23550, 23539, 23484, 23535, 23531, 23527, 23523])).
% 6.58/5.22 tff(23552,plain,
% 6.58/5.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23553,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23554,plain,
% 6.58/5.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_t2))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23553, 23552])).
% 6.58/5.22 tff(23555,plain,
% 6.58/5.22 (~m_main_v_state2(s293, c_t2)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23554, 10, 23551])).
% 6.58/5.22 tff(23556,plain,
% 6.58/5.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s293, c_t2) | (~node15(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s293, c_t2) | (~node15(s293)))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23557,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s293, c_t2) | (~node15(s293)))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23558,plain,
% 6.58/5.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s293, c_t2) | (~node15(s293))),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 6.58/5.22 tff(23559,plain,
% 6.58/5.22 (~node15(s293)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23558, 21, 23555])).
% 6.58/5.22 tff(23560,plain,
% 6.58/5.22 (succ(s293, s294) <=> succ(s293, s294)),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23561,axiom,(succ(s293, s294)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound294')).
% 6.58/5.22 tff(23562,plain,
% 6.58/5.22 (succ(s293, s294)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 6.58/5.22 tff(23563,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23564,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23565,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23564, 23563])).
% 6.58/5.22 tff(23566,plain,
% 6.58/5.22 (trans(s293, s294)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23565, 23562, 57])).
% 6.58/5.22 tff(23567,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s293, s294)) | node18(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s293, s294)) | node18(s293, s294))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23568,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s293, s294)) | node18(s293, s294))),
% 6.58/5.22 inference(quant_inst,[status(thm)],[])).
% 6.58/5.22 tff(23569,plain,
% 6.58/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s293, s294)) | node18(s293, s294)),
% 6.58/5.22 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 6.58/5.22 tff(23570,plain,
% 6.58/5.22 (node18(s293, s294)),
% 6.58/5.22 inference(unit_resolution,[status(thm)],[23569, 71, 23566])).
% 6.58/5.22 tff(23571,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~m_main_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(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, 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(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23572,plain,
% 6.58/5.22 (((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1)) <=> (node15(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 6.58/5.22 inference(rewrite,[status(thm)],[])).
% 6.58/5.22 tff(23573,plain,
% 6.58/5.22 (((~![Y: $i, X: $i] : ((~m_main_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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, 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(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)))),
% 6.59/5.23 inference(monotonicity,[status(thm)],[23572])).
% 6.59/5.23 tff(23574,plain,
% 6.59/5.23 (((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, 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(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1))),
% 6.59/5.23 inference(transitivity,[status(thm)],[23573, 23571])).
% 6.59/5.23 tff(23575,plain,
% 6.59/5.23 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node15(s293) | (~node18(s293, s294)) | m_main_v_turn(s294, c_1))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23576,plain,
% 6.59/5.23 ((~![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(s293) | (~node18(s293, s294)) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 6.59/5.23 tff(23577,plain,
% 6.59/5.23 (node15(s293) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_turn(s294, c_1)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23576, 863, 23570])).
% 6.59/5.23 tff(23578,plain,
% 6.59/5.23 (m_main_v_turn(s294, c_1)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23577, 23559, 23551, 23515])).
% 6.59/5.23 tff(23579,plain,
% 6.59/5.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23580,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23581,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s294, c_1)) | (~m_main_v_turn(s294, c_2))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 6.59/5.23 tff(23582,plain,
% 6.59/5.23 (~m_main_v_turn(s294, c_2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23581, 322, 23578])).
% 6.59/5.23 tff(23583,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s294, c_2) | (~node12(s294)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s294, c_2) | (~node12(s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23584,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s294, c_2) | (~node12(s294)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23585,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s294, c_2) | (~node12(s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23584, 23583])).
% 6.59/5.23 tff(23586,plain,
% 6.59/5.23 (~node12(s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23585, 350, 23582])).
% 6.59/5.23 tff(23587,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s293, s294)) | node14(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s293, s294)) | node14(s293, s294))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23588,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s293, s294)) | node14(s293, s294))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23589,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s293, s294)) | node14(s293, s294)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 6.59/5.23 tff(23590,plain,
% 6.59/5.23 (node14(s293, s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23589, 130, 23566])).
% 6.59/5.23 tff(23591,plain,
% 6.59/5.23 (((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, 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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23592,plain,
% 6.59/5.23 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23593,plain,
% 6.59/5.23 ((~![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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | (~node14(s293, s294)) | m_main_v_state2(s294, c_t2)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23592, 23591])).
% 6.59/5.23 tff(23594,plain,
% 6.59/5.23 ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state2(s294, c_t2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23593, 893, 23590])).
% 6.59/5.23 tff(23595,plain,
% 6.59/5.23 (m_main_v_state2(s294, c_t2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23594, 23515, 23551])).
% 6.59/5.23 tff(23596,plain,
% 6.59/5.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23597,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23598,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s294, c_n2)) | (~m_main_v_state2(s294, c_t2))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23597, 23596])).
% 6.59/5.23 tff(23599,plain,
% 6.59/5.23 (~m_main_v_state2(s294, c_n2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23598, 10, 23595])).
% 6.59/5.23 tff(23600,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s294, c_n2) | (~node8(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s294, c_n2) | (~node8(s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23601,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s294, c_n2) | (~node8(s294)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23602,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s294, c_n2) | (~node8(s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 6.59/5.23 tff(23603,plain,
% 6.59/5.23 (~node8(s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23602, 383, 23599])).
% 6.59/5.23 tff(23604,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s294, c_n2) | (~node9(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s294, c_n2) | (~node9(s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23605,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s294, c_n2) | (~node9(s294)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23606,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s294, c_n2) | (~node9(s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23605, 23604])).
% 6.59/5.23 tff(23607,plain,
% 6.59/5.23 (~node9(s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23606, 311, 23599])).
% 6.59/5.23 tff(23608,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s294, c_n2) | (~node10(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s294, c_n2) | (~node10(s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23609,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s294, c_n2) | (~node10(s294)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23610,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s294, c_n2) | (~node10(s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23609, 23608])).
% 6.59/5.23 tff(23611,plain,
% 6.59/5.23 (~node10(s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23610, 372, 23599])).
% 6.59/5.23 tff(23612,plain,
% 6.59/5.23 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23613,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23614,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s294, c_t2)) | (~m_main_v_state2(s294, c_c2))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 6.59/5.23 tff(23615,plain,
% 6.59/5.23 (~m_main_v_state2(s294, c_c2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23614, 173, 23595])).
% 6.59/5.23 tff(23616,plain,
% 6.59/5.23 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23617,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23618,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s293, c_n2)) | (~m_main_v_state2(s293, c_c2))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23617, 23616])).
% 6.59/5.23 tff(23619,plain,
% 6.59/5.23 (~m_main_v_state2(s293, c_c2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23618, 716, 23551])).
% 6.59/5.23 tff(23620,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s293, c_c2) | (~node3(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s293, c_c2) | (~node3(s293)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23621,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s293, c_c2) | (~node3(s293)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23622,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s293, c_c2) | (~node3(s293))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 6.59/5.23 tff(23623,plain,
% 6.59/5.23 (~node3(s293)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23622, 184, 23619])).
% 6.59/5.23 tff(23624,plain,
% 6.59/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23625,plain,
% 6.59/5.23 (((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1))) <=> (m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23626,plain,
% 6.59/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, 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(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293))))),
% 6.59/5.23 inference(monotonicity,[status(thm)],[23625])).
% 6.59/5.23 tff(23627,plain,
% 6.59/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, 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(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293)))),
% 6.59/5.23 inference(transitivity,[status(thm)],[23626, 23624])).
% 6.59/5.23 tff(23628,plain,
% 6.59/5.23 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s292, s293)) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23629,plain,
% 6.59/5.23 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s292, c_n1) | (~m_main_v_state1(s293, c_n1)) | (~node6(s292, s293))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 6.59/5.23 tff(23630,plain,
% 6.59/5.23 (~m_main_v_state1(s293, c_n1)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23629, 936, 23423, 23508])).
% 6.59/5.23 tff(23631,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s293, c_n1) | (~node2(s293)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s293, c_n1) | (~node2(s293)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23632,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s293, c_n1) | (~node2(s293)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23633,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s293, c_n1) | (~node2(s293))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 6.59/5.23 tff(23634,plain,
% 6.59/5.23 (~node2(s293)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23633, 652, 23630])).
% 6.59/5.23 tff(23635,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s293, c_t2) | (~node1(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s293, c_t2) | (~node1(s293)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23636,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s293, c_t2) | (~node1(s293)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23637,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s293, c_t2) | (~node1(s293))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23636, 23635])).
% 6.59/5.23 tff(23638,plain,
% 6.59/5.23 (~node1(s293)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23637, 206, 23555])).
% 6.59/5.23 tff(23639,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s293, s294)) | node7(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s293, s294)) | node7(s293, s294))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23640,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s293, s294)) | node7(s293, s294))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23641,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s293, s294)) | node7(s293, s294)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 6.59/5.23 tff(23642,plain,
% 6.59/5.23 (node7(s293, s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23641, 217, 23566])).
% 6.59/5.23 tff(23643,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23644,plain,
% 6.59/5.23 (((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1)) <=> ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23645,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, 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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294))))),
% 6.59/5.23 inference(monotonicity,[status(thm)],[23644])).
% 6.59/5.23 tff(23646,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, 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(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)))),
% 6.59/5.23 inference(transitivity,[status(thm)],[23645, 23643])).
% 6.59/5.23 tff(23647,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294)) | m_main_v_state1(s294, c_c1))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23648,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293) | (~node7(s293, s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23647, 23646])).
% 6.59/5.23 tff(23649,plain,
% 6.59/5.23 ((~m_main_v_state1(s293, c_t1)) | (~m_main_v_state2(s293, c_n2)) | m_main_v_state1(s294, c_c1) | node1(s293) | node2(s293) | node3(s293)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23648, 965, 23642])).
% 6.59/5.23 tff(23650,plain,
% 6.59/5.23 (m_main_v_state1(s294, c_c1)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23649, 23638, 23551, 23515, 23634, 23623])).
% 6.59/5.23 tff(23651,plain,
% 6.59/5.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23652,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23653,plain,
% 6.59/5.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_n1)) | (~m_main_v_state1(s294, c_c1))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23652, 23651])).
% 6.59/5.23 tff(23654,plain,
% 6.59/5.23 (~m_main_v_state1(s294, c_n1)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23653, 449, 23650])).
% 6.59/5.23 tff(23655,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s294, c_n1) | (~node11(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s294, c_n1) | (~node11(s294)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23656,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s294, c_n1) | (~node11(s294)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23657,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s294, c_n1) | (~node11(s294))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23656, 23655])).
% 6.59/5.23 tff(23658,plain,
% 6.59/5.23 (~node11(s294)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23657, 361, 23654])).
% 6.59/5.23 tff(23659,plain,
% 6.59/5.23 (succ(s294, s295) <=> succ(s294, s295)),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23660,axiom,(succ(s294, s295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound295')).
% 6.59/5.23 tff(23661,plain,
% 6.59/5.23 (succ(s294, s295)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 6.59/5.23 tff(23662,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23663,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23664,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23663, 23662])).
% 6.59/5.23 tff(23665,plain,
% 6.59/5.23 (trans(s294, s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23664, 23661, 57])).
% 6.59/5.23 tff(23666,plain,
% 6.59/5.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s294, s295)) | node14(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s294, s295)) | node14(s294, s295))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23667,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s294, s295)) | node14(s294, s295))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23668,plain,
% 6.59/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s294, s295)) | node14(s294, s295)),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 6.59/5.23 tff(23669,plain,
% 6.59/5.23 (node14(s294, s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23668, 130, 23665])).
% 6.59/5.23 tff(23670,plain,
% 6.59/5.23 (((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))) <=> ((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23671,plain,
% 6.59/5.23 ((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23672,plain,
% 6.59/5.23 ((~![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(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295) | (~node14(s294, s295))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 6.59/5.23 tff(23673,plain,
% 6.59/5.23 (m_main_v_state2(s294, c_c2) | node9(s294) | node8(s294) | node10(s294) | node11(s294) | node12(s294) | node13(s294, s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23672, 401, 23669])).
% 6.59/5.23 tff(23674,plain,
% 6.59/5.23 (node13(s294, s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23673, 23658, 23615, 23611, 23607, 23603, 23586])).
% 6.59/5.23 tff(23675,plain,
% 6.59/5.23 (((~![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(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23676,plain,
% 6.59/5.23 (((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2))) <=> (m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23677,plain,
% 6.59/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, 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(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295))))),
% 6.59/5.23 inference(monotonicity,[status(thm)],[23676])).
% 6.59/5.23 tff(23678,plain,
% 6.59/5.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, 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(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295)))),
% 6.59/5.23 inference(transitivity,[status(thm)],[23677, 23675])).
% 6.59/5.23 tff(23679,plain,
% 6.59/5.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s294, s295)) | m_main_v_state2(s294, c_n2) | (~m_main_v_state2(s295, c_n2)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23680,plain,
% 6.59/5.23 ((~![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(s294, c_n2) | (~m_main_v_state2(s295, c_n2)) | (~node13(s294, s295))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23679, 23678])).
% 6.59/5.23 tff(23681,plain,
% 6.59/5.23 (~m_main_v_state2(s295, c_n2)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23680, 416, 23599, 23674])).
% 6.59/5.23 tff(23682,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s295, c_n2) | (~node9(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s295, c_n2) | (~node9(s295)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23683,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s295, c_n2) | (~node9(s295)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23684,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s295, c_n2) | (~node9(s295))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 6.59/5.23 tff(23685,plain,
% 6.59/5.23 (~node9(s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23684, 311, 23681])).
% 6.59/5.23 tff(23686,plain,
% 6.59/5.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s295, c_n2) | (~node10(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s295, c_n2) | (~node10(s295)))),
% 6.59/5.23 inference(rewrite,[status(thm)],[])).
% 6.59/5.23 tff(23687,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s295, c_n2) | (~node10(s295)))),
% 6.59/5.23 inference(quant_inst,[status(thm)],[])).
% 6.59/5.23 tff(23688,plain,
% 6.59/5.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s295, c_n2) | (~node10(s295))),
% 6.59/5.23 inference(modus_ponens,[status(thm)],[23687, 23686])).
% 6.59/5.23 tff(23689,plain,
% 6.59/5.23 (~node10(s295)),
% 6.59/5.23 inference(unit_resolution,[status(thm)],[23688, 372, 23681])).
% 6.59/5.23 tff(23690,plain,
% 6.59/5.23 (((~![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(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23691,plain,
% 6.59/5.24 (((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2)) <=> ((~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23692,plain,
% 6.59/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, 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(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295))))),
% 6.59/5.24 inference(monotonicity,[status(thm)],[23691])).
% 6.59/5.24 tff(23693,plain,
% 6.59/5.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, 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(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295)))),
% 6.59/5.24 inference(transitivity,[status(thm)],[23692, 23690])).
% 6.59/5.24 tff(23694,plain,
% 6.59/5.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s294, s295)) | (~m_main_v_state2(s294, c_t2)) | m_main_v_state2(s295, c_t2))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23695,plain,
% 6.59/5.24 ((~![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(s294, c_t2)) | m_main_v_state2(s295, c_t2) | (~node13(s294, s295))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 6.59/5.24 tff(23696,plain,
% 6.59/5.24 (m_main_v_state2(s295, c_t2)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23695, 563, 23595, 23674])).
% 6.59/5.24 tff(23697,plain,
% 6.59/5.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23698,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23699,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s294, c_t1)) | (~m_main_v_state1(s294, c_c1))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 6.59/5.24 tff(23700,plain,
% 6.59/5.24 (~m_main_v_state1(s294, c_t1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23699, 289, 23650])).
% 6.59/5.24 tff(23701,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s294, c_t1) | (~node5(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s294, c_t1) | (~node5(s294)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23702,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s294, c_t1) | (~node5(s294)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23703,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s294, c_t1) | (~node5(s294))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 6.59/5.24 tff(23704,plain,
% 6.59/5.24 (~node5(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23703, 300, 23700])).
% 6.59/5.24 tff(23705,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s294, c_n2) | (~node4(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s294, c_n2) | (~node4(s294)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23706,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s294, c_n2) | (~node4(s294)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23707,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s294, c_n2) | (~node4(s294))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23706, 23705])).
% 6.59/5.24 tff(23708,plain,
% 6.59/5.24 (~node4(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23707, 162, 23599])).
% 6.59/5.24 tff(23709,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s294, c_c2) | (~node3(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s294, c_c2) | (~node3(s294)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23710,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s294, c_c2) | (~node3(s294)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23711,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s294, c_c2) | (~node3(s294))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 6.59/5.24 tff(23712,plain,
% 6.59/5.24 (~node3(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23711, 184, 23615])).
% 6.59/5.24 tff(23713,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s294, c_n2) | (~node2(s294)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s294, c_n2) | (~node2(s294)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23714,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s294, c_n2) | (~node2(s294)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23715,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s294, c_n2) | (~node2(s294))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23714, 23713])).
% 6.59/5.24 tff(23716,plain,
% 6.59/5.24 (~node2(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23715, 195, 23599])).
% 6.59/5.24 tff(23717,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s294, c_n1) | (~node1(s294)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s294, c_n1) | (~node1(s294)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23718,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s294, c_n1) | (~node1(s294)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23719,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s294, c_n1) | (~node1(s294))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23718, 23717])).
% 6.59/5.24 tff(23720,plain,
% 6.59/5.24 (~node1(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23719, 249, 23654])).
% 6.59/5.24 tff(23721,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s294, s295)) | node7(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s294, s295)) | node7(s294, s295))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23722,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s294, s295)) | node7(s294, s295))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23723,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s294, s295)) | node7(s294, s295)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23722, 23721])).
% 6.59/5.24 tff(23724,plain,
% 6.59/5.24 (node7(s294, s295)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23723, 217, 23665])).
% 6.59/5.24 tff(23725,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23726,plain,
% 6.59/5.24 (((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1)) <=> (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23727,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, 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(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295))))),
% 6.59/5.24 inference(monotonicity,[status(thm)],[23726])).
% 6.59/5.24 tff(23728,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, 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(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)))),
% 6.59/5.24 inference(transitivity,[status(thm)],[23727, 23725])).
% 6.59/5.24 tff(23729,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295)) | m_main_v_state1(s295, c_n1))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23730,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294) | (~node7(s294, s295))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 6.59/5.24 tff(23731,plain,
% 6.59/5.24 (m_main_v_state1(s295, c_n1) | (~m_main_v_state1(s294, c_c1)) | node1(s294) | node2(s294) | node3(s294) | node4(s294) | node5(s294)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23730, 478, 23724])).
% 6.59/5.24 tff(23732,plain,
% 6.59/5.24 (m_main_v_state1(s295, c_n1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23731, 23720, 23650, 23716, 23712, 23708, 23704])).
% 6.59/5.24 tff(23733,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s295, c_n2) | (~node8(s295)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s295, c_n2) | (~node8(s295)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23734,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s295, c_n2) | (~node8(s295)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23735,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s295, c_n2) | (~node8(s295))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23734, 23733])).
% 6.59/5.24 tff(23736,plain,
% 6.59/5.24 (~node8(s295)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23735, 383, 23681])).
% 6.59/5.24 tff(23737,plain,
% 6.59/5.24 (succ(s295, s296) <=> succ(s295, s296)),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23738,axiom,(succ(s295, s296)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound296')).
% 6.59/5.24 tff(23739,plain,
% 6.59/5.24 (succ(s295, s296)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23738, 23737])).
% 6.59/5.24 tff(23740,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23741,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23742,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23741, 23740])).
% 6.59/5.24 tff(23743,plain,
% 6.59/5.24 (trans(s295, s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23742, 23739, 57])).
% 6.59/5.24 tff(23744,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s295, s296)) | node14(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s295, s296)) | node14(s295, s296))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23745,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s295, s296)) | node14(s295, s296))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23746,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s295, s296)) | node14(s295, s296)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23745, 23744])).
% 6.59/5.24 tff(23747,plain,
% 6.59/5.24 (node14(s295, s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23746, 130, 23743])).
% 6.59/5.24 tff(23748,plain,
% 6.59/5.24 (((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, 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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23749,plain,
% 6.59/5.24 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23750,plain,
% 6.59/5.24 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | (~node14(s295, s296)) | m_main_v_state2(s296, c_c2)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23749, 23748])).
% 6.59/5.24 tff(23751,plain,
% 6.59/5.24 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | node9(s295) | node8(s295) | node10(s295) | m_main_v_state2(s296, c_c2)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23750, 704, 23747])).
% 6.59/5.24 tff(23752,plain,
% 6.59/5.24 (m_main_v_state2(s296, c_c2)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23751, 23736, 23732, 23696, 23689, 23685])).
% 6.59/5.24 tff(23753,plain,
% 6.59/5.24 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23754,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23755,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_t2)) | (~m_main_v_state2(s296, c_c2))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23754, 23753])).
% 6.59/5.24 tff(23756,plain,
% 6.59/5.24 (~m_main_v_state2(s296, c_t2)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23755, 173, 23752])).
% 6.59/5.24 tff(23757,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s296, c_t2) | (~node12(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s296, c_t2) | (~node12(s296)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23758,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s296, c_t2) | (~node12(s296)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23759,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s296, c_t2) | (~node12(s296))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23758, 23757])).
% 6.59/5.24 tff(23760,plain,
% 6.59/5.24 (~node12(s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23759, 778, 23756])).
% 6.59/5.24 tff(23761,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s295, s296)) | node7(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s295, s296)) | node7(s295, s296))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23762,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s295, s296)) | node7(s295, s296))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23763,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s295, s296)) | node7(s295, s296)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 6.59/5.24 tff(23764,plain,
% 6.59/5.24 (node7(s295, s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23763, 217, 23743])).
% 6.59/5.24 tff(23765,plain,
% 6.59/5.24 (((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, 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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23766,plain,
% 6.59/5.24 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23767,plain,
% 6.59/5.24 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node7(s295, s296)) | m_main_v_state1(s296, c_t1)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 6.59/5.24 tff(23768,plain,
% 6.59/5.24 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_state1(s296, c_t1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23767, 598, 23764])).
% 6.59/5.24 tff(23769,plain,
% 6.59/5.24 (m_main_v_state1(s296, c_t1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23768, 23696, 23732])).
% 6.59/5.24 tff(23770,plain,
% 6.59/5.24 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23771,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23772,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s296, c_n1)) | (~m_main_v_state1(s296, c_t1))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23771, 23770])).
% 6.59/5.24 tff(23773,plain,
% 6.59/5.24 (~m_main_v_state1(s296, c_n1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23772, 35, 23769])).
% 6.59/5.24 tff(23774,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s296, c_n1) | (~node11(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s296, c_n1) | (~node11(s296)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23775,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s296, c_n1) | (~node11(s296)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23776,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s296, c_n1) | (~node11(s296))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23775, 23774])).
% 6.59/5.24 tff(23777,plain,
% 6.59/5.24 (~node11(s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23776, 361, 23773])).
% 6.59/5.24 tff(23778,plain,
% 6.59/5.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23779,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23780,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s296, c_t1)) | (~m_main_v_state1(s296, c_c1))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23779, 23778])).
% 6.59/5.24 tff(23781,plain,
% 6.59/5.24 (~m_main_v_state1(s296, c_c1)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23780, 289, 23769])).
% 6.59/5.24 tff(23782,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s296, c_c1) | (~node10(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s296, c_c1) | (~node10(s296)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23783,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s296, c_c1) | (~node10(s296)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23784,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s296, c_c1) | (~node10(s296))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23783, 23782])).
% 6.59/5.24 tff(23785,plain,
% 6.59/5.24 (~node10(s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23784, 793, 23781])).
% 6.59/5.24 tff(23786,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s296, c_n1) | (~node9(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s296, c_n1) | (~node9(s296)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23787,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s296, c_n1) | (~node9(s296)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23788,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s296, c_n1) | (~node9(s296))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 6.59/5.24 tff(23789,plain,
% 6.59/5.24 (~node9(s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23788, 804, 23773])).
% 6.59/5.24 tff(23790,plain,
% 6.59/5.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23791,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23792,plain,
% 6.59/5.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s296, c_n2)) | (~m_main_v_state2(s296, c_c2))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23791, 23790])).
% 6.59/5.24 tff(23793,plain,
% 6.59/5.24 (~m_main_v_state2(s296, c_n2)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23792, 716, 23752])).
% 6.59/5.24 tff(23794,plain,
% 6.59/5.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s296, c_n2) | (~node8(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s296, c_n2) | (~node8(s296)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23795,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s296, c_n2) | (~node8(s296)))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23796,plain,
% 6.59/5.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s296, c_n2) | (~node8(s296))),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23795, 23794])).
% 6.59/5.24 tff(23797,plain,
% 6.59/5.24 (~node8(s296)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23796, 383, 23793])).
% 6.59/5.24 tff(23798,plain,
% 6.59/5.24 (succ(s296, s297) <=> succ(s296, s297)),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23799,axiom,(succ(s296, s297)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound297')).
% 6.59/5.24 tff(23800,plain,
% 6.59/5.24 (succ(s296, s297)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23799, 23798])).
% 6.59/5.24 tff(23801,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23802,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23803,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 6.59/5.24 tff(23804,plain,
% 6.59/5.24 (trans(s296, s297)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23803, 23800, 57])).
% 6.59/5.24 tff(23805,plain,
% 6.59/5.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s296, s297)) | node14(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s296, s297)) | node14(s296, s297))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23806,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s296, s297)) | node14(s296, s297))),
% 6.59/5.24 inference(quant_inst,[status(thm)],[])).
% 6.59/5.24 tff(23807,plain,
% 6.59/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s296, s297)) | node14(s296, s297)),
% 6.59/5.24 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 6.59/5.24 tff(23808,plain,
% 6.59/5.24 (node14(s296, s297)),
% 6.59/5.24 inference(unit_resolution,[status(thm)],[23807, 130, 23804])).
% 6.59/5.24 tff(23809,plain,
% 6.59/5.24 (((~![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(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, 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(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23810,plain,
% 6.59/5.24 (((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2)) <=> (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.24 inference(rewrite,[status(thm)],[])).
% 6.59/5.24 tff(23811,plain,
% 6.59/5.24 (((~![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(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, 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(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2))))),
% 6.59/5.24 inference(monotonicity,[status(thm)],[23810])).
% 6.59/5.24 tff(23812,plain,
% 6.59/5.24 (((~![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(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, 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(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23811, 23809])).
% 6.59/5.25 tff(23813,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s296, c_c2)) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | m_main_v_state2(s297, c_n2))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23814,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~node14(s296, s297)) | (~m_main_v_state2(s296, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23813, 23812])).
% 6.59/5.25 tff(23815,plain,
% 6.59/5.25 (m_main_v_state2(s297, c_n2) | node9(s296) | node8(s296) | node10(s296) | node11(s296) | node12(s296) | (~m_main_v_state2(s296, c_c2))),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23814, 826, 23808])).
% 6.59/5.25 tff(23816,plain,
% 6.59/5.25 (m_main_v_state2(s297, c_n2)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23815, 23797, 23752, 23789, 23785, 23777, 23760])).
% 6.59/5.25 tff(23817,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23818,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23819,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_t2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 6.59/5.25 tff(23820,plain,
% 6.59/5.25 (~m_main_v_state2(s297, c_t2)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23819, 10, 23816])).
% 6.59/5.25 tff(23821,plain,
% 6.59/5.25 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node26(X))) <=> (m_main_v_state2(X, c_t2) | (~node26(X))))),
% 6.59/5.25 inference(bind,[status(th)],[])).
% 6.59/5.25 tff(23822,plain,
% 6.59/5.25 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 6.59/5.25 inference(quant_intro,[status(thm)],[23821])).
% 6.59/5.25 tff(23823,plain,
% 6.59/5.25 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23824,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty17')).
% 6.59/5.25 tff(23825,plain,
% 6.59/5.25 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 6.59/5.25 tff(23826,plain,(
% 6.59/5.25 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 6.59/5.25 inference(skolemize,[status(sab)],[23825])).
% 6.59/5.25 tff(23827,plain,
% 6.59/5.25 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23826, 23822])).
% 6.59/5.25 tff(23828,plain,
% 6.59/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s297, c_t2) | (~node26(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s297, c_t2) | (~node26(s297)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23829,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s297, c_t2) | (~node26(s297)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23830,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s297, c_t2) | (~node26(s297))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 6.59/5.25 tff(23831,plain,
% 6.59/5.25 (~node26(s297)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23830, 23827, 23820])).
% 6.59/5.25 tff(23832,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s296)) | (~m_main_v_state2(s296, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s296)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23833,plain,
% 6.59/5.25 (((~m_main_v_state2(s296, c_c2)) | (~always25(s296))) <=> ((~always25(s296)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23834,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s296, c_c2)) | (~always25(s296)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s296)) | (~m_main_v_state2(s296, c_c2))))),
% 6.59/5.25 inference(monotonicity,[status(thm)],[23833])).
% 6.59/5.25 tff(23835,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s296, c_c2)) | (~always25(s296)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s296)) | (~m_main_v_state2(s296, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23834, 23832])).
% 6.59/5.25 tff(23836,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s296, c_c2)) | (~always25(s296)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23837,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s296)) | (~m_main_v_state2(s296, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23836, 23835])).
% 6.59/5.25 tff(23838,plain,
% 6.59/5.25 (~always25(s296)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23837, 15526, 23752])).
% 6.59/5.25 tff(23839,plain,
% 6.59/5.25 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 6.59/5.25 inference(bind,[status(th)],[])).
% 6.59/5.25 tff(23840,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(quant_intro,[status(thm)],[23839])).
% 6.59/5.25 tff(23841,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23842,plain,
% 6.59/5.25 (^[Y: $i, X: $i] : rewrite(((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 6.59/5.25 inference(bind,[status(th)],[])).
% 6.59/5.25 tff(23843,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(quant_intro,[status(thm)],[23842])).
% 6.59/5.25 tff(23844,axiom,(![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty15')).
% 6.59/5.25 tff(23845,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23844, 23843])).
% 6.59/5.25 tff(23846,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23845, 23841])).
% 6.59/5.25 tff(23847,plain,(
% 6.59/5.25 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(skolemize,[status(sab)],[23846])).
% 6.59/5.25 tff(23848,plain,
% 6.59/5.25 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23847, 23840])).
% 6.59/5.25 tff(23849,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s295, s296)) | (~always25(s295)) | always25(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s295, s296)) | (~always25(s295)) | always25(s296))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23850,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s295, s296)) | (~always25(s295)) | always25(s296))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23851,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s295, s296)) | (~always25(s295)) | always25(s296)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 6.59/5.25 tff(23852,plain,
% 6.59/5.25 ((~always25(s295)) | always25(s296)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23851, 23848, 23743])).
% 6.59/5.25 tff(23853,plain,
% 6.59/5.25 (~always25(s295)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23852, 23838])).
% 6.59/5.25 tff(23854,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s295) | (~node26(s295)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s295) | (~node26(s295)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23855,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s295) | (~node26(s295)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23856,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s295) | (~node26(s295))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23855, 23854])).
% 6.59/5.25 tff(23857,plain,
% 6.59/5.25 (~node26(s295)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23856, 15543, 23853])).
% 6.59/5.25 tff(23858,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s294, s295)) | (~always25(s294)) | always25(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s294, s295)) | (~always25(s294)) | always25(s295))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23859,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s294, s295)) | (~always25(s294)) | always25(s295))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23860,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s294, s295)) | (~always25(s294)) | always25(s295)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23859, 23858])).
% 6.59/5.25 tff(23861,plain,
% 6.59/5.25 ((~always25(s294)) | always25(s295)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23860, 23848, 23665])).
% 6.59/5.25 tff(23862,plain,
% 6.59/5.25 (~always25(s294)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23861, 23853])).
% 6.59/5.25 tff(23863,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s294) | (~node26(s294)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s294) | (~node26(s294)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23864,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s294) | (~node26(s294)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23865,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s294) | (~node26(s294))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23864, 23863])).
% 6.59/5.25 tff(23866,plain,
% 6.59/5.25 (~node26(s294)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23865, 15543, 23862])).
% 6.59/5.25 tff(23867,plain,
% 6.59/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s293, c_t2) | (~node26(s293)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s293, c_t2) | (~node26(s293)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23868,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s293, c_t2) | (~node26(s293)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23869,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s293, c_t2) | (~node26(s293))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 6.59/5.25 tff(23870,plain,
% 6.59/5.25 (~node26(s293)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23869, 23827, 23555])).
% 6.59/5.25 tff(23871,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s292)) | (~m_main_v_state2(s292, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s292)) | (~m_main_v_state2(s292, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23872,plain,
% 6.59/5.25 (((~m_main_v_state2(s292, c_c2)) | (~always25(s292))) <=> ((~always25(s292)) | (~m_main_v_state2(s292, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23873,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s292, c_c2)) | (~always25(s292)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s292)) | (~m_main_v_state2(s292, c_c2))))),
% 6.59/5.25 inference(monotonicity,[status(thm)],[23872])).
% 6.59/5.25 tff(23874,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s292, c_c2)) | (~always25(s292)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s292)) | (~m_main_v_state2(s292, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23873, 23871])).
% 6.59/5.25 tff(23875,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s292, c_c2)) | (~always25(s292)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23876,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s292)) | (~m_main_v_state2(s292, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 6.59/5.25 tff(23877,plain,
% 6.59/5.25 (~always25(s292)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23876, 15526, 23484])).
% 6.59/5.25 tff(23878,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s291, s292)) | (~always25(s291)) | always25(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s291, s292)) | (~always25(s291)) | always25(s292))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23879,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s291, s292)) | (~always25(s291)) | always25(s292))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23880,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s291, s292)) | (~always25(s291)) | always25(s292)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 6.59/5.25 tff(23881,plain,
% 6.59/5.25 ((~always25(s291)) | always25(s292)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23880, 23848, 23410])).
% 6.59/5.25 tff(23882,plain,
% 6.59/5.25 (~always25(s291)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23881, 23877])).
% 6.59/5.25 tff(23883,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s291) | (~node26(s291)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s291) | (~node26(s291)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23884,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s291) | (~node26(s291)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23885,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s291) | (~node26(s291))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 6.59/5.25 tff(23886,plain,
% 6.59/5.25 (~node26(s291)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23885, 15543, 23882])).
% 6.59/5.25 tff(23887,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s290, s291)) | (~always25(s290)) | always25(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s290, s291)) | (~always25(s290)) | always25(s291))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23888,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s290, s291)) | (~always25(s290)) | always25(s291))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23889,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s290, s291)) | (~always25(s290)) | always25(s291)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 6.59/5.25 tff(23890,plain,
% 6.59/5.25 ((~always25(s290)) | always25(s291)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23889, 23848, 23335])).
% 6.59/5.25 tff(23891,plain,
% 6.59/5.25 (~always25(s290)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23890, 23882])).
% 6.59/5.25 tff(23892,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s290) | (~node26(s290)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s290) | (~node26(s290)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23893,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s290) | (~node26(s290)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23894,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s290) | (~node26(s290))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23893, 23892])).
% 6.59/5.25 tff(23895,plain,
% 6.59/5.25 (~node26(s290)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23894, 15543, 23891])).
% 6.59/5.25 tff(23896,plain,
% 6.59/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s289, c_t2) | (~node26(s289)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s289, c_t2) | (~node26(s289)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23897,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s289, c_t2) | (~node26(s289)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23898,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s289, c_t2) | (~node26(s289))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 6.59/5.25 tff(23899,plain,
% 6.59/5.25 (~node26(s289)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23898, 23827, 23260])).
% 6.59/5.25 tff(23900,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s288)) | (~m_main_v_state2(s288, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s288)) | (~m_main_v_state2(s288, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23901,plain,
% 6.59/5.25 (((~m_main_v_state2(s288, c_c2)) | (~always25(s288))) <=> ((~always25(s288)) | (~m_main_v_state2(s288, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23902,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s288, c_c2)) | (~always25(s288)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s288)) | (~m_main_v_state2(s288, c_c2))))),
% 6.59/5.25 inference(monotonicity,[status(thm)],[23901])).
% 6.59/5.25 tff(23903,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s288, c_c2)) | (~always25(s288)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s288)) | (~m_main_v_state2(s288, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23902, 23900])).
% 6.59/5.25 tff(23904,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s288, c_c2)) | (~always25(s288)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23905,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s288)) | (~m_main_v_state2(s288, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23904, 23903])).
% 6.59/5.25 tff(23906,plain,
% 6.59/5.25 (~always25(s288)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23905, 15526, 23124])).
% 6.59/5.25 tff(23907,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s287, s288)) | (~always25(s287)) | always25(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s287, s288)) | (~always25(s287)) | always25(s288))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23908,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s287, s288)) | (~always25(s287)) | always25(s288))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23909,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s287, s288)) | (~always25(s287)) | always25(s288)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23908, 23907])).
% 6.59/5.25 tff(23910,plain,
% 6.59/5.25 ((~always25(s287)) | always25(s288)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23909, 23848, 23115])).
% 6.59/5.25 tff(23911,plain,
% 6.59/5.25 (~always25(s287)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23910, 23906])).
% 6.59/5.25 tff(23912,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s287) | (~node26(s287)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s287) | (~node26(s287)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23913,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s287) | (~node26(s287)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23914,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s287) | (~node26(s287))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23913, 23912])).
% 6.59/5.25 tff(23915,plain,
% 6.59/5.25 (~node26(s287)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23914, 15543, 23911])).
% 6.59/5.25 tff(23916,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s286, s287)) | (~always25(s286)) | always25(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s286, s287)) | (~always25(s286)) | always25(s287))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23917,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s286, s287)) | (~always25(s286)) | always25(s287))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23918,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s286, s287)) | (~always25(s286)) | always25(s287)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 6.59/5.25 tff(23919,plain,
% 6.59/5.25 ((~always25(s286)) | always25(s287)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23918, 23848, 23037])).
% 6.59/5.25 tff(23920,plain,
% 6.59/5.25 (~always25(s286)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23919, 23911])).
% 6.59/5.25 tff(23921,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s286) | (~node26(s286)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s286) | (~node26(s286)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23922,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s286) | (~node26(s286)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23923,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s286) | (~node26(s286))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 6.59/5.25 tff(23924,plain,
% 6.59/5.25 (~node26(s286)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23923, 15543, 23920])).
% 6.59/5.25 tff(23925,plain,
% 6.59/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s285, c_t2) | (~node26(s285)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s285, c_t2) | (~node26(s285)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23926,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s285, c_t2) | (~node26(s285)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23927,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s285, c_t2) | (~node26(s285))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23926, 23925])).
% 6.59/5.25 tff(23928,plain,
% 6.59/5.25 (~node26(s285)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23927, 23827, 22927])).
% 6.59/5.25 tff(23929,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s284)) | (~m_main_v_state2(s284, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s284)) | (~m_main_v_state2(s284, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23930,plain,
% 6.59/5.25 (((~m_main_v_state2(s284, c_c2)) | (~always25(s284))) <=> ((~always25(s284)) | (~m_main_v_state2(s284, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23931,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s284, c_c2)) | (~always25(s284)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s284)) | (~m_main_v_state2(s284, c_c2))))),
% 6.59/5.25 inference(monotonicity,[status(thm)],[23930])).
% 6.59/5.25 tff(23932,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s284, c_c2)) | (~always25(s284)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s284)) | (~m_main_v_state2(s284, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23931, 23929])).
% 6.59/5.25 tff(23933,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s284, c_c2)) | (~always25(s284)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23934,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s284)) | (~m_main_v_state2(s284, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23933, 23932])).
% 6.59/5.25 tff(23935,plain,
% 6.59/5.25 (~always25(s284)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23934, 15526, 22856])).
% 6.59/5.25 tff(23936,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s283, s284)) | (~always25(s283)) | always25(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s283, s284)) | (~always25(s283)) | always25(s284))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23937,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s283, s284)) | (~always25(s283)) | always25(s284))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23938,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s283, s284)) | (~always25(s283)) | always25(s284)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23937, 23936])).
% 6.59/5.25 tff(23939,plain,
% 6.59/5.25 ((~always25(s283)) | always25(s284)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23938, 23848, 22782])).
% 6.59/5.25 tff(23940,plain,
% 6.59/5.25 (~always25(s283)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23939, 23935])).
% 6.59/5.25 tff(23941,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s283) | (~node26(s283)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s283) | (~node26(s283)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23942,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s283) | (~node26(s283)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23943,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s283) | (~node26(s283))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 6.59/5.25 tff(23944,plain,
% 6.59/5.25 (~node26(s283)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23943, 15543, 23940])).
% 6.59/5.25 tff(23945,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s282, s283)) | (~always25(s282)) | always25(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s282, s283)) | (~always25(s282)) | always25(s283))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23946,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s282, s283)) | (~always25(s282)) | always25(s283))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23947,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s282, s283)) | (~always25(s282)) | always25(s283)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23946, 23945])).
% 6.59/5.25 tff(23948,plain,
% 6.59/5.25 ((~always25(s282)) | always25(s283)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23947, 23848, 22707])).
% 6.59/5.25 tff(23949,plain,
% 6.59/5.25 (~always25(s282)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23948, 23940])).
% 6.59/5.25 tff(23950,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s282) | (~node26(s282)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s282) | (~node26(s282)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23951,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s282) | (~node26(s282)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23952,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s282) | (~node26(s282))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23951, 23950])).
% 6.59/5.25 tff(23953,plain,
% 6.59/5.25 (~node26(s282)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23952, 15543, 23949])).
% 6.59/5.25 tff(23954,plain,
% 6.59/5.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s281, c_t2) | (~node26(s281)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s281, c_t2) | (~node26(s281)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23955,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s281, c_t2) | (~node26(s281)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23956,plain,
% 6.59/5.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s281, c_t2) | (~node26(s281))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23955, 23954])).
% 6.59/5.25 tff(23957,plain,
% 6.59/5.25 (~node26(s281)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23956, 23827, 22632])).
% 6.59/5.25 tff(23958,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s280)) | (~m_main_v_state2(s280, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s280)) | (~m_main_v_state2(s280, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23959,plain,
% 6.59/5.25 (((~m_main_v_state2(s280, c_c2)) | (~always25(s280))) <=> ((~always25(s280)) | (~m_main_v_state2(s280, c_c2)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23960,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s280, c_c2)) | (~always25(s280)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s280)) | (~m_main_v_state2(s280, c_c2))))),
% 6.59/5.25 inference(monotonicity,[status(thm)],[23959])).
% 6.59/5.25 tff(23961,plain,
% 6.59/5.25 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s280, c_c2)) | (~always25(s280)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s280)) | (~m_main_v_state2(s280, c_c2)))),
% 6.59/5.25 inference(transitivity,[status(thm)],[23960, 23958])).
% 6.59/5.25 tff(23962,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s280, c_c2)) | (~always25(s280)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23963,plain,
% 6.59/5.25 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s280)) | (~m_main_v_state2(s280, c_c2))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 6.59/5.25 tff(23964,plain,
% 6.59/5.25 (~always25(s280)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23963, 15526, 22496])).
% 6.59/5.25 tff(23965,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s279, s280)) | (~always25(s279)) | always25(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s279, s280)) | (~always25(s279)) | always25(s280))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23966,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s279, s280)) | (~always25(s279)) | always25(s280))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23967,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s279, s280)) | (~always25(s279)) | always25(s280)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 6.59/5.25 tff(23968,plain,
% 6.59/5.25 ((~always25(s279)) | always25(s280)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23967, 23848, 22487])).
% 6.59/5.25 tff(23969,plain,
% 6.59/5.25 (~always25(s279)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23968, 23964])).
% 6.59/5.25 tff(23970,plain,
% 6.59/5.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s279) | (~node26(s279)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s279) | (~node26(s279)))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23971,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s279) | (~node26(s279)))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23972,plain,
% 6.59/5.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s279) | (~node26(s279))),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 6.59/5.25 tff(23973,plain,
% 6.59/5.25 (~node26(s279)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23972, 15543, 23969])).
% 6.59/5.25 tff(23974,plain,
% 6.59/5.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s278, s279)) | (~always25(s278)) | always25(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s278, s279)) | (~always25(s278)) | always25(s279))),
% 6.59/5.25 inference(rewrite,[status(thm)],[])).
% 6.59/5.25 tff(23975,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s278, s279)) | (~always25(s278)) | always25(s279))),
% 6.59/5.25 inference(quant_inst,[status(thm)],[])).
% 6.59/5.25 tff(23976,plain,
% 6.59/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s278, s279)) | (~always25(s278)) | always25(s279)),
% 6.59/5.25 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 6.59/5.25 tff(23977,plain,
% 6.59/5.25 ((~always25(s278)) | always25(s279)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23976, 23848, 22409])).
% 6.59/5.25 tff(23978,plain,
% 6.59/5.25 (~always25(s278)),
% 6.59/5.25 inference(unit_resolution,[status(thm)],[23977, 23969])).
% 6.59/5.26 tff(23979,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s278) | (~node26(s278)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s278) | (~node26(s278)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(23980,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s278) | (~node26(s278)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(23981,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s278) | (~node26(s278))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[23980, 23979])).
% 6.59/5.26 tff(23982,plain,
% 6.59/5.26 (~node26(s278)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[23981, 15543, 23978])).
% 6.59/5.26 tff(23983,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s277, c_t2) | (~node26(s277)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s277, c_t2) | (~node26(s277)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(23984,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s277, c_t2) | (~node26(s277)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(23985,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s277, c_t2) | (~node26(s277))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 6.59/5.26 tff(23986,plain,
% 6.59/5.26 (~node26(s277)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[23985, 23827, 22299])).
% 6.59/5.26 tff(23987,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s276)) | (~m_main_v_state2(s276, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s276)) | (~m_main_v_state2(s276, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(23988,plain,
% 6.59/5.26 (((~m_main_v_state2(s276, c_c2)) | (~always25(s276))) <=> ((~always25(s276)) | (~m_main_v_state2(s276, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(23989,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s276, c_c2)) | (~always25(s276)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s276)) | (~m_main_v_state2(s276, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[23988])).
% 6.59/5.26 tff(23990,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s276, c_c2)) | (~always25(s276)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s276)) | (~m_main_v_state2(s276, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[23989, 23987])).
% 6.59/5.26 tff(23991,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s276, c_c2)) | (~always25(s276)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(23992,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s276)) | (~m_main_v_state2(s276, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 6.59/5.26 tff(23993,plain,
% 6.59/5.26 (~always25(s276)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[23992, 15526, 22228])).
% 6.59/5.26 tff(23994,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s275, s276)) | (~always25(s275)) | always25(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s275, s276)) | (~always25(s275)) | always25(s276))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(23995,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s275, s276)) | (~always25(s275)) | always25(s276))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(23996,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s275, s276)) | (~always25(s275)) | always25(s276)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 6.59/5.26 tff(23997,plain,
% 6.59/5.26 ((~always25(s275)) | always25(s276)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[23996, 23848, 22154])).
% 6.59/5.26 tff(23998,plain,
% 6.59/5.26 (~always25(s275)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[23997, 23993])).
% 6.59/5.26 tff(23999,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s275) | (~node26(s275)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s275) | (~node26(s275)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24000,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s275) | (~node26(s275)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24001,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s275) | (~node26(s275))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 6.59/5.26 tff(24002,plain,
% 6.59/5.26 (~node26(s275)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24001, 15543, 23998])).
% 6.59/5.26 tff(24003,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s274, s275)) | (~always25(s274)) | always25(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s274, s275)) | (~always25(s274)) | always25(s275))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24004,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s274, s275)) | (~always25(s274)) | always25(s275))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24005,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s274, s275)) | (~always25(s274)) | always25(s275)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24004, 24003])).
% 6.59/5.26 tff(24006,plain,
% 6.59/5.26 ((~always25(s274)) | always25(s275)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24005, 23848, 22079])).
% 6.59/5.26 tff(24007,plain,
% 6.59/5.26 (~always25(s274)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24006, 23998])).
% 6.59/5.26 tff(24008,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s274) | (~node26(s274)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s274) | (~node26(s274)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24009,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s274) | (~node26(s274)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24010,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s274) | (~node26(s274))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24009, 24008])).
% 6.59/5.26 tff(24011,plain,
% 6.59/5.26 (~node26(s274)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24010, 15543, 24007])).
% 6.59/5.26 tff(24012,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s273, c_t2) | (~node26(s273)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s273, c_t2) | (~node26(s273)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24013,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s273, c_t2) | (~node26(s273)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24014,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s273, c_t2) | (~node26(s273))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 6.59/5.26 tff(24015,plain,
% 6.59/5.26 (~node26(s273)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24014, 23827, 22004])).
% 6.59/5.26 tff(24016,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s272)) | (~m_main_v_state2(s272, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s272)) | (~m_main_v_state2(s272, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24017,plain,
% 6.59/5.26 (((~m_main_v_state2(s272, c_c2)) | (~always25(s272))) <=> ((~always25(s272)) | (~m_main_v_state2(s272, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24018,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s272, c_c2)) | (~always25(s272)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s272)) | (~m_main_v_state2(s272, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[24017])).
% 6.59/5.26 tff(24019,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s272, c_c2)) | (~always25(s272)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s272)) | (~m_main_v_state2(s272, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[24018, 24016])).
% 6.59/5.26 tff(24020,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s272, c_c2)) | (~always25(s272)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24021,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s272)) | (~m_main_v_state2(s272, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 6.59/5.26 tff(24022,plain,
% 6.59/5.26 (~always25(s272)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24021, 15526, 21868])).
% 6.59/5.26 tff(24023,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s271, s272)) | (~always25(s271)) | always25(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s271, s272)) | (~always25(s271)) | always25(s272))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24024,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s271, s272)) | (~always25(s271)) | always25(s272))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24025,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s271, s272)) | (~always25(s271)) | always25(s272)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 6.59/5.26 tff(24026,plain,
% 6.59/5.26 ((~always25(s271)) | always25(s272)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24025, 23848, 21859])).
% 6.59/5.26 tff(24027,plain,
% 6.59/5.26 (~always25(s271)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24026, 24022])).
% 6.59/5.26 tff(24028,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s271) | (~node26(s271)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s271) | (~node26(s271)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24029,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s271) | (~node26(s271)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24030,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s271) | (~node26(s271))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24029, 24028])).
% 6.59/5.26 tff(24031,plain,
% 6.59/5.26 (~node26(s271)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24030, 15543, 24027])).
% 6.59/5.26 tff(24032,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s270, s271)) | (~always25(s270)) | always25(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s270, s271)) | (~always25(s270)) | always25(s271))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24033,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s270, s271)) | (~always25(s270)) | always25(s271))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24034,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s270, s271)) | (~always25(s270)) | always25(s271)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24033, 24032])).
% 6.59/5.26 tff(24035,plain,
% 6.59/5.26 ((~always25(s270)) | always25(s271)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24034, 23848, 21781])).
% 6.59/5.26 tff(24036,plain,
% 6.59/5.26 (~always25(s270)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24035, 24027])).
% 6.59/5.26 tff(24037,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s270) | (~node26(s270)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s270) | (~node26(s270)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24038,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s270) | (~node26(s270)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24039,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s270) | (~node26(s270))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24038, 24037])).
% 6.59/5.26 tff(24040,plain,
% 6.59/5.26 (~node26(s270)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24039, 15543, 24036])).
% 6.59/5.26 tff(24041,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s269, c_t2) | (~node26(s269)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s269, c_t2) | (~node26(s269)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24042,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s269, c_t2) | (~node26(s269)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24043,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s269, c_t2) | (~node26(s269))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24042, 24041])).
% 6.59/5.26 tff(24044,plain,
% 6.59/5.26 (~node26(s269)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24043, 23827, 21671])).
% 6.59/5.26 tff(24045,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s268)) | (~m_main_v_state2(s268, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s268)) | (~m_main_v_state2(s268, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24046,plain,
% 6.59/5.26 (((~m_main_v_state2(s268, c_c2)) | (~always25(s268))) <=> ((~always25(s268)) | (~m_main_v_state2(s268, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24047,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s268, c_c2)) | (~always25(s268)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s268)) | (~m_main_v_state2(s268, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[24046])).
% 6.59/5.26 tff(24048,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s268, c_c2)) | (~always25(s268)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s268)) | (~m_main_v_state2(s268, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[24047, 24045])).
% 6.59/5.26 tff(24049,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s268, c_c2)) | (~always25(s268)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24050,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s268)) | (~m_main_v_state2(s268, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24049, 24048])).
% 6.59/5.26 tff(24051,plain,
% 6.59/5.26 (~always25(s268)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24050, 15526, 21600])).
% 6.59/5.26 tff(24052,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s267, s268)) | (~always25(s267)) | always25(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s267, s268)) | (~always25(s267)) | always25(s268))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24053,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s267, s268)) | (~always25(s267)) | always25(s268))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24054,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s267, s268)) | (~always25(s267)) | always25(s268)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24053, 24052])).
% 6.59/5.26 tff(24055,plain,
% 6.59/5.26 ((~always25(s267)) | always25(s268)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24054, 23848, 21526])).
% 6.59/5.26 tff(24056,plain,
% 6.59/5.26 (~always25(s267)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24055, 24051])).
% 6.59/5.26 tff(24057,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s267) | (~node26(s267)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s267) | (~node26(s267)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24058,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s267) | (~node26(s267)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24059,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s267) | (~node26(s267))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 6.59/5.26 tff(24060,plain,
% 6.59/5.26 (~node26(s267)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24059, 15543, 24056])).
% 6.59/5.26 tff(24061,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s266, s267)) | (~always25(s266)) | always25(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s266, s267)) | (~always25(s266)) | always25(s267))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24062,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s266, s267)) | (~always25(s266)) | always25(s267))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24063,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s266, s267)) | (~always25(s266)) | always25(s267)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24062, 24061])).
% 6.59/5.26 tff(24064,plain,
% 6.59/5.26 ((~always25(s266)) | always25(s267)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24063, 23848, 21451])).
% 6.59/5.26 tff(24065,plain,
% 6.59/5.26 (~always25(s266)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24064, 24056])).
% 6.59/5.26 tff(24066,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s266) | (~node26(s266)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s266) | (~node26(s266)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24067,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s266) | (~node26(s266)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24068,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s266) | (~node26(s266))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 6.59/5.26 tff(24069,plain,
% 6.59/5.26 (~node26(s266)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24068, 15543, 24065])).
% 6.59/5.26 tff(24070,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s265, c_t2) | (~node26(s265)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s265, c_t2) | (~node26(s265)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24071,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s265, c_t2) | (~node26(s265)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24072,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s265, c_t2) | (~node26(s265))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 6.59/5.26 tff(24073,plain,
% 6.59/5.26 (~node26(s265)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24072, 23827, 21376])).
% 6.59/5.26 tff(24074,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s264)) | (~m_main_v_state2(s264, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s264)) | (~m_main_v_state2(s264, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24075,plain,
% 6.59/5.26 (((~m_main_v_state2(s264, c_c2)) | (~always25(s264))) <=> ((~always25(s264)) | (~m_main_v_state2(s264, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24076,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s264, c_c2)) | (~always25(s264)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s264)) | (~m_main_v_state2(s264, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[24075])).
% 6.59/5.26 tff(24077,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s264, c_c2)) | (~always25(s264)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s264)) | (~m_main_v_state2(s264, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[24076, 24074])).
% 6.59/5.26 tff(24078,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s264, c_c2)) | (~always25(s264)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24079,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s264)) | (~m_main_v_state2(s264, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24078, 24077])).
% 6.59/5.26 tff(24080,plain,
% 6.59/5.26 (~always25(s264)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24079, 15526, 21240])).
% 6.59/5.26 tff(24081,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s263, s264)) | (~always25(s263)) | always25(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s263, s264)) | (~always25(s263)) | always25(s264))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24082,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s263, s264)) | (~always25(s263)) | always25(s264))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24083,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s263, s264)) | (~always25(s263)) | always25(s264)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24082, 24081])).
% 6.59/5.26 tff(24084,plain,
% 6.59/5.26 ((~always25(s263)) | always25(s264)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24083, 23848, 21231])).
% 6.59/5.26 tff(24085,plain,
% 6.59/5.26 (~always25(s263)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24084, 24080])).
% 6.59/5.26 tff(24086,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s263) | (~node26(s263)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s263) | (~node26(s263)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24087,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s263) | (~node26(s263)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24088,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s263) | (~node26(s263))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 6.59/5.26 tff(24089,plain,
% 6.59/5.26 (~node26(s263)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24088, 15543, 24085])).
% 6.59/5.26 tff(24090,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s262, s263)) | (~always25(s262)) | always25(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s262, s263)) | (~always25(s262)) | always25(s263))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24091,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s262, s263)) | (~always25(s262)) | always25(s263))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24092,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s262, s263)) | (~always25(s262)) | always25(s263)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 6.59/5.26 tff(24093,plain,
% 6.59/5.26 ((~always25(s262)) | always25(s263)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24092, 23848, 21153])).
% 6.59/5.26 tff(24094,plain,
% 6.59/5.26 (~always25(s262)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24093, 24085])).
% 6.59/5.26 tff(24095,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s262) | (~node26(s262)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s262) | (~node26(s262)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24096,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s262) | (~node26(s262)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24097,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s262) | (~node26(s262))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24096, 24095])).
% 6.59/5.26 tff(24098,plain,
% 6.59/5.26 (~node26(s262)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24097, 15543, 24094])).
% 6.59/5.26 tff(24099,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s261, c_t2) | (~node26(s261)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s261, c_t2) | (~node26(s261)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24100,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s261, c_t2) | (~node26(s261)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24101,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s261, c_t2) | (~node26(s261))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 6.59/5.26 tff(24102,plain,
% 6.59/5.26 (~node26(s261)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24101, 23827, 21043])).
% 6.59/5.26 tff(24103,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s260)) | (~m_main_v_state2(s260, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s260)) | (~m_main_v_state2(s260, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24104,plain,
% 6.59/5.26 (((~m_main_v_state2(s260, c_c2)) | (~always25(s260))) <=> ((~always25(s260)) | (~m_main_v_state2(s260, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24105,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s260, c_c2)) | (~always25(s260)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s260)) | (~m_main_v_state2(s260, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[24104])).
% 6.59/5.26 tff(24106,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s260, c_c2)) | (~always25(s260)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s260)) | (~m_main_v_state2(s260, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[24105, 24103])).
% 6.59/5.26 tff(24107,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s260, c_c2)) | (~always25(s260)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24108,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s260)) | (~m_main_v_state2(s260, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24107, 24106])).
% 6.59/5.26 tff(24109,plain,
% 6.59/5.26 (~always25(s260)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24108, 15526, 20972])).
% 6.59/5.26 tff(24110,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s259, s260)) | (~always25(s259)) | always25(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s259, s260)) | (~always25(s259)) | always25(s260))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24111,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s259, s260)) | (~always25(s259)) | always25(s260))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24112,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s259, s260)) | (~always25(s259)) | always25(s260)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24111, 24110])).
% 6.59/5.26 tff(24113,plain,
% 6.59/5.26 ((~always25(s259)) | always25(s260)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24112, 23848, 20898])).
% 6.59/5.26 tff(24114,plain,
% 6.59/5.26 (~always25(s259)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24113, 24109])).
% 6.59/5.26 tff(24115,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s259) | (~node26(s259)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s259) | (~node26(s259)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24116,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s259) | (~node26(s259)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24117,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s259) | (~node26(s259))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24116, 24115])).
% 6.59/5.26 tff(24118,plain,
% 6.59/5.26 (~node26(s259)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24117, 15543, 24114])).
% 6.59/5.26 tff(24119,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s258, s259)) | (~always25(s258)) | always25(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s258, s259)) | (~always25(s258)) | always25(s259))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24120,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s258, s259)) | (~always25(s258)) | always25(s259))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24121,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s258, s259)) | (~always25(s258)) | always25(s259)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 6.59/5.26 tff(24122,plain,
% 6.59/5.26 ((~always25(s258)) | always25(s259)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24121, 23848, 20823])).
% 6.59/5.26 tff(24123,plain,
% 6.59/5.26 (~always25(s258)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24122, 24114])).
% 6.59/5.26 tff(24124,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s258) | (~node26(s258)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s258) | (~node26(s258)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24125,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s258) | (~node26(s258)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24126,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s258) | (~node26(s258))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24125, 24124])).
% 6.59/5.26 tff(24127,plain,
% 6.59/5.26 (~node26(s258)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24126, 15543, 24123])).
% 6.59/5.26 tff(24128,plain,
% 6.59/5.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s257, c_t2) | (~node26(s257)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s257, c_t2) | (~node26(s257)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24129,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s257, c_t2) | (~node26(s257)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24130,plain,
% 6.59/5.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s257, c_t2) | (~node26(s257))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 6.59/5.26 tff(24131,plain,
% 6.59/5.26 (~node26(s257)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24130, 23827, 20748])).
% 6.59/5.26 tff(24132,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s256)) | (~m_main_v_state2(s256, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s256)) | (~m_main_v_state2(s256, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24133,plain,
% 6.59/5.26 (((~m_main_v_state2(s256, c_c2)) | (~always25(s256))) <=> ((~always25(s256)) | (~m_main_v_state2(s256, c_c2)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24134,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s256, c_c2)) | (~always25(s256)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s256)) | (~m_main_v_state2(s256, c_c2))))),
% 6.59/5.26 inference(monotonicity,[status(thm)],[24133])).
% 6.59/5.26 tff(24135,plain,
% 6.59/5.26 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s256, c_c2)) | (~always25(s256)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s256)) | (~m_main_v_state2(s256, c_c2)))),
% 6.59/5.26 inference(transitivity,[status(thm)],[24134, 24132])).
% 6.59/5.26 tff(24136,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s256, c_c2)) | (~always25(s256)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24137,plain,
% 6.59/5.26 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s256)) | (~m_main_v_state2(s256, c_c2))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24136, 24135])).
% 6.59/5.26 tff(24138,plain,
% 6.59/5.26 (~always25(s256)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24137, 15526, 20612])).
% 6.59/5.26 tff(24139,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s255, s256)) | (~always25(s255)) | always25(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s255, s256)) | (~always25(s255)) | always25(s256))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24140,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s255, s256)) | (~always25(s255)) | always25(s256))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24141,plain,
% 6.59/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s255, s256)) | (~always25(s255)) | always25(s256)),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 6.59/5.26 tff(24142,plain,
% 6.59/5.26 ((~always25(s255)) | always25(s256)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24141, 23848, 20603])).
% 6.59/5.26 tff(24143,plain,
% 6.59/5.26 (~always25(s255)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24142, 24138])).
% 6.59/5.26 tff(24144,plain,
% 6.59/5.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s255) | (~node26(s255)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s255) | (~node26(s255)))),
% 6.59/5.26 inference(rewrite,[status(thm)],[])).
% 6.59/5.26 tff(24145,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s255) | (~node26(s255)))),
% 6.59/5.26 inference(quant_inst,[status(thm)],[])).
% 6.59/5.26 tff(24146,plain,
% 6.59/5.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s255) | (~node26(s255))),
% 6.59/5.26 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 6.59/5.26 tff(24147,plain,
% 6.59/5.26 (~node26(s255)),
% 6.59/5.26 inference(unit_resolution,[status(thm)],[24146, 15543, 24143])).
% 6.59/5.26 tff(24148,plain,
% 6.59/5.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s254, s255)) | (~always25(s254)) | always25(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s254, s255)) | (~always25(s254)) | always25(s255))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24149,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s254, s255)) | (~always25(s254)) | always25(s255))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24150,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s254, s255)) | (~always25(s254)) | always25(s255)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 6.59/5.27 tff(24151,plain,
% 6.59/5.27 ((~always25(s254)) | always25(s255)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24150, 23848, 20525])).
% 6.59/5.27 tff(24152,plain,
% 6.59/5.27 (~always25(s254)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24151, 24143])).
% 6.59/5.27 tff(24153,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s254) | (~node26(s254)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s254) | (~node26(s254)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24154,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s254) | (~node26(s254)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24155,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s254) | (~node26(s254))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 6.59/5.27 tff(24156,plain,
% 6.59/5.27 (~node26(s254)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24155, 15543, 24152])).
% 6.59/5.27 tff(24157,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s253, c_t2) | (~node26(s253)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s253, c_t2) | (~node26(s253)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24158,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s253, c_t2) | (~node26(s253)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24159,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s253, c_t2) | (~node26(s253))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 6.59/5.27 tff(24160,plain,
% 6.59/5.27 (~node26(s253)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24159, 23827, 20415])).
% 6.59/5.27 tff(24161,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s252)) | (~m_main_v_state2(s252, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s252)) | (~m_main_v_state2(s252, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24162,plain,
% 6.59/5.27 (((~m_main_v_state2(s252, c_c2)) | (~always25(s252))) <=> ((~always25(s252)) | (~m_main_v_state2(s252, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24163,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s252, c_c2)) | (~always25(s252)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s252)) | (~m_main_v_state2(s252, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24162])).
% 6.59/5.27 tff(24164,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s252, c_c2)) | (~always25(s252)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s252)) | (~m_main_v_state2(s252, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24163, 24161])).
% 6.59/5.27 tff(24165,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s252, c_c2)) | (~always25(s252)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24166,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s252)) | (~m_main_v_state2(s252, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 6.59/5.27 tff(24167,plain,
% 6.59/5.27 (~always25(s252)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24166, 15526, 20344])).
% 6.59/5.27 tff(24168,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s251, s252)) | (~always25(s251)) | always25(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s251, s252)) | (~always25(s251)) | always25(s252))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24169,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s251, s252)) | (~always25(s251)) | always25(s252))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24170,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s251, s252)) | (~always25(s251)) | always25(s252)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24169, 24168])).
% 6.59/5.27 tff(24171,plain,
% 6.59/5.27 ((~always25(s251)) | always25(s252)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24170, 23848, 20270])).
% 6.59/5.27 tff(24172,plain,
% 6.59/5.27 (~always25(s251)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24171, 24167])).
% 6.59/5.27 tff(24173,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s251) | (~node26(s251)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s251) | (~node26(s251)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24174,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s251) | (~node26(s251)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24175,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s251) | (~node26(s251))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 6.59/5.27 tff(24176,plain,
% 6.59/5.27 (~node26(s251)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24175, 15543, 24172])).
% 6.59/5.27 tff(24177,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s250, s251)) | (~always25(s250)) | always25(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s250, s251)) | (~always25(s250)) | always25(s251))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24178,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s250, s251)) | (~always25(s250)) | always25(s251))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24179,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s250, s251)) | (~always25(s250)) | always25(s251)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24178, 24177])).
% 6.59/5.27 tff(24180,plain,
% 6.59/5.27 ((~always25(s250)) | always25(s251)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24179, 23848, 20195])).
% 6.59/5.27 tff(24181,plain,
% 6.59/5.27 (~always25(s250)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24180, 24172])).
% 6.59/5.27 tff(24182,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s250) | (~node26(s250)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s250) | (~node26(s250)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24183,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s250) | (~node26(s250)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24184,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s250) | (~node26(s250))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 6.59/5.27 tff(24185,plain,
% 6.59/5.27 (~node26(s250)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24184, 15543, 24181])).
% 6.59/5.27 tff(24186,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s249, c_t2) | (~node26(s249)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s249, c_t2) | (~node26(s249)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24187,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s249, c_t2) | (~node26(s249)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24188,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s249, c_t2) | (~node26(s249))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24187, 24186])).
% 6.59/5.27 tff(24189,plain,
% 6.59/5.27 (~node26(s249)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24188, 23827, 20120])).
% 6.59/5.27 tff(24190,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s248)) | (~m_main_v_state2(s248, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s248)) | (~m_main_v_state2(s248, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24191,plain,
% 6.59/5.27 (((~m_main_v_state2(s248, c_c2)) | (~always25(s248))) <=> ((~always25(s248)) | (~m_main_v_state2(s248, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24192,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s248, c_c2)) | (~always25(s248)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s248)) | (~m_main_v_state2(s248, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24191])).
% 6.59/5.27 tff(24193,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s248, c_c2)) | (~always25(s248)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s248)) | (~m_main_v_state2(s248, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24192, 24190])).
% 6.59/5.27 tff(24194,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s248, c_c2)) | (~always25(s248)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24195,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s248)) | (~m_main_v_state2(s248, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 6.59/5.27 tff(24196,plain,
% 6.59/5.27 (~always25(s248)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24195, 15526, 19984])).
% 6.59/5.27 tff(24197,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s247, s248)) | (~always25(s247)) | always25(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s247, s248)) | (~always25(s247)) | always25(s248))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24198,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s247, s248)) | (~always25(s247)) | always25(s248))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24199,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s247, s248)) | (~always25(s247)) | always25(s248)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 6.59/5.27 tff(24200,plain,
% 6.59/5.27 ((~always25(s247)) | always25(s248)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24199, 23848, 19975])).
% 6.59/5.27 tff(24201,plain,
% 6.59/5.27 (~always25(s247)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24200, 24196])).
% 6.59/5.27 tff(24202,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s247) | (~node26(s247)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s247) | (~node26(s247)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24203,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s247) | (~node26(s247)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24204,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s247) | (~node26(s247))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 6.59/5.27 tff(24205,plain,
% 6.59/5.27 (~node26(s247)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24204, 15543, 24201])).
% 6.59/5.27 tff(24206,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s246, s247)) | (~always25(s246)) | always25(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s246, s247)) | (~always25(s246)) | always25(s247))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24207,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s246, s247)) | (~always25(s246)) | always25(s247))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24208,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s246, s247)) | (~always25(s246)) | always25(s247)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 6.59/5.27 tff(24209,plain,
% 6.59/5.27 ((~always25(s246)) | always25(s247)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24208, 23848, 19897])).
% 6.59/5.27 tff(24210,plain,
% 6.59/5.27 (~always25(s246)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24209, 24201])).
% 6.59/5.27 tff(24211,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s246) | (~node26(s246)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s246) | (~node26(s246)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24212,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s246) | (~node26(s246)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24213,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s246) | (~node26(s246))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 6.59/5.27 tff(24214,plain,
% 6.59/5.27 (~node26(s246)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24213, 15543, 24210])).
% 6.59/5.27 tff(24215,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s245, c_t2) | (~node26(s245)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s245, c_t2) | (~node26(s245)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24216,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s245, c_t2) | (~node26(s245)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24217,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s245, c_t2) | (~node26(s245))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 6.59/5.27 tff(24218,plain,
% 6.59/5.27 (~node26(s245)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24217, 23827, 19787])).
% 6.59/5.27 tff(24219,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s244)) | (~m_main_v_state2(s244, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s244)) | (~m_main_v_state2(s244, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24220,plain,
% 6.59/5.27 (((~m_main_v_state2(s244, c_c2)) | (~always25(s244))) <=> ((~always25(s244)) | (~m_main_v_state2(s244, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24221,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s244, c_c2)) | (~always25(s244)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s244)) | (~m_main_v_state2(s244, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24220])).
% 6.59/5.27 tff(24222,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s244, c_c2)) | (~always25(s244)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s244)) | (~m_main_v_state2(s244, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24221, 24219])).
% 6.59/5.27 tff(24223,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s244, c_c2)) | (~always25(s244)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24224,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s244)) | (~m_main_v_state2(s244, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24223, 24222])).
% 6.59/5.27 tff(24225,plain,
% 6.59/5.27 (~always25(s244)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24224, 15526, 19716])).
% 6.59/5.27 tff(24226,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s243, s244)) | (~always25(s243)) | always25(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s243, s244)) | (~always25(s243)) | always25(s244))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24227,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s243, s244)) | (~always25(s243)) | always25(s244))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24228,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s243, s244)) | (~always25(s243)) | always25(s244)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 6.59/5.27 tff(24229,plain,
% 6.59/5.27 ((~always25(s243)) | always25(s244)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24228, 23848, 19642])).
% 6.59/5.27 tff(24230,plain,
% 6.59/5.27 (~always25(s243)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24229, 24225])).
% 6.59/5.27 tff(24231,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s243) | (~node26(s243)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s243) | (~node26(s243)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24232,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s243) | (~node26(s243)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24233,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s243) | (~node26(s243))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24232, 24231])).
% 6.59/5.27 tff(24234,plain,
% 6.59/5.27 (~node26(s243)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24233, 15543, 24230])).
% 6.59/5.27 tff(24235,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s242, s243)) | (~always25(s242)) | always25(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s242, s243)) | (~always25(s242)) | always25(s243))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24236,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s242, s243)) | (~always25(s242)) | always25(s243))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24237,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s242, s243)) | (~always25(s242)) | always25(s243)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 6.59/5.27 tff(24238,plain,
% 6.59/5.27 ((~always25(s242)) | always25(s243)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24237, 23848, 19567])).
% 6.59/5.27 tff(24239,plain,
% 6.59/5.27 (~always25(s242)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24238, 24230])).
% 6.59/5.27 tff(24240,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s242) | (~node26(s242)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s242) | (~node26(s242)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24241,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s242) | (~node26(s242)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24242,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s242) | (~node26(s242))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24241, 24240])).
% 6.59/5.27 tff(24243,plain,
% 6.59/5.27 (~node26(s242)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24242, 15543, 24239])).
% 6.59/5.27 tff(24244,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s241, c_t2) | (~node26(s241)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s241, c_t2) | (~node26(s241)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24245,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s241, c_t2) | (~node26(s241)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24246,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s241, c_t2) | (~node26(s241))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 6.59/5.27 tff(24247,plain,
% 6.59/5.27 (~node26(s241)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24246, 23827, 19492])).
% 6.59/5.27 tff(24248,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s240)) | (~m_main_v_state2(s240, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s240)) | (~m_main_v_state2(s240, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24249,plain,
% 6.59/5.27 (((~m_main_v_state2(s240, c_c2)) | (~always25(s240))) <=> ((~always25(s240)) | (~m_main_v_state2(s240, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24250,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s240, c_c2)) | (~always25(s240)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s240)) | (~m_main_v_state2(s240, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24249])).
% 6.59/5.27 tff(24251,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s240, c_c2)) | (~always25(s240)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s240)) | (~m_main_v_state2(s240, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24250, 24248])).
% 6.59/5.27 tff(24252,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s240, c_c2)) | (~always25(s240)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24253,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s240)) | (~m_main_v_state2(s240, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24252, 24251])).
% 6.59/5.27 tff(24254,plain,
% 6.59/5.27 (~always25(s240)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24253, 15526, 19356])).
% 6.59/5.27 tff(24255,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s239, s240)) | (~always25(s239)) | always25(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s239, s240)) | (~always25(s239)) | always25(s240))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24256,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s239, s240)) | (~always25(s239)) | always25(s240))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24257,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s239, s240)) | (~always25(s239)) | always25(s240)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 6.59/5.27 tff(24258,plain,
% 6.59/5.27 ((~always25(s239)) | always25(s240)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24257, 23848, 19347])).
% 6.59/5.27 tff(24259,plain,
% 6.59/5.27 (~always25(s239)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24258, 24254])).
% 6.59/5.27 tff(24260,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s239) | (~node26(s239)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s239) | (~node26(s239)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24261,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s239) | (~node26(s239)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24262,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s239) | (~node26(s239))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 6.59/5.27 tff(24263,plain,
% 6.59/5.27 (~node26(s239)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24262, 15543, 24259])).
% 6.59/5.27 tff(24264,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s238, s239)) | (~always25(s238)) | always25(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s238, s239)) | (~always25(s238)) | always25(s239))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24265,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s238, s239)) | (~always25(s238)) | always25(s239))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24266,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s238, s239)) | (~always25(s238)) | always25(s239)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24265, 24264])).
% 6.59/5.27 tff(24267,plain,
% 6.59/5.27 ((~always25(s238)) | always25(s239)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24266, 23848, 19269])).
% 6.59/5.27 tff(24268,plain,
% 6.59/5.27 (~always25(s238)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24267, 24259])).
% 6.59/5.27 tff(24269,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s238) | (~node26(s238)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s238) | (~node26(s238)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24270,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s238) | (~node26(s238)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24271,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s238) | (~node26(s238))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 6.59/5.27 tff(24272,plain,
% 6.59/5.27 (~node26(s238)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24271, 15543, 24268])).
% 6.59/5.27 tff(24273,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s237, c_t2) | (~node26(s237)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s237, c_t2) | (~node26(s237)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24274,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s237, c_t2) | (~node26(s237)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24275,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s237, c_t2) | (~node26(s237))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 6.59/5.27 tff(24276,plain,
% 6.59/5.27 (~node26(s237)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24275, 23827, 19159])).
% 6.59/5.27 tff(24277,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s236)) | (~m_main_v_state2(s236, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s236)) | (~m_main_v_state2(s236, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24278,plain,
% 6.59/5.27 (((~m_main_v_state2(s236, c_c2)) | (~always25(s236))) <=> ((~always25(s236)) | (~m_main_v_state2(s236, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24279,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s236, c_c2)) | (~always25(s236)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s236)) | (~m_main_v_state2(s236, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24278])).
% 6.59/5.27 tff(24280,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s236, c_c2)) | (~always25(s236)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s236)) | (~m_main_v_state2(s236, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24279, 24277])).
% 6.59/5.27 tff(24281,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s236, c_c2)) | (~always25(s236)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24282,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s236)) | (~m_main_v_state2(s236, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 6.59/5.27 tff(24283,plain,
% 6.59/5.27 (~always25(s236)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24282, 15526, 19088])).
% 6.59/5.27 tff(24284,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s235, s236)) | (~always25(s235)) | always25(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s235, s236)) | (~always25(s235)) | always25(s236))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24285,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s235, s236)) | (~always25(s235)) | always25(s236))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24286,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s235, s236)) | (~always25(s235)) | always25(s236)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 6.59/5.27 tff(24287,plain,
% 6.59/5.27 ((~always25(s235)) | always25(s236)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24286, 23848, 19014])).
% 6.59/5.27 tff(24288,plain,
% 6.59/5.27 (~always25(s235)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24287, 24283])).
% 6.59/5.27 tff(24289,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s235) | (~node26(s235)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s235) | (~node26(s235)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24290,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s235) | (~node26(s235)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24291,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s235) | (~node26(s235))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 6.59/5.27 tff(24292,plain,
% 6.59/5.27 (~node26(s235)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24291, 15543, 24288])).
% 6.59/5.27 tff(24293,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s234, s235)) | (~always25(s234)) | always25(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s234, s235)) | (~always25(s234)) | always25(s235))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24294,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s234, s235)) | (~always25(s234)) | always25(s235))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24295,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s234, s235)) | (~always25(s234)) | always25(s235)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 6.59/5.27 tff(24296,plain,
% 6.59/5.27 ((~always25(s234)) | always25(s235)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24295, 23848, 18939])).
% 6.59/5.27 tff(24297,plain,
% 6.59/5.27 (~always25(s234)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24296, 24288])).
% 6.59/5.27 tff(24298,plain,
% 6.59/5.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s234) | (~node26(s234)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s234) | (~node26(s234)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24299,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s234) | (~node26(s234)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24300,plain,
% 6.59/5.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s234) | (~node26(s234))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 6.59/5.27 tff(24301,plain,
% 6.59/5.27 (~node26(s234)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24300, 15543, 24297])).
% 6.59/5.27 tff(24302,plain,
% 6.59/5.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s233, c_t2) | (~node26(s233)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s233, c_t2) | (~node26(s233)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24303,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s233, c_t2) | (~node26(s233)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24304,plain,
% 6.59/5.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s233, c_t2) | (~node26(s233))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 6.59/5.27 tff(24305,plain,
% 6.59/5.27 (~node26(s233)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24304, 23827, 18864])).
% 6.59/5.27 tff(24306,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s232)) | (~m_main_v_state2(s232, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s232)) | (~m_main_v_state2(s232, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24307,plain,
% 6.59/5.27 (((~m_main_v_state2(s232, c_c2)) | (~always25(s232))) <=> ((~always25(s232)) | (~m_main_v_state2(s232, c_c2)))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24308,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s232, c_c2)) | (~always25(s232)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s232)) | (~m_main_v_state2(s232, c_c2))))),
% 6.59/5.27 inference(monotonicity,[status(thm)],[24307])).
% 6.59/5.27 tff(24309,plain,
% 6.59/5.27 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s232, c_c2)) | (~always25(s232)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s232)) | (~m_main_v_state2(s232, c_c2)))),
% 6.59/5.27 inference(transitivity,[status(thm)],[24308, 24306])).
% 6.59/5.27 tff(24310,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s232, c_c2)) | (~always25(s232)))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24311,plain,
% 6.59/5.27 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s232)) | (~m_main_v_state2(s232, c_c2))),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24310, 24309])).
% 6.59/5.27 tff(24312,plain,
% 6.59/5.27 (~always25(s232)),
% 6.59/5.27 inference(unit_resolution,[status(thm)],[24311, 15526, 18728])).
% 6.59/5.27 tff(24313,plain,
% 6.59/5.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s231, s232)) | (~always25(s231)) | always25(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s231, s232)) | (~always25(s231)) | always25(s232))),
% 6.59/5.27 inference(rewrite,[status(thm)],[])).
% 6.59/5.27 tff(24314,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s231, s232)) | (~always25(s231)) | always25(s232))),
% 6.59/5.27 inference(quant_inst,[status(thm)],[])).
% 6.59/5.27 tff(24315,plain,
% 6.59/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s231, s232)) | (~always25(s231)) | always25(s232)),
% 6.59/5.27 inference(modus_ponens,[status(thm)],[24314, 24313])).
% 6.59/5.27 tff(24316,plain,
% 6.59/5.28 ((~always25(s231)) | always25(s232)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24315, 23848, 18719])).
% 6.59/5.28 tff(24317,plain,
% 6.59/5.28 (~always25(s231)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24316, 24312])).
% 6.59/5.28 tff(24318,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s231) | (~node26(s231)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s231) | (~node26(s231)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24319,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s231) | (~node26(s231)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24320,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s231) | (~node26(s231))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 6.59/5.28 tff(24321,plain,
% 6.59/5.28 (~node26(s231)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24320, 15543, 24317])).
% 6.59/5.28 tff(24322,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s230, s231)) | (~always25(s230)) | always25(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s230, s231)) | (~always25(s230)) | always25(s231))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24323,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s230, s231)) | (~always25(s230)) | always25(s231))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24324,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s230, s231)) | (~always25(s230)) | always25(s231)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 6.59/5.28 tff(24325,plain,
% 6.59/5.28 ((~always25(s230)) | always25(s231)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24324, 23848, 18641])).
% 6.59/5.28 tff(24326,plain,
% 6.59/5.28 (~always25(s230)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24325, 24317])).
% 6.59/5.28 tff(24327,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s230) | (~node26(s230)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s230) | (~node26(s230)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24328,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s230) | (~node26(s230)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24329,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s230) | (~node26(s230))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24328, 24327])).
% 6.59/5.28 tff(24330,plain,
% 6.59/5.28 (~node26(s230)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24329, 15543, 24326])).
% 6.59/5.28 tff(24331,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s229, c_t2) | (~node26(s229)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s229, c_t2) | (~node26(s229)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24332,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s229, c_t2) | (~node26(s229)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24333,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s229, c_t2) | (~node26(s229))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24332, 24331])).
% 6.59/5.28 tff(24334,plain,
% 6.59/5.28 (~node26(s229)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24333, 23827, 18531])).
% 6.59/5.28 tff(24335,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s228)) | (~m_main_v_state2(s228, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s228)) | (~m_main_v_state2(s228, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24336,plain,
% 6.59/5.28 (((~m_main_v_state2(s228, c_c2)) | (~always25(s228))) <=> ((~always25(s228)) | (~m_main_v_state2(s228, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24337,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s228, c_c2)) | (~always25(s228)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s228)) | (~m_main_v_state2(s228, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24336])).
% 6.59/5.28 tff(24338,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s228, c_c2)) | (~always25(s228)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s228)) | (~m_main_v_state2(s228, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24337, 24335])).
% 6.59/5.28 tff(24339,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s228, c_c2)) | (~always25(s228)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24340,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s228)) | (~m_main_v_state2(s228, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 6.59/5.28 tff(24341,plain,
% 6.59/5.28 (~always25(s228)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24340, 15526, 18460])).
% 6.59/5.28 tff(24342,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s227, s228)) | (~always25(s227)) | always25(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s227, s228)) | (~always25(s227)) | always25(s228))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24343,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s227, s228)) | (~always25(s227)) | always25(s228))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24344,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s227, s228)) | (~always25(s227)) | always25(s228)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24343, 24342])).
% 6.59/5.28 tff(24345,plain,
% 6.59/5.28 ((~always25(s227)) | always25(s228)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24344, 23848, 18386])).
% 6.59/5.28 tff(24346,plain,
% 6.59/5.28 (~always25(s227)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24345, 24341])).
% 6.59/5.28 tff(24347,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s227) | (~node26(s227)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s227) | (~node26(s227)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24348,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s227) | (~node26(s227)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24349,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s227) | (~node26(s227))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 6.59/5.28 tff(24350,plain,
% 6.59/5.28 (~node26(s227)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24349, 15543, 24346])).
% 6.59/5.28 tff(24351,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s226, s227)) | (~always25(s226)) | always25(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s226, s227)) | (~always25(s226)) | always25(s227))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24352,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s226, s227)) | (~always25(s226)) | always25(s227))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24353,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s226, s227)) | (~always25(s226)) | always25(s227)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 6.59/5.28 tff(24354,plain,
% 6.59/5.28 ((~always25(s226)) | always25(s227)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24353, 23848, 18311])).
% 6.59/5.28 tff(24355,plain,
% 6.59/5.28 (~always25(s226)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24354, 24346])).
% 6.59/5.28 tff(24356,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s226) | (~node26(s226)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s226) | (~node26(s226)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24357,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s226) | (~node26(s226)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24358,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s226) | (~node26(s226))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 6.59/5.28 tff(24359,plain,
% 6.59/5.28 (~node26(s226)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24358, 15543, 24355])).
% 6.59/5.28 tff(24360,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s225, c_t2) | (~node26(s225)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s225, c_t2) | (~node26(s225)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24361,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s225, c_t2) | (~node26(s225)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24362,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s225, c_t2) | (~node26(s225))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24361, 24360])).
% 6.59/5.28 tff(24363,plain,
% 6.59/5.28 (~node26(s225)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24362, 23827, 18236])).
% 6.59/5.28 tff(24364,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s224)) | (~m_main_v_state2(s224, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s224)) | (~m_main_v_state2(s224, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24365,plain,
% 6.59/5.28 (((~m_main_v_state2(s224, c_c2)) | (~always25(s224))) <=> ((~always25(s224)) | (~m_main_v_state2(s224, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24366,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s224, c_c2)) | (~always25(s224)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s224)) | (~m_main_v_state2(s224, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24365])).
% 6.59/5.28 tff(24367,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s224, c_c2)) | (~always25(s224)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s224)) | (~m_main_v_state2(s224, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24366, 24364])).
% 6.59/5.28 tff(24368,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s224, c_c2)) | (~always25(s224)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24369,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s224)) | (~m_main_v_state2(s224, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24368, 24367])).
% 6.59/5.28 tff(24370,plain,
% 6.59/5.28 (~always25(s224)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24369, 15526, 18100])).
% 6.59/5.28 tff(24371,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s223, s224)) | (~always25(s223)) | always25(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s223, s224)) | (~always25(s223)) | always25(s224))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24372,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s223, s224)) | (~always25(s223)) | always25(s224))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24373,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s223, s224)) | (~always25(s223)) | always25(s224)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 6.59/5.28 tff(24374,plain,
% 6.59/5.28 ((~always25(s223)) | always25(s224)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24373, 23848, 18091])).
% 6.59/5.28 tff(24375,plain,
% 6.59/5.28 (~always25(s223)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24374, 24370])).
% 6.59/5.28 tff(24376,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s223) | (~node26(s223)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s223) | (~node26(s223)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24377,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s223) | (~node26(s223)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24378,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s223) | (~node26(s223))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 6.59/5.28 tff(24379,plain,
% 6.59/5.28 (~node26(s223)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24378, 15543, 24375])).
% 6.59/5.28 tff(24380,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s222, s223)) | (~always25(s222)) | always25(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s222, s223)) | (~always25(s222)) | always25(s223))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24381,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s222, s223)) | (~always25(s222)) | always25(s223))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24382,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s222, s223)) | (~always25(s222)) | always25(s223)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 6.59/5.28 tff(24383,plain,
% 6.59/5.28 ((~always25(s222)) | always25(s223)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24382, 23848, 18013])).
% 6.59/5.28 tff(24384,plain,
% 6.59/5.28 (~always25(s222)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24383, 24375])).
% 6.59/5.28 tff(24385,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s222) | (~node26(s222)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s222) | (~node26(s222)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24386,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s222) | (~node26(s222)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24387,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s222) | (~node26(s222))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24386, 24385])).
% 6.59/5.28 tff(24388,plain,
% 6.59/5.28 (~node26(s222)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24387, 15543, 24384])).
% 6.59/5.28 tff(24389,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s221, c_t2) | (~node26(s221)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s221, c_t2) | (~node26(s221)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24390,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s221, c_t2) | (~node26(s221)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24391,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s221, c_t2) | (~node26(s221))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 6.59/5.28 tff(24392,plain,
% 6.59/5.28 (~node26(s221)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24391, 23827, 17903])).
% 6.59/5.28 tff(24393,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s220)) | (~m_main_v_state2(s220, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s220)) | (~m_main_v_state2(s220, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24394,plain,
% 6.59/5.28 (((~m_main_v_state2(s220, c_c2)) | (~always25(s220))) <=> ((~always25(s220)) | (~m_main_v_state2(s220, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24395,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s220, c_c2)) | (~always25(s220)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s220)) | (~m_main_v_state2(s220, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24394])).
% 6.59/5.28 tff(24396,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s220, c_c2)) | (~always25(s220)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s220)) | (~m_main_v_state2(s220, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24395, 24393])).
% 6.59/5.28 tff(24397,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s220, c_c2)) | (~always25(s220)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24398,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s220)) | (~m_main_v_state2(s220, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24397, 24396])).
% 6.59/5.28 tff(24399,plain,
% 6.59/5.28 (~always25(s220)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24398, 15526, 17832])).
% 6.59/5.28 tff(24400,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s219, s220)) | (~always25(s219)) | always25(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s219, s220)) | (~always25(s219)) | always25(s220))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24401,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s219, s220)) | (~always25(s219)) | always25(s220))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24402,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s219, s220)) | (~always25(s219)) | always25(s220)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24401, 24400])).
% 6.59/5.28 tff(24403,plain,
% 6.59/5.28 ((~always25(s219)) | always25(s220)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24402, 23848, 17758])).
% 6.59/5.28 tff(24404,plain,
% 6.59/5.28 (~always25(s219)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24403, 24399])).
% 6.59/5.28 tff(24405,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s219) | (~node26(s219)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s219) | (~node26(s219)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24406,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s219) | (~node26(s219)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24407,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s219) | (~node26(s219))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 6.59/5.28 tff(24408,plain,
% 6.59/5.28 (~node26(s219)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24407, 15543, 24404])).
% 6.59/5.28 tff(24409,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s218, s219)) | (~always25(s218)) | always25(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s218, s219)) | (~always25(s218)) | always25(s219))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24410,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s218, s219)) | (~always25(s218)) | always25(s219))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24411,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s218, s219)) | (~always25(s218)) | always25(s219)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 6.59/5.28 tff(24412,plain,
% 6.59/5.28 ((~always25(s218)) | always25(s219)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24411, 23848, 17683])).
% 6.59/5.28 tff(24413,plain,
% 6.59/5.28 (~always25(s218)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24412, 24404])).
% 6.59/5.28 tff(24414,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s218) | (~node26(s218)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s218) | (~node26(s218)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24415,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s218) | (~node26(s218)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24416,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s218) | (~node26(s218))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 6.59/5.28 tff(24417,plain,
% 6.59/5.28 (~node26(s218)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24416, 15543, 24413])).
% 6.59/5.28 tff(24418,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s217, c_t2) | (~node26(s217)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s217, c_t2) | (~node26(s217)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24419,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s217, c_t2) | (~node26(s217)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24420,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s217, c_t2) | (~node26(s217))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 6.59/5.28 tff(24421,plain,
% 6.59/5.28 (~node26(s217)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24420, 23827, 17608])).
% 6.59/5.28 tff(24422,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s216)) | (~m_main_v_state2(s216, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s216)) | (~m_main_v_state2(s216, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24423,plain,
% 6.59/5.28 (((~m_main_v_state2(s216, c_c2)) | (~always25(s216))) <=> ((~always25(s216)) | (~m_main_v_state2(s216, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24424,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s216, c_c2)) | (~always25(s216)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s216)) | (~m_main_v_state2(s216, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24423])).
% 6.59/5.28 tff(24425,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s216, c_c2)) | (~always25(s216)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s216)) | (~m_main_v_state2(s216, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24424, 24422])).
% 6.59/5.28 tff(24426,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s216, c_c2)) | (~always25(s216)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24427,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s216)) | (~m_main_v_state2(s216, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 6.59/5.28 tff(24428,plain,
% 6.59/5.28 (~always25(s216)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24427, 15526, 17472])).
% 6.59/5.28 tff(24429,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s215, s216)) | (~always25(s215)) | always25(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s215, s216)) | (~always25(s215)) | always25(s216))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24430,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s215, s216)) | (~always25(s215)) | always25(s216))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24431,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s215, s216)) | (~always25(s215)) | always25(s216)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 6.59/5.28 tff(24432,plain,
% 6.59/5.28 ((~always25(s215)) | always25(s216)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24431, 23848, 17463])).
% 6.59/5.28 tff(24433,plain,
% 6.59/5.28 (~always25(s215)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24432, 24428])).
% 6.59/5.28 tff(24434,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s215) | (~node26(s215)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s215) | (~node26(s215)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24435,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s215) | (~node26(s215)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24436,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s215) | (~node26(s215))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 6.59/5.28 tff(24437,plain,
% 6.59/5.28 (~node26(s215)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24436, 15543, 24433])).
% 6.59/5.28 tff(24438,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s214, s215)) | (~always25(s214)) | always25(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s214, s215)) | (~always25(s214)) | always25(s215))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24439,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s214, s215)) | (~always25(s214)) | always25(s215))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24440,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s214, s215)) | (~always25(s214)) | always25(s215)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 6.59/5.28 tff(24441,plain,
% 6.59/5.28 ((~always25(s214)) | always25(s215)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24440, 23848, 17385])).
% 6.59/5.28 tff(24442,plain,
% 6.59/5.28 (~always25(s214)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24441, 24433])).
% 6.59/5.28 tff(24443,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s214) | (~node26(s214)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s214) | (~node26(s214)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24444,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s214) | (~node26(s214)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24445,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s214) | (~node26(s214))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24444, 24443])).
% 6.59/5.28 tff(24446,plain,
% 6.59/5.28 (~node26(s214)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24445, 15543, 24442])).
% 6.59/5.28 tff(24447,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s213, c_t2) | (~node26(s213)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s213, c_t2) | (~node26(s213)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24448,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s213, c_t2) | (~node26(s213)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24449,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s213, c_t2) | (~node26(s213))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24448, 24447])).
% 6.59/5.28 tff(24450,plain,
% 6.59/5.28 (~node26(s213)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24449, 23827, 17275])).
% 6.59/5.28 tff(24451,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s212)) | (~m_main_v_state2(s212, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s212)) | (~m_main_v_state2(s212, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24452,plain,
% 6.59/5.28 (((~m_main_v_state2(s212, c_c2)) | (~always25(s212))) <=> ((~always25(s212)) | (~m_main_v_state2(s212, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24453,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s212, c_c2)) | (~always25(s212)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s212)) | (~m_main_v_state2(s212, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24452])).
% 6.59/5.28 tff(24454,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s212, c_c2)) | (~always25(s212)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s212)) | (~m_main_v_state2(s212, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24453, 24451])).
% 6.59/5.28 tff(24455,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s212, c_c2)) | (~always25(s212)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24456,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s212)) | (~m_main_v_state2(s212, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 6.59/5.28 tff(24457,plain,
% 6.59/5.28 (~always25(s212)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24456, 15526, 17204])).
% 6.59/5.28 tff(24458,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s211, s212)) | (~always25(s211)) | always25(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s211, s212)) | (~always25(s211)) | always25(s212))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24459,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s211, s212)) | (~always25(s211)) | always25(s212))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24460,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s211, s212)) | (~always25(s211)) | always25(s212)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 6.59/5.28 tff(24461,plain,
% 6.59/5.28 ((~always25(s211)) | always25(s212)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24460, 23848, 17130])).
% 6.59/5.28 tff(24462,plain,
% 6.59/5.28 (~always25(s211)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24461, 24457])).
% 6.59/5.28 tff(24463,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s211) | (~node26(s211)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s211) | (~node26(s211)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24464,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s211) | (~node26(s211)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24465,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s211) | (~node26(s211))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 6.59/5.28 tff(24466,plain,
% 6.59/5.28 (~node26(s211)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24465, 15543, 24462])).
% 6.59/5.28 tff(24467,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s210, s211)) | (~always25(s210)) | always25(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s210, s211)) | (~always25(s210)) | always25(s211))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24468,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s210, s211)) | (~always25(s210)) | always25(s211))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24469,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s210, s211)) | (~always25(s210)) | always25(s211)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24468, 24467])).
% 6.59/5.28 tff(24470,plain,
% 6.59/5.28 ((~always25(s210)) | always25(s211)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24469, 23848, 17055])).
% 6.59/5.28 tff(24471,plain,
% 6.59/5.28 (~always25(s210)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24470, 24462])).
% 6.59/5.28 tff(24472,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s210) | (~node26(s210)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s210) | (~node26(s210)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24473,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s210) | (~node26(s210)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24474,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s210) | (~node26(s210))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 6.59/5.28 tff(24475,plain,
% 6.59/5.28 (~node26(s210)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24474, 15543, 24471])).
% 6.59/5.28 tff(24476,plain,
% 6.59/5.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s209, c_t2) | (~node26(s209)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s209, c_t2) | (~node26(s209)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24477,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s209, c_t2) | (~node26(s209)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24478,plain,
% 6.59/5.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s209, c_t2) | (~node26(s209))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 6.59/5.28 tff(24479,plain,
% 6.59/5.28 (~node26(s209)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24478, 23827, 16980])).
% 6.59/5.28 tff(24480,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s208)) | (~m_main_v_state2(s208, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s208)) | (~m_main_v_state2(s208, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24481,plain,
% 6.59/5.28 (((~m_main_v_state2(s208, c_c2)) | (~always25(s208))) <=> ((~always25(s208)) | (~m_main_v_state2(s208, c_c2)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24482,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s208, c_c2)) | (~always25(s208)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s208)) | (~m_main_v_state2(s208, c_c2))))),
% 6.59/5.28 inference(monotonicity,[status(thm)],[24481])).
% 6.59/5.28 tff(24483,plain,
% 6.59/5.28 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s208, c_c2)) | (~always25(s208)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s208)) | (~m_main_v_state2(s208, c_c2)))),
% 6.59/5.28 inference(transitivity,[status(thm)],[24482, 24480])).
% 6.59/5.28 tff(24484,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s208, c_c2)) | (~always25(s208)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24485,plain,
% 6.59/5.28 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s208)) | (~m_main_v_state2(s208, c_c2))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 6.59/5.28 tff(24486,plain,
% 6.59/5.28 (~always25(s208)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24485, 15526, 16844])).
% 6.59/5.28 tff(24487,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s207, s208)) | (~always25(s207)) | always25(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s207, s208)) | (~always25(s207)) | always25(s208))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24488,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s207, s208)) | (~always25(s207)) | always25(s208))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24489,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s207, s208)) | (~always25(s207)) | always25(s208)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 6.59/5.28 tff(24490,plain,
% 6.59/5.28 ((~always25(s207)) | always25(s208)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24489, 23848, 16835])).
% 6.59/5.28 tff(24491,plain,
% 6.59/5.28 (~always25(s207)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24490, 24486])).
% 6.59/5.28 tff(24492,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s207) | (~node26(s207)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s207) | (~node26(s207)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24493,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s207) | (~node26(s207)))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24494,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s207) | (~node26(s207))),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24493, 24492])).
% 6.59/5.28 tff(24495,plain,
% 6.59/5.28 (~node26(s207)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24494, 15543, 24491])).
% 6.59/5.28 tff(24496,plain,
% 6.59/5.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s206, s207)) | (~always25(s206)) | always25(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s206, s207)) | (~always25(s206)) | always25(s207))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24497,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s206, s207)) | (~always25(s206)) | always25(s207))),
% 6.59/5.28 inference(quant_inst,[status(thm)],[])).
% 6.59/5.28 tff(24498,plain,
% 6.59/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s206, s207)) | (~always25(s206)) | always25(s207)),
% 6.59/5.28 inference(modus_ponens,[status(thm)],[24497, 24496])).
% 6.59/5.28 tff(24499,plain,
% 6.59/5.28 ((~always25(s206)) | always25(s207)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24498, 23848, 16757])).
% 6.59/5.28 tff(24500,plain,
% 6.59/5.28 (~always25(s206)),
% 6.59/5.28 inference(unit_resolution,[status(thm)],[24499, 24491])).
% 6.59/5.28 tff(24501,plain,
% 6.59/5.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s206) | (~node26(s206)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s206) | (~node26(s206)))),
% 6.59/5.28 inference(rewrite,[status(thm)],[])).
% 6.59/5.28 tff(24502,plain,
% 6.59/5.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s206) | (~node26(s206)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24503,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s206) | (~node26(s206))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 6.59/5.29 tff(24504,plain,
% 6.59/5.29 (~node26(s206)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24503, 15543, 24500])).
% 6.59/5.29 tff(24505,plain,
% 6.59/5.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s205, c_t2) | (~node26(s205)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s205, c_t2) | (~node26(s205)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24506,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s205, c_t2) | (~node26(s205)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24507,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s205, c_t2) | (~node26(s205))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24506, 24505])).
% 6.59/5.29 tff(24508,plain,
% 6.59/5.29 (~node26(s205)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24507, 23827, 16647])).
% 6.59/5.29 tff(24509,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24510,plain,
% 6.59/5.29 (((~m_main_v_state2(s204, c_c2)) | (~always25(s204))) <=> ((~always25(s204)) | (~m_main_v_state2(s204, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24511,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.29 inference(monotonicity,[status(thm)],[24510])).
% 6.59/5.29 tff(24512,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(transitivity,[status(thm)],[24511, 24509])).
% 6.59/5.29 tff(24513,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s204, c_c2)) | (~always25(s204)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24514,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s204)) | (~m_main_v_state2(s204, c_c2))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 6.59/5.29 tff(24515,plain,
% 6.59/5.29 (~always25(s204)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24514, 15526, 16576])).
% 6.59/5.29 tff(24516,plain,
% 6.59/5.29 (((~![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))) | (~trans(s203, s204)) | (~always25(s203)) | always25(s204))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24517,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s203, s204)) | (~always25(s203)) | always25(s204))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24518,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s203, s204)) | (~always25(s203)) | always25(s204)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24517, 24516])).
% 6.59/5.29 tff(24519,plain,
% 6.59/5.29 ((~always25(s203)) | always25(s204)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24518, 23848, 16502])).
% 6.59/5.29 tff(24520,plain,
% 6.59/5.29 (~always25(s203)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24519, 24515])).
% 6.59/5.29 tff(24521,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s203) | (~node26(s203)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s203) | (~node26(s203)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24522,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s203) | (~node26(s203)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24523,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s203) | (~node26(s203))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24522, 24521])).
% 6.59/5.29 tff(24524,plain,
% 6.59/5.29 (~node26(s203)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24523, 15543, 24520])).
% 6.59/5.29 tff(24525,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24526,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s202, s203)) | (~always25(s202)) | always25(s203))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24527,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s202, s203)) | (~always25(s202)) | always25(s203)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24526, 24525])).
% 6.59/5.29 tff(24528,plain,
% 6.59/5.29 ((~always25(s202)) | always25(s203)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24527, 23848, 16427])).
% 6.59/5.29 tff(24529,plain,
% 6.59/5.29 (~always25(s202)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24528, 24520])).
% 6.59/5.29 tff(24530,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s202) | (~node26(s202)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s202) | (~node26(s202)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24531,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s202) | (~node26(s202)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24532,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s202) | (~node26(s202))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24531, 24530])).
% 6.59/5.29 tff(24533,plain,
% 6.59/5.29 (~node26(s202)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24532, 15543, 24529])).
% 6.59/5.29 tff(24534,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24535,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s201, c_t2) | (~node26(s201)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24536,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s201, c_t2) | (~node26(s201))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24535, 24534])).
% 6.59/5.29 tff(24537,plain,
% 6.59/5.29 (~node26(s201)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24536, 23827, 16352])).
% 6.59/5.29 tff(24538,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24539,plain,
% 6.59/5.29 (((~m_main_v_state2(s200, c_c2)) | (~always25(s200))) <=> ((~always25(s200)) | (~m_main_v_state2(s200, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24540,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.29 inference(monotonicity,[status(thm)],[24539])).
% 6.59/5.29 tff(24541,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(transitivity,[status(thm)],[24540, 24538])).
% 6.59/5.29 tff(24542,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s200, c_c2)) | (~always25(s200)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24543,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s200)) | (~m_main_v_state2(s200, c_c2))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 6.59/5.29 tff(24544,plain,
% 6.59/5.29 (~always25(s200)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24543, 15526, 16216])).
% 6.59/5.29 tff(24545,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24546,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s200)) | (~always25(s199)) | always25(s200))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24547,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s199, s200)) | (~always25(s199)) | always25(s200)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 6.59/5.29 tff(24548,plain,
% 6.59/5.29 ((~always25(s199)) | always25(s200)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24547, 23848, 16207])).
% 6.59/5.29 tff(24549,plain,
% 6.59/5.29 (~always25(s199)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24548, 24544])).
% 6.59/5.29 tff(24550,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24551,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24552,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24551, 24550])).
% 6.59/5.29 tff(24553,plain,
% 6.59/5.29 (~node26(s199)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24552, 15543, 24549])).
% 6.59/5.29 tff(24554,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24555,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24556,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s198, s199)) | (~always25(s198)) | always25(s199)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 6.59/5.29 tff(24557,plain,
% 6.59/5.29 ((~always25(s198)) | always25(s199)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24556, 23848, 16129])).
% 6.59/5.29 tff(24558,plain,
% 6.59/5.29 (~always25(s198)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24557, 24549])).
% 6.59/5.29 tff(24559,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24560,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24561,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 6.59/5.29 tff(24562,plain,
% 6.59/5.29 (~node26(s198)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24561, 15543, 24558])).
% 6.59/5.29 tff(24563,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24564,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s197, c_t2) | (~node26(s197)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24565,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s197, c_t2) | (~node26(s197))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 6.59/5.29 tff(24566,plain,
% 6.59/5.29 (~node26(s197)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24565, 23827, 16019])).
% 6.59/5.29 tff(24567,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24568,plain,
% 6.59/5.29 (((~m_main_v_state2(s196, c_c2)) | (~always25(s196))) <=> ((~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24569,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.29 inference(monotonicity,[status(thm)],[24568])).
% 6.59/5.29 tff(24570,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(transitivity,[status(thm)],[24569, 24567])).
% 6.59/5.29 tff(24571,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24572,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 6.59/5.29 tff(24573,plain,
% 6.59/5.29 (~always25(s196)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24572, 15526, 15948])).
% 6.59/5.29 tff(24574,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24575,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s195, s196)) | (~always25(s195)) | always25(s196))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24576,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s195, s196)) | (~always25(s195)) | always25(s196)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 6.59/5.29 tff(24577,plain,
% 6.59/5.29 ((~always25(s195)) | always25(s196)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24576, 23848, 15874])).
% 6.59/5.29 tff(24578,plain,
% 6.59/5.29 (~always25(s195)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24577, 24573])).
% 6.59/5.29 tff(24579,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24580,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24581,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24580, 24579])).
% 6.59/5.29 tff(24582,plain,
% 6.59/5.29 (~node26(s195)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24581, 15543, 24578])).
% 6.59/5.29 tff(24583,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24584,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s194, s195)) | (~always25(s194)) | always25(s195))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24585,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s194, s195)) | (~always25(s194)) | always25(s195)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24584, 24583])).
% 6.59/5.29 tff(24586,plain,
% 6.59/5.29 ((~always25(s194)) | always25(s195)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24585, 23848, 15799])).
% 6.59/5.29 tff(24587,plain,
% 6.59/5.29 (~always25(s194)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24586, 24578])).
% 6.59/5.29 tff(24588,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24589,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24590,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24589, 24588])).
% 6.59/5.29 tff(24591,plain,
% 6.59/5.29 (~node26(s194)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24590, 15543, 24587])).
% 6.59/5.29 tff(24592,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24593,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s193, c_t2) | (~node26(s193)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24594,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s193, c_t2) | (~node26(s193))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24593, 24592])).
% 6.59/5.29 tff(24595,plain,
% 6.59/5.29 (~node26(s193)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24594, 23827, 15724])).
% 6.59/5.29 tff(24596,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24597,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s191, s192)) | (~always25(s191)) | always25(s192))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24598,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s191, s192)) | (~always25(s191)) | always25(s192)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 6.59/5.29 tff(24599,plain,
% 6.59/5.29 ((~always25(s191)) | always25(s192)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24598, 23848, 15510])).
% 6.59/5.29 tff(24600,plain,
% 6.59/5.29 (~always25(s191)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24599, 15533])).
% 6.59/5.29 tff(24601,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24602,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24603,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24602, 24601])).
% 6.59/5.29 tff(24604,plain,
% 6.59/5.29 (~node26(s191)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24603, 15543, 24600])).
% 6.59/5.29 tff(24605,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24606,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s190, s191)) | (~always25(s190)) | always25(s191))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24607,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s190, s191)) | (~always25(s190)) | always25(s191)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 6.59/5.29 tff(24608,plain,
% 6.59/5.29 ((~always25(s190)) | always25(s191)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24607, 23848, 15432])).
% 6.59/5.29 tff(24609,plain,
% 6.59/5.29 (~always25(s190)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24608, 24600])).
% 6.59/5.29 tff(24610,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24611,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24612,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24611, 24610])).
% 6.59/5.29 tff(24613,plain,
% 6.59/5.29 (~node26(s190)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24612, 15543, 24609])).
% 6.59/5.29 tff(24614,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24615,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s189, c_t2) | (~node26(s189)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24616,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s189, c_t2) | (~node26(s189))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24615, 24614])).
% 6.59/5.29 tff(24617,plain,
% 6.59/5.29 (~node26(s189)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24616, 23827, 15322])).
% 6.59/5.29 tff(24618,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24619,plain,
% 6.59/5.29 (((~m_main_v_state2(s188, c_c2)) | (~always25(s188))) <=> ((~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24620,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.29 inference(monotonicity,[status(thm)],[24619])).
% 6.59/5.29 tff(24621,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(transitivity,[status(thm)],[24620, 24618])).
% 6.59/5.29 tff(24622,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24623,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 6.59/5.29 tff(24624,plain,
% 6.59/5.29 (~always25(s188)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24623, 15526, 15251])).
% 6.59/5.29 tff(24625,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24626,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s187, s188)) | (~always25(s187)) | always25(s188))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24627,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s187, s188)) | (~always25(s187)) | always25(s188)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 6.59/5.29 tff(24628,plain,
% 6.59/5.29 ((~always25(s187)) | always25(s188)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24627, 23848, 15177])).
% 6.59/5.29 tff(24629,plain,
% 6.59/5.29 (~always25(s187)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24628, 24624])).
% 6.59/5.29 tff(24630,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24631,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24632,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 6.59/5.29 tff(24633,plain,
% 6.59/5.29 (~node26(s187)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24632, 15543, 24629])).
% 6.59/5.29 tff(24634,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24635,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s186, s187)) | (~always25(s186)) | always25(s187))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24636,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s186, s187)) | (~always25(s186)) | always25(s187)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 6.59/5.29 tff(24637,plain,
% 6.59/5.29 ((~always25(s186)) | always25(s187)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24636, 23848, 15102])).
% 6.59/5.29 tff(24638,plain,
% 6.59/5.29 (~always25(s186)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24637, 24629])).
% 6.59/5.29 tff(24639,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24640,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24641,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 6.59/5.29 tff(24642,plain,
% 6.59/5.29 (~node26(s186)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24641, 15543, 24638])).
% 6.59/5.29 tff(24643,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24644,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s185, c_t2) | (~node26(s185)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24645,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s185, c_t2) | (~node26(s185))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 6.59/5.29 tff(24646,plain,
% 6.59/5.29 (~node26(s185)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24645, 23827, 15027])).
% 6.59/5.29 tff(24647,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24648,plain,
% 6.59/5.29 (((~m_main_v_state2(s184, c_c2)) | (~always25(s184))) <=> ((~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24649,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.29 inference(monotonicity,[status(thm)],[24648])).
% 6.59/5.29 tff(24650,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(transitivity,[status(thm)],[24649, 24647])).
% 6.59/5.29 tff(24651,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24652,plain,
% 6.59/5.29 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 6.59/5.29 tff(24653,plain,
% 6.59/5.29 (~always25(s184)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24652, 15526, 14891])).
% 6.59/5.29 tff(24654,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24655,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s183, s184)) | (~always25(s183)) | always25(s184))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24656,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s183, s184)) | (~always25(s183)) | always25(s184)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24655, 24654])).
% 6.59/5.29 tff(24657,plain,
% 6.59/5.29 ((~always25(s183)) | always25(s184)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24656, 23848, 14882])).
% 6.59/5.29 tff(24658,plain,
% 6.59/5.29 (~always25(s183)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24657, 24653])).
% 6.59/5.29 tff(24659,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24660,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24661,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 6.59/5.29 tff(24662,plain,
% 6.59/5.29 (~node26(s183)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24661, 15543, 24658])).
% 6.59/5.29 tff(24663,plain,
% 6.59/5.29 (((~![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))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24664,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s182, s183)) | (~always25(s182)) | always25(s183))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24665,plain,
% 6.59/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s182, s183)) | (~always25(s182)) | always25(s183)),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 6.59/5.29 tff(24666,plain,
% 6.59/5.29 ((~always25(s182)) | always25(s183)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24665, 23848, 14804])).
% 6.59/5.29 tff(24667,plain,
% 6.59/5.29 (~always25(s182)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24666, 24658])).
% 6.59/5.29 tff(24668,plain,
% 6.59/5.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24669,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24670,plain,
% 6.59/5.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24669, 24668])).
% 6.59/5.29 tff(24671,plain,
% 6.59/5.29 (~node26(s182)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24670, 15543, 24667])).
% 6.59/5.29 tff(24672,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24673,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s181, c_t2) | (~node26(s181)))),
% 6.59/5.29 inference(quant_inst,[status(thm)],[])).
% 6.59/5.29 tff(24674,plain,
% 6.59/5.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s181, c_t2) | (~node26(s181))),
% 6.59/5.29 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 6.59/5.29 tff(24675,plain,
% 6.59/5.29 (~node26(s181)),
% 6.59/5.29 inference(unit_resolution,[status(thm)],[24674, 23827, 14694])).
% 6.59/5.29 tff(24676,plain,
% 6.59/5.29 (((~![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)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24677,plain,
% 6.59/5.29 (((~m_main_v_state2(s180, c_c2)) | (~always25(s180))) <=> ((~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 6.59/5.29 inference(rewrite,[status(thm)],[])).
% 6.59/5.29 tff(24678,plain,
% 6.59/5.29 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24677])).
% 6.59/5.30 tff(24679,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24678, 24676])).
% 6.59/5.30 tff(24680,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24681,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 6.59/5.30 tff(24682,plain,
% 6.59/5.30 (~always25(s180)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24681, 15526, 14623])).
% 6.59/5.30 tff(24683,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24684,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s179, s180)) | (~always25(s179)) | always25(s180))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24685,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s179, s180)) | (~always25(s179)) | always25(s180)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24684, 24683])).
% 6.59/5.30 tff(24686,plain,
% 6.59/5.30 ((~always25(s179)) | always25(s180)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24685, 23848, 14549])).
% 6.59/5.30 tff(24687,plain,
% 6.59/5.30 (~always25(s179)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24686, 24682])).
% 6.59/5.30 tff(24688,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24689,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24690,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24689, 24688])).
% 6.59/5.30 tff(24691,plain,
% 6.59/5.30 (~node26(s179)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24690, 15543, 24687])).
% 6.59/5.30 tff(24692,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24693,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s178, s179)) | (~always25(s178)) | always25(s179))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24694,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s178, s179)) | (~always25(s178)) | always25(s179)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24693, 24692])).
% 6.59/5.30 tff(24695,plain,
% 6.59/5.30 ((~always25(s178)) | always25(s179)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24694, 23848, 14474])).
% 6.59/5.30 tff(24696,plain,
% 6.59/5.30 (~always25(s178)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24695, 24687])).
% 6.59/5.30 tff(24697,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24698,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24699,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 6.59/5.30 tff(24700,plain,
% 6.59/5.30 (~node26(s178)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24699, 15543, 24696])).
% 6.59/5.30 tff(24701,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24702,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s177, c_t2) | (~node26(s177)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24703,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s177, c_t2) | (~node26(s177))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 6.59/5.30 tff(24704,plain,
% 6.59/5.30 (~node26(s177)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24703, 23827, 14399])).
% 6.59/5.30 tff(24705,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24706,plain,
% 6.59/5.30 (((~m_main_v_state2(s176, c_c2)) | (~always25(s176))) <=> ((~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24707,plain,
% 6.59/5.30 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24706])).
% 6.59/5.30 tff(24708,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24707, 24705])).
% 6.59/5.30 tff(24709,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24710,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24709, 24708])).
% 6.59/5.30 tff(24711,plain,
% 6.59/5.30 (~always25(s176)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24710, 15526, 14263])).
% 6.59/5.30 tff(24712,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24713,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s175, s176)) | (~always25(s175)) | always25(s176))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24714,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s175, s176)) | (~always25(s175)) | always25(s176)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24713, 24712])).
% 6.59/5.30 tff(24715,plain,
% 6.59/5.30 ((~always25(s175)) | always25(s176)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24714, 23848, 14254])).
% 6.59/5.30 tff(24716,plain,
% 6.59/5.30 (~always25(s175)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24715, 24711])).
% 6.59/5.30 tff(24717,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24718,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24719,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24718, 24717])).
% 6.59/5.30 tff(24720,plain,
% 6.59/5.30 (~node26(s175)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24719, 15543, 24716])).
% 6.59/5.30 tff(24721,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24722,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s174, s175)) | (~always25(s174)) | always25(s175))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24723,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s174, s175)) | (~always25(s174)) | always25(s175)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24722, 24721])).
% 6.59/5.30 tff(24724,plain,
% 6.59/5.30 ((~always25(s174)) | always25(s175)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24723, 23848, 14176])).
% 6.59/5.30 tff(24725,plain,
% 6.59/5.30 (~always25(s174)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24724, 24716])).
% 6.59/5.30 tff(24726,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24727,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24728,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24727, 24726])).
% 6.59/5.30 tff(24729,plain,
% 6.59/5.30 (~node26(s174)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24728, 15543, 24725])).
% 6.59/5.30 tff(24730,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24731,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s173, c_t2) | (~node26(s173)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24732,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s173, c_t2) | (~node26(s173))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24731, 24730])).
% 6.59/5.30 tff(24733,plain,
% 6.59/5.30 (~node26(s173)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24732, 23827, 14066])).
% 6.59/5.30 tff(24734,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24735,plain,
% 6.59/5.30 (((~m_main_v_state2(s172, c_c2)) | (~always25(s172))) <=> ((~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24736,plain,
% 6.59/5.30 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24735])).
% 6.59/5.30 tff(24737,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24736, 24734])).
% 6.59/5.30 tff(24738,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24739,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 6.59/5.30 tff(24740,plain,
% 6.59/5.30 (~always25(s172)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24739, 15526, 13995])).
% 6.59/5.30 tff(24741,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24742,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s171, s172)) | (~always25(s171)) | always25(s172))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24743,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s171, s172)) | (~always25(s171)) | always25(s172)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 6.59/5.30 tff(24744,plain,
% 6.59/5.30 ((~always25(s171)) | always25(s172)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24743, 23848, 13921])).
% 6.59/5.30 tff(24745,plain,
% 6.59/5.30 (~always25(s171)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24744, 24740])).
% 6.59/5.30 tff(24746,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24747,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24748,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 6.59/5.30 tff(24749,plain,
% 6.59/5.30 (~node26(s171)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24748, 15543, 24745])).
% 6.59/5.30 tff(24750,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24751,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s170, s171)) | (~always25(s170)) | always25(s171))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24752,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s170, s171)) | (~always25(s170)) | always25(s171)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 6.59/5.30 tff(24753,plain,
% 6.59/5.30 ((~always25(s170)) | always25(s171)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24752, 23848, 13846])).
% 6.59/5.30 tff(24754,plain,
% 6.59/5.30 (~always25(s170)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24753, 24745])).
% 6.59/5.30 tff(24755,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24756,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24757,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 6.59/5.30 tff(24758,plain,
% 6.59/5.30 (~node26(s170)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24757, 15543, 24754])).
% 6.59/5.30 tff(24759,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24760,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s169, c_t2) | (~node26(s169)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24761,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s169, c_t2) | (~node26(s169))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 6.59/5.30 tff(24762,plain,
% 6.59/5.30 (~node26(s169)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24761, 23827, 13771])).
% 6.59/5.30 tff(24763,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24764,plain,
% 6.59/5.30 (((~m_main_v_state2(s168, c_c2)) | (~always25(s168))) <=> ((~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24765,plain,
% 6.59/5.30 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24764])).
% 6.59/5.30 tff(24766,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24765, 24763])).
% 6.59/5.30 tff(24767,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24768,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 6.59/5.30 tff(24769,plain,
% 6.59/5.30 (~always25(s168)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24768, 15526, 13635])).
% 6.59/5.30 tff(24770,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24771,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s167, s168)) | (~always25(s167)) | always25(s168))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24772,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s167, s168)) | (~always25(s167)) | always25(s168)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 6.59/5.30 tff(24773,plain,
% 6.59/5.30 ((~always25(s167)) | always25(s168)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24772, 23848, 13626])).
% 6.59/5.30 tff(24774,plain,
% 6.59/5.30 (~always25(s167)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24773, 24769])).
% 6.59/5.30 tff(24775,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24776,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24777,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24776, 24775])).
% 6.59/5.30 tff(24778,plain,
% 6.59/5.30 (~node26(s167)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24777, 15543, 24774])).
% 6.59/5.30 tff(24779,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24780,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s166, s167)) | (~always25(s166)) | always25(s167))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24781,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s166, s167)) | (~always25(s166)) | always25(s167)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24780, 24779])).
% 6.59/5.30 tff(24782,plain,
% 6.59/5.30 ((~always25(s166)) | always25(s167)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24781, 23848, 13548])).
% 6.59/5.30 tff(24783,plain,
% 6.59/5.30 (~always25(s166)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24782, 24774])).
% 6.59/5.30 tff(24784,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24785,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24786,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24785, 24784])).
% 6.59/5.30 tff(24787,plain,
% 6.59/5.30 (~node26(s166)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24786, 15543, 24783])).
% 6.59/5.30 tff(24788,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24789,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s165, c_t2) | (~node26(s165)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24790,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s165, c_t2) | (~node26(s165))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24789, 24788])).
% 6.59/5.30 tff(24791,plain,
% 6.59/5.30 (~node26(s165)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24790, 23827, 13438])).
% 6.59/5.30 tff(24792,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24793,plain,
% 6.59/5.30 (((~m_main_v_state2(s164, c_c2)) | (~always25(s164))) <=> ((~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24794,plain,
% 6.59/5.30 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24793])).
% 6.59/5.30 tff(24795,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24794, 24792])).
% 6.59/5.30 tff(24796,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24797,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 6.59/5.30 tff(24798,plain,
% 6.59/5.30 (~always25(s164)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24797, 15526, 13367])).
% 6.59/5.30 tff(24799,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24800,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s163, s164)) | (~always25(s163)) | always25(s164))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24801,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s163, s164)) | (~always25(s163)) | always25(s164)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 6.59/5.30 tff(24802,plain,
% 6.59/5.30 ((~always25(s163)) | always25(s164)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24801, 23848, 13293])).
% 6.59/5.30 tff(24803,plain,
% 6.59/5.30 (~always25(s163)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24802, 24798])).
% 6.59/5.30 tff(24804,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24805,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24806,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 6.59/5.30 tff(24807,plain,
% 6.59/5.30 (~node26(s163)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24806, 15543, 24803])).
% 6.59/5.30 tff(24808,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24809,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s162, s163)) | (~always25(s162)) | always25(s163))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24810,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s162, s163)) | (~always25(s162)) | always25(s163)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 6.59/5.30 tff(24811,plain,
% 6.59/5.30 ((~always25(s162)) | always25(s163)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24810, 23848, 13218])).
% 6.59/5.30 tff(24812,plain,
% 6.59/5.30 (~always25(s162)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24811, 24803])).
% 6.59/5.30 tff(24813,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24814,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24815,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24814, 24813])).
% 6.59/5.30 tff(24816,plain,
% 6.59/5.30 (~node26(s162)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24815, 15543, 24812])).
% 6.59/5.30 tff(24817,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24818,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s161, c_t2) | (~node26(s161)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24819,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s161, c_t2) | (~node26(s161))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 6.59/5.30 tff(24820,plain,
% 6.59/5.30 (~node26(s161)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24819, 23827, 13143])).
% 6.59/5.30 tff(24821,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24822,plain,
% 6.59/5.30 (((~m_main_v_state2(s160, c_c2)) | (~always25(s160))) <=> ((~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24823,plain,
% 6.59/5.30 (((~![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))))),
% 6.59/5.30 inference(monotonicity,[status(thm)],[24822])).
% 6.59/5.30 tff(24824,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(transitivity,[status(thm)],[24823, 24821])).
% 6.59/5.30 tff(24825,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24826,plain,
% 6.59/5.30 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24825, 24824])).
% 6.59/5.30 tff(24827,plain,
% 6.59/5.30 (~always25(s160)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24826, 15526, 13007])).
% 6.59/5.30 tff(24828,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24829,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s159, s160)) | (~always25(s159)) | always25(s160))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24830,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s159, s160)) | (~always25(s159)) | always25(s160)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24829, 24828])).
% 6.59/5.30 tff(24831,plain,
% 6.59/5.30 ((~always25(s159)) | always25(s160)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24830, 23848, 12998])).
% 6.59/5.30 tff(24832,plain,
% 6.59/5.30 (~always25(s159)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24831, 24827])).
% 6.59/5.30 tff(24833,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24834,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24835,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 6.59/5.30 tff(24836,plain,
% 6.59/5.30 (~node26(s159)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24835, 15543, 24832])).
% 6.59/5.30 tff(24837,plain,
% 6.59/5.30 (((~![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))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24838,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s158, s159)) | (~always25(s158)) | always25(s159))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24839,plain,
% 6.59/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s158, s159)) | (~always25(s158)) | always25(s159)),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24838, 24837])).
% 6.59/5.30 tff(24840,plain,
% 6.59/5.30 ((~always25(s158)) | always25(s159)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24839, 23848, 12920])).
% 6.59/5.30 tff(24841,plain,
% 6.59/5.30 (~always25(s158)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24840, 24832])).
% 6.59/5.30 tff(24842,plain,
% 6.59/5.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24843,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24844,plain,
% 6.59/5.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158))),
% 6.59/5.30 inference(modus_ponens,[status(thm)],[24843, 24842])).
% 6.59/5.30 tff(24845,plain,
% 6.59/5.30 (~node26(s158)),
% 6.59/5.30 inference(unit_resolution,[status(thm)],[24844, 15543, 24841])).
% 6.59/5.30 tff(24846,plain,
% 6.59/5.30 (((~![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)))),
% 6.59/5.30 inference(rewrite,[status(thm)],[])).
% 6.59/5.30 tff(24847,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s157, c_t2) | (~node26(s157)))),
% 6.59/5.30 inference(quant_inst,[status(thm)],[])).
% 6.59/5.30 tff(24848,plain,
% 6.59/5.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s157, c_t2) | (~node26(s157))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24847, 24846])).
% 6.59/5.31 tff(24849,plain,
% 6.59/5.31 (~node26(s157)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24848, 23827, 12810])).
% 6.59/5.31 tff(24850,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24851,plain,
% 6.59/5.31 (((~m_main_v_state2(s156, c_c2)) | (~always25(s156))) <=> ((~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24852,plain,
% 6.59/5.31 (((~![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))))),
% 6.59/5.31 inference(monotonicity,[status(thm)],[24851])).
% 6.59/5.31 tff(24853,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(transitivity,[status(thm)],[24852, 24850])).
% 6.59/5.31 tff(24854,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24855,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 6.59/5.31 tff(24856,plain,
% 6.59/5.31 (~always25(s156)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24855, 15526, 12739])).
% 6.59/5.31 tff(24857,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24858,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s155, s156)) | (~always25(s155)) | always25(s156))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24859,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s155, s156)) | (~always25(s155)) | always25(s156)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 6.59/5.31 tff(24860,plain,
% 6.59/5.31 ((~always25(s155)) | always25(s156)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24859, 23848, 12665])).
% 6.59/5.31 tff(24861,plain,
% 6.59/5.31 (~always25(s155)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24860, 24856])).
% 6.59/5.31 tff(24862,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24863,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24864,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24863, 24862])).
% 6.59/5.31 tff(24865,plain,
% 6.59/5.31 (~node26(s155)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24864, 15543, 24861])).
% 6.59/5.31 tff(24866,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24867,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s154, s155)) | (~always25(s154)) | always25(s155))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24868,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s154, s155)) | (~always25(s154)) | always25(s155)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24867, 24866])).
% 6.59/5.31 tff(24869,plain,
% 6.59/5.31 ((~always25(s154)) | always25(s155)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24868, 23848, 12590])).
% 6.59/5.31 tff(24870,plain,
% 6.59/5.31 (~always25(s154)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24869, 24861])).
% 6.59/5.31 tff(24871,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24872,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24873,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24872, 24871])).
% 6.59/5.31 tff(24874,plain,
% 6.59/5.31 (~node26(s154)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24873, 15543, 24870])).
% 6.59/5.31 tff(24875,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24876,plain,
% 6.59/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s153, c_t2) | (~node26(s153)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24877,plain,
% 6.59/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s153, c_t2) | (~node26(s153))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24876, 24875])).
% 6.59/5.31 tff(24878,plain,
% 6.59/5.31 (~node26(s153)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24877, 23827, 12515])).
% 6.59/5.31 tff(24879,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24880,plain,
% 6.59/5.31 (((~m_main_v_state2(s152, c_c2)) | (~always25(s152))) <=> ((~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24881,plain,
% 6.59/5.31 (((~![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))))),
% 6.59/5.31 inference(monotonicity,[status(thm)],[24880])).
% 6.59/5.31 tff(24882,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(transitivity,[status(thm)],[24881, 24879])).
% 6.59/5.31 tff(24883,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24884,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 6.59/5.31 tff(24885,plain,
% 6.59/5.31 (~always25(s152)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24884, 15526, 12379])).
% 6.59/5.31 tff(24886,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24887,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s151, s152)) | (~always25(s151)) | always25(s152))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24888,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s151, s152)) | (~always25(s151)) | always25(s152)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24887, 24886])).
% 6.59/5.31 tff(24889,plain,
% 6.59/5.31 ((~always25(s151)) | always25(s152)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24888, 23848, 12370])).
% 6.59/5.31 tff(24890,plain,
% 6.59/5.31 (~always25(s151)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24889, 24885])).
% 6.59/5.31 tff(24891,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24892,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24893,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 6.59/5.31 tff(24894,plain,
% 6.59/5.31 (~node26(s151)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24893, 15543, 24890])).
% 6.59/5.31 tff(24895,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24896,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s150, s151)) | (~always25(s150)) | always25(s151))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24897,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s150, s151)) | (~always25(s150)) | always25(s151)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 6.59/5.31 tff(24898,plain,
% 6.59/5.31 ((~always25(s150)) | always25(s151)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24897, 23848, 12292])).
% 6.59/5.31 tff(24899,plain,
% 6.59/5.31 (~always25(s150)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24898, 24890])).
% 6.59/5.31 tff(24900,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24901,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24902,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24901, 24900])).
% 6.59/5.31 tff(24903,plain,
% 6.59/5.31 (~node26(s150)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24902, 15543, 24899])).
% 6.59/5.31 tff(24904,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24905,plain,
% 6.59/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s149, c_t2) | (~node26(s149)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24906,plain,
% 6.59/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s149, c_t2) | (~node26(s149))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24905, 24904])).
% 6.59/5.31 tff(24907,plain,
% 6.59/5.31 (~node26(s149)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24906, 23827, 12182])).
% 6.59/5.31 tff(24908,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24909,plain,
% 6.59/5.31 (((~m_main_v_state2(s148, c_c2)) | (~always25(s148))) <=> ((~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24910,plain,
% 6.59/5.31 (((~![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))))),
% 6.59/5.31 inference(monotonicity,[status(thm)],[24909])).
% 6.59/5.31 tff(24911,plain,
% 6.59/5.31 (((~![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)))),
% 6.59/5.31 inference(transitivity,[status(thm)],[24910, 24908])).
% 6.59/5.31 tff(24912,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24913,plain,
% 6.59/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 6.59/5.31 tff(24914,plain,
% 6.59/5.31 (~always25(s148)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24913, 15526, 12111])).
% 6.59/5.31 tff(24915,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24916,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s147, s148)) | (~always25(s147)) | always25(s148))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24917,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s147, s148)) | (~always25(s147)) | always25(s148)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24916, 24915])).
% 6.59/5.31 tff(24918,plain,
% 6.59/5.31 ((~always25(s147)) | always25(s148)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24917, 23848, 12037])).
% 6.59/5.31 tff(24919,plain,
% 6.59/5.31 (~always25(s147)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24918, 24914])).
% 6.59/5.31 tff(24920,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24921,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24922,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24921, 24920])).
% 6.59/5.31 tff(24923,plain,
% 6.59/5.31 (~node26(s147)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24922, 15543, 24919])).
% 6.59/5.31 tff(24924,plain,
% 6.59/5.31 (((~![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))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24925,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s146, s147)) | (~always25(s146)) | always25(s147))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24926,plain,
% 6.59/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s146, s147)) | (~always25(s146)) | always25(s147)),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24925, 24924])).
% 6.59/5.31 tff(24927,plain,
% 6.59/5.31 ((~always25(s146)) | always25(s147)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24926, 23848, 11962])).
% 6.59/5.31 tff(24928,plain,
% 6.59/5.31 (~always25(s146)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24927, 24919])).
% 6.59/5.31 tff(24929,plain,
% 6.59/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146)))),
% 6.59/5.31 inference(rewrite,[status(thm)],[])).
% 6.59/5.31 tff(24930,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))),
% 6.59/5.31 inference(quant_inst,[status(thm)],[])).
% 6.59/5.31 tff(24931,plain,
% 6.59/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146))),
% 6.59/5.31 inference(modus_ponens,[status(thm)],[24930, 24929])).
% 6.59/5.31 tff(24932,plain,
% 6.59/5.31 (~node26(s146)),
% 6.59/5.31 inference(unit_resolution,[status(thm)],[24931, 15543, 24928])).
% 6.59/5.31 tff(24933,plain,
% 6.59/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24934,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s145, c_t2) | (~node26(s145)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24935,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s145, c_t2) | (~node26(s145))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 6.68/5.31 tff(24936,plain,
% 6.68/5.31 (~node26(s145)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24935, 23827, 11887])).
% 6.68/5.31 tff(24937,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24938,plain,
% 6.68/5.31 (((~m_main_v_state2(s144, c_c2)) | (~always25(s144))) <=> ((~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24939,plain,
% 6.68/5.31 (((~![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))))),
% 6.68/5.31 inference(monotonicity,[status(thm)],[24938])).
% 6.68/5.31 tff(24940,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(transitivity,[status(thm)],[24939, 24937])).
% 6.68/5.31 tff(24941,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24942,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24941, 24940])).
% 6.68/5.31 tff(24943,plain,
% 6.68/5.31 (~always25(s144)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24942, 15526, 11751])).
% 6.68/5.31 tff(24944,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24945,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s143, s144)) | (~always25(s143)) | always25(s144))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24946,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s143, s144)) | (~always25(s143)) | always25(s144)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24945, 24944])).
% 6.68/5.31 tff(24947,plain,
% 6.68/5.31 ((~always25(s143)) | always25(s144)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24946, 23848, 11742])).
% 6.68/5.31 tff(24948,plain,
% 6.68/5.31 (~always25(s143)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24947, 24943])).
% 6.68/5.31 tff(24949,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24950,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24951,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24950, 24949])).
% 6.68/5.31 tff(24952,plain,
% 6.68/5.31 (~node26(s143)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24951, 15543, 24948])).
% 6.68/5.31 tff(24953,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24954,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s142, s143)) | (~always25(s142)) | always25(s143))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24955,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s142, s143)) | (~always25(s142)) | always25(s143)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 6.68/5.31 tff(24956,plain,
% 6.68/5.31 ((~always25(s142)) | always25(s143)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24955, 23848, 11664])).
% 6.68/5.31 tff(24957,plain,
% 6.68/5.31 (~always25(s142)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24956, 24948])).
% 6.68/5.31 tff(24958,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24959,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24960,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24959, 24958])).
% 6.68/5.31 tff(24961,plain,
% 6.68/5.31 (~node26(s142)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24960, 15543, 24957])).
% 6.68/5.31 tff(24962,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24963,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s141, c_t2) | (~node26(s141)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24964,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s141, c_t2) | (~node26(s141))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24963, 24962])).
% 6.68/5.31 tff(24965,plain,
% 6.68/5.31 (~node26(s141)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24964, 23827, 11554])).
% 6.68/5.31 tff(24966,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24967,plain,
% 6.68/5.31 (((~m_main_v_state2(s140, c_c2)) | (~always25(s140))) <=> ((~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24968,plain,
% 6.68/5.31 (((~![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))))),
% 6.68/5.31 inference(monotonicity,[status(thm)],[24967])).
% 6.68/5.31 tff(24969,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(transitivity,[status(thm)],[24968, 24966])).
% 6.68/5.31 tff(24970,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24971,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 6.68/5.31 tff(24972,plain,
% 6.68/5.31 (~always25(s140)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24971, 15526, 11483])).
% 6.68/5.31 tff(24973,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24974,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s139, s140)) | (~always25(s139)) | always25(s140))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24975,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s139, s140)) | (~always25(s139)) | always25(s140)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 6.68/5.31 tff(24976,plain,
% 6.68/5.31 ((~always25(s139)) | always25(s140)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24975, 23848, 11409])).
% 6.68/5.31 tff(24977,plain,
% 6.68/5.31 (~always25(s139)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24976, 24972])).
% 6.68/5.31 tff(24978,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24979,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24980,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 6.68/5.31 tff(24981,plain,
% 6.68/5.31 (~node26(s139)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24980, 15543, 24977])).
% 6.68/5.31 tff(24982,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24983,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s138, s139)) | (~always25(s138)) | always25(s139))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24984,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s138, s139)) | (~always25(s138)) | always25(s139)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 6.68/5.31 tff(24985,plain,
% 6.68/5.31 ((~always25(s138)) | always25(s139)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24984, 23848, 11334])).
% 6.68/5.31 tff(24986,plain,
% 6.68/5.31 (~always25(s138)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24985, 24977])).
% 6.68/5.31 tff(24987,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24988,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24989,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24988, 24987])).
% 6.68/5.31 tff(24990,plain,
% 6.68/5.31 (~node26(s138)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24989, 15543, 24986])).
% 6.68/5.31 tff(24991,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24992,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s137, c_t2) | (~node26(s137)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(24993,plain,
% 6.68/5.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s137, c_t2) | (~node26(s137))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24992, 24991])).
% 6.68/5.31 tff(24994,plain,
% 6.68/5.31 (~node26(s137)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[24993, 23827, 11259])).
% 6.68/5.31 tff(24995,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24996,plain,
% 6.68/5.31 (((~m_main_v_state2(s136, c_c2)) | (~always25(s136))) <=> ((~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(24997,plain,
% 6.68/5.31 (((~![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))))),
% 6.68/5.31 inference(monotonicity,[status(thm)],[24996])).
% 6.68/5.31 tff(24998,plain,
% 6.68/5.31 (((~![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)))),
% 6.68/5.31 inference(transitivity,[status(thm)],[24997, 24995])).
% 6.68/5.31 tff(24999,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(25000,plain,
% 6.68/5.31 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[24999, 24998])).
% 6.68/5.31 tff(25001,plain,
% 6.68/5.31 (~always25(s136)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25000, 15526, 11123])).
% 6.68/5.31 tff(25002,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(25003,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s135, s136)) | (~always25(s135)) | always25(s136))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(25004,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s135, s136)) | (~always25(s135)) | always25(s136)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[25003, 25002])).
% 6.68/5.31 tff(25005,plain,
% 6.68/5.31 ((~always25(s135)) | always25(s136)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25004, 23848, 11114])).
% 6.68/5.31 tff(25006,plain,
% 6.68/5.31 (~always25(s135)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25005, 25001])).
% 6.68/5.31 tff(25007,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(25008,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(25009,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135))),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 6.68/5.31 tff(25010,plain,
% 6.68/5.31 (~node26(s135)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25009, 15543, 25006])).
% 6.68/5.31 tff(25011,plain,
% 6.68/5.31 (((~![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))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(25012,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s134, s135)) | (~always25(s134)) | always25(s135))),
% 6.68/5.31 inference(quant_inst,[status(thm)],[])).
% 6.68/5.31 tff(25013,plain,
% 6.68/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s134, s135)) | (~always25(s134)) | always25(s135)),
% 6.68/5.31 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 6.68/5.31 tff(25014,plain,
% 6.68/5.31 ((~always25(s134)) | always25(s135)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25013, 23848, 11036])).
% 6.68/5.31 tff(25015,plain,
% 6.68/5.31 (~always25(s134)),
% 6.68/5.31 inference(unit_resolution,[status(thm)],[25014, 25006])).
% 6.68/5.31 tff(25016,plain,
% 6.68/5.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134)))),
% 6.68/5.31 inference(rewrite,[status(thm)],[])).
% 6.68/5.31 tff(25017,plain,
% 6.68/5.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25018,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 6.68/5.32 tff(25019,plain,
% 6.68/5.32 (~node26(s134)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25018, 15543, 25015])).
% 6.68/5.32 tff(25020,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25021,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s133, c_t2) | (~node26(s133)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25022,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s133, c_t2) | (~node26(s133))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 6.68/5.32 tff(25023,plain,
% 6.68/5.32 (~node26(s133)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25022, 23827, 10926])).
% 6.68/5.32 tff(25024,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25025,plain,
% 6.68/5.32 (((~m_main_v_state2(s132, c_c2)) | (~always25(s132))) <=> ((~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25026,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25025])).
% 6.68/5.32 tff(25027,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25026, 25024])).
% 6.68/5.32 tff(25028,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25029,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25028, 25027])).
% 6.68/5.32 tff(25030,plain,
% 6.68/5.32 (~always25(s132)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25029, 15526, 10855])).
% 6.68/5.32 tff(25031,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25032,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s131, s132)) | (~always25(s131)) | always25(s132))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25033,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s131, s132)) | (~always25(s131)) | always25(s132)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 6.68/5.32 tff(25034,plain,
% 6.68/5.32 ((~always25(s131)) | always25(s132)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25033, 23848, 10781])).
% 6.68/5.32 tff(25035,plain,
% 6.68/5.32 (~always25(s131)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25034, 25030])).
% 6.68/5.32 tff(25036,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25037,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25038,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25037, 25036])).
% 6.68/5.32 tff(25039,plain,
% 6.68/5.32 (~node26(s131)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25038, 15543, 25035])).
% 6.68/5.32 tff(25040,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25041,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s130, s131)) | (~always25(s130)) | always25(s131))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25042,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s130, s131)) | (~always25(s130)) | always25(s131)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25041, 25040])).
% 6.68/5.32 tff(25043,plain,
% 6.68/5.32 ((~always25(s130)) | always25(s131)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25042, 23848, 10706])).
% 6.68/5.32 tff(25044,plain,
% 6.68/5.32 (~always25(s130)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25043, 25035])).
% 6.68/5.32 tff(25045,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25046,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25047,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 6.68/5.32 tff(25048,plain,
% 6.68/5.32 (~node26(s130)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25047, 15543, 25044])).
% 6.68/5.32 tff(25049,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25050,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s129, c_t2) | (~node26(s129)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25051,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s129, c_t2) | (~node26(s129))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25050, 25049])).
% 6.68/5.32 tff(25052,plain,
% 6.68/5.32 (~node26(s129)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25051, 23827, 10631])).
% 6.68/5.32 tff(25053,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25054,plain,
% 6.68/5.32 (((~m_main_v_state2(s128, c_c2)) | (~always25(s128))) <=> ((~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25055,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25054])).
% 6.68/5.32 tff(25056,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25055, 25053])).
% 6.68/5.32 tff(25057,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25058,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 6.68/5.32 tff(25059,plain,
% 6.68/5.32 (~always25(s128)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25058, 15526, 10495])).
% 6.68/5.32 tff(25060,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25061,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s127, s128)) | (~always25(s127)) | always25(s128))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25062,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s127, s128)) | (~always25(s127)) | always25(s128)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 6.68/5.32 tff(25063,plain,
% 6.68/5.32 ((~always25(s127)) | always25(s128)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25062, 23848, 10486])).
% 6.68/5.32 tff(25064,plain,
% 6.68/5.32 (~always25(s127)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25063, 25059])).
% 6.68/5.32 tff(25065,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25066,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25067,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 6.68/5.32 tff(25068,plain,
% 6.68/5.32 (~node26(s127)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25067, 15543, 25064])).
% 6.68/5.32 tff(25069,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25070,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s126, s127)) | (~always25(s126)) | always25(s127))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25071,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s126, s127)) | (~always25(s126)) | always25(s127)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 6.68/5.32 tff(25072,plain,
% 6.68/5.32 ((~always25(s126)) | always25(s127)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25071, 23848, 10408])).
% 6.68/5.32 tff(25073,plain,
% 6.68/5.32 (~always25(s126)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25072, 25064])).
% 6.68/5.32 tff(25074,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25075,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25076,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 6.68/5.32 tff(25077,plain,
% 6.68/5.32 (~node26(s126)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25076, 15543, 25073])).
% 6.68/5.32 tff(25078,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25079,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s125, c_t2) | (~node26(s125)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25080,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s125, c_t2) | (~node26(s125))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25079, 25078])).
% 6.68/5.32 tff(25081,plain,
% 6.68/5.32 (~node26(s125)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25080, 23827, 10298])).
% 6.68/5.32 tff(25082,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25083,plain,
% 6.68/5.32 (((~m_main_v_state2(s124, c_c2)) | (~always25(s124))) <=> ((~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25084,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25083])).
% 6.68/5.32 tff(25085,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25084, 25082])).
% 6.68/5.32 tff(25086,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25087,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 6.68/5.32 tff(25088,plain,
% 6.68/5.32 (~always25(s124)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25087, 15526, 10227])).
% 6.68/5.32 tff(25089,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25090,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s123, s124)) | (~always25(s123)) | always25(s124))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25091,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s123, s124)) | (~always25(s123)) | always25(s124)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25090, 25089])).
% 6.68/5.32 tff(25092,plain,
% 6.68/5.32 ((~always25(s123)) | always25(s124)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25091, 23848, 10153])).
% 6.68/5.32 tff(25093,plain,
% 6.68/5.32 (~always25(s123)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25092, 25088])).
% 6.68/5.32 tff(25094,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25095,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25096,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 6.68/5.32 tff(25097,plain,
% 6.68/5.32 (~node26(s123)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25096, 15543, 25093])).
% 6.68/5.32 tff(25098,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25099,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s122, s123)) | (~always25(s122)) | always25(s123))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25100,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s122, s123)) | (~always25(s122)) | always25(s123)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 6.68/5.32 tff(25101,plain,
% 6.68/5.32 ((~always25(s122)) | always25(s123)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25100, 23848, 10078])).
% 6.68/5.32 tff(25102,plain,
% 6.68/5.32 (~always25(s122)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25101, 25093])).
% 6.68/5.32 tff(25103,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25104,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25105,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25104, 25103])).
% 6.68/5.32 tff(25106,plain,
% 6.68/5.32 (~node26(s122)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25105, 15543, 25102])).
% 6.68/5.32 tff(25107,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25108,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s121, c_t2) | (~node26(s121)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25109,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s121, c_t2) | (~node26(s121))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25108, 25107])).
% 6.68/5.32 tff(25110,plain,
% 6.68/5.32 (~node26(s121)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25109, 23827, 10003])).
% 6.68/5.32 tff(25111,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25112,plain,
% 6.68/5.32 (((~m_main_v_state2(s120, c_c2)) | (~always25(s120))) <=> ((~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25113,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25112])).
% 6.68/5.32 tff(25114,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25113, 25111])).
% 6.68/5.32 tff(25115,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25116,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25115, 25114])).
% 6.68/5.32 tff(25117,plain,
% 6.68/5.32 (~always25(s120)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25116, 15526, 9867])).
% 6.68/5.32 tff(25118,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25119,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s119, s120)) | (~always25(s119)) | always25(s120))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25120,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s119, s120)) | (~always25(s119)) | always25(s120)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25119, 25118])).
% 6.68/5.32 tff(25121,plain,
% 6.68/5.32 ((~always25(s119)) | always25(s120)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25120, 23848, 9858])).
% 6.68/5.32 tff(25122,plain,
% 6.68/5.32 (~always25(s119)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25121, 25117])).
% 6.68/5.32 tff(25123,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25124,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25125,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25124, 25123])).
% 6.68/5.32 tff(25126,plain,
% 6.68/5.32 (~node26(s119)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25125, 15543, 25122])).
% 6.68/5.32 tff(25127,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25128,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s118, s119)) | (~always25(s118)) | always25(s119))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25129,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s118, s119)) | (~always25(s118)) | always25(s119)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25128, 25127])).
% 6.68/5.32 tff(25130,plain,
% 6.68/5.32 ((~always25(s118)) | always25(s119)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25129, 23848, 9780])).
% 6.68/5.32 tff(25131,plain,
% 6.68/5.32 (~always25(s118)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25130, 25122])).
% 6.68/5.32 tff(25132,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25133,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25134,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 6.68/5.32 tff(25135,plain,
% 6.68/5.32 (~node26(s118)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25134, 15543, 25131])).
% 6.68/5.32 tff(25136,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25137,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s117, c_t2) | (~node26(s117)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25138,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s117, c_t2) | (~node26(s117))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 6.68/5.32 tff(25139,plain,
% 6.68/5.32 (~node26(s117)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25138, 23827, 9670])).
% 6.68/5.32 tff(25140,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25141,plain,
% 6.68/5.32 (((~m_main_v_state2(s116, c_c2)) | (~always25(s116))) <=> ((~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25142,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25141])).
% 6.68/5.32 tff(25143,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25142, 25140])).
% 6.68/5.32 tff(25144,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25145,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25144, 25143])).
% 6.68/5.32 tff(25146,plain,
% 6.68/5.32 (~always25(s116)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25145, 15526, 9599])).
% 6.68/5.32 tff(25147,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25148,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s115, s116)) | (~always25(s115)) | always25(s116))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25149,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s115, s116)) | (~always25(s115)) | always25(s116)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25148, 25147])).
% 6.68/5.32 tff(25150,plain,
% 6.68/5.32 ((~always25(s115)) | always25(s116)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25149, 23848, 9525])).
% 6.68/5.32 tff(25151,plain,
% 6.68/5.32 (~always25(s115)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25150, 25146])).
% 6.68/5.32 tff(25152,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25153,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25154,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 6.68/5.32 tff(25155,plain,
% 6.68/5.32 (~node26(s115)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25154, 15543, 25151])).
% 6.68/5.32 tff(25156,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25157,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s114, s115)) | (~always25(s114)) | always25(s115))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25158,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s114, s115)) | (~always25(s114)) | always25(s115)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 6.68/5.32 tff(25159,plain,
% 6.68/5.32 ((~always25(s114)) | always25(s115)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25158, 23848, 9450])).
% 6.68/5.32 tff(25160,plain,
% 6.68/5.32 (~always25(s114)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25159, 25151])).
% 6.68/5.32 tff(25161,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25162,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25163,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 6.68/5.32 tff(25164,plain,
% 6.68/5.32 (~node26(s114)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25163, 15543, 25160])).
% 6.68/5.32 tff(25165,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25166,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s113, c_t2) | (~node26(s113)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25167,plain,
% 6.68/5.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s113, c_t2) | (~node26(s113))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25166, 25165])).
% 6.68/5.32 tff(25168,plain,
% 6.68/5.32 (~node26(s113)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25167, 23827, 9375])).
% 6.68/5.32 tff(25169,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25170,plain,
% 6.68/5.32 (((~m_main_v_state2(s112, c_c2)) | (~always25(s112))) <=> ((~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25171,plain,
% 6.68/5.32 (((~![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))))),
% 6.68/5.32 inference(monotonicity,[status(thm)],[25170])).
% 6.68/5.32 tff(25172,plain,
% 6.68/5.32 (((~![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)))),
% 6.68/5.32 inference(transitivity,[status(thm)],[25171, 25169])).
% 6.68/5.32 tff(25173,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25174,plain,
% 6.68/5.32 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 6.68/5.32 tff(25175,plain,
% 6.68/5.32 (~always25(s112)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25174, 15526, 9239])).
% 6.68/5.32 tff(25176,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25177,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s111, s112)) | (~always25(s111)) | always25(s112))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25178,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s111, s112)) | (~always25(s111)) | always25(s112)),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 6.68/5.32 tff(25179,plain,
% 6.68/5.32 ((~always25(s111)) | always25(s112)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25178, 23848, 9230])).
% 6.68/5.32 tff(25180,plain,
% 6.68/5.32 (~always25(s111)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25179, 25175])).
% 6.68/5.32 tff(25181,plain,
% 6.68/5.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111)))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25182,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))),
% 6.68/5.32 inference(quant_inst,[status(thm)],[])).
% 6.68/5.32 tff(25183,plain,
% 6.68/5.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111))),
% 6.68/5.32 inference(modus_ponens,[status(thm)],[25182, 25181])).
% 6.68/5.32 tff(25184,plain,
% 6.68/5.32 (~node26(s111)),
% 6.68/5.32 inference(unit_resolution,[status(thm)],[25183, 15543, 25180])).
% 6.68/5.32 tff(25185,plain,
% 6.68/5.32 (((~![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))),
% 6.68/5.32 inference(rewrite,[status(thm)],[])).
% 6.68/5.32 tff(25186,plain,
% 6.68/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s110, s111)) | (~always25(s110)) | always25(s111))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25187,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s110, s111)) | (~always25(s110)) | always25(s111)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 6.68/5.33 tff(25188,plain,
% 6.68/5.33 ((~always25(s110)) | always25(s111)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25187, 23848, 9152])).
% 6.68/5.33 tff(25189,plain,
% 6.68/5.33 (~always25(s110)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25188, 25180])).
% 6.68/5.33 tff(25190,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25191,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25192,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 6.68/5.33 tff(25193,plain,
% 6.68/5.33 (~node26(s110)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25192, 15543, 25189])).
% 6.68/5.33 tff(25194,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25195,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s109, c_t2) | (~node26(s109)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25196,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s109, c_t2) | (~node26(s109))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 6.68/5.33 tff(25197,plain,
% 6.68/5.33 (~node26(s109)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25196, 23827, 9042])).
% 6.68/5.33 tff(25198,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25199,plain,
% 6.68/5.33 (((~m_main_v_state2(s108, c_c2)) | (~always25(s108))) <=> ((~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25200,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25199])).
% 6.68/5.33 tff(25201,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25200, 25198])).
% 6.68/5.33 tff(25202,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25203,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 6.68/5.33 tff(25204,plain,
% 6.68/5.33 (~always25(s108)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25203, 15526, 8971])).
% 6.68/5.33 tff(25205,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25206,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s107, s108)) | (~always25(s107)) | always25(s108))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25207,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s107, s108)) | (~always25(s107)) | always25(s108)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 6.68/5.33 tff(25208,plain,
% 6.68/5.33 ((~always25(s107)) | always25(s108)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25207, 23848, 8897])).
% 6.68/5.33 tff(25209,plain,
% 6.68/5.33 (~always25(s107)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25208, 25204])).
% 6.68/5.33 tff(25210,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25211,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25212,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 6.68/5.33 tff(25213,plain,
% 6.68/5.33 (~node26(s107)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25212, 15543, 25209])).
% 6.68/5.33 tff(25214,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25215,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s106, s107)) | (~always25(s106)) | always25(s107))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25216,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s106, s107)) | (~always25(s106)) | always25(s107)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25215, 25214])).
% 6.68/5.33 tff(25217,plain,
% 6.68/5.33 ((~always25(s106)) | always25(s107)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25216, 23848, 8822])).
% 6.68/5.33 tff(25218,plain,
% 6.68/5.33 (~always25(s106)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25217, 25209])).
% 6.68/5.33 tff(25219,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25220,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25221,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25220, 25219])).
% 6.68/5.33 tff(25222,plain,
% 6.68/5.33 (~node26(s106)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25221, 15543, 25218])).
% 6.68/5.33 tff(25223,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25224,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s105, c_t2) | (~node26(s105)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25225,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s105, c_t2) | (~node26(s105))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25224, 25223])).
% 6.68/5.33 tff(25226,plain,
% 6.68/5.33 (~node26(s105)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25225, 23827, 8747])).
% 6.68/5.33 tff(25227,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25228,plain,
% 6.68/5.33 (((~m_main_v_state2(s104, c_c2)) | (~always25(s104))) <=> ((~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25229,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25228])).
% 6.68/5.33 tff(25230,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25229, 25227])).
% 6.68/5.33 tff(25231,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25232,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25231, 25230])).
% 6.68/5.33 tff(25233,plain,
% 6.68/5.33 (~always25(s104)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25232, 15526, 8611])).
% 6.68/5.33 tff(25234,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25235,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s103, s104)) | (~always25(s103)) | always25(s104))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25236,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s103, s104)) | (~always25(s103)) | always25(s104)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 6.68/5.33 tff(25237,plain,
% 6.68/5.33 ((~always25(s103)) | always25(s104)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25236, 23848, 8602])).
% 6.68/5.33 tff(25238,plain,
% 6.68/5.33 (~always25(s103)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25237, 25233])).
% 6.68/5.33 tff(25239,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25240,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25241,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 6.68/5.33 tff(25242,plain,
% 6.68/5.33 (~node26(s103)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25241, 15543, 25238])).
% 6.68/5.33 tff(25243,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25244,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s102, s103)) | (~always25(s102)) | always25(s103))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25245,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s102, s103)) | (~always25(s102)) | always25(s103)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 6.68/5.33 tff(25246,plain,
% 6.68/5.33 ((~always25(s102)) | always25(s103)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25245, 23848, 8524])).
% 6.68/5.33 tff(25247,plain,
% 6.68/5.33 (~always25(s102)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25246, 25238])).
% 6.68/5.33 tff(25248,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25249,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25250,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25249, 25248])).
% 6.68/5.33 tff(25251,plain,
% 6.68/5.33 (~node26(s102)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25250, 15543, 25247])).
% 6.68/5.33 tff(25252,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25253,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s101, c_t2) | (~node26(s101)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25254,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s101, c_t2) | (~node26(s101))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25253, 25252])).
% 6.68/5.33 tff(25255,plain,
% 6.68/5.33 (~node26(s101)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25254, 23827, 8414])).
% 6.68/5.33 tff(25256,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25257,plain,
% 6.68/5.33 (((~m_main_v_state2(s100, c_c2)) | (~always25(s100))) <=> ((~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25258,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25257])).
% 6.68/5.33 tff(25259,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25258, 25256])).
% 6.68/5.33 tff(25260,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25261,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25260, 25259])).
% 6.68/5.33 tff(25262,plain,
% 6.68/5.33 (~always25(s100)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25261, 15526, 8343])).
% 6.68/5.33 tff(25263,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25264,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s99, s100)) | (~always25(s99)) | always25(s100))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25265,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s99, s100)) | (~always25(s99)) | always25(s100)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 6.68/5.33 tff(25266,plain,
% 6.68/5.33 ((~always25(s99)) | always25(s100)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25265, 23848, 8269])).
% 6.68/5.33 tff(25267,plain,
% 6.68/5.33 (~always25(s99)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25266, 25262])).
% 6.68/5.33 tff(25268,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25269,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25270,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 6.68/5.33 tff(25271,plain,
% 6.68/5.33 (~node26(s99)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25270, 15543, 25267])).
% 6.68/5.33 tff(25272,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25273,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s98, s99)) | (~always25(s98)) | always25(s99))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25274,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s98, s99)) | (~always25(s98)) | always25(s99)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25273, 25272])).
% 6.68/5.33 tff(25275,plain,
% 6.68/5.33 ((~always25(s98)) | always25(s99)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25274, 23848, 8194])).
% 6.68/5.33 tff(25276,plain,
% 6.68/5.33 (~always25(s98)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25275, 25267])).
% 6.68/5.33 tff(25277,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25278,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25279,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25278, 25277])).
% 6.68/5.33 tff(25280,plain,
% 6.68/5.33 (~node26(s98)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25279, 15543, 25276])).
% 6.68/5.33 tff(25281,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25282,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s97, c_t2) | (~node26(s97)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25283,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s97, c_t2) | (~node26(s97))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 6.68/5.33 tff(25284,plain,
% 6.68/5.33 (~node26(s97)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25283, 23827, 8119])).
% 6.68/5.33 tff(25285,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25286,plain,
% 6.68/5.33 (((~m_main_v_state2(s96, c_c2)) | (~always25(s96))) <=> ((~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25287,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25286])).
% 6.68/5.33 tff(25288,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25287, 25285])).
% 6.68/5.33 tff(25289,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25290,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25289, 25288])).
% 6.68/5.33 tff(25291,plain,
% 6.68/5.33 (~always25(s96)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25290, 15526, 7983])).
% 6.68/5.33 tff(25292,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25293,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s95, s96)) | (~always25(s95)) | always25(s96))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25294,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s95, s96)) | (~always25(s95)) | always25(s96)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25293, 25292])).
% 6.68/5.33 tff(25295,plain,
% 6.68/5.33 ((~always25(s95)) | always25(s96)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25294, 23848, 7974])).
% 6.68/5.33 tff(25296,plain,
% 6.68/5.33 (~always25(s95)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25295, 25291])).
% 6.68/5.33 tff(25297,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25298,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25299,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25298, 25297])).
% 6.68/5.33 tff(25300,plain,
% 6.68/5.33 (~node26(s95)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25299, 15543, 25296])).
% 6.68/5.33 tff(25301,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25302,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s94, s95)) | (~always25(s94)) | always25(s95))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25303,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s94, s95)) | (~always25(s94)) | always25(s95)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 6.68/5.33 tff(25304,plain,
% 6.68/5.33 ((~always25(s94)) | always25(s95)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25303, 23848, 7896])).
% 6.68/5.33 tff(25305,plain,
% 6.68/5.33 (~always25(s94)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25304, 25296])).
% 6.68/5.33 tff(25306,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25307,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25308,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 6.68/5.33 tff(25309,plain,
% 6.68/5.33 (~node26(s94)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25308, 15543, 25305])).
% 6.68/5.33 tff(25310,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25311,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s93, c_t2) | (~node26(s93)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25312,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s93, c_t2) | (~node26(s93))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 6.68/5.33 tff(25313,plain,
% 6.68/5.33 (~node26(s93)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25312, 23827, 7786])).
% 6.68/5.33 tff(25314,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25315,plain,
% 6.68/5.33 (((~m_main_v_state2(s92, c_c2)) | (~always25(s92))) <=> ((~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25316,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25315])).
% 6.68/5.33 tff(25317,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25316, 25314])).
% 6.68/5.33 tff(25318,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25319,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 6.68/5.33 tff(25320,plain,
% 6.68/5.33 (~always25(s92)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25319, 15526, 7715])).
% 6.68/5.33 tff(25321,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25322,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s91, s92)) | (~always25(s91)) | always25(s92))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25323,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s91, s92)) | (~always25(s91)) | always25(s92)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25322, 25321])).
% 6.68/5.33 tff(25324,plain,
% 6.68/5.33 ((~always25(s91)) | always25(s92)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25323, 23848, 7641])).
% 6.68/5.33 tff(25325,plain,
% 6.68/5.33 (~always25(s91)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25324, 25320])).
% 6.68/5.33 tff(25326,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25327,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25328,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 6.68/5.33 tff(25329,plain,
% 6.68/5.33 (~node26(s91)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25328, 15543, 25325])).
% 6.68/5.33 tff(25330,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25331,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s90, s91)) | (~always25(s90)) | always25(s91))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25332,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s90, s91)) | (~always25(s90)) | always25(s91)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25331, 25330])).
% 6.68/5.33 tff(25333,plain,
% 6.68/5.33 ((~always25(s90)) | always25(s91)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25332, 23848, 7566])).
% 6.68/5.33 tff(25334,plain,
% 6.68/5.33 (~always25(s90)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25333, 25325])).
% 6.68/5.33 tff(25335,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25336,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25337,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 6.68/5.33 tff(25338,plain,
% 6.68/5.33 (~node26(s90)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25337, 15543, 25334])).
% 6.68/5.33 tff(25339,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25340,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s89, c_t2) | (~node26(s89)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25341,plain,
% 6.68/5.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s89, c_t2) | (~node26(s89))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25340, 25339])).
% 6.68/5.33 tff(25342,plain,
% 6.68/5.33 (~node26(s89)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25341, 23827, 7491])).
% 6.68/5.33 tff(25343,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25344,plain,
% 6.68/5.33 (((~m_main_v_state2(s88, c_c2)) | (~always25(s88))) <=> ((~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25345,plain,
% 6.68/5.33 (((~![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))))),
% 6.68/5.33 inference(monotonicity,[status(thm)],[25344])).
% 6.68/5.33 tff(25346,plain,
% 6.68/5.33 (((~![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)))),
% 6.68/5.33 inference(transitivity,[status(thm)],[25345, 25343])).
% 6.68/5.33 tff(25347,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25348,plain,
% 6.68/5.33 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2))),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 6.68/5.33 tff(25349,plain,
% 6.68/5.33 (~always25(s88)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25348, 15526, 7355])).
% 6.68/5.33 tff(25350,plain,
% 6.68/5.33 (((~![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))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25351,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s87, s88)) | (~always25(s87)) | always25(s88))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25352,plain,
% 6.68/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s87, s88)) | (~always25(s87)) | always25(s88)),
% 6.68/5.33 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 6.68/5.33 tff(25353,plain,
% 6.68/5.33 ((~always25(s87)) | always25(s88)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25352, 23848, 7346])).
% 6.68/5.33 tff(25354,plain,
% 6.68/5.33 (~always25(s87)),
% 6.68/5.33 inference(unit_resolution,[status(thm)],[25353, 25349])).
% 6.68/5.33 tff(25355,plain,
% 6.68/5.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87)))),
% 6.68/5.33 inference(rewrite,[status(thm)],[])).
% 6.68/5.33 tff(25356,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))),
% 6.68/5.33 inference(quant_inst,[status(thm)],[])).
% 6.68/5.33 tff(25357,plain,
% 6.68/5.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 6.68/5.34 tff(25358,plain,
% 6.68/5.34 (~node26(s87)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25357, 15543, 25354])).
% 6.68/5.34 tff(25359,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25360,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s86, s87)) | (~always25(s86)) | always25(s87))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25361,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s86, s87)) | (~always25(s86)) | always25(s87)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 6.68/5.34 tff(25362,plain,
% 6.68/5.34 ((~always25(s86)) | always25(s87)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25361, 23848, 7268])).
% 6.68/5.34 tff(25363,plain,
% 6.68/5.34 (~always25(s86)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25362, 25354])).
% 6.68/5.34 tff(25364,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25365,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25366,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 6.68/5.34 tff(25367,plain,
% 6.68/5.34 (~node26(s86)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25366, 15543, 25363])).
% 6.68/5.34 tff(25368,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25369,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s85, c_t2) | (~node26(s85)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25370,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s85, c_t2) | (~node26(s85))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25369, 25368])).
% 6.68/5.34 tff(25371,plain,
% 6.68/5.34 (~node26(s85)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25370, 23827, 7158])).
% 6.68/5.34 tff(25372,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25373,plain,
% 6.68/5.34 (((~m_main_v_state2(s84, c_c2)) | (~always25(s84))) <=> ((~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25374,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25373])).
% 6.68/5.34 tff(25375,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25374, 25372])).
% 6.68/5.34 tff(25376,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25377,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 6.68/5.34 tff(25378,plain,
% 6.68/5.34 (~always25(s84)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25377, 15526, 7087])).
% 6.68/5.34 tff(25379,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25380,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s83, s84)) | (~always25(s83)) | always25(s84))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25381,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s83, s84)) | (~always25(s83)) | always25(s84)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 6.68/5.34 tff(25382,plain,
% 6.68/5.34 ((~always25(s83)) | always25(s84)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25381, 23848, 7013])).
% 6.68/5.34 tff(25383,plain,
% 6.68/5.34 (~always25(s83)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25382, 25378])).
% 6.68/5.34 tff(25384,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25385,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25386,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25385, 25384])).
% 6.68/5.34 tff(25387,plain,
% 6.68/5.34 (~node26(s83)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25386, 15543, 25383])).
% 6.68/5.34 tff(25388,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25389,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s82, s83)) | (~always25(s82)) | always25(s83))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25390,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s82, s83)) | (~always25(s82)) | always25(s83)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 6.68/5.34 tff(25391,plain,
% 6.68/5.34 ((~always25(s82)) | always25(s83)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25390, 23848, 6938])).
% 6.68/5.34 tff(25392,plain,
% 6.68/5.34 (~always25(s82)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25391, 25383])).
% 6.68/5.34 tff(25393,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25394,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25395,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25394, 25393])).
% 6.68/5.34 tff(25396,plain,
% 6.68/5.34 (~node26(s82)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25395, 15543, 25392])).
% 6.68/5.34 tff(25397,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25398,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s81, c_t2) | (~node26(s81)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25399,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s81, c_t2) | (~node26(s81))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25398, 25397])).
% 6.68/5.34 tff(25400,plain,
% 6.68/5.34 (~node26(s81)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25399, 23827, 6863])).
% 6.68/5.34 tff(25401,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25402,plain,
% 6.68/5.34 (((~m_main_v_state2(s80, c_c2)) | (~always25(s80))) <=> ((~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25403,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25402])).
% 6.68/5.34 tff(25404,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25403, 25401])).
% 6.68/5.34 tff(25405,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25406,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25405, 25404])).
% 6.68/5.34 tff(25407,plain,
% 6.68/5.34 (~always25(s80)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25406, 15526, 6727])).
% 6.68/5.34 tff(25408,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25409,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s79, s80)) | (~always25(s79)) | always25(s80))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25410,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s79, s80)) | (~always25(s79)) | always25(s80)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 6.68/5.34 tff(25411,plain,
% 6.68/5.34 ((~always25(s79)) | always25(s80)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25410, 23848, 6718])).
% 6.68/5.34 tff(25412,plain,
% 6.68/5.34 (~always25(s79)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25411, 25407])).
% 6.68/5.34 tff(25413,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25414,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25415,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 6.68/5.34 tff(25416,plain,
% 6.68/5.34 (~node26(s79)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25415, 15543, 25412])).
% 6.68/5.34 tff(25417,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25418,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s78, s79)) | (~always25(s78)) | always25(s79))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25419,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s78, s79)) | (~always25(s78)) | always25(s79)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 6.68/5.34 tff(25420,plain,
% 6.68/5.34 ((~always25(s78)) | always25(s79)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25419, 23848, 6640])).
% 6.68/5.34 tff(25421,plain,
% 6.68/5.34 (~always25(s78)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25420, 25412])).
% 6.68/5.34 tff(25422,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25423,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25424,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25423, 25422])).
% 6.68/5.34 tff(25425,plain,
% 6.68/5.34 (~node26(s78)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25424, 15543, 25421])).
% 6.68/5.34 tff(25426,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25427,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s77, c_t2) | (~node26(s77)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25428,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s77, c_t2) | (~node26(s77))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 6.68/5.34 tff(25429,plain,
% 6.68/5.34 (~node26(s77)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25428, 23827, 6530])).
% 6.68/5.34 tff(25430,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25431,plain,
% 6.68/5.34 (((~m_main_v_state2(s76, c_c2)) | (~always25(s76))) <=> ((~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25432,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25431])).
% 6.68/5.34 tff(25433,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25432, 25430])).
% 6.68/5.34 tff(25434,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25435,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 6.68/5.34 tff(25436,plain,
% 6.68/5.34 (~always25(s76)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25435, 15526, 6459])).
% 6.68/5.34 tff(25437,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25438,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s75, s76)) | (~always25(s75)) | always25(s76))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25439,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s75, s76)) | (~always25(s75)) | always25(s76)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25438, 25437])).
% 6.68/5.34 tff(25440,plain,
% 6.68/5.34 ((~always25(s75)) | always25(s76)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25439, 23848, 6385])).
% 6.68/5.34 tff(25441,plain,
% 6.68/5.34 (~always25(s75)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25440, 25436])).
% 6.68/5.34 tff(25442,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25443,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25444,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 6.68/5.34 tff(25445,plain,
% 6.68/5.34 (~node26(s75)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25444, 15543, 25441])).
% 6.68/5.34 tff(25446,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25447,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s74, s75)) | (~always25(s74)) | always25(s75))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25448,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s74, s75)) | (~always25(s74)) | always25(s75)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 6.68/5.34 tff(25449,plain,
% 6.68/5.34 ((~always25(s74)) | always25(s75)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25448, 23848, 6310])).
% 6.68/5.34 tff(25450,plain,
% 6.68/5.34 (~always25(s74)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25449, 25441])).
% 6.68/5.34 tff(25451,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25452,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25453,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25452, 25451])).
% 6.68/5.34 tff(25454,plain,
% 6.68/5.34 (~node26(s74)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25453, 15543, 25450])).
% 6.68/5.34 tff(25455,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25456,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s73, c_t2) | (~node26(s73)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25457,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s73, c_t2) | (~node26(s73))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 6.68/5.34 tff(25458,plain,
% 6.68/5.34 (~node26(s73)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25457, 23827, 6235])).
% 6.68/5.34 tff(25459,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25460,plain,
% 6.68/5.34 (((~m_main_v_state2(s72, c_c2)) | (~always25(s72))) <=> ((~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25461,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25460])).
% 6.68/5.34 tff(25462,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25461, 25459])).
% 6.68/5.34 tff(25463,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25464,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 6.68/5.34 tff(25465,plain,
% 6.68/5.34 (~always25(s72)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25464, 15526, 6099])).
% 6.68/5.34 tff(25466,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25467,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s71, s72)) | (~always25(s71)) | always25(s72))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25468,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s71, s72)) | (~always25(s71)) | always25(s72)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 6.68/5.34 tff(25469,plain,
% 6.68/5.34 ((~always25(s71)) | always25(s72)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25468, 23848, 6090])).
% 6.68/5.34 tff(25470,plain,
% 6.68/5.34 (~always25(s71)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25469, 25465])).
% 6.68/5.34 tff(25471,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25472,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25473,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25472, 25471])).
% 6.68/5.34 tff(25474,plain,
% 6.68/5.34 (~node26(s71)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25473, 15543, 25470])).
% 6.68/5.34 tff(25475,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25476,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s70, s71)) | (~always25(s70)) | always25(s71))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25477,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s70, s71)) | (~always25(s70)) | always25(s71)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25476, 25475])).
% 6.68/5.34 tff(25478,plain,
% 6.68/5.34 ((~always25(s70)) | always25(s71)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25477, 23848, 6012])).
% 6.68/5.34 tff(25479,plain,
% 6.68/5.34 (~always25(s70)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25478, 25470])).
% 6.68/5.34 tff(25480,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25481,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25482,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25481, 25480])).
% 6.68/5.34 tff(25483,plain,
% 6.68/5.34 (~node26(s70)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25482, 15543, 25479])).
% 6.68/5.34 tff(25484,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25485,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s69, c_t2) | (~node26(s69)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25486,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s69, c_t2) | (~node26(s69))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25485, 25484])).
% 6.68/5.34 tff(25487,plain,
% 6.68/5.34 (~node26(s69)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25486, 23827, 5902])).
% 6.68/5.34 tff(25488,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25489,plain,
% 6.68/5.34 (((~m_main_v_state2(s68, c_c2)) | (~always25(s68))) <=> ((~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25490,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25489])).
% 6.68/5.34 tff(25491,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25490, 25488])).
% 6.68/5.34 tff(25492,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25493,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 6.68/5.34 tff(25494,plain,
% 6.68/5.34 (~always25(s68)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25493, 15526, 5831])).
% 6.68/5.34 tff(25495,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25496,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s67, s68)) | (~always25(s67)) | always25(s68))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25497,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s67, s68)) | (~always25(s67)) | always25(s68)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 6.68/5.34 tff(25498,plain,
% 6.68/5.34 ((~always25(s67)) | always25(s68)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25497, 23848, 5757])).
% 6.68/5.34 tff(25499,plain,
% 6.68/5.34 (~always25(s67)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25498, 25494])).
% 6.68/5.34 tff(25500,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25501,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25502,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 6.68/5.34 tff(25503,plain,
% 6.68/5.34 (~node26(s67)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25502, 15543, 25499])).
% 6.68/5.34 tff(25504,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25505,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s66, s67)) | (~always25(s66)) | always25(s67))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25506,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s66, s67)) | (~always25(s66)) | always25(s67)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25505, 25504])).
% 6.68/5.34 tff(25507,plain,
% 6.68/5.34 ((~always25(s66)) | always25(s67)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25506, 23848, 5682])).
% 6.68/5.34 tff(25508,plain,
% 6.68/5.34 (~always25(s66)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25507, 25499])).
% 6.68/5.34 tff(25509,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25510,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25511,plain,
% 6.68/5.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25510, 25509])).
% 6.68/5.34 tff(25512,plain,
% 6.68/5.34 (~node26(s66)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25511, 15543, 25508])).
% 6.68/5.34 tff(25513,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25514,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s65, c_t2) | (~node26(s65)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25515,plain,
% 6.68/5.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s65, c_t2) | (~node26(s65))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25514, 25513])).
% 6.68/5.34 tff(25516,plain,
% 6.68/5.34 (~node26(s65)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25515, 23827, 5607])).
% 6.68/5.34 tff(25517,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25518,plain,
% 6.68/5.34 (((~m_main_v_state2(s64, c_c2)) | (~always25(s64))) <=> ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25519,plain,
% 6.68/5.34 (((~![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))))),
% 6.68/5.34 inference(monotonicity,[status(thm)],[25518])).
% 6.68/5.34 tff(25520,plain,
% 6.68/5.34 (((~![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)))),
% 6.68/5.34 inference(transitivity,[status(thm)],[25519, 25517])).
% 6.68/5.34 tff(25521,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25522,plain,
% 6.68/5.34 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2))),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 6.68/5.34 tff(25523,plain,
% 6.68/5.34 (~always25(s64)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25522, 15526, 5471])).
% 6.68/5.34 tff(25524,plain,
% 6.68/5.34 (((~![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))),
% 6.68/5.34 inference(rewrite,[status(thm)],[])).
% 6.68/5.34 tff(25525,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 6.68/5.34 inference(quant_inst,[status(thm)],[])).
% 6.68/5.34 tff(25526,plain,
% 6.68/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s63, s64)) | (~always25(s63)) | always25(s64)),
% 6.68/5.34 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 6.68/5.34 tff(25527,plain,
% 6.68/5.34 ((~always25(s63)) | always25(s64)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25526, 23848, 5462])).
% 6.68/5.34 tff(25528,plain,
% 6.68/5.34 (~always25(s63)),
% 6.68/5.34 inference(unit_resolution,[status(thm)],[25527, 25523])).
% 6.68/5.34 tff(25529,plain,
% 6.68/5.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25530,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25531,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25530, 25529])).
% 6.68/5.35 tff(25532,plain,
% 6.68/5.35 (~node26(s63)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25531, 15543, 25528])).
% 6.68/5.35 tff(25533,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25534,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25535,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25534, 25533])).
% 6.68/5.35 tff(25536,plain,
% 6.68/5.35 ((~always25(s62)) | always25(s63)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25535, 23848, 5384])).
% 6.68/5.35 tff(25537,plain,
% 6.68/5.35 (~always25(s62)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25536, 25528])).
% 6.68/5.35 tff(25538,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25539,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25540,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 6.68/5.35 tff(25541,plain,
% 6.68/5.35 (~node26(s62)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25540, 15543, 25537])).
% 6.68/5.35 tff(25542,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25543,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25544,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25543, 25542])).
% 6.68/5.35 tff(25545,plain,
% 6.68/5.35 (~node26(s61)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25544, 23827, 5274])).
% 6.68/5.35 tff(25546,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25547,plain,
% 6.68/5.35 (((~m_main_v_state2(s60, c_c2)) | (~always25(s60))) <=> ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25548,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25547])).
% 6.68/5.35 tff(25549,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25548, 25546])).
% 6.68/5.35 tff(25550,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25551,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 6.68/5.35 tff(25552,plain,
% 6.68/5.35 (~always25(s60)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25551, 15526, 5203])).
% 6.68/5.35 tff(25553,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25554,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25555,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25554, 25553])).
% 6.68/5.35 tff(25556,plain,
% 6.68/5.35 ((~always25(s59)) | always25(s60)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25555, 23848, 5129])).
% 6.68/5.35 tff(25557,plain,
% 6.68/5.35 (~always25(s59)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25556, 25552])).
% 6.68/5.35 tff(25558,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25559,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25560,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 6.68/5.35 tff(25561,plain,
% 6.68/5.35 (~node26(s59)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25560, 15543, 25557])).
% 6.68/5.35 tff(25562,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25563,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25564,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 6.68/5.35 tff(25565,plain,
% 6.68/5.35 ((~always25(s58)) | always25(s59)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25564, 23848, 5054])).
% 6.68/5.35 tff(25566,plain,
% 6.68/5.35 (~always25(s58)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25565, 25557])).
% 6.68/5.35 tff(25567,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25568,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25569,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 6.68/5.35 tff(25570,plain,
% 6.68/5.35 (~node26(s58)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25569, 15543, 25566])).
% 6.68/5.35 tff(25571,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25572,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25573,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25572, 25571])).
% 6.68/5.35 tff(25574,plain,
% 6.68/5.35 (~node26(s57)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25573, 23827, 4979])).
% 6.68/5.35 tff(25575,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25576,plain,
% 6.68/5.35 (((~m_main_v_state2(s56, c_c2)) | (~always25(s56))) <=> ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25577,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25576])).
% 6.68/5.35 tff(25578,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25577, 25575])).
% 6.68/5.35 tff(25579,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25580,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 6.68/5.35 tff(25581,plain,
% 6.68/5.35 (~always25(s56)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25580, 15526, 4843])).
% 6.68/5.35 tff(25582,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25583,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25584,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 6.68/5.35 tff(25585,plain,
% 6.68/5.35 ((~always25(s55)) | always25(s56)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25584, 23848, 4834])).
% 6.68/5.35 tff(25586,plain,
% 6.68/5.35 (~always25(s55)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25585, 25581])).
% 6.68/5.35 tff(25587,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25588,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25589,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 6.68/5.35 tff(25590,plain,
% 6.68/5.35 (~node26(s55)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25589, 15543, 25586])).
% 6.68/5.35 tff(25591,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25592,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25593,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 6.68/5.35 tff(25594,plain,
% 6.68/5.35 ((~always25(s54)) | always25(s55)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25593, 23848, 4756])).
% 6.68/5.35 tff(25595,plain,
% 6.68/5.35 (~always25(s54)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25594, 25586])).
% 6.68/5.35 tff(25596,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25597,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25598,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 6.68/5.35 tff(25599,plain,
% 6.68/5.35 (~node26(s54)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25598, 15543, 25595])).
% 6.68/5.35 tff(25600,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25601,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25602,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25601, 25600])).
% 6.68/5.35 tff(25603,plain,
% 6.68/5.35 (~node26(s53)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25602, 23827, 4646])).
% 6.68/5.35 tff(25604,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25605,plain,
% 6.68/5.35 (((~m_main_v_state2(s52, c_c2)) | (~always25(s52))) <=> ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25606,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25605])).
% 6.68/5.35 tff(25607,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25606, 25604])).
% 6.68/5.35 tff(25608,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25609,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 6.68/5.35 tff(25610,plain,
% 6.68/5.35 (~always25(s52)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25609, 15526, 4575])).
% 6.68/5.35 tff(25611,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25612,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25613,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 6.68/5.35 tff(25614,plain,
% 6.68/5.35 ((~always25(s51)) | always25(s52)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25613, 23848, 4501])).
% 6.68/5.35 tff(25615,plain,
% 6.68/5.35 (~always25(s51)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25614, 25610])).
% 6.68/5.35 tff(25616,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25617,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25618,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 6.68/5.35 tff(25619,plain,
% 6.68/5.35 (~node26(s51)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25618, 15543, 25615])).
% 6.68/5.35 tff(25620,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25621,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25622,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 6.68/5.35 tff(25623,plain,
% 6.68/5.35 ((~always25(s50)) | always25(s51)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25622, 23848, 4426])).
% 6.68/5.35 tff(25624,plain,
% 6.68/5.35 (~always25(s50)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25623, 25615])).
% 6.68/5.35 tff(25625,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25626,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25627,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 6.68/5.35 tff(25628,plain,
% 6.68/5.35 (~node26(s50)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25627, 15543, 25624])).
% 6.68/5.35 tff(25629,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25630,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25631,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 6.68/5.35 tff(25632,plain,
% 6.68/5.35 (~node26(s49)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25631, 23827, 4351])).
% 6.68/5.35 tff(25633,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25634,plain,
% 6.68/5.35 (((~m_main_v_state2(s48, c_c2)) | (~always25(s48))) <=> ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25635,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25634])).
% 6.68/5.35 tff(25636,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25635, 25633])).
% 6.68/5.35 tff(25637,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25638,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 6.68/5.35 tff(25639,plain,
% 6.68/5.35 (~always25(s48)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25638, 15526, 4215])).
% 6.68/5.35 tff(25640,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25641,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25642,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 6.68/5.35 tff(25643,plain,
% 6.68/5.35 ((~always25(s47)) | always25(s48)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25642, 23848, 4206])).
% 6.68/5.35 tff(25644,plain,
% 6.68/5.35 (~always25(s47)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25643, 25639])).
% 6.68/5.35 tff(25645,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25646,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25647,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 6.68/5.35 tff(25648,plain,
% 6.68/5.35 (~node26(s47)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25647, 15543, 25644])).
% 6.68/5.35 tff(25649,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25650,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25651,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25650, 25649])).
% 6.68/5.35 tff(25652,plain,
% 6.68/5.35 ((~always25(s46)) | always25(s47)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25651, 23848, 4128])).
% 6.68/5.35 tff(25653,plain,
% 6.68/5.35 (~always25(s46)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25652, 25644])).
% 6.68/5.35 tff(25654,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25655,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25656,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 6.68/5.35 tff(25657,plain,
% 6.68/5.35 (~node26(s46)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25656, 15543, 25653])).
% 6.68/5.35 tff(25658,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25659,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25660,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 6.68/5.35 tff(25661,plain,
% 6.68/5.35 (~node26(s45)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25660, 23827, 4018])).
% 6.68/5.35 tff(25662,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25663,plain,
% 6.68/5.35 (((~m_main_v_state2(s44, c_c2)) | (~always25(s44))) <=> ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25664,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25663])).
% 6.68/5.35 tff(25665,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25664, 25662])).
% 6.68/5.35 tff(25666,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25667,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 6.68/5.35 tff(25668,plain,
% 6.68/5.35 (~always25(s44)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25667, 15526, 3947])).
% 6.68/5.35 tff(25669,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25670,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25671,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 6.68/5.35 tff(25672,plain,
% 6.68/5.35 ((~always25(s43)) | always25(s44)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25671, 23848, 3873])).
% 6.68/5.35 tff(25673,plain,
% 6.68/5.35 (~always25(s43)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25672, 25668])).
% 6.68/5.35 tff(25674,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25675,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25676,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 6.68/5.35 tff(25677,plain,
% 6.68/5.35 (~node26(s43)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25676, 15543, 25673])).
% 6.68/5.35 tff(25678,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25679,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25680,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25679, 25678])).
% 6.68/5.35 tff(25681,plain,
% 6.68/5.35 ((~always25(s42)) | always25(s43)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25680, 23848, 3798])).
% 6.68/5.35 tff(25682,plain,
% 6.68/5.35 (~always25(s42)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25681, 25673])).
% 6.68/5.35 tff(25683,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25684,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25685,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25684, 25683])).
% 6.68/5.35 tff(25686,plain,
% 6.68/5.35 (~node26(s42)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25685, 15543, 25682])).
% 6.68/5.35 tff(25687,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25688,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25689,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 6.68/5.35 tff(25690,plain,
% 6.68/5.35 (~node26(s41)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25689, 23827, 3723])).
% 6.68/5.35 tff(25691,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25692,plain,
% 6.68/5.35 (((~m_main_v_state2(s40, c_c2)) | (~always25(s40))) <=> ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25693,plain,
% 6.68/5.35 (((~![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))))),
% 6.68/5.35 inference(monotonicity,[status(thm)],[25692])).
% 6.68/5.35 tff(25694,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(transitivity,[status(thm)],[25693, 25691])).
% 6.68/5.35 tff(25695,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25696,plain,
% 6.68/5.35 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25695, 25694])).
% 6.68/5.35 tff(25697,plain,
% 6.68/5.35 (~always25(s40)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25696, 15526, 3587])).
% 6.68/5.35 tff(25698,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25699,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25700,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25699, 25698])).
% 6.68/5.35 tff(25701,plain,
% 6.68/5.35 ((~always25(s39)) | always25(s40)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25700, 23848, 3578])).
% 6.68/5.35 tff(25702,plain,
% 6.68/5.35 (~always25(s39)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25701, 25697])).
% 6.68/5.35 tff(25703,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25704,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25705,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25704, 25703])).
% 6.68/5.35 tff(25706,plain,
% 6.68/5.35 (~node26(s39)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25705, 15543, 25702])).
% 6.68/5.35 tff(25707,plain,
% 6.68/5.35 (((~![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))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25708,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25709,plain,
% 6.68/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39)),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25708, 25707])).
% 6.68/5.35 tff(25710,plain,
% 6.68/5.35 ((~always25(s38)) | always25(s39)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25709, 23848, 3500])).
% 6.68/5.35 tff(25711,plain,
% 6.68/5.35 (~always25(s38)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25710, 25702])).
% 6.68/5.35 tff(25712,plain,
% 6.68/5.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25713,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25714,plain,
% 6.68/5.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38))),
% 6.68/5.35 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 6.68/5.35 tff(25715,plain,
% 6.68/5.35 (~node26(s38)),
% 6.68/5.35 inference(unit_resolution,[status(thm)],[25714, 15543, 25711])).
% 6.68/5.35 tff(25716,plain,
% 6.68/5.35 (((~![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)))),
% 6.68/5.35 inference(rewrite,[status(thm)],[])).
% 6.68/5.35 tff(25717,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 6.68/5.35 inference(quant_inst,[status(thm)],[])).
% 6.68/5.35 tff(25718,plain,
% 6.68/5.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 6.68/5.36 tff(25719,plain,
% 6.68/5.36 (~node26(s37)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25718, 23827, 3390])).
% 6.68/5.36 tff(25720,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25721,plain,
% 6.68/5.36 (((~m_main_v_state2(s36, c_c2)) | (~always25(s36))) <=> ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25722,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25721])).
% 6.68/5.36 tff(25723,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25722, 25720])).
% 6.68/5.36 tff(25724,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25725,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25724, 25723])).
% 6.68/5.36 tff(25726,plain,
% 6.68/5.36 (~always25(s36)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25725, 15526, 3319])).
% 6.68/5.36 tff(25727,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25728,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25729,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25728, 25727])).
% 6.68/5.36 tff(25730,plain,
% 6.68/5.36 ((~always25(s35)) | always25(s36)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25729, 23848, 3245])).
% 6.68/5.36 tff(25731,plain,
% 6.68/5.36 (~always25(s35)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25730, 25726])).
% 6.68/5.36 tff(25732,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25733,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25734,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25733, 25732])).
% 6.68/5.36 tff(25735,plain,
% 6.68/5.36 (~node26(s35)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25734, 15543, 25731])).
% 6.68/5.36 tff(25736,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25737,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25738,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25737, 25736])).
% 6.68/5.36 tff(25739,plain,
% 6.68/5.36 ((~always25(s34)) | always25(s35)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25738, 23848, 3170])).
% 6.68/5.36 tff(25740,plain,
% 6.68/5.36 (~always25(s34)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25739, 25731])).
% 6.68/5.36 tff(25741,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25742,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25743,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 6.68/5.36 tff(25744,plain,
% 6.68/5.36 (~node26(s34)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25743, 15543, 25740])).
% 6.68/5.36 tff(25745,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25746,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25747,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 6.68/5.36 tff(25748,plain,
% 6.68/5.36 (~node26(s33)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25747, 23827, 3095])).
% 6.68/5.36 tff(25749,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25750,plain,
% 6.68/5.36 (((~m_main_v_state2(s32, c_c2)) | (~always25(s32))) <=> ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25751,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25750])).
% 6.68/5.36 tff(25752,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25751, 25749])).
% 6.68/5.36 tff(25753,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25754,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25753, 25752])).
% 6.68/5.36 tff(25755,plain,
% 6.68/5.36 (~always25(s32)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25754, 15526, 2959])).
% 6.68/5.36 tff(25756,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25757,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25758,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 6.68/5.36 tff(25759,plain,
% 6.68/5.36 ((~always25(s31)) | always25(s32)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25758, 23848, 2950])).
% 6.68/5.36 tff(25760,plain,
% 6.68/5.36 (~always25(s31)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25759, 25755])).
% 6.68/5.36 tff(25761,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25762,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25763,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 6.68/5.36 tff(25764,plain,
% 6.68/5.36 (~node26(s31)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25763, 15543, 25760])).
% 6.68/5.36 tff(25765,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25766,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25767,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25766, 25765])).
% 6.68/5.36 tff(25768,plain,
% 6.68/5.36 ((~always25(s30)) | always25(s31)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25767, 23848, 2872])).
% 6.68/5.36 tff(25769,plain,
% 6.68/5.36 (~always25(s30)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25768, 25760])).
% 6.68/5.36 tff(25770,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25771,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25772,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25771, 25770])).
% 6.68/5.36 tff(25773,plain,
% 6.68/5.36 (~node26(s30)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25772, 15543, 25769])).
% 6.68/5.36 tff(25774,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25775,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25776,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25775, 25774])).
% 6.68/5.36 tff(25777,plain,
% 6.68/5.36 (~node26(s29)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25776, 23827, 2762])).
% 6.68/5.36 tff(25778,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25779,plain,
% 6.68/5.36 (((~m_main_v_state2(s28, c_c2)) | (~always25(s28))) <=> ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25780,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25779])).
% 6.68/5.36 tff(25781,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25780, 25778])).
% 6.68/5.36 tff(25782,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25783,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 6.68/5.36 tff(25784,plain,
% 6.68/5.36 (~always25(s28)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25783, 15526, 2691])).
% 6.68/5.36 tff(25785,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25786,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25787,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 6.68/5.36 tff(25788,plain,
% 6.68/5.36 ((~always25(s27)) | always25(s28)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25787, 23848, 2617])).
% 6.68/5.36 tff(25789,plain,
% 6.68/5.36 (~always25(s27)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25788, 25784])).
% 6.68/5.36 tff(25790,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25791,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25792,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25791, 25790])).
% 6.68/5.36 tff(25793,plain,
% 6.68/5.36 (~node26(s27)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25792, 15543, 25789])).
% 6.68/5.36 tff(25794,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25795,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25796,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 6.68/5.36 tff(25797,plain,
% 6.68/5.36 ((~always25(s26)) | always25(s27)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25796, 23848, 2542])).
% 6.68/5.36 tff(25798,plain,
% 6.68/5.36 (~always25(s26)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25797, 25789])).
% 6.68/5.36 tff(25799,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25800,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25801,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 6.68/5.36 tff(25802,plain,
% 6.68/5.36 (~node26(s26)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25801, 15543, 25798])).
% 6.68/5.36 tff(25803,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25804,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25805,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25804, 25803])).
% 6.68/5.36 tff(25806,plain,
% 6.68/5.36 (~node26(s25)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25805, 23827, 2467])).
% 6.68/5.36 tff(25807,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25808,plain,
% 6.68/5.36 (((~m_main_v_state2(s24, c_c2)) | (~always25(s24))) <=> ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25809,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25808])).
% 6.68/5.36 tff(25810,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25809, 25807])).
% 6.68/5.36 tff(25811,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25812,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25811, 25810])).
% 6.68/5.36 tff(25813,plain,
% 6.68/5.36 (~always25(s24)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25812, 15526, 2331])).
% 6.68/5.36 tff(25814,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25815,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25816,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25815, 25814])).
% 6.68/5.36 tff(25817,plain,
% 6.68/5.36 ((~always25(s23)) | always25(s24)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25816, 23848, 2322])).
% 6.68/5.36 tff(25818,plain,
% 6.68/5.36 (~always25(s23)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25817, 25813])).
% 6.68/5.36 tff(25819,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25820,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25821,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25820, 25819])).
% 6.68/5.36 tff(25822,plain,
% 6.68/5.36 (~node26(s23)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25821, 15543, 25818])).
% 6.68/5.36 tff(25823,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25824,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25825,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25824, 25823])).
% 6.68/5.36 tff(25826,plain,
% 6.68/5.36 ((~always25(s22)) | always25(s23)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25825, 23848, 2244])).
% 6.68/5.36 tff(25827,plain,
% 6.68/5.36 (~always25(s22)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25826, 25818])).
% 6.68/5.36 tff(25828,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25829,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25830,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25829, 25828])).
% 6.68/5.36 tff(25831,plain,
% 6.68/5.36 (~node26(s22)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25830, 15543, 25827])).
% 6.68/5.36 tff(25832,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25833,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25834,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 6.68/5.36 tff(25835,plain,
% 6.68/5.36 (~node26(s21)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25834, 23827, 2134])).
% 6.68/5.36 tff(25836,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25837,plain,
% 6.68/5.36 (((~m_main_v_state2(s20, c_c2)) | (~always25(s20))) <=> ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25838,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25837])).
% 6.68/5.36 tff(25839,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25838, 25836])).
% 6.68/5.36 tff(25840,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25841,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 6.68/5.36 tff(25842,plain,
% 6.68/5.36 (~always25(s20)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25841, 15526, 2063])).
% 6.68/5.36 tff(25843,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25844,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25845,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 6.68/5.36 tff(25846,plain,
% 6.68/5.36 ((~always25(s19)) | always25(s20)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25845, 23848, 1989])).
% 6.68/5.36 tff(25847,plain,
% 6.68/5.36 (~always25(s19)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25846, 25842])).
% 6.68/5.36 tff(25848,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25849,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25850,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 6.68/5.36 tff(25851,plain,
% 6.68/5.36 (~node26(s19)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25850, 15543, 25847])).
% 6.68/5.36 tff(25852,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25853,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25854,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 6.68/5.36 tff(25855,plain,
% 6.68/5.36 ((~always25(s18)) | always25(s19)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25854, 23848, 1914])).
% 6.68/5.36 tff(25856,plain,
% 6.68/5.36 (~always25(s18)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25855, 25847])).
% 6.68/5.36 tff(25857,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25858,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25859,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 6.68/5.36 tff(25860,plain,
% 6.68/5.36 (~node26(s18)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25859, 15543, 25856])).
% 6.68/5.36 tff(25861,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25862,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25863,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 6.68/5.36 tff(25864,plain,
% 6.68/5.36 (~node26(s17)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25863, 23827, 1839])).
% 6.68/5.36 tff(25865,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25866,plain,
% 6.68/5.36 (((~m_main_v_state2(s16, c_c2)) | (~always25(s16))) <=> ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25867,plain,
% 6.68/5.36 (((~![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))))),
% 6.68/5.36 inference(monotonicity,[status(thm)],[25866])).
% 6.68/5.36 tff(25868,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(transitivity,[status(thm)],[25867, 25865])).
% 6.68/5.36 tff(25869,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25870,plain,
% 6.68/5.36 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25869, 25868])).
% 6.68/5.36 tff(25871,plain,
% 6.68/5.36 (~always25(s16)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25870, 15526, 1703])).
% 6.68/5.36 tff(25872,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25873,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25874,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25873, 25872])).
% 6.68/5.36 tff(25875,plain,
% 6.68/5.36 ((~always25(s15)) | always25(s16)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25874, 23848, 1694])).
% 6.68/5.36 tff(25876,plain,
% 6.68/5.36 (~always25(s15)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25875, 25871])).
% 6.68/5.36 tff(25877,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25878,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25879,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 6.68/5.36 tff(25880,plain,
% 6.68/5.36 (~node26(s15)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25879, 15543, 25876])).
% 6.68/5.36 tff(25881,plain,
% 6.68/5.36 (((~![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))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25882,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25883,plain,
% 6.68/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15)),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25882, 25881])).
% 6.68/5.36 tff(25884,plain,
% 6.68/5.36 ((~always25(s14)) | always25(s15)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25883, 23848, 1616])).
% 6.68/5.36 tff(25885,plain,
% 6.68/5.36 (~always25(s14)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25884, 25876])).
% 6.68/5.36 tff(25886,plain,
% 6.68/5.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25887,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25888,plain,
% 6.68/5.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 6.68/5.36 tff(25889,plain,
% 6.68/5.36 (~node26(s14)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25888, 15543, 25885])).
% 6.68/5.36 tff(25890,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25891,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 6.68/5.36 inference(quant_inst,[status(thm)],[])).
% 6.68/5.36 tff(25892,plain,
% 6.68/5.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13))),
% 6.68/5.36 inference(modus_ponens,[status(thm)],[25891, 25890])).
% 6.68/5.36 tff(25893,plain,
% 6.68/5.36 (~node26(s13)),
% 6.68/5.36 inference(unit_resolution,[status(thm)],[25892, 23827, 1506])).
% 6.68/5.36 tff(25894,plain,
% 6.68/5.36 (((~![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)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.36 tff(25895,plain,
% 6.68/5.36 (((~m_main_v_state2(s12, c_c2)) | (~always25(s12))) <=> ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 6.68/5.36 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25896,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[25895])).
% 6.68/5.37 tff(25897,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[25896, 25894])).
% 6.68/5.37 tff(25898,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25899,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25898, 25897])).
% 6.68/5.37 tff(25900,plain,
% 6.68/5.37 (~always25(s12)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25899, 15526, 1435])).
% 6.68/5.37 tff(25901,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25902,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25903,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25902, 25901])).
% 6.68/5.37 tff(25904,plain,
% 6.68/5.37 ((~always25(s11)) | always25(s12)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25903, 23848, 1361])).
% 6.68/5.37 tff(25905,plain,
% 6.68/5.37 (~always25(s11)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25904, 25900])).
% 6.68/5.37 tff(25906,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25907,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25908,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 6.68/5.37 tff(25909,plain,
% 6.68/5.37 (~node26(s11)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25908, 15543, 25905])).
% 6.68/5.37 tff(25910,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25911,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25912,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25911, 25910])).
% 6.68/5.37 tff(25913,plain,
% 6.68/5.37 ((~always25(s10)) | always25(s11)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25912, 23848, 1286])).
% 6.68/5.37 tff(25914,plain,
% 6.68/5.37 (~always25(s10)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25913, 25905])).
% 6.68/5.37 tff(25915,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25916,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25917,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 6.68/5.37 tff(25918,plain,
% 6.68/5.37 (~node26(s10)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25917, 15543, 25914])).
% 6.68/5.37 tff(25919,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25920,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25921,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 6.68/5.37 tff(25922,plain,
% 6.68/5.37 (~node26(s9)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25921, 23827, 1211])).
% 6.68/5.37 tff(25923,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25924,plain,
% 6.68/5.37 (((~m_main_v_state2(s8, c_c2)) | (~always25(s8))) <=> ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25925,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[25924])).
% 6.68/5.37 tff(25926,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[25925, 25923])).
% 6.68/5.37 tff(25927,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25928,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 6.68/5.37 tff(25929,plain,
% 6.68/5.37 (~always25(s8)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25928, 15526, 1075])).
% 6.68/5.37 tff(25930,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25931,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25932,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 6.68/5.37 tff(25933,plain,
% 6.68/5.37 ((~always25(s7)) | always25(s8)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25932, 23848, 1066])).
% 6.68/5.37 tff(25934,plain,
% 6.68/5.37 (~always25(s7)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25933, 25929])).
% 6.68/5.37 tff(25935,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25936,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25937,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 6.68/5.37 tff(25938,plain,
% 6.68/5.37 (~node26(s7)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25937, 15543, 25934])).
% 6.68/5.37 tff(25939,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25940,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25941,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25940, 25939])).
% 6.68/5.37 tff(25942,plain,
% 6.68/5.37 ((~always25(s6)) | always25(s7)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25941, 23848, 988])).
% 6.68/5.37 tff(25943,plain,
% 6.68/5.37 (~always25(s6)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25942, 25934])).
% 6.68/5.37 tff(25944,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25945,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25946,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25945, 25944])).
% 6.68/5.37 tff(25947,plain,
% 6.68/5.37 (~node26(s6)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25946, 15543, 25943])).
% 6.68/5.37 tff(25948,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25949,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25950,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 6.68/5.37 tff(25951,plain,
% 6.68/5.37 (~node26(s5)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25950, 23827, 838])).
% 6.68/5.37 tff(25952,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25953,plain,
% 6.68/5.37 (((~m_main_v_state2(s4, c_c2)) | (~always25(s4))) <=> ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25954,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[25953])).
% 6.68/5.37 tff(25955,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[25954, 25952])).
% 6.68/5.37 tff(25956,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25957,plain,
% 6.68/5.37 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25956, 25955])).
% 6.68/5.37 tff(25958,plain,
% 6.68/5.37 (~always25(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25957, 15526, 709])).
% 6.68/5.37 tff(25959,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25960,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25961,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25960, 25959])).
% 6.68/5.37 tff(25962,plain,
% 6.68/5.37 ((~always25(s3)) | always25(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25961, 23848, 584])).
% 6.68/5.37 tff(25963,plain,
% 6.68/5.37 (~always25(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25962, 25958])).
% 6.68/5.37 tff(25964,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25965,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25966,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25965, 25964])).
% 6.68/5.37 tff(25967,plain,
% 6.68/5.37 ((~always25(s2)) | always25(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25966, 23848, 464])).
% 6.68/5.37 tff(25968,plain,
% 6.68/5.37 (~always25(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25967, 25963])).
% 6.68/5.37 tff(25969,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25970,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25971,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 6.68/5.37 tff(25972,plain,
% 6.68/5.37 (~node26(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25971, 15543, 25968])).
% 6.68/5.37 tff(25973,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25974,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25975,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 6.68/5.37 tff(25976,plain,
% 6.68/5.37 ((~always25(s1)) | always25(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25975, 23848, 260])).
% 6.68/5.37 tff(25977,plain,
% 6.68/5.37 (~always25(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25976, 25968])).
% 6.68/5.37 tff(25978,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25979,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25980,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 6.68/5.37 tff(25981,plain,
% 6.68/5.37 (~node26(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25980, 15543, 25977])).
% 6.68/5.37 tff(25982,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25983,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25984,plain,
% 6.68/5.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 6.68/5.37 tff(25985,plain,
% 6.68/5.37 (~node26(s0)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25984, 23827, 14])).
% 6.68/5.37 tff(25986,plain,
% 6.68/5.37 (until27(s0) <=> until27(s0)),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25987,axiom,(until27(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty26')).
% 6.68/5.37 tff(25988,plain,
% 6.68/5.37 (until27(s0)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25987, 25986])).
% 6.68/5.37 tff(25989,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25990,plain,
% 6.68/5.37 ((node26(s0) | (~until27(s0)) | xuntil28(s0)) <=> (xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25991,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[25990])).
% 6.68/5.37 tff(25992,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[25991, 25989])).
% 6.68/5.37 tff(25993,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25994,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25993, 25992])).
% 6.68/5.37 tff(25995,plain,
% 6.68/5.37 (xuntil28(s0) | node26(s0)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25994, 15561, 25988])).
% 6.68/5.37 tff(25996,plain,
% 6.68/5.37 (xuntil28(s0)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25995, 25985])).
% 6.68/5.37 tff(25997,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(25998,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(25999,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[25998, 25997])).
% 6.68/5.37 tff(26000,plain,
% 6.68/5.37 ((~xuntil28(s0)) | until27(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[25999, 60, 15580])).
% 6.68/5.37 tff(26001,plain,
% 6.68/5.37 (until27(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26000, 25996])).
% 6.68/5.37 tff(26002,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26003,plain,
% 6.68/5.37 ((node26(s1) | (~until27(s1)) | xuntil28(s1)) <=> (xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26004,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[26003])).
% 6.68/5.37 tff(26005,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[26004, 26002])).
% 6.68/5.37 tff(26006,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26007,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26006, 26005])).
% 6.68/5.37 tff(26008,plain,
% 6.68/5.37 (xuntil28(s1) | node26(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26007, 15561, 26001])).
% 6.68/5.37 tff(26009,plain,
% 6.68/5.37 (xuntil28(s1)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26008, 25981])).
% 6.68/5.37 tff(26010,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26011,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26012,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 6.68/5.37 tff(26013,plain,
% 6.68/5.37 ((~xuntil28(s1)) | until27(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26012, 256, 15580])).
% 6.68/5.37 tff(26014,plain,
% 6.68/5.37 (until27(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26013, 26009])).
% 6.68/5.37 tff(26015,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26016,plain,
% 6.68/5.37 ((node26(s2) | (~until27(s2)) | xuntil28(s2)) <=> (xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26017,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[26016])).
% 6.68/5.37 tff(26018,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[26017, 26015])).
% 6.68/5.37 tff(26019,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26020,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26019, 26018])).
% 6.68/5.37 tff(26021,plain,
% 6.68/5.37 (xuntil28(s2)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26020, 15561, 26014, 25972])).
% 6.68/5.37 tff(26022,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26023,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26024,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 6.68/5.37 tff(26025,plain,
% 6.68/5.37 ((~xuntil28(s2)) | until27(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26024, 460, 15580])).
% 6.68/5.37 tff(26026,plain,
% 6.68/5.37 (until27(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26025, 26021])).
% 6.68/5.37 tff(26027,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26028,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26029,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 6.68/5.37 tff(26030,plain,
% 6.68/5.37 (~node26(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26029, 15543, 25963])).
% 6.68/5.37 tff(26031,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26032,plain,
% 6.68/5.37 ((node26(s3) | (~until27(s3)) | xuntil28(s3)) <=> (xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26033,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[26032])).
% 6.68/5.37 tff(26034,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[26033, 26031])).
% 6.68/5.37 tff(26035,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26036,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 6.68/5.37 tff(26037,plain,
% 6.68/5.37 (xuntil28(s3) | (~until27(s3))),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26036, 15561, 26030])).
% 6.68/5.37 tff(26038,plain,
% 6.68/5.37 (xuntil28(s3)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26037, 26026])).
% 6.68/5.37 tff(26039,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26040,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26041,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 6.68/5.37 tff(26042,plain,
% 6.68/5.37 ((~xuntil28(s3)) | until27(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26041, 580, 15580])).
% 6.68/5.37 tff(26043,plain,
% 6.68/5.37 (until27(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26042, 26038])).
% 6.68/5.37 tff(26044,plain,
% 6.68/5.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26045,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26046,plain,
% 6.68/5.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26045, 26044])).
% 6.68/5.37 tff(26047,plain,
% 6.68/5.37 (~node26(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26046, 15543, 25958])).
% 6.68/5.37 tff(26048,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26049,plain,
% 6.68/5.37 ((node26(s4) | (~until27(s4)) | xuntil28(s4)) <=> (xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26050,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[26049])).
% 6.68/5.37 tff(26051,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[26050, 26048])).
% 6.68/5.37 tff(26052,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26053,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 6.68/5.37 tff(26054,plain,
% 6.68/5.37 (xuntil28(s4) | (~until27(s4))),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26053, 15561, 26047])).
% 6.68/5.37 tff(26055,plain,
% 6.68/5.37 (xuntil28(s4)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26054, 26043])).
% 6.68/5.37 tff(26056,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26057,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26058,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5)),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26057, 26056])).
% 6.68/5.37 tff(26059,plain,
% 6.68/5.37 ((~xuntil28(s4)) | until27(s5)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26058, 727, 15580])).
% 6.68/5.37 tff(26060,plain,
% 6.68/5.37 (until27(s5)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26059, 26055])).
% 6.68/5.37 tff(26061,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26062,plain,
% 6.68/5.37 ((node26(s5) | (~until27(s5)) | xuntil28(s5)) <=> (xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26063,plain,
% 6.68/5.37 (((~![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))))),
% 6.68/5.37 inference(monotonicity,[status(thm)],[26062])).
% 6.68/5.37 tff(26064,plain,
% 6.68/5.37 (((~![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)))),
% 6.68/5.37 inference(transitivity,[status(thm)],[26063, 26061])).
% 6.68/5.37 tff(26065,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))),
% 6.68/5.37 inference(quant_inst,[status(thm)],[])).
% 6.68/5.37 tff(26066,plain,
% 6.68/5.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5))),
% 6.68/5.37 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 6.68/5.37 tff(26067,plain,
% 6.68/5.37 (xuntil28(s5)),
% 6.68/5.37 inference(unit_resolution,[status(thm)],[26066, 15561, 26060, 25951])).
% 6.68/5.37 tff(26068,plain,
% 6.68/5.37 (((~![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))),
% 6.68/5.37 inference(rewrite,[status(thm)],[])).
% 6.68/5.37 tff(26069,plain,
% 6.68/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26070,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26069, 26068])).
% 6.68/5.38 tff(26071,plain,
% 6.68/5.38 ((~xuntil28(s5)) | until27(s6)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26070, 845, 15580])).
% 6.68/5.38 tff(26072,plain,
% 6.68/5.38 (until27(s6)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26071, 26067])).
% 6.68/5.38 tff(26073,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26074,plain,
% 6.68/5.38 ((node26(s6) | (~until27(s6)) | xuntil28(s6)) <=> (xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26075,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26074])).
% 6.68/5.38 tff(26076,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26075, 26073])).
% 6.68/5.38 tff(26077,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26078,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 6.68/5.38 tff(26079,plain,
% 6.68/5.38 (xuntil28(s6) | node26(s6)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26078, 15561, 26072])).
% 6.68/5.38 tff(26080,plain,
% 6.68/5.38 (xuntil28(s6)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26079, 25947])).
% 6.68/5.38 tff(26081,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26082,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26083,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 6.68/5.38 tff(26084,plain,
% 6.68/5.38 ((~xuntil28(s6)) | until27(s7)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26083, 984, 15580])).
% 6.68/5.38 tff(26085,plain,
% 6.68/5.38 (until27(s7)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26084, 26080])).
% 6.68/5.38 tff(26086,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26087,plain,
% 6.68/5.38 ((node26(s7) | (~until27(s7)) | xuntil28(s7)) <=> (xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26088,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26087])).
% 6.68/5.38 tff(26089,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26088, 26086])).
% 6.68/5.38 tff(26090,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26091,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 6.68/5.38 tff(26092,plain,
% 6.68/5.38 (xuntil28(s7)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26091, 15561, 26085, 25938])).
% 6.68/5.38 tff(26093,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26094,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26095,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 6.68/5.38 tff(26096,plain,
% 6.68/5.38 ((~xuntil28(s7)) | until27(s8)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26095, 1062, 15580])).
% 6.68/5.38 tff(26097,plain,
% 6.68/5.38 (until27(s8)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26096, 26092])).
% 6.68/5.38 tff(26098,plain,
% 6.68/5.38 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26099,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26100,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26099, 26098])).
% 6.68/5.38 tff(26101,plain,
% 6.68/5.38 (~node26(s8)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26100, 15543, 25929])).
% 6.68/5.38 tff(26102,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26103,plain,
% 6.68/5.38 ((node26(s8) | (~until27(s8)) | xuntil28(s8)) <=> (xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26104,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26103])).
% 6.68/5.38 tff(26105,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26104, 26102])).
% 6.68/5.38 tff(26106,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26107,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 6.68/5.38 tff(26108,plain,
% 6.68/5.38 (xuntil28(s8) | (~until27(s8))),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26107, 15561, 26101])).
% 6.68/5.38 tff(26109,plain,
% 6.68/5.38 (xuntil28(s8)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26108, 26097])).
% 6.68/5.38 tff(26110,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26111,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26112,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 6.68/5.38 tff(26113,plain,
% 6.68/5.38 ((~xuntil28(s8)) | until27(s9)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26112, 1123, 15580])).
% 6.68/5.38 tff(26114,plain,
% 6.68/5.38 (until27(s9)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26113, 26109])).
% 6.68/5.38 tff(26115,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26116,plain,
% 6.68/5.38 ((node26(s9) | (~until27(s9)) | xuntil28(s9)) <=> (xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26117,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26116])).
% 6.68/5.38 tff(26118,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26117, 26115])).
% 6.68/5.38 tff(26119,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26120,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 6.68/5.38 tff(26121,plain,
% 6.68/5.38 (xuntil28(s9)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26120, 15561, 26114, 25922])).
% 6.68/5.38 tff(26122,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26123,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26124,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26123, 26122])).
% 6.68/5.38 tff(26125,plain,
% 6.68/5.38 ((~xuntil28(s9)) | until27(s10)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26124, 1218, 15580])).
% 6.68/5.38 tff(26126,plain,
% 6.68/5.38 (until27(s10)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26125, 26121])).
% 6.68/5.38 tff(26127,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26128,plain,
% 6.68/5.38 ((node26(s10) | (~until27(s10)) | xuntil28(s10)) <=> (xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26129,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26128])).
% 6.68/5.38 tff(26130,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26129, 26127])).
% 6.68/5.38 tff(26131,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26132,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 6.68/5.38 tff(26133,plain,
% 6.68/5.38 (xuntil28(s10) | node26(s10)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26132, 15561, 26126])).
% 6.68/5.38 tff(26134,plain,
% 6.68/5.38 (xuntil28(s10)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26133, 25918])).
% 6.68/5.38 tff(26135,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26136,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26137,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 6.68/5.38 tff(26138,plain,
% 6.68/5.38 ((~xuntil28(s10)) | until27(s11)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26137, 1282, 15580])).
% 6.68/5.38 tff(26139,plain,
% 6.68/5.38 (until27(s11)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26138, 26134])).
% 6.68/5.38 tff(26140,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26141,plain,
% 6.68/5.38 ((node26(s11) | (~until27(s11)) | xuntil28(s11)) <=> (xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26142,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26141])).
% 6.68/5.38 tff(26143,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26142, 26140])).
% 6.68/5.38 tff(26144,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26145,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 6.68/5.38 tff(26146,plain,
% 6.68/5.38 (xuntil28(s11)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26145, 15561, 26139, 25909])).
% 6.68/5.38 tff(26147,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26148,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26149,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 6.68/5.38 tff(26150,plain,
% 6.68/5.38 ((~xuntil28(s11)) | until27(s12)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26149, 1357, 15580])).
% 6.68/5.38 tff(26151,plain,
% 6.68/5.38 (until27(s12)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26150, 26146])).
% 6.68/5.38 tff(26152,plain,
% 6.68/5.38 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26153,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26154,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 6.68/5.38 tff(26155,plain,
% 6.68/5.38 (~node26(s12)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26154, 15543, 25900])).
% 6.68/5.38 tff(26156,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26157,plain,
% 6.68/5.38 ((node26(s12) | (~until27(s12)) | xuntil28(s12)) <=> (xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26158,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26157])).
% 6.68/5.38 tff(26159,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26158, 26156])).
% 6.68/5.38 tff(26160,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26161,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 6.68/5.38 tff(26162,plain,
% 6.68/5.38 (xuntil28(s12) | (~until27(s12))),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26161, 15561, 26155])).
% 6.68/5.38 tff(26163,plain,
% 6.68/5.38 (xuntil28(s12)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26162, 26151])).
% 6.68/5.38 tff(26164,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26165,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26166,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 6.68/5.38 tff(26167,plain,
% 6.68/5.38 ((~xuntil28(s12)) | until27(s13)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26166, 1446, 15580])).
% 6.68/5.38 tff(26168,plain,
% 6.68/5.38 (until27(s13)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26167, 26163])).
% 6.68/5.38 tff(26169,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26170,plain,
% 6.68/5.38 ((node26(s13) | (~until27(s13)) | xuntil28(s13)) <=> (xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26171,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26170])).
% 6.68/5.38 tff(26172,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26171, 26169])).
% 6.68/5.38 tff(26173,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26174,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26173, 26172])).
% 6.68/5.38 tff(26175,plain,
% 6.68/5.38 (xuntil28(s13)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26174, 15561, 26168, 25893])).
% 6.68/5.38 tff(26176,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26177,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26178,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26177, 26176])).
% 6.68/5.38 tff(26179,plain,
% 6.68/5.38 ((~xuntil28(s13)) | until27(s14)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26178, 1513, 15580])).
% 6.68/5.38 tff(26180,plain,
% 6.68/5.38 (until27(s14)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26179, 26175])).
% 6.68/5.38 tff(26181,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26182,plain,
% 6.68/5.38 ((node26(s14) | (~until27(s14)) | xuntil28(s14)) <=> (xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26183,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26182])).
% 6.68/5.38 tff(26184,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26183, 26181])).
% 6.68/5.38 tff(26185,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26186,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26185, 26184])).
% 6.68/5.38 tff(26187,plain,
% 6.68/5.38 (xuntil28(s14) | node26(s14)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26186, 15561, 26180])).
% 6.68/5.38 tff(26188,plain,
% 6.68/5.38 (xuntil28(s14)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26187, 25889])).
% 6.68/5.38 tff(26189,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26190,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26191,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 6.68/5.38 tff(26192,plain,
% 6.68/5.38 ((~xuntil28(s14)) | until27(s15)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26191, 1612, 15580])).
% 6.68/5.38 tff(26193,plain,
% 6.68/5.38 (until27(s15)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26192, 26188])).
% 6.68/5.38 tff(26194,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26195,plain,
% 6.68/5.38 ((node26(s15) | (~until27(s15)) | xuntil28(s15)) <=> (xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26196,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26195])).
% 6.68/5.38 tff(26197,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26196, 26194])).
% 6.68/5.38 tff(26198,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26199,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26198, 26197])).
% 6.68/5.38 tff(26200,plain,
% 6.68/5.38 (xuntil28(s15)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26199, 15561, 26193, 25880])).
% 6.68/5.38 tff(26201,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26202,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26203,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 6.68/5.38 tff(26204,plain,
% 6.68/5.38 ((~xuntil28(s15)) | until27(s16)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26203, 1690, 15580])).
% 6.68/5.38 tff(26205,plain,
% 6.68/5.38 (until27(s16)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26204, 26200])).
% 6.68/5.38 tff(26206,plain,
% 6.68/5.38 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26207,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26208,plain,
% 6.68/5.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 6.68/5.38 tff(26209,plain,
% 6.68/5.38 (~node26(s16)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26208, 15543, 25871])).
% 6.68/5.38 tff(26210,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26211,plain,
% 6.68/5.38 ((node26(s16) | (~until27(s16)) | xuntil28(s16)) <=> (xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26212,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26211])).
% 6.68/5.38 tff(26213,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26212, 26210])).
% 6.68/5.38 tff(26214,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26215,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 6.68/5.38 tff(26216,plain,
% 6.68/5.38 (xuntil28(s16) | (~until27(s16))),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26215, 15561, 26209])).
% 6.68/5.38 tff(26217,plain,
% 6.68/5.38 (xuntil28(s16)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26216, 26205])).
% 6.68/5.38 tff(26218,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26219,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26220,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26219, 26218])).
% 6.68/5.38 tff(26221,plain,
% 6.68/5.38 ((~xuntil28(s16)) | until27(s17)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26220, 1751, 15580])).
% 6.68/5.38 tff(26222,plain,
% 6.68/5.38 (until27(s17)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26221, 26217])).
% 6.68/5.38 tff(26223,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26224,plain,
% 6.68/5.38 ((node26(s17) | (~until27(s17)) | xuntil28(s17)) <=> (xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26225,plain,
% 6.68/5.38 (((~![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))))),
% 6.68/5.38 inference(monotonicity,[status(thm)],[26224])).
% 6.68/5.38 tff(26226,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(transitivity,[status(thm)],[26225, 26223])).
% 6.68/5.38 tff(26227,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26228,plain,
% 6.68/5.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17))),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 6.68/5.38 tff(26229,plain,
% 6.68/5.38 (xuntil28(s17)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26228, 15561, 26222, 25864])).
% 6.68/5.38 tff(26230,plain,
% 6.68/5.38 (((~![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))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26231,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 6.68/5.38 inference(quant_inst,[status(thm)],[])).
% 6.68/5.38 tff(26232,plain,
% 6.68/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18)),
% 6.68/5.38 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 6.68/5.38 tff(26233,plain,
% 6.68/5.38 ((~xuntil28(s17)) | until27(s18)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26232, 1846, 15580])).
% 6.68/5.38 tff(26234,plain,
% 6.68/5.38 (until27(s18)),
% 6.68/5.38 inference(unit_resolution,[status(thm)],[26233, 26229])).
% 6.68/5.38 tff(26235,plain,
% 6.68/5.38 (((~![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)))),
% 6.68/5.38 inference(rewrite,[status(thm)],[])).
% 6.68/5.38 tff(26236,plain,
% 6.68/5.38 ((node26(s18) | (~until27(s18)) | xuntil28(s18)) <=> (xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26237,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26236])).
% 6.68/5.39 tff(26238,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26237, 26235])).
% 6.68/5.39 tff(26239,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26240,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 6.68/5.39 tff(26241,plain,
% 6.68/5.39 (xuntil28(s18) | node26(s18)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26240, 15561, 26234])).
% 6.68/5.39 tff(26242,plain,
% 6.68/5.39 (xuntil28(s18)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26241, 25860])).
% 6.68/5.39 tff(26243,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26244,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26245,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 6.68/5.39 tff(26246,plain,
% 6.68/5.39 ((~xuntil28(s18)) | until27(s19)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26245, 1910, 15580])).
% 6.68/5.39 tff(26247,plain,
% 6.68/5.39 (until27(s19)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26246, 26242])).
% 6.68/5.39 tff(26248,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26249,plain,
% 6.68/5.39 ((node26(s19) | (~until27(s19)) | xuntil28(s19)) <=> (xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26250,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26249])).
% 6.68/5.39 tff(26251,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26250, 26248])).
% 6.68/5.39 tff(26252,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26253,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 6.68/5.39 tff(26254,plain,
% 6.68/5.39 (xuntil28(s19)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26253, 15561, 26247, 25851])).
% 6.68/5.39 tff(26255,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26256,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26257,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 6.68/5.39 tff(26258,plain,
% 6.68/5.39 ((~xuntil28(s19)) | until27(s20)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26257, 1985, 15580])).
% 6.68/5.39 tff(26259,plain,
% 6.68/5.39 (until27(s20)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26258, 26254])).
% 6.68/5.39 tff(26260,plain,
% 6.68/5.39 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26261,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26262,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 6.68/5.39 tff(26263,plain,
% 6.68/5.39 (~node26(s20)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26262, 15543, 25842])).
% 6.68/5.39 tff(26264,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26265,plain,
% 6.68/5.39 ((node26(s20) | (~until27(s20)) | xuntil28(s20)) <=> (xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26266,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26265])).
% 6.68/5.39 tff(26267,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26266, 26264])).
% 6.68/5.39 tff(26268,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26269,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26268, 26267])).
% 6.68/5.39 tff(26270,plain,
% 6.68/5.39 (xuntil28(s20) | (~until27(s20))),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26269, 15561, 26263])).
% 6.68/5.39 tff(26271,plain,
% 6.68/5.39 (xuntil28(s20)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26270, 26259])).
% 6.68/5.39 tff(26272,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26273,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26274,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 6.68/5.39 tff(26275,plain,
% 6.68/5.39 ((~xuntil28(s20)) | until27(s21)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26274, 2074, 15580])).
% 6.68/5.39 tff(26276,plain,
% 6.68/5.39 (until27(s21)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26275, 26271])).
% 6.68/5.39 tff(26277,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26278,plain,
% 6.68/5.39 ((node26(s21) | (~until27(s21)) | xuntil28(s21)) <=> (xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26279,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26278])).
% 6.68/5.39 tff(26280,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26279, 26277])).
% 6.68/5.39 tff(26281,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26282,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 6.68/5.39 tff(26283,plain,
% 6.68/5.39 (xuntil28(s21)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26282, 15561, 26276, 25835])).
% 6.68/5.39 tff(26284,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26285,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26286,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26285, 26284])).
% 6.68/5.39 tff(26287,plain,
% 6.68/5.39 ((~xuntil28(s21)) | until27(s22)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26286, 2141, 15580])).
% 6.68/5.39 tff(26288,plain,
% 6.68/5.39 (until27(s22)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26287, 26283])).
% 6.68/5.39 tff(26289,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26290,plain,
% 6.68/5.39 ((node26(s22) | (~until27(s22)) | xuntil28(s22)) <=> (xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26291,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26290])).
% 6.68/5.39 tff(26292,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26291, 26289])).
% 6.68/5.39 tff(26293,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26294,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 6.68/5.39 tff(26295,plain,
% 6.68/5.39 (xuntil28(s22) | node26(s22)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26294, 15561, 26288])).
% 6.68/5.39 tff(26296,plain,
% 6.68/5.39 (xuntil28(s22)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26295, 25831])).
% 6.68/5.39 tff(26297,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26298,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26299,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 6.68/5.39 tff(26300,plain,
% 6.68/5.39 ((~xuntil28(s22)) | until27(s23)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26299, 2240, 15580])).
% 6.68/5.39 tff(26301,plain,
% 6.68/5.39 (until27(s23)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26300, 26296])).
% 6.68/5.39 tff(26302,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26303,plain,
% 6.68/5.39 ((node26(s23) | (~until27(s23)) | xuntil28(s23)) <=> (xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26304,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26303])).
% 6.68/5.39 tff(26305,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26304, 26302])).
% 6.68/5.39 tff(26306,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26307,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26306, 26305])).
% 6.68/5.39 tff(26308,plain,
% 6.68/5.39 (xuntil28(s23)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26307, 15561, 26301, 25822])).
% 6.68/5.39 tff(26309,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26310,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26311,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 6.68/5.39 tff(26312,plain,
% 6.68/5.39 ((~xuntil28(s23)) | until27(s24)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26311, 2318, 15580])).
% 6.68/5.39 tff(26313,plain,
% 6.68/5.39 (until27(s24)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26312, 26308])).
% 6.68/5.39 tff(26314,plain,
% 6.68/5.39 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26315,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26316,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26315, 26314])).
% 6.68/5.39 tff(26317,plain,
% 6.68/5.39 (~node26(s24)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26316, 15543, 25813])).
% 6.68/5.39 tff(26318,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26319,plain,
% 6.68/5.39 ((node26(s24) | (~until27(s24)) | xuntil28(s24)) <=> (xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26320,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26319])).
% 6.68/5.39 tff(26321,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26320, 26318])).
% 6.68/5.39 tff(26322,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26323,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 6.68/5.39 tff(26324,plain,
% 6.68/5.39 (xuntil28(s24) | (~until27(s24))),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26323, 15561, 26317])).
% 6.68/5.39 tff(26325,plain,
% 6.68/5.39 (xuntil28(s24)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26324, 26313])).
% 6.68/5.39 tff(26326,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26327,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26328,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26327, 26326])).
% 6.68/5.39 tff(26329,plain,
% 6.68/5.39 ((~xuntil28(s24)) | until27(s25)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26328, 2379, 15580])).
% 6.68/5.39 tff(26330,plain,
% 6.68/5.39 (until27(s25)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26329, 26325])).
% 6.68/5.39 tff(26331,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26332,plain,
% 6.68/5.39 ((node26(s25) | (~until27(s25)) | xuntil28(s25)) <=> (xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26333,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26332])).
% 6.68/5.39 tff(26334,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26333, 26331])).
% 6.68/5.39 tff(26335,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26336,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26335, 26334])).
% 6.68/5.39 tff(26337,plain,
% 6.68/5.39 (xuntil28(s25)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26336, 15561, 26330, 25806])).
% 6.68/5.39 tff(26338,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26339,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26340,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26339, 26338])).
% 6.68/5.39 tff(26341,plain,
% 6.68/5.39 ((~xuntil28(s25)) | until27(s26)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26340, 2474, 15580])).
% 6.68/5.39 tff(26342,plain,
% 6.68/5.39 (until27(s26)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26341, 26337])).
% 6.68/5.39 tff(26343,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26344,plain,
% 6.68/5.39 ((node26(s26) | (~until27(s26)) | xuntil28(s26)) <=> (xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26345,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26344])).
% 6.68/5.39 tff(26346,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26345, 26343])).
% 6.68/5.39 tff(26347,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26348,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26347, 26346])).
% 6.68/5.39 tff(26349,plain,
% 6.68/5.39 (xuntil28(s26) | node26(s26)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26348, 15561, 26342])).
% 6.68/5.39 tff(26350,plain,
% 6.68/5.39 (xuntil28(s26)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26349, 25802])).
% 6.68/5.39 tff(26351,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26352,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26353,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26352, 26351])).
% 6.68/5.39 tff(26354,plain,
% 6.68/5.39 ((~xuntil28(s26)) | until27(s27)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26353, 2538, 15580])).
% 6.68/5.39 tff(26355,plain,
% 6.68/5.39 (until27(s27)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26354, 26350])).
% 6.68/5.39 tff(26356,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26357,plain,
% 6.68/5.39 ((node26(s27) | (~until27(s27)) | xuntil28(s27)) <=> (xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26358,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26357])).
% 6.68/5.39 tff(26359,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26358, 26356])).
% 6.68/5.39 tff(26360,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26361,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 6.68/5.39 tff(26362,plain,
% 6.68/5.39 (xuntil28(s27)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26361, 15561, 26355, 25793])).
% 6.68/5.39 tff(26363,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26364,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26365,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 6.68/5.39 tff(26366,plain,
% 6.68/5.39 ((~xuntil28(s27)) | until27(s28)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26365, 2613, 15580])).
% 6.68/5.39 tff(26367,plain,
% 6.68/5.39 (until27(s28)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26366, 26362])).
% 6.68/5.39 tff(26368,plain,
% 6.68/5.39 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26369,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26370,plain,
% 6.68/5.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 6.68/5.39 tff(26371,plain,
% 6.68/5.39 (~node26(s28)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26370, 15543, 25784])).
% 6.68/5.39 tff(26372,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26373,plain,
% 6.68/5.39 ((node26(s28) | (~until27(s28)) | xuntil28(s28)) <=> (xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26374,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26373])).
% 6.68/5.39 tff(26375,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26374, 26372])).
% 6.68/5.39 tff(26376,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26377,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 6.68/5.39 tff(26378,plain,
% 6.68/5.39 (xuntil28(s28) | (~until27(s28))),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26377, 15561, 26371])).
% 6.68/5.39 tff(26379,plain,
% 6.68/5.39 (xuntil28(s28)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26378, 26367])).
% 6.68/5.39 tff(26380,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26381,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26382,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26381, 26380])).
% 6.68/5.39 tff(26383,plain,
% 6.68/5.39 ((~xuntil28(s28)) | until27(s29)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26382, 2702, 15580])).
% 6.68/5.39 tff(26384,plain,
% 6.68/5.39 (until27(s29)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26383, 26379])).
% 6.68/5.39 tff(26385,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26386,plain,
% 6.68/5.39 ((node26(s29) | (~until27(s29)) | xuntil28(s29)) <=> (xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26387,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26386])).
% 6.68/5.39 tff(26388,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26387, 26385])).
% 6.68/5.39 tff(26389,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26390,plain,
% 6.68/5.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29))),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 6.68/5.39 tff(26391,plain,
% 6.68/5.39 (xuntil28(s29)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26390, 15561, 26384, 25777])).
% 6.68/5.39 tff(26392,plain,
% 6.68/5.39 (((~![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))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26393,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 6.68/5.39 inference(quant_inst,[status(thm)],[])).
% 6.68/5.39 tff(26394,plain,
% 6.68/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30)),
% 6.68/5.39 inference(modus_ponens,[status(thm)],[26393, 26392])).
% 6.68/5.39 tff(26395,plain,
% 6.68/5.39 ((~xuntil28(s29)) | until27(s30)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26394, 2769, 15580])).
% 6.68/5.39 tff(26396,plain,
% 6.68/5.39 (until27(s30)),
% 6.68/5.39 inference(unit_resolution,[status(thm)],[26395, 26391])).
% 6.68/5.39 tff(26397,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26398,plain,
% 6.68/5.39 ((node26(s30) | (~until27(s30)) | xuntil28(s30)) <=> (xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 6.68/5.39 inference(rewrite,[status(thm)],[])).
% 6.68/5.39 tff(26399,plain,
% 6.68/5.39 (((~![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))))),
% 6.68/5.39 inference(monotonicity,[status(thm)],[26398])).
% 6.68/5.39 tff(26400,plain,
% 6.68/5.39 (((~![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)))),
% 6.68/5.39 inference(transitivity,[status(thm)],[26399, 26397])).
% 6.68/5.40 tff(26401,plain,
% 6.68/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))),
% 6.68/5.40 inference(quant_inst,[status(thm)],[])).
% 6.68/5.40 tff(26402,plain,
% 6.68/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30))),
% 6.68/5.40 inference(modus_ponens,[status(thm)],[26401, 26400])).
% 6.68/5.40 tff(26403,plain,
% 6.68/5.40 (xuntil28(s30) | node26(s30)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26402, 15561, 26396])).
% 6.68/5.40 tff(26404,plain,
% 6.68/5.40 (xuntil28(s30)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26403, 25773])).
% 6.68/5.40 tff(26405,plain,
% 6.68/5.40 (((~![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))),
% 6.68/5.40 inference(rewrite,[status(thm)],[])).
% 6.68/5.40 tff(26406,plain,
% 6.68/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 6.68/5.40 inference(quant_inst,[status(thm)],[])).
% 6.68/5.40 tff(26407,plain,
% 6.68/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31)),
% 6.68/5.40 inference(modus_ponens,[status(thm)],[26406, 26405])).
% 6.68/5.40 tff(26408,plain,
% 6.68/5.40 ((~xuntil28(s30)) | until27(s31)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26407, 2868, 15580])).
% 6.68/5.40 tff(26409,plain,
% 6.68/5.40 (until27(s31)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26408, 26404])).
% 6.68/5.40 tff(26410,plain,
% 6.68/5.40 (((~![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)))),
% 6.68/5.40 inference(rewrite,[status(thm)],[])).
% 6.68/5.40 tff(26411,plain,
% 6.68/5.40 ((node26(s31) | (~until27(s31)) | xuntil28(s31)) <=> (xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 6.68/5.40 inference(rewrite,[status(thm)],[])).
% 6.68/5.40 tff(26412,plain,
% 6.68/5.40 (((~![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))))),
% 6.68/5.40 inference(monotonicity,[status(thm)],[26411])).
% 6.68/5.40 tff(26413,plain,
% 6.68/5.40 (((~![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)))),
% 6.68/5.40 inference(transitivity,[status(thm)],[26412, 26410])).
% 6.68/5.40 tff(26414,plain,
% 6.68/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))),
% 6.68/5.40 inference(quant_inst,[status(thm)],[])).
% 6.68/5.40 tff(26415,plain,
% 6.68/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31))),
% 6.68/5.40 inference(modus_ponens,[status(thm)],[26414, 26413])).
% 6.68/5.40 tff(26416,plain,
% 6.68/5.40 (xuntil28(s31)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26415, 15561, 26409, 25764])).
% 6.68/5.40 tff(26417,plain,
% 6.68/5.40 (((~![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))),
% 6.68/5.40 inference(rewrite,[status(thm)],[])).
% 6.68/5.40 tff(26418,plain,
% 6.68/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 6.68/5.40 inference(quant_inst,[status(thm)],[])).
% 6.68/5.40 tff(26419,plain,
% 6.68/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32)),
% 6.68/5.40 inference(modus_ponens,[status(thm)],[26418, 26417])).
% 6.68/5.40 tff(26420,plain,
% 6.68/5.40 ((~xuntil28(s31)) | until27(s32)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26419, 2946, 15580])).
% 6.68/5.40 tff(26421,plain,
% 6.68/5.40 (until27(s32)),
% 6.68/5.40 inference(unit_resolution,[status(thm)],[26420, 26416])).
% 6.68/5.40 tff(26422,plain,
% 6.68/5.40 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26423,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26424,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26423, 26422])).
% 6.76/5.40 tff(26425,plain,
% 6.76/5.40 (~node26(s32)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26424, 15543, 25755])).
% 6.76/5.40 tff(26426,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26427,plain,
% 6.76/5.40 ((node26(s32) | (~until27(s32)) | xuntil28(s32)) <=> (xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26428,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26427])).
% 6.76/5.40 tff(26429,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26428, 26426])).
% 6.76/5.40 tff(26430,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26431,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 6.76/5.40 tff(26432,plain,
% 6.76/5.40 (xuntil28(s32) | (~until27(s32))),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26431, 15561, 26425])).
% 6.76/5.40 tff(26433,plain,
% 6.76/5.40 (xuntil28(s32)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26432, 26421])).
% 6.76/5.40 tff(26434,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26435,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26436,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26435, 26434])).
% 6.76/5.40 tff(26437,plain,
% 6.76/5.40 ((~xuntil28(s32)) | until27(s33)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26436, 3007, 15580])).
% 6.76/5.40 tff(26438,plain,
% 6.76/5.40 (until27(s33)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26437, 26433])).
% 6.76/5.40 tff(26439,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26440,plain,
% 6.76/5.40 ((node26(s33) | (~until27(s33)) | xuntil28(s33)) <=> (xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26441,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26440])).
% 6.76/5.40 tff(26442,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26441, 26439])).
% 6.76/5.40 tff(26443,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26444,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 6.76/5.40 tff(26445,plain,
% 6.76/5.40 (xuntil28(s33)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26444, 15561, 26438, 25748])).
% 6.76/5.40 tff(26446,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26447,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26448,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 6.76/5.40 tff(26449,plain,
% 6.76/5.40 ((~xuntil28(s33)) | until27(s34)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26448, 3102, 15580])).
% 6.76/5.40 tff(26450,plain,
% 6.76/5.40 (until27(s34)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26449, 26445])).
% 6.76/5.40 tff(26451,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26452,plain,
% 6.76/5.40 ((node26(s34) | (~until27(s34)) | xuntil28(s34)) <=> (xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26453,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26452])).
% 6.76/5.40 tff(26454,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26453, 26451])).
% 6.76/5.40 tff(26455,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26456,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 6.76/5.40 tff(26457,plain,
% 6.76/5.40 (xuntil28(s34) | node26(s34)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26456, 15561, 26450])).
% 6.76/5.40 tff(26458,plain,
% 6.76/5.40 (xuntil28(s34)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26457, 25744])).
% 6.76/5.40 tff(26459,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26460,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26461,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 6.76/5.40 tff(26462,plain,
% 6.76/5.40 ((~xuntil28(s34)) | until27(s35)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26461, 3166, 15580])).
% 6.76/5.40 tff(26463,plain,
% 6.76/5.40 (until27(s35)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26462, 26458])).
% 6.76/5.40 tff(26464,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26465,plain,
% 6.76/5.40 ((node26(s35) | (~until27(s35)) | xuntil28(s35)) <=> (xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26466,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26465])).
% 6.76/5.40 tff(26467,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26466, 26464])).
% 6.76/5.40 tff(26468,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26469,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 6.76/5.40 tff(26470,plain,
% 6.76/5.40 (xuntil28(s35)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26469, 15561, 26463, 25735])).
% 6.76/5.40 tff(26471,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26472,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26473,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 6.76/5.40 tff(26474,plain,
% 6.76/5.40 ((~xuntil28(s35)) | until27(s36)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26473, 3241, 15580])).
% 6.76/5.40 tff(26475,plain,
% 6.76/5.40 (until27(s36)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26474, 26470])).
% 6.76/5.40 tff(26476,plain,
% 6.76/5.40 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26477,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26478,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 6.76/5.40 tff(26479,plain,
% 6.76/5.40 (~node26(s36)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26478, 15543, 25726])).
% 6.76/5.40 tff(26480,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26481,plain,
% 6.76/5.40 ((node26(s36) | (~until27(s36)) | xuntil28(s36)) <=> (xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26482,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26481])).
% 6.76/5.40 tff(26483,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26482, 26480])).
% 6.76/5.40 tff(26484,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26485,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 6.76/5.40 tff(26486,plain,
% 6.76/5.40 (xuntil28(s36) | (~until27(s36))),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26485, 15561, 26479])).
% 6.76/5.40 tff(26487,plain,
% 6.76/5.40 (xuntil28(s36)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26486, 26475])).
% 6.76/5.40 tff(26488,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26489,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26490,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26489, 26488])).
% 6.76/5.40 tff(26491,plain,
% 6.76/5.40 ((~xuntil28(s36)) | until27(s37)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26490, 3330, 15580])).
% 6.76/5.40 tff(26492,plain,
% 6.76/5.40 (until27(s37)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26491, 26487])).
% 6.76/5.40 tff(26493,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26494,plain,
% 6.76/5.40 ((node26(s37) | (~until27(s37)) | xuntil28(s37)) <=> (xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26495,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26494])).
% 6.76/5.40 tff(26496,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26495, 26493])).
% 6.76/5.40 tff(26497,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26498,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 6.76/5.40 tff(26499,plain,
% 6.76/5.40 (xuntil28(s37)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26498, 15561, 26492, 25719])).
% 6.76/5.40 tff(26500,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26501,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26502,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26501, 26500])).
% 6.76/5.40 tff(26503,plain,
% 6.76/5.40 ((~xuntil28(s37)) | until27(s38)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26502, 3397, 15580])).
% 6.76/5.40 tff(26504,plain,
% 6.76/5.40 (until27(s38)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26503, 26499])).
% 6.76/5.40 tff(26505,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26506,plain,
% 6.76/5.40 ((node26(s38) | (~until27(s38)) | xuntil28(s38)) <=> (xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26507,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26506])).
% 6.76/5.40 tff(26508,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26507, 26505])).
% 6.76/5.40 tff(26509,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26510,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26509, 26508])).
% 6.76/5.40 tff(26511,plain,
% 6.76/5.40 (xuntil28(s38) | node26(s38)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26510, 15561, 26504])).
% 6.76/5.40 tff(26512,plain,
% 6.76/5.40 (xuntil28(s38)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26511, 25715])).
% 6.76/5.40 tff(26513,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26514,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26515,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26514, 26513])).
% 6.76/5.40 tff(26516,plain,
% 6.76/5.40 ((~xuntil28(s38)) | until27(s39)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26515, 3496, 15580])).
% 6.76/5.40 tff(26517,plain,
% 6.76/5.40 (until27(s39)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26516, 26512])).
% 6.76/5.40 tff(26518,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26519,plain,
% 6.76/5.40 ((node26(s39) | (~until27(s39)) | xuntil28(s39)) <=> (xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26520,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26519])).
% 6.76/5.40 tff(26521,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26520, 26518])).
% 6.76/5.40 tff(26522,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26523,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26522, 26521])).
% 6.76/5.40 tff(26524,plain,
% 6.76/5.40 (xuntil28(s39)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26523, 15561, 26517, 25706])).
% 6.76/5.40 tff(26525,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26526,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26527,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26526, 26525])).
% 6.76/5.40 tff(26528,plain,
% 6.76/5.40 ((~xuntil28(s39)) | until27(s40)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26527, 3574, 15580])).
% 6.76/5.40 tff(26529,plain,
% 6.76/5.40 (until27(s40)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26528, 26524])).
% 6.76/5.40 tff(26530,plain,
% 6.76/5.40 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26531,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26532,plain,
% 6.76/5.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26531, 26530])).
% 6.76/5.40 tff(26533,plain,
% 6.76/5.40 (~node26(s40)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26532, 15543, 25697])).
% 6.76/5.40 tff(26534,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26535,plain,
% 6.76/5.40 ((node26(s40) | (~until27(s40)) | xuntil28(s40)) <=> (xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26536,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26535])).
% 6.76/5.40 tff(26537,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26536, 26534])).
% 6.76/5.40 tff(26538,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26539,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26538, 26537])).
% 6.76/5.40 tff(26540,plain,
% 6.76/5.40 (xuntil28(s40) | (~until27(s40))),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26539, 15561, 26533])).
% 6.76/5.40 tff(26541,plain,
% 6.76/5.40 (xuntil28(s40)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26540, 26529])).
% 6.76/5.40 tff(26542,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26543,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26544,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26543, 26542])).
% 6.76/5.40 tff(26545,plain,
% 6.76/5.40 ((~xuntil28(s40)) | until27(s41)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26544, 3635, 15580])).
% 6.76/5.40 tff(26546,plain,
% 6.76/5.40 (until27(s41)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26545, 26541])).
% 6.76/5.40 tff(26547,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26548,plain,
% 6.76/5.40 ((node26(s41) | (~until27(s41)) | xuntil28(s41)) <=> (xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26549,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26548])).
% 6.76/5.40 tff(26550,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26549, 26547])).
% 6.76/5.40 tff(26551,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26552,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26551, 26550])).
% 6.76/5.40 tff(26553,plain,
% 6.76/5.40 (xuntil28(s41)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26552, 15561, 26546, 25690])).
% 6.76/5.40 tff(26554,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26555,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26556,plain,
% 6.76/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42)),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26555, 26554])).
% 6.76/5.40 tff(26557,plain,
% 6.76/5.40 ((~xuntil28(s41)) | until27(s42)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26556, 3730, 15580])).
% 6.76/5.40 tff(26558,plain,
% 6.76/5.40 (until27(s42)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26557, 26553])).
% 6.76/5.40 tff(26559,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26560,plain,
% 6.76/5.40 ((node26(s42) | (~until27(s42)) | xuntil28(s42)) <=> (xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 6.76/5.40 inference(rewrite,[status(thm)],[])).
% 6.76/5.40 tff(26561,plain,
% 6.76/5.40 (((~![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))))),
% 6.76/5.40 inference(monotonicity,[status(thm)],[26560])).
% 6.76/5.40 tff(26562,plain,
% 6.76/5.40 (((~![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)))),
% 6.76/5.40 inference(transitivity,[status(thm)],[26561, 26559])).
% 6.76/5.40 tff(26563,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))),
% 6.76/5.40 inference(quant_inst,[status(thm)],[])).
% 6.76/5.40 tff(26564,plain,
% 6.76/5.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42))),
% 6.76/5.40 inference(modus_ponens,[status(thm)],[26563, 26562])).
% 6.76/5.40 tff(26565,plain,
% 6.76/5.40 (xuntil28(s42) | node26(s42)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26564, 15561, 26558])).
% 6.76/5.40 tff(26566,plain,
% 6.76/5.40 (xuntil28(s42)),
% 6.76/5.40 inference(unit_resolution,[status(thm)],[26565, 25686])).
% 6.76/5.40 tff(26567,plain,
% 6.76/5.40 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26568,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26569,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26568, 26567])).
% 6.76/5.41 tff(26570,plain,
% 6.76/5.41 ((~xuntil28(s42)) | until27(s43)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26569, 3794, 15580])).
% 6.76/5.41 tff(26571,plain,
% 6.76/5.41 (until27(s43)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26570, 26566])).
% 6.76/5.41 tff(26572,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26573,plain,
% 6.76/5.41 ((node26(s43) | (~until27(s43)) | xuntil28(s43)) <=> (xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26574,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26573])).
% 6.76/5.41 tff(26575,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26574, 26572])).
% 6.76/5.41 tff(26576,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26577,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 6.76/5.41 tff(26578,plain,
% 6.76/5.41 (xuntil28(s43)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26577, 15561, 26571, 25677])).
% 6.76/5.41 tff(26579,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26580,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26581,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 6.76/5.41 tff(26582,plain,
% 6.76/5.41 ((~xuntil28(s43)) | until27(s44)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26581, 3869, 15580])).
% 6.76/5.41 tff(26583,plain,
% 6.76/5.41 (until27(s44)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26582, 26578])).
% 6.76/5.41 tff(26584,plain,
% 6.76/5.41 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26585,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26586,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26585, 26584])).
% 6.76/5.41 tff(26587,plain,
% 6.76/5.41 (~node26(s44)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26586, 15543, 25668])).
% 6.76/5.41 tff(26588,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26589,plain,
% 6.76/5.41 ((node26(s44) | (~until27(s44)) | xuntil28(s44)) <=> (xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26590,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26589])).
% 6.76/5.41 tff(26591,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26590, 26588])).
% 6.76/5.41 tff(26592,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26593,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 6.76/5.41 tff(26594,plain,
% 6.76/5.41 (xuntil28(s44) | (~until27(s44))),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26593, 15561, 26587])).
% 6.76/5.41 tff(26595,plain,
% 6.76/5.41 (xuntil28(s44)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26594, 26583])).
% 6.76/5.41 tff(26596,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26597,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26598,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26597, 26596])).
% 6.76/5.41 tff(26599,plain,
% 6.76/5.41 ((~xuntil28(s44)) | until27(s45)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26598, 3958, 15580])).
% 6.76/5.41 tff(26600,plain,
% 6.76/5.41 (until27(s45)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26599, 26595])).
% 6.76/5.41 tff(26601,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26602,plain,
% 6.76/5.41 ((node26(s45) | (~until27(s45)) | xuntil28(s45)) <=> (xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26603,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26602])).
% 6.76/5.41 tff(26604,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26603, 26601])).
% 6.76/5.41 tff(26605,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26606,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26605, 26604])).
% 6.76/5.41 tff(26607,plain,
% 6.76/5.41 (xuntil28(s45)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26606, 15561, 26600, 25661])).
% 6.76/5.41 tff(26608,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26609,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26610,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 6.76/5.41 tff(26611,plain,
% 6.76/5.41 ((~xuntil28(s45)) | until27(s46)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26610, 4025, 15580])).
% 6.76/5.41 tff(26612,plain,
% 6.76/5.41 (until27(s46)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26611, 26607])).
% 6.76/5.41 tff(26613,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26614,plain,
% 6.76/5.41 ((node26(s46) | (~until27(s46)) | xuntil28(s46)) <=> (xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26615,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26614])).
% 6.76/5.41 tff(26616,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26615, 26613])).
% 6.76/5.41 tff(26617,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26618,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 6.76/5.41 tff(26619,plain,
% 6.76/5.41 (xuntil28(s46) | node26(s46)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26618, 15561, 26612])).
% 6.76/5.41 tff(26620,plain,
% 6.76/5.41 (xuntil28(s46)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26619, 25657])).
% 6.76/5.41 tff(26621,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26622,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26623,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26622, 26621])).
% 6.76/5.41 tff(26624,plain,
% 6.76/5.41 ((~xuntil28(s46)) | until27(s47)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26623, 4124, 15580])).
% 6.76/5.41 tff(26625,plain,
% 6.76/5.41 (until27(s47)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26624, 26620])).
% 6.76/5.41 tff(26626,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26627,plain,
% 6.76/5.41 ((node26(s47) | (~until27(s47)) | xuntil28(s47)) <=> (xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26628,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26627])).
% 6.76/5.41 tff(26629,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26628, 26626])).
% 6.76/5.41 tff(26630,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26631,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 6.76/5.41 tff(26632,plain,
% 6.76/5.41 (xuntil28(s47)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26631, 15561, 26625, 25648])).
% 6.76/5.41 tff(26633,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26634,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26635,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 6.76/5.41 tff(26636,plain,
% 6.76/5.41 ((~xuntil28(s47)) | until27(s48)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26635, 4202, 15580])).
% 6.76/5.41 tff(26637,plain,
% 6.76/5.41 (until27(s48)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26636, 26632])).
% 6.76/5.41 tff(26638,plain,
% 6.76/5.41 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26639,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26640,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 6.76/5.41 tff(26641,plain,
% 6.76/5.41 (~node26(s48)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26640, 15543, 25639])).
% 6.76/5.41 tff(26642,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26643,plain,
% 6.76/5.41 ((node26(s48) | (~until27(s48)) | xuntil28(s48)) <=> (xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26644,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26643])).
% 6.76/5.41 tff(26645,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26644, 26642])).
% 6.76/5.41 tff(26646,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26647,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26646, 26645])).
% 6.76/5.41 tff(26648,plain,
% 6.76/5.41 (xuntil28(s48) | (~until27(s48))),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26647, 15561, 26641])).
% 6.76/5.41 tff(26649,plain,
% 6.76/5.41 (xuntil28(s48)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26648, 26637])).
% 6.76/5.41 tff(26650,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26651,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26652,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 6.76/5.41 tff(26653,plain,
% 6.76/5.41 ((~xuntil28(s48)) | until27(s49)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26652, 4263, 15580])).
% 6.76/5.41 tff(26654,plain,
% 6.76/5.41 (until27(s49)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26653, 26649])).
% 6.76/5.41 tff(26655,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26656,plain,
% 6.76/5.41 ((node26(s49) | (~until27(s49)) | xuntil28(s49)) <=> (xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26657,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26656])).
% 6.76/5.41 tff(26658,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26657, 26655])).
% 6.76/5.41 tff(26659,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26660,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26659, 26658])).
% 6.76/5.41 tff(26661,plain,
% 6.76/5.41 (xuntil28(s49)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26660, 15561, 26654, 25632])).
% 6.76/5.41 tff(26662,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26663,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26664,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26663, 26662])).
% 6.76/5.41 tff(26665,plain,
% 6.76/5.41 ((~xuntil28(s49)) | until27(s50)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26664, 4358, 15580])).
% 6.76/5.41 tff(26666,plain,
% 6.76/5.41 (until27(s50)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26665, 26661])).
% 6.76/5.41 tff(26667,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26668,plain,
% 6.76/5.41 ((node26(s50) | (~until27(s50)) | xuntil28(s50)) <=> (xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26669,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26668])).
% 6.76/5.41 tff(26670,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26669, 26667])).
% 6.76/5.41 tff(26671,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26672,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26671, 26670])).
% 6.76/5.41 tff(26673,plain,
% 6.76/5.41 (xuntil28(s50) | node26(s50)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26672, 15561, 26666])).
% 6.76/5.41 tff(26674,plain,
% 6.76/5.41 (xuntil28(s50)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26673, 25628])).
% 6.76/5.41 tff(26675,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26676,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26677,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 6.76/5.41 tff(26678,plain,
% 6.76/5.41 ((~xuntil28(s50)) | until27(s51)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26677, 4422, 15580])).
% 6.76/5.41 tff(26679,plain,
% 6.76/5.41 (until27(s51)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26678, 26674])).
% 6.76/5.41 tff(26680,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26681,plain,
% 6.76/5.41 ((node26(s51) | (~until27(s51)) | xuntil28(s51)) <=> (xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26682,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26681])).
% 6.76/5.41 tff(26683,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26682, 26680])).
% 6.76/5.41 tff(26684,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26685,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 6.76/5.41 tff(26686,plain,
% 6.76/5.41 (xuntil28(s51)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26685, 15561, 26679, 25619])).
% 6.76/5.41 tff(26687,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26688,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26689,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 6.76/5.41 tff(26690,plain,
% 6.76/5.41 ((~xuntil28(s51)) | until27(s52)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26689, 4497, 15580])).
% 6.76/5.41 tff(26691,plain,
% 6.76/5.41 (until27(s52)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26690, 26686])).
% 6.76/5.41 tff(26692,plain,
% 6.76/5.41 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26693,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26694,plain,
% 6.76/5.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26693, 26692])).
% 6.76/5.41 tff(26695,plain,
% 6.76/5.41 (~node26(s52)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26694, 15543, 25610])).
% 6.76/5.41 tff(26696,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26697,plain,
% 6.76/5.41 ((node26(s52) | (~until27(s52)) | xuntil28(s52)) <=> (xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26698,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26697])).
% 6.76/5.41 tff(26699,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26698, 26696])).
% 6.76/5.41 tff(26700,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26701,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26700, 26699])).
% 6.76/5.41 tff(26702,plain,
% 6.76/5.41 (xuntil28(s52) | (~until27(s52))),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26701, 15561, 26695])).
% 6.76/5.41 tff(26703,plain,
% 6.76/5.41 (xuntil28(s52)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26702, 26691])).
% 6.76/5.41 tff(26704,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26705,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26706,plain,
% 6.76/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53)),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 6.76/5.41 tff(26707,plain,
% 6.76/5.41 ((~xuntil28(s52)) | until27(s53)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26706, 4586, 15580])).
% 6.76/5.41 tff(26708,plain,
% 6.76/5.41 (until27(s53)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26707, 26703])).
% 6.76/5.41 tff(26709,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26710,plain,
% 6.76/5.41 ((node26(s53) | (~until27(s53)) | xuntil28(s53)) <=> (xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 6.76/5.41 inference(rewrite,[status(thm)],[])).
% 6.76/5.41 tff(26711,plain,
% 6.76/5.41 (((~![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))))),
% 6.76/5.41 inference(monotonicity,[status(thm)],[26710])).
% 6.76/5.41 tff(26712,plain,
% 6.76/5.41 (((~![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)))),
% 6.76/5.41 inference(transitivity,[status(thm)],[26711, 26709])).
% 6.76/5.41 tff(26713,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))),
% 6.76/5.41 inference(quant_inst,[status(thm)],[])).
% 6.76/5.41 tff(26714,plain,
% 6.76/5.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53))),
% 6.76/5.41 inference(modus_ponens,[status(thm)],[26713, 26712])).
% 6.76/5.41 tff(26715,plain,
% 6.76/5.41 (xuntil28(s53)),
% 6.76/5.41 inference(unit_resolution,[status(thm)],[26714, 15561, 26708, 25603])).
% 6.76/5.41 tff(26716,plain,
% 6.76/5.41 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26717,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26718,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 6.76/5.42 tff(26719,plain,
% 6.76/5.42 ((~xuntil28(s53)) | until27(s54)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26718, 4653, 15580])).
% 6.76/5.42 tff(26720,plain,
% 6.76/5.42 (until27(s54)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26719, 26715])).
% 6.76/5.42 tff(26721,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26722,plain,
% 6.76/5.42 ((node26(s54) | (~until27(s54)) | xuntil28(s54)) <=> (xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26723,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26722])).
% 6.76/5.42 tff(26724,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26723, 26721])).
% 6.76/5.42 tff(26725,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26726,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26725, 26724])).
% 6.76/5.42 tff(26727,plain,
% 6.76/5.42 (xuntil28(s54) | node26(s54)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26726, 15561, 26720])).
% 6.76/5.42 tff(26728,plain,
% 6.76/5.42 (xuntil28(s54)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26727, 25599])).
% 6.76/5.42 tff(26729,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26730,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26731,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 6.76/5.42 tff(26732,plain,
% 6.76/5.42 ((~xuntil28(s54)) | until27(s55)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26731, 4752, 15580])).
% 6.76/5.42 tff(26733,plain,
% 6.76/5.42 (until27(s55)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26732, 26728])).
% 6.76/5.42 tff(26734,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26735,plain,
% 6.76/5.42 ((node26(s55) | (~until27(s55)) | xuntil28(s55)) <=> (xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26736,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26735])).
% 6.76/5.42 tff(26737,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26736, 26734])).
% 6.76/5.42 tff(26738,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26739,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 6.76/5.42 tff(26740,plain,
% 6.76/5.42 (xuntil28(s55)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26739, 15561, 26733, 25590])).
% 6.76/5.42 tff(26741,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26742,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26743,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 6.76/5.42 tff(26744,plain,
% 6.76/5.42 ((~xuntil28(s55)) | until27(s56)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26743, 4830, 15580])).
% 6.76/5.42 tff(26745,plain,
% 6.76/5.42 (until27(s56)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26744, 26740])).
% 6.76/5.42 tff(26746,plain,
% 6.76/5.42 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26747,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26748,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26747, 26746])).
% 6.76/5.42 tff(26749,plain,
% 6.76/5.42 (~node26(s56)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26748, 15543, 25581])).
% 6.76/5.42 tff(26750,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26751,plain,
% 6.76/5.42 ((node26(s56) | (~until27(s56)) | xuntil28(s56)) <=> (xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26752,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26751])).
% 6.76/5.42 tff(26753,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26752, 26750])).
% 6.76/5.42 tff(26754,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26755,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 6.76/5.42 tff(26756,plain,
% 6.76/5.42 (xuntil28(s56) | (~until27(s56))),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26755, 15561, 26749])).
% 6.76/5.42 tff(26757,plain,
% 6.76/5.42 (xuntil28(s56)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26756, 26745])).
% 6.76/5.42 tff(26758,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26759,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26760,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26759, 26758])).
% 6.76/5.42 tff(26761,plain,
% 6.76/5.42 ((~xuntil28(s56)) | until27(s57)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26760, 4891, 15580])).
% 6.76/5.42 tff(26762,plain,
% 6.76/5.42 (until27(s57)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26761, 26757])).
% 6.76/5.42 tff(26763,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26764,plain,
% 6.76/5.42 ((node26(s57) | (~until27(s57)) | xuntil28(s57)) <=> (xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26765,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26764])).
% 6.76/5.42 tff(26766,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26765, 26763])).
% 6.76/5.42 tff(26767,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26768,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 6.76/5.42 tff(26769,plain,
% 6.76/5.42 (xuntil28(s57)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26768, 15561, 26762, 25574])).
% 6.76/5.42 tff(26770,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26771,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26772,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26771, 26770])).
% 6.76/5.42 tff(26773,plain,
% 6.76/5.42 ((~xuntil28(s57)) | until27(s58)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26772, 4986, 15580])).
% 6.76/5.42 tff(26774,plain,
% 6.76/5.42 (until27(s58)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26773, 26769])).
% 6.76/5.42 tff(26775,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26776,plain,
% 6.76/5.42 ((node26(s58) | (~until27(s58)) | xuntil28(s58)) <=> (xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26777,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26776])).
% 6.76/5.42 tff(26778,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26777, 26775])).
% 6.76/5.42 tff(26779,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26780,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26779, 26778])).
% 6.76/5.42 tff(26781,plain,
% 6.76/5.42 (xuntil28(s58) | node26(s58)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26780, 15561, 26774])).
% 6.76/5.42 tff(26782,plain,
% 6.76/5.42 (xuntil28(s58)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26781, 25570])).
% 6.76/5.42 tff(26783,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26784,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26785,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 6.76/5.42 tff(26786,plain,
% 6.76/5.42 ((~xuntil28(s58)) | until27(s59)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26785, 5050, 15580])).
% 6.76/5.42 tff(26787,plain,
% 6.76/5.42 (until27(s59)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26786, 26782])).
% 6.76/5.42 tff(26788,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26789,plain,
% 6.76/5.42 ((node26(s59) | (~until27(s59)) | xuntil28(s59)) <=> (xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26790,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26789])).
% 6.76/5.42 tff(26791,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26790, 26788])).
% 6.76/5.42 tff(26792,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26793,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26792, 26791])).
% 6.76/5.42 tff(26794,plain,
% 6.76/5.42 (xuntil28(s59)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26793, 15561, 26787, 25561])).
% 6.76/5.42 tff(26795,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26796,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26797,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 6.76/5.42 tff(26798,plain,
% 6.76/5.42 ((~xuntil28(s59)) | until27(s60)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26797, 5125, 15580])).
% 6.76/5.42 tff(26799,plain,
% 6.76/5.42 (until27(s60)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26798, 26794])).
% 6.76/5.42 tff(26800,plain,
% 6.76/5.42 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26801,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26802,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 6.76/5.42 tff(26803,plain,
% 6.76/5.42 (~node26(s60)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26802, 15543, 25552])).
% 6.76/5.42 tff(26804,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26805,plain,
% 6.76/5.42 ((node26(s60) | (~until27(s60)) | xuntil28(s60)) <=> (xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26806,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26805])).
% 6.76/5.42 tff(26807,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26806, 26804])).
% 6.76/5.42 tff(26808,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26809,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26808, 26807])).
% 6.76/5.42 tff(26810,plain,
% 6.76/5.42 (xuntil28(s60) | (~until27(s60))),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26809, 15561, 26803])).
% 6.76/5.42 tff(26811,plain,
% 6.76/5.42 (xuntil28(s60)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26810, 26799])).
% 6.76/5.42 tff(26812,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26813,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26814,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26813, 26812])).
% 6.76/5.42 tff(26815,plain,
% 6.76/5.42 ((~xuntil28(s60)) | until27(s61)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26814, 5214, 15580])).
% 6.76/5.42 tff(26816,plain,
% 6.76/5.42 (until27(s61)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26815, 26811])).
% 6.76/5.42 tff(26817,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26818,plain,
% 6.76/5.42 ((node26(s61) | (~until27(s61)) | xuntil28(s61)) <=> (xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26819,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26818])).
% 6.76/5.42 tff(26820,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26819, 26817])).
% 6.76/5.42 tff(26821,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26822,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 6.76/5.42 tff(26823,plain,
% 6.76/5.42 (xuntil28(s61)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26822, 15561, 26816, 25545])).
% 6.76/5.42 tff(26824,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26825,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26826,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 6.76/5.42 tff(26827,plain,
% 6.76/5.42 ((~xuntil28(s61)) | until27(s62)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26826, 5281, 15580])).
% 6.76/5.42 tff(26828,plain,
% 6.76/5.42 (until27(s62)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26827, 26823])).
% 6.76/5.42 tff(26829,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26830,plain,
% 6.76/5.42 ((node26(s62) | (~until27(s62)) | xuntil28(s62)) <=> (xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26831,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26830])).
% 6.76/5.42 tff(26832,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26831, 26829])).
% 6.76/5.42 tff(26833,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26834,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 6.76/5.42 tff(26835,plain,
% 6.76/5.42 (xuntil28(s62) | node26(s62)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26834, 15561, 26828])).
% 6.76/5.42 tff(26836,plain,
% 6.76/5.42 (xuntil28(s62)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26835, 25541])).
% 6.76/5.42 tff(26837,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26838,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26839,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 6.76/5.42 tff(26840,plain,
% 6.76/5.42 ((~xuntil28(s62)) | until27(s63)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26839, 5380, 15580])).
% 6.76/5.42 tff(26841,plain,
% 6.76/5.42 (until27(s63)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26840, 26836])).
% 6.76/5.42 tff(26842,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26843,plain,
% 6.76/5.42 ((node26(s63) | (~until27(s63)) | xuntil28(s63)) <=> (xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26844,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26843])).
% 6.76/5.42 tff(26845,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26844, 26842])).
% 6.76/5.42 tff(26846,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26847,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 6.76/5.42 tff(26848,plain,
% 6.76/5.42 (xuntil28(s63)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26847, 15561, 26841, 25532])).
% 6.76/5.42 tff(26849,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26850,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26851,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 6.76/5.42 tff(26852,plain,
% 6.76/5.42 ((~xuntil28(s63)) | until27(s64)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26851, 5458, 15580])).
% 6.76/5.42 tff(26853,plain,
% 6.76/5.42 (until27(s64)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26852, 26848])).
% 6.76/5.42 tff(26854,plain,
% 6.76/5.42 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26855,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26856,plain,
% 6.76/5.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26855, 26854])).
% 6.76/5.42 tff(26857,plain,
% 6.76/5.42 (~node26(s64)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26856, 15543, 25523])).
% 6.76/5.42 tff(26858,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26859,plain,
% 6.76/5.42 ((node26(s64) | (~until27(s64)) | xuntil28(s64)) <=> (xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26860,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26859])).
% 6.76/5.42 tff(26861,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26860, 26858])).
% 6.76/5.42 tff(26862,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26863,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 6.76/5.42 tff(26864,plain,
% 6.76/5.42 (xuntil28(s64) | (~until27(s64))),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26863, 15561, 26857])).
% 6.76/5.42 tff(26865,plain,
% 6.76/5.42 (xuntil28(s64)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26864, 26853])).
% 6.76/5.42 tff(26866,plain,
% 6.76/5.42 (((~![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))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26867,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26868,plain,
% 6.76/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65)),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26867, 26866])).
% 6.76/5.42 tff(26869,plain,
% 6.76/5.42 ((~xuntil28(s64)) | until27(s65)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26868, 5519, 15580])).
% 6.76/5.42 tff(26870,plain,
% 6.76/5.42 (until27(s65)),
% 6.76/5.42 inference(unit_resolution,[status(thm)],[26869, 26865])).
% 6.76/5.42 tff(26871,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26872,plain,
% 6.76/5.42 ((node26(s65) | (~until27(s65)) | xuntil28(s65)) <=> (xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 6.76/5.42 inference(rewrite,[status(thm)],[])).
% 6.76/5.42 tff(26873,plain,
% 6.76/5.42 (((~![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))))),
% 6.76/5.42 inference(monotonicity,[status(thm)],[26872])).
% 6.76/5.42 tff(26874,plain,
% 6.76/5.42 (((~![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)))),
% 6.76/5.42 inference(transitivity,[status(thm)],[26873, 26871])).
% 6.76/5.42 tff(26875,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))),
% 6.76/5.42 inference(quant_inst,[status(thm)],[])).
% 6.76/5.42 tff(26876,plain,
% 6.76/5.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65))),
% 6.76/5.42 inference(modus_ponens,[status(thm)],[26875, 26874])).
% 6.76/5.43 tff(26877,plain,
% 6.76/5.43 (xuntil28(s65)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26876, 15561, 26870, 25516])).
% 6.76/5.43 tff(26878,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26879,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26880,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 6.76/5.43 tff(26881,plain,
% 6.76/5.43 ((~xuntil28(s65)) | until27(s66)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26880, 5614, 15580])).
% 6.76/5.43 tff(26882,plain,
% 6.76/5.43 (until27(s66)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26881, 26877])).
% 6.76/5.43 tff(26883,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26884,plain,
% 6.76/5.43 ((node26(s66) | (~until27(s66)) | xuntil28(s66)) <=> (xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26885,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26884])).
% 6.76/5.43 tff(26886,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26885, 26883])).
% 6.76/5.43 tff(26887,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26888,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 6.76/5.43 tff(26889,plain,
% 6.76/5.43 (xuntil28(s66) | node26(s66)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26888, 15561, 26882])).
% 6.76/5.43 tff(26890,plain,
% 6.76/5.43 (xuntil28(s66)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26889, 25512])).
% 6.76/5.43 tff(26891,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26892,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26893,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 6.76/5.43 tff(26894,plain,
% 6.76/5.43 ((~xuntil28(s66)) | until27(s67)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26893, 5678, 15580])).
% 6.76/5.43 tff(26895,plain,
% 6.76/5.43 (until27(s67)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26894, 26890])).
% 6.76/5.43 tff(26896,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26897,plain,
% 6.76/5.43 ((node26(s67) | (~until27(s67)) | xuntil28(s67)) <=> (xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26898,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26897])).
% 6.76/5.43 tff(26899,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26898, 26896])).
% 6.76/5.43 tff(26900,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26901,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 6.76/5.43 tff(26902,plain,
% 6.76/5.43 (xuntil28(s67)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26901, 15561, 26895, 25503])).
% 6.76/5.43 tff(26903,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26904,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26905,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26904, 26903])).
% 6.76/5.43 tff(26906,plain,
% 6.76/5.43 ((~xuntil28(s67)) | until27(s68)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26905, 5753, 15580])).
% 6.76/5.43 tff(26907,plain,
% 6.76/5.43 (until27(s68)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26906, 26902])).
% 6.76/5.43 tff(26908,plain,
% 6.76/5.43 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26909,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26910,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 6.76/5.43 tff(26911,plain,
% 6.76/5.43 (~node26(s68)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26910, 15543, 25494])).
% 6.76/5.43 tff(26912,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26913,plain,
% 6.76/5.43 ((node26(s68) | (~until27(s68)) | xuntil28(s68)) <=> (xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26914,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26913])).
% 6.76/5.43 tff(26915,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26914, 26912])).
% 6.76/5.43 tff(26916,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26917,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 6.76/5.43 tff(26918,plain,
% 6.76/5.43 (xuntil28(s68) | (~until27(s68))),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26917, 15561, 26911])).
% 6.76/5.43 tff(26919,plain,
% 6.76/5.43 (xuntil28(s68)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26918, 26907])).
% 6.76/5.43 tff(26920,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26921,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26922,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 6.76/5.43 tff(26923,plain,
% 6.76/5.43 ((~xuntil28(s68)) | until27(s69)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26922, 5842, 15580])).
% 6.76/5.43 tff(26924,plain,
% 6.76/5.43 (until27(s69)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26923, 26919])).
% 6.76/5.43 tff(26925,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26926,plain,
% 6.76/5.43 ((node26(s69) | (~until27(s69)) | xuntil28(s69)) <=> (xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26927,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26926])).
% 6.76/5.43 tff(26928,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26927, 26925])).
% 6.76/5.43 tff(26929,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26930,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 6.76/5.43 tff(26931,plain,
% 6.76/5.43 (xuntil28(s69)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26930, 15561, 26924, 25487])).
% 6.76/5.43 tff(26932,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26933,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26934,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 6.76/5.43 tff(26935,plain,
% 6.76/5.43 ((~xuntil28(s69)) | until27(s70)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26934, 5909, 15580])).
% 6.76/5.43 tff(26936,plain,
% 6.76/5.43 (until27(s70)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26935, 26931])).
% 6.76/5.43 tff(26937,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26938,plain,
% 6.76/5.43 ((node26(s70) | (~until27(s70)) | xuntil28(s70)) <=> (xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26939,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26938])).
% 6.76/5.43 tff(26940,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26939, 26937])).
% 6.76/5.43 tff(26941,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26942,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 6.76/5.43 tff(26943,plain,
% 6.76/5.43 (xuntil28(s70) | node26(s70)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26942, 15561, 26936])).
% 6.76/5.43 tff(26944,plain,
% 6.76/5.43 (xuntil28(s70)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26943, 25483])).
% 6.76/5.43 tff(26945,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26946,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26947,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 6.76/5.43 tff(26948,plain,
% 6.76/5.43 ((~xuntil28(s70)) | until27(s71)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26947, 6008, 15580])).
% 6.76/5.43 tff(26949,plain,
% 6.76/5.43 (until27(s71)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26948, 26944])).
% 6.76/5.43 tff(26950,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26951,plain,
% 6.76/5.43 ((node26(s71) | (~until27(s71)) | xuntil28(s71)) <=> (xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26952,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26951])).
% 6.76/5.43 tff(26953,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26952, 26950])).
% 6.76/5.43 tff(26954,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26955,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26954, 26953])).
% 6.76/5.43 tff(26956,plain,
% 6.76/5.43 (xuntil28(s71)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26955, 15561, 26949, 25474])).
% 6.76/5.43 tff(26957,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26958,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26959,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26958, 26957])).
% 6.76/5.43 tff(26960,plain,
% 6.76/5.43 ((~xuntil28(s71)) | until27(s72)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26959, 6086, 15580])).
% 6.76/5.43 tff(26961,plain,
% 6.76/5.43 (until27(s72)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26960, 26956])).
% 6.76/5.43 tff(26962,plain,
% 6.76/5.43 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26963,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26964,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26963, 26962])).
% 6.76/5.43 tff(26965,plain,
% 6.76/5.43 (~node26(s72)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26964, 15543, 25465])).
% 6.76/5.43 tff(26966,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26967,plain,
% 6.76/5.43 ((node26(s72) | (~until27(s72)) | xuntil28(s72)) <=> (xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26968,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26967])).
% 6.76/5.43 tff(26969,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26968, 26966])).
% 6.76/5.43 tff(26970,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26971,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 6.76/5.43 tff(26972,plain,
% 6.76/5.43 (xuntil28(s72) | (~until27(s72))),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26971, 15561, 26965])).
% 6.76/5.43 tff(26973,plain,
% 6.76/5.43 (xuntil28(s72)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26972, 26961])).
% 6.76/5.43 tff(26974,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26975,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26976,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 6.76/5.43 tff(26977,plain,
% 6.76/5.43 ((~xuntil28(s72)) | until27(s73)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26976, 6147, 15580])).
% 6.76/5.43 tff(26978,plain,
% 6.76/5.43 (until27(s73)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26977, 26973])).
% 6.76/5.43 tff(26979,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26980,plain,
% 6.76/5.43 ((node26(s73) | (~until27(s73)) | xuntil28(s73)) <=> (xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26981,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26980])).
% 6.76/5.43 tff(26982,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26981, 26979])).
% 6.76/5.43 tff(26983,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26984,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26983, 26982])).
% 6.76/5.43 tff(26985,plain,
% 6.76/5.43 (xuntil28(s73)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26984, 15561, 26978, 25458])).
% 6.76/5.43 tff(26986,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26987,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26988,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 6.76/5.43 tff(26989,plain,
% 6.76/5.43 ((~xuntil28(s73)) | until27(s74)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26988, 6242, 15580])).
% 6.76/5.43 tff(26990,plain,
% 6.76/5.43 (until27(s74)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26989, 26985])).
% 6.76/5.43 tff(26991,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26992,plain,
% 6.76/5.43 ((node26(s74) | (~until27(s74)) | xuntil28(s74)) <=> (xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(26993,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[26992])).
% 6.76/5.43 tff(26994,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[26993, 26991])).
% 6.76/5.43 tff(26995,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(26996,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[26995, 26994])).
% 6.76/5.43 tff(26997,plain,
% 6.76/5.43 (xuntil28(s74) | node26(s74)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26996, 15561, 26990])).
% 6.76/5.43 tff(26998,plain,
% 6.76/5.43 (xuntil28(s74)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[26997, 25454])).
% 6.76/5.43 tff(26999,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27000,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27001,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27000, 26999])).
% 6.76/5.43 tff(27002,plain,
% 6.76/5.43 ((~xuntil28(s74)) | until27(s75)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27001, 6306, 15580])).
% 6.76/5.43 tff(27003,plain,
% 6.76/5.43 (until27(s75)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27002, 26998])).
% 6.76/5.43 tff(27004,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27005,plain,
% 6.76/5.43 ((node26(s75) | (~until27(s75)) | xuntil28(s75)) <=> (xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27006,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[27005])).
% 6.76/5.43 tff(27007,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[27006, 27004])).
% 6.76/5.43 tff(27008,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27009,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 6.76/5.43 tff(27010,plain,
% 6.76/5.43 (xuntil28(s75)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27009, 15561, 27003, 25445])).
% 6.76/5.43 tff(27011,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27012,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27013,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27012, 27011])).
% 6.76/5.43 tff(27014,plain,
% 6.76/5.43 ((~xuntil28(s75)) | until27(s76)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27013, 6381, 15580])).
% 6.76/5.43 tff(27015,plain,
% 6.76/5.43 (until27(s76)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27014, 27010])).
% 6.76/5.43 tff(27016,plain,
% 6.76/5.43 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27017,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27018,plain,
% 6.76/5.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27017, 27016])).
% 6.76/5.43 tff(27019,plain,
% 6.76/5.43 (~node26(s76)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27018, 15543, 25436])).
% 6.76/5.43 tff(27020,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27021,plain,
% 6.76/5.43 ((node26(s76) | (~until27(s76)) | xuntil28(s76)) <=> (xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27022,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[27021])).
% 6.76/5.43 tff(27023,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[27022, 27020])).
% 6.76/5.43 tff(27024,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27025,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27024, 27023])).
% 6.76/5.43 tff(27026,plain,
% 6.76/5.43 (xuntil28(s76) | (~until27(s76))),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27025, 15561, 27019])).
% 6.76/5.43 tff(27027,plain,
% 6.76/5.43 (xuntil28(s76)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27026, 27015])).
% 6.76/5.43 tff(27028,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27029,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27030,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77)),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27029, 27028])).
% 6.76/5.43 tff(27031,plain,
% 6.76/5.43 ((~xuntil28(s76)) | until27(s77)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27030, 6470, 15580])).
% 6.76/5.43 tff(27032,plain,
% 6.76/5.43 (until27(s77)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27031, 27027])).
% 6.76/5.43 tff(27033,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27034,plain,
% 6.76/5.43 ((node26(s77) | (~until27(s77)) | xuntil28(s77)) <=> (xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27035,plain,
% 6.76/5.43 (((~![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))))),
% 6.76/5.43 inference(monotonicity,[status(thm)],[27034])).
% 6.76/5.43 tff(27036,plain,
% 6.76/5.43 (((~![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)))),
% 6.76/5.43 inference(transitivity,[status(thm)],[27035, 27033])).
% 6.76/5.43 tff(27037,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27038,plain,
% 6.76/5.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77))),
% 6.76/5.43 inference(modus_ponens,[status(thm)],[27037, 27036])).
% 6.76/5.43 tff(27039,plain,
% 6.76/5.43 (xuntil28(s77)),
% 6.76/5.43 inference(unit_resolution,[status(thm)],[27038, 15561, 27032, 25429])).
% 6.76/5.43 tff(27040,plain,
% 6.76/5.43 (((~![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))),
% 6.76/5.43 inference(rewrite,[status(thm)],[])).
% 6.76/5.43 tff(27041,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))),
% 6.76/5.43 inference(quant_inst,[status(thm)],[])).
% 6.76/5.43 tff(27042,plain,
% 6.76/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 6.76/5.44 tff(27043,plain,
% 6.76/5.44 ((~xuntil28(s77)) | until27(s78)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27042, 6537, 15580])).
% 6.76/5.44 tff(27044,plain,
% 6.76/5.44 (until27(s78)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27043, 27039])).
% 6.76/5.44 tff(27045,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27046,plain,
% 6.76/5.44 ((node26(s78) | (~until27(s78)) | xuntil28(s78)) <=> (xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27047,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27046])).
% 6.76/5.44 tff(27048,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27047, 27045])).
% 6.76/5.44 tff(27049,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27050,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27049, 27048])).
% 6.76/5.44 tff(27051,plain,
% 6.76/5.44 (xuntil28(s78) | node26(s78)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27050, 15561, 27044])).
% 6.76/5.44 tff(27052,plain,
% 6.76/5.44 (xuntil28(s78)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27051, 25425])).
% 6.76/5.44 tff(27053,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27054,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27055,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 6.76/5.44 tff(27056,plain,
% 6.76/5.44 ((~xuntil28(s78)) | until27(s79)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27055, 6636, 15580])).
% 6.76/5.44 tff(27057,plain,
% 6.76/5.44 (until27(s79)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27056, 27052])).
% 6.76/5.44 tff(27058,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27059,plain,
% 6.76/5.44 ((node26(s79) | (~until27(s79)) | xuntil28(s79)) <=> (xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27060,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27059])).
% 6.76/5.44 tff(27061,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27060, 27058])).
% 6.76/5.44 tff(27062,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27063,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27062, 27061])).
% 6.76/5.44 tff(27064,plain,
% 6.76/5.44 (xuntil28(s79)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27063, 15561, 27057, 25416])).
% 6.76/5.44 tff(27065,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27066,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27067,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27066, 27065])).
% 6.76/5.44 tff(27068,plain,
% 6.76/5.44 ((~xuntil28(s79)) | until27(s80)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27067, 6714, 15580])).
% 6.76/5.44 tff(27069,plain,
% 6.76/5.44 (until27(s80)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27068, 27064])).
% 6.76/5.44 tff(27070,plain,
% 6.76/5.44 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27071,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27072,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27071, 27070])).
% 6.76/5.44 tff(27073,plain,
% 6.76/5.44 (~node26(s80)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27072, 15543, 25407])).
% 6.76/5.44 tff(27074,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27075,plain,
% 6.76/5.44 ((node26(s80) | (~until27(s80)) | xuntil28(s80)) <=> (xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27076,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27075])).
% 6.76/5.44 tff(27077,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27076, 27074])).
% 6.76/5.44 tff(27078,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27079,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 6.76/5.44 tff(27080,plain,
% 6.76/5.44 (xuntil28(s80) | (~until27(s80))),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27079, 15561, 27073])).
% 6.76/5.44 tff(27081,plain,
% 6.76/5.44 (xuntil28(s80)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27080, 27069])).
% 6.76/5.44 tff(27082,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27083,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27084,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27083, 27082])).
% 6.76/5.44 tff(27085,plain,
% 6.76/5.44 ((~xuntil28(s80)) | until27(s81)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27084, 6775, 15580])).
% 6.76/5.44 tff(27086,plain,
% 6.76/5.44 (until27(s81)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27085, 27081])).
% 6.76/5.44 tff(27087,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27088,plain,
% 6.76/5.44 ((node26(s81) | (~until27(s81)) | xuntil28(s81)) <=> (xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27089,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27088])).
% 6.76/5.44 tff(27090,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27089, 27087])).
% 6.76/5.44 tff(27091,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27092,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 6.76/5.44 tff(27093,plain,
% 6.76/5.44 (xuntil28(s81)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27092, 15561, 27086, 25400])).
% 6.76/5.44 tff(27094,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27095,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27096,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 6.76/5.44 tff(27097,plain,
% 6.76/5.44 ((~xuntil28(s81)) | until27(s82)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27096, 6870, 15580])).
% 6.76/5.44 tff(27098,plain,
% 6.76/5.44 (until27(s82)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27097, 27093])).
% 6.76/5.44 tff(27099,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27100,plain,
% 6.76/5.44 ((node26(s82) | (~until27(s82)) | xuntil28(s82)) <=> (xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27101,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27100])).
% 6.76/5.44 tff(27102,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27101, 27099])).
% 6.76/5.44 tff(27103,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27104,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 6.76/5.44 tff(27105,plain,
% 6.76/5.44 (xuntil28(s82) | node26(s82)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27104, 15561, 27098])).
% 6.76/5.44 tff(27106,plain,
% 6.76/5.44 (xuntil28(s82)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27105, 25396])).
% 6.76/5.44 tff(27107,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27108,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27109,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27108, 27107])).
% 6.76/5.44 tff(27110,plain,
% 6.76/5.44 ((~xuntil28(s82)) | until27(s83)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27109, 6934, 15580])).
% 6.76/5.44 tff(27111,plain,
% 6.76/5.44 (until27(s83)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27110, 27106])).
% 6.76/5.44 tff(27112,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27113,plain,
% 6.76/5.44 ((node26(s83) | (~until27(s83)) | xuntil28(s83)) <=> (xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27114,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27113])).
% 6.76/5.44 tff(27115,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27114, 27112])).
% 6.76/5.44 tff(27116,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27117,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 6.76/5.44 tff(27118,plain,
% 6.76/5.44 (xuntil28(s83)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27117, 15561, 27111, 25387])).
% 6.76/5.44 tff(27119,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27120,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27121,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 6.76/5.44 tff(27122,plain,
% 6.76/5.44 ((~xuntil28(s83)) | until27(s84)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27121, 7009, 15580])).
% 6.76/5.44 tff(27123,plain,
% 6.76/5.44 (until27(s84)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27122, 27118])).
% 6.76/5.44 tff(27124,plain,
% 6.76/5.44 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27125,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27126,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 6.76/5.44 tff(27127,plain,
% 6.76/5.44 (~node26(s84)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27126, 15543, 25378])).
% 6.76/5.44 tff(27128,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27129,plain,
% 6.76/5.44 ((node26(s84) | (~until27(s84)) | xuntil28(s84)) <=> (xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27130,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27129])).
% 6.76/5.44 tff(27131,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27130, 27128])).
% 6.76/5.44 tff(27132,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27133,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27132, 27131])).
% 6.76/5.44 tff(27134,plain,
% 6.76/5.44 (xuntil28(s84) | (~until27(s84))),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27133, 15561, 27127])).
% 6.76/5.44 tff(27135,plain,
% 6.76/5.44 (xuntil28(s84)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27134, 27123])).
% 6.76/5.44 tff(27136,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27137,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27138,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27137, 27136])).
% 6.76/5.44 tff(27139,plain,
% 6.76/5.44 ((~xuntil28(s84)) | until27(s85)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27138, 7098, 15580])).
% 6.76/5.44 tff(27140,plain,
% 6.76/5.44 (until27(s85)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27139, 27135])).
% 6.76/5.44 tff(27141,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27142,plain,
% 6.76/5.44 ((node26(s85) | (~until27(s85)) | xuntil28(s85)) <=> (xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27143,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27142])).
% 6.76/5.44 tff(27144,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27143, 27141])).
% 6.76/5.44 tff(27145,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27146,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27145, 27144])).
% 6.76/5.44 tff(27147,plain,
% 6.76/5.44 (xuntil28(s85)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27146, 15561, 27140, 25371])).
% 6.76/5.44 tff(27148,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27149,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27150,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 6.76/5.44 tff(27151,plain,
% 6.76/5.44 ((~xuntil28(s85)) | until27(s86)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27150, 7165, 15580])).
% 6.76/5.44 tff(27152,plain,
% 6.76/5.44 (until27(s86)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27151, 27147])).
% 6.76/5.44 tff(27153,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27154,plain,
% 6.76/5.44 ((node26(s86) | (~until27(s86)) | xuntil28(s86)) <=> (xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27155,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27154])).
% 6.76/5.44 tff(27156,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27155, 27153])).
% 6.76/5.44 tff(27157,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27158,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 6.76/5.44 tff(27159,plain,
% 6.76/5.44 (xuntil28(s86) | node26(s86)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27158, 15561, 27152])).
% 6.76/5.44 tff(27160,plain,
% 6.76/5.44 (xuntil28(s86)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27159, 25367])).
% 6.76/5.44 tff(27161,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27162,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27163,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 6.76/5.44 tff(27164,plain,
% 6.76/5.44 ((~xuntil28(s86)) | until27(s87)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27163, 7264, 15580])).
% 6.76/5.44 tff(27165,plain,
% 6.76/5.44 (until27(s87)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27164, 27160])).
% 6.76/5.44 tff(27166,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27167,plain,
% 6.76/5.44 ((node26(s87) | (~until27(s87)) | xuntil28(s87)) <=> (xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27168,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27167])).
% 6.76/5.44 tff(27169,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27168, 27166])).
% 6.76/5.44 tff(27170,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27171,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 6.76/5.44 tff(27172,plain,
% 6.76/5.44 (xuntil28(s87)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27171, 15561, 27165, 25358])).
% 6.76/5.44 tff(27173,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27174,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27175,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 6.76/5.44 tff(27176,plain,
% 6.76/5.44 ((~xuntil28(s87)) | until27(s88)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27175, 7342, 15580])).
% 6.76/5.44 tff(27177,plain,
% 6.76/5.44 (until27(s88)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27176, 27172])).
% 6.76/5.44 tff(27178,plain,
% 6.76/5.44 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27179,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27180,plain,
% 6.76/5.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 6.76/5.44 tff(27181,plain,
% 6.76/5.44 (~node26(s88)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27180, 15543, 25349])).
% 6.76/5.44 tff(27182,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27183,plain,
% 6.76/5.44 ((node26(s88) | (~until27(s88)) | xuntil28(s88)) <=> (xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27184,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27183])).
% 6.76/5.44 tff(27185,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27184, 27182])).
% 6.76/5.44 tff(27186,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27187,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 6.76/5.44 tff(27188,plain,
% 6.76/5.44 (xuntil28(s88) | (~until27(s88))),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27187, 15561, 27181])).
% 6.76/5.44 tff(27189,plain,
% 6.76/5.44 (xuntil28(s88)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27188, 27177])).
% 6.76/5.44 tff(27190,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27191,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27192,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27191, 27190])).
% 6.76/5.44 tff(27193,plain,
% 6.76/5.44 ((~xuntil28(s88)) | until27(s89)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27192, 7403, 15580])).
% 6.76/5.44 tff(27194,plain,
% 6.76/5.44 (until27(s89)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27193, 27189])).
% 6.76/5.44 tff(27195,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27196,plain,
% 6.76/5.44 ((node26(s89) | (~until27(s89)) | xuntil28(s89)) <=> (xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27197,plain,
% 6.76/5.44 (((~![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))))),
% 6.76/5.44 inference(monotonicity,[status(thm)],[27196])).
% 6.76/5.44 tff(27198,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(transitivity,[status(thm)],[27197, 27195])).
% 6.76/5.44 tff(27199,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27200,plain,
% 6.76/5.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89))),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 6.76/5.44 tff(27201,plain,
% 6.76/5.44 (xuntil28(s89)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27200, 15561, 27194, 25342])).
% 6.76/5.44 tff(27202,plain,
% 6.76/5.44 (((~![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))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27203,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))),
% 6.76/5.44 inference(quant_inst,[status(thm)],[])).
% 6.76/5.44 tff(27204,plain,
% 6.76/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90)),
% 6.76/5.44 inference(modus_ponens,[status(thm)],[27203, 27202])).
% 6.76/5.44 tff(27205,plain,
% 6.76/5.44 ((~xuntil28(s89)) | until27(s90)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27204, 7498, 15580])).
% 6.76/5.44 tff(27206,plain,
% 6.76/5.44 (until27(s90)),
% 6.76/5.44 inference(unit_resolution,[status(thm)],[27205, 27201])).
% 6.76/5.44 tff(27207,plain,
% 6.76/5.44 (((~![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)))),
% 6.76/5.44 inference(rewrite,[status(thm)],[])).
% 6.76/5.44 tff(27208,plain,
% 6.76/5.45 ((node26(s90) | (~until27(s90)) | xuntil28(s90)) <=> (xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27209,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27208])).
% 6.76/5.45 tff(27210,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27209, 27207])).
% 6.76/5.45 tff(27211,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27212,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 6.76/5.45 tff(27213,plain,
% 6.76/5.45 (xuntil28(s90) | node26(s90)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27212, 15561, 27206])).
% 6.76/5.45 tff(27214,plain,
% 6.76/5.45 (xuntil28(s90)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27213, 25338])).
% 6.76/5.45 tff(27215,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27216,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27217,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 6.76/5.45 tff(27218,plain,
% 6.76/5.45 ((~xuntil28(s90)) | until27(s91)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27217, 7562, 15580])).
% 6.76/5.45 tff(27219,plain,
% 6.76/5.45 (until27(s91)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27218, 27214])).
% 6.76/5.45 tff(27220,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27221,plain,
% 6.76/5.45 ((node26(s91) | (~until27(s91)) | xuntil28(s91)) <=> (xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27222,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27221])).
% 6.76/5.45 tff(27223,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27222, 27220])).
% 6.76/5.45 tff(27224,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27225,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27224, 27223])).
% 6.76/5.45 tff(27226,plain,
% 6.76/5.45 (xuntil28(s91)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27225, 15561, 27219, 25329])).
% 6.76/5.45 tff(27227,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27228,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27229,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 6.76/5.45 tff(27230,plain,
% 6.76/5.45 ((~xuntil28(s91)) | until27(s92)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27229, 7637, 15580])).
% 6.76/5.45 tff(27231,plain,
% 6.76/5.45 (until27(s92)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27230, 27226])).
% 6.76/5.45 tff(27232,plain,
% 6.76/5.45 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27233,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27234,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27233, 27232])).
% 6.76/5.45 tff(27235,plain,
% 6.76/5.45 (~node26(s92)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27234, 15543, 25320])).
% 6.76/5.45 tff(27236,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27237,plain,
% 6.76/5.45 ((node26(s92) | (~until27(s92)) | xuntil28(s92)) <=> (xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27238,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27237])).
% 6.76/5.45 tff(27239,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27238, 27236])).
% 6.76/5.45 tff(27240,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27241,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27240, 27239])).
% 6.76/5.45 tff(27242,plain,
% 6.76/5.45 (xuntil28(s92) | (~until27(s92))),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27241, 15561, 27235])).
% 6.76/5.45 tff(27243,plain,
% 6.76/5.45 (xuntil28(s92)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27242, 27231])).
% 6.76/5.45 tff(27244,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27245,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27246,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27245, 27244])).
% 6.76/5.45 tff(27247,plain,
% 6.76/5.45 ((~xuntil28(s92)) | until27(s93)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27246, 7726, 15580])).
% 6.76/5.45 tff(27248,plain,
% 6.76/5.45 (until27(s93)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27247, 27243])).
% 6.76/5.45 tff(27249,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27250,plain,
% 6.76/5.45 ((node26(s93) | (~until27(s93)) | xuntil28(s93)) <=> (xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27251,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27250])).
% 6.76/5.45 tff(27252,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27251, 27249])).
% 6.76/5.45 tff(27253,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27254,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 6.76/5.45 tff(27255,plain,
% 6.76/5.45 (xuntil28(s93)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27254, 15561, 27248, 25313])).
% 6.76/5.45 tff(27256,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27257,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27258,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 6.76/5.45 tff(27259,plain,
% 6.76/5.45 ((~xuntil28(s93)) | until27(s94)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27258, 7793, 15580])).
% 6.76/5.45 tff(27260,plain,
% 6.76/5.45 (until27(s94)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27259, 27255])).
% 6.76/5.45 tff(27261,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27262,plain,
% 6.76/5.45 ((node26(s94) | (~until27(s94)) | xuntil28(s94)) <=> (xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27263,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27262])).
% 6.76/5.45 tff(27264,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27263, 27261])).
% 6.76/5.45 tff(27265,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27266,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27265, 27264])).
% 6.76/5.45 tff(27267,plain,
% 6.76/5.45 (xuntil28(s94) | node26(s94)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27266, 15561, 27260])).
% 6.76/5.45 tff(27268,plain,
% 6.76/5.45 (xuntil28(s94)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27267, 25309])).
% 6.76/5.45 tff(27269,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27270,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27271,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27270, 27269])).
% 6.76/5.45 tff(27272,plain,
% 6.76/5.45 ((~xuntil28(s94)) | until27(s95)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27271, 7892, 15580])).
% 6.76/5.45 tff(27273,plain,
% 6.76/5.45 (until27(s95)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27272, 27268])).
% 6.76/5.45 tff(27274,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27275,plain,
% 6.76/5.45 ((node26(s95) | (~until27(s95)) | xuntil28(s95)) <=> (xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27276,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27275])).
% 6.76/5.45 tff(27277,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27276, 27274])).
% 6.76/5.45 tff(27278,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27279,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27278, 27277])).
% 6.76/5.45 tff(27280,plain,
% 6.76/5.45 (xuntil28(s95)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27279, 15561, 27273, 25300])).
% 6.76/5.45 tff(27281,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27282,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27283,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27282, 27281])).
% 6.76/5.45 tff(27284,plain,
% 6.76/5.45 ((~xuntil28(s95)) | until27(s96)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27283, 7970, 15580])).
% 6.76/5.45 tff(27285,plain,
% 6.76/5.45 (until27(s96)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27284, 27280])).
% 6.76/5.45 tff(27286,plain,
% 6.76/5.45 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27287,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27288,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27287, 27286])).
% 6.76/5.45 tff(27289,plain,
% 6.76/5.45 (~node26(s96)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27288, 15543, 25291])).
% 6.76/5.45 tff(27290,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27291,plain,
% 6.76/5.45 ((node26(s96) | (~until27(s96)) | xuntil28(s96)) <=> (xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27292,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27291])).
% 6.76/5.45 tff(27293,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27292, 27290])).
% 6.76/5.45 tff(27294,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27295,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 6.76/5.45 tff(27296,plain,
% 6.76/5.45 (xuntil28(s96) | (~until27(s96))),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27295, 15561, 27289])).
% 6.76/5.45 tff(27297,plain,
% 6.76/5.45 (xuntil28(s96)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27296, 27285])).
% 6.76/5.45 tff(27298,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27299,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27300,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 6.76/5.45 tff(27301,plain,
% 6.76/5.45 ((~xuntil28(s96)) | until27(s97)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27300, 8031, 15580])).
% 6.76/5.45 tff(27302,plain,
% 6.76/5.45 (until27(s97)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27301, 27297])).
% 6.76/5.45 tff(27303,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27304,plain,
% 6.76/5.45 ((node26(s97) | (~until27(s97)) | xuntil28(s97)) <=> (xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27305,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27304])).
% 6.76/5.45 tff(27306,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27305, 27303])).
% 6.76/5.45 tff(27307,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27308,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 6.76/5.45 tff(27309,plain,
% 6.76/5.45 (xuntil28(s97)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27308, 15561, 27302, 25284])).
% 6.76/5.45 tff(27310,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27311,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27312,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 6.76/5.45 tff(27313,plain,
% 6.76/5.45 ((~xuntil28(s97)) | until27(s98)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27312, 8126, 15580])).
% 6.76/5.45 tff(27314,plain,
% 6.76/5.45 (until27(s98)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27313, 27309])).
% 6.76/5.45 tff(27315,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27316,plain,
% 6.76/5.45 ((node26(s98) | (~until27(s98)) | xuntil28(s98)) <=> (xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27317,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27316])).
% 6.76/5.45 tff(27318,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27317, 27315])).
% 6.76/5.45 tff(27319,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27320,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 6.76/5.45 tff(27321,plain,
% 6.76/5.45 (xuntil28(s98) | node26(s98)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27320, 15561, 27314])).
% 6.76/5.45 tff(27322,plain,
% 6.76/5.45 (xuntil28(s98)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27321, 25280])).
% 6.76/5.45 tff(27323,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27324,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27325,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 6.76/5.45 tff(27326,plain,
% 6.76/5.45 ((~xuntil28(s98)) | until27(s99)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27325, 8190, 15580])).
% 6.76/5.45 tff(27327,plain,
% 6.76/5.45 (until27(s99)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27326, 27322])).
% 6.76/5.45 tff(27328,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27329,plain,
% 6.76/5.45 ((node26(s99) | (~until27(s99)) | xuntil28(s99)) <=> (xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27330,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27329])).
% 6.76/5.45 tff(27331,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27330, 27328])).
% 6.76/5.45 tff(27332,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27333,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 6.76/5.45 tff(27334,plain,
% 6.76/5.45 (xuntil28(s99)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27333, 15561, 27327, 25271])).
% 6.76/5.45 tff(27335,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27336,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27337,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27336, 27335])).
% 6.76/5.45 tff(27338,plain,
% 6.76/5.45 ((~xuntil28(s99)) | until27(s100)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27337, 8265, 15580])).
% 6.76/5.45 tff(27339,plain,
% 6.76/5.45 (until27(s100)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27338, 27334])).
% 6.76/5.45 tff(27340,plain,
% 6.76/5.45 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27341,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27342,plain,
% 6.76/5.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 6.76/5.45 tff(27343,plain,
% 6.76/5.45 (~node26(s100)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27342, 15543, 25262])).
% 6.76/5.45 tff(27344,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27345,plain,
% 6.76/5.45 ((node26(s100) | (~until27(s100)) | xuntil28(s100)) <=> (xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27346,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27345])).
% 6.76/5.45 tff(27347,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27346, 27344])).
% 6.76/5.45 tff(27348,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27349,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27348, 27347])).
% 6.76/5.45 tff(27350,plain,
% 6.76/5.45 (xuntil28(s100) | (~until27(s100))),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27349, 15561, 27343])).
% 6.76/5.45 tff(27351,plain,
% 6.76/5.45 (xuntil28(s100)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27350, 27339])).
% 6.76/5.45 tff(27352,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27353,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27354,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27353, 27352])).
% 6.76/5.45 tff(27355,plain,
% 6.76/5.45 ((~xuntil28(s100)) | until27(s101)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27354, 8354, 15580])).
% 6.76/5.45 tff(27356,plain,
% 6.76/5.45 (until27(s101)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27355, 27351])).
% 6.76/5.45 tff(27357,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27358,plain,
% 6.76/5.45 ((node26(s101) | (~until27(s101)) | xuntil28(s101)) <=> (xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27359,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27358])).
% 6.76/5.45 tff(27360,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27359, 27357])).
% 6.76/5.45 tff(27361,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27362,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27361, 27360])).
% 6.76/5.45 tff(27363,plain,
% 6.76/5.45 (xuntil28(s101)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27362, 15561, 27356, 25255])).
% 6.76/5.45 tff(27364,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27365,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27366,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27365, 27364])).
% 6.76/5.45 tff(27367,plain,
% 6.76/5.45 ((~xuntil28(s101)) | until27(s102)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27366, 8421, 15580])).
% 6.76/5.45 tff(27368,plain,
% 6.76/5.45 (until27(s102)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27367, 27363])).
% 6.76/5.45 tff(27369,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27370,plain,
% 6.76/5.45 ((node26(s102) | (~until27(s102)) | xuntil28(s102)) <=> (xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27371,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27370])).
% 6.76/5.45 tff(27372,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27371, 27369])).
% 6.76/5.45 tff(27373,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27374,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 6.76/5.45 tff(27375,plain,
% 6.76/5.45 (xuntil28(s102) | node26(s102)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27374, 15561, 27368])).
% 6.76/5.45 tff(27376,plain,
% 6.76/5.45 (xuntil28(s102)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27375, 25251])).
% 6.76/5.45 tff(27377,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27378,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27379,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 6.76/5.45 tff(27380,plain,
% 6.76/5.45 ((~xuntil28(s102)) | until27(s103)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27379, 8520, 15580])).
% 6.76/5.45 tff(27381,plain,
% 6.76/5.45 (until27(s103)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27380, 27376])).
% 6.76/5.45 tff(27382,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27383,plain,
% 6.76/5.45 ((node26(s103) | (~until27(s103)) | xuntil28(s103)) <=> (xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27384,plain,
% 6.76/5.45 (((~![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))))),
% 6.76/5.45 inference(monotonicity,[status(thm)],[27383])).
% 6.76/5.45 tff(27385,plain,
% 6.76/5.45 (((~![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)))),
% 6.76/5.45 inference(transitivity,[status(thm)],[27384, 27382])).
% 6.76/5.45 tff(27386,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27387,plain,
% 6.76/5.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103))),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 6.76/5.45 tff(27388,plain,
% 6.76/5.45 (xuntil28(s103)),
% 6.76/5.45 inference(unit_resolution,[status(thm)],[27387, 15561, 27381, 25242])).
% 6.76/5.45 tff(27389,plain,
% 6.76/5.45 (((~![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))),
% 6.76/5.45 inference(rewrite,[status(thm)],[])).
% 6.76/5.45 tff(27390,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))),
% 6.76/5.45 inference(quant_inst,[status(thm)],[])).
% 6.76/5.45 tff(27391,plain,
% 6.76/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104)),
% 6.76/5.45 inference(modus_ponens,[status(thm)],[27390, 27389])).
% 6.76/5.45 tff(27392,plain,
% 6.76/5.45 ((~xuntil28(s103)) | until27(s104)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27391, 8598, 15580])).
% 6.76/5.46 tff(27393,plain,
% 6.76/5.46 (until27(s104)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27392, 27388])).
% 6.76/5.46 tff(27394,plain,
% 6.76/5.46 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27395,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27396,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27395, 27394])).
% 6.76/5.46 tff(27397,plain,
% 6.76/5.46 (~node26(s104)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27396, 15543, 25233])).
% 6.76/5.46 tff(27398,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27399,plain,
% 6.76/5.46 ((node26(s104) | (~until27(s104)) | xuntil28(s104)) <=> (xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27400,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27399])).
% 6.76/5.46 tff(27401,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27400, 27398])).
% 6.76/5.46 tff(27402,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27403,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 6.76/5.46 tff(27404,plain,
% 6.76/5.46 (xuntil28(s104) | (~until27(s104))),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27403, 15561, 27397])).
% 6.76/5.46 tff(27405,plain,
% 6.76/5.46 (xuntil28(s104)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27404, 27393])).
% 6.76/5.46 tff(27406,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27407,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27408,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 6.76/5.46 tff(27409,plain,
% 6.76/5.46 ((~xuntil28(s104)) | until27(s105)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27408, 8659, 15580])).
% 6.76/5.46 tff(27410,plain,
% 6.76/5.46 (until27(s105)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27409, 27405])).
% 6.76/5.46 tff(27411,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27412,plain,
% 6.76/5.46 ((node26(s105) | (~until27(s105)) | xuntil28(s105)) <=> (xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27413,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27412])).
% 6.76/5.46 tff(27414,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27413, 27411])).
% 6.76/5.46 tff(27415,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27416,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 6.76/5.46 tff(27417,plain,
% 6.76/5.46 (xuntil28(s105)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27416, 15561, 27410, 25226])).
% 6.76/5.46 tff(27418,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27419,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27420,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 6.76/5.46 tff(27421,plain,
% 6.76/5.46 ((~xuntil28(s105)) | until27(s106)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27420, 8754, 15580])).
% 6.76/5.46 tff(27422,plain,
% 6.76/5.46 (until27(s106)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27421, 27417])).
% 6.76/5.46 tff(27423,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27424,plain,
% 6.76/5.46 ((node26(s106) | (~until27(s106)) | xuntil28(s106)) <=> (xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27425,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27424])).
% 6.76/5.46 tff(27426,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27425, 27423])).
% 6.76/5.46 tff(27427,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27428,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27427, 27426])).
% 6.76/5.46 tff(27429,plain,
% 6.76/5.46 (xuntil28(s106) | node26(s106)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27428, 15561, 27422])).
% 6.76/5.46 tff(27430,plain,
% 6.76/5.46 (xuntil28(s106)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27429, 25222])).
% 6.76/5.46 tff(27431,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27432,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27433,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27432, 27431])).
% 6.76/5.46 tff(27434,plain,
% 6.76/5.46 ((~xuntil28(s106)) | until27(s107)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27433, 8818, 15580])).
% 6.76/5.46 tff(27435,plain,
% 6.76/5.46 (until27(s107)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27434, 27430])).
% 6.76/5.46 tff(27436,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27437,plain,
% 6.76/5.46 ((node26(s107) | (~until27(s107)) | xuntil28(s107)) <=> (xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27438,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27437])).
% 6.76/5.46 tff(27439,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27438, 27436])).
% 6.76/5.46 tff(27440,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27441,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27440, 27439])).
% 6.76/5.46 tff(27442,plain,
% 6.76/5.46 (xuntil28(s107)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27441, 15561, 27435, 25213])).
% 6.76/5.46 tff(27443,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27444,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27445,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27444, 27443])).
% 6.76/5.46 tff(27446,plain,
% 6.76/5.46 ((~xuntil28(s107)) | until27(s108)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27445, 8893, 15580])).
% 6.76/5.46 tff(27447,plain,
% 6.76/5.46 (until27(s108)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27446, 27442])).
% 6.76/5.46 tff(27448,plain,
% 6.76/5.46 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27449,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27450,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27449, 27448])).
% 6.76/5.46 tff(27451,plain,
% 6.76/5.46 (~node26(s108)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27450, 15543, 25204])).
% 6.76/5.46 tff(27452,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27453,plain,
% 6.76/5.46 ((node26(s108) | (~until27(s108)) | xuntil28(s108)) <=> (xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27454,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27453])).
% 6.76/5.46 tff(27455,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27454, 27452])).
% 6.76/5.46 tff(27456,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27457,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 6.76/5.46 tff(27458,plain,
% 6.76/5.46 (xuntil28(s108) | (~until27(s108))),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27457, 15561, 27451])).
% 6.76/5.46 tff(27459,plain,
% 6.76/5.46 (xuntil28(s108)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27458, 27447])).
% 6.76/5.46 tff(27460,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27461,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27462,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27461, 27460])).
% 6.76/5.46 tff(27463,plain,
% 6.76/5.46 ((~xuntil28(s108)) | until27(s109)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27462, 8982, 15580])).
% 6.76/5.46 tff(27464,plain,
% 6.76/5.46 (until27(s109)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27463, 27459])).
% 6.76/5.46 tff(27465,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27466,plain,
% 6.76/5.46 ((node26(s109) | (~until27(s109)) | xuntil28(s109)) <=> (xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27467,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27466])).
% 6.76/5.46 tff(27468,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27467, 27465])).
% 6.76/5.46 tff(27469,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27470,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 6.76/5.46 tff(27471,plain,
% 6.76/5.46 (xuntil28(s109)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27470, 15561, 27464, 25197])).
% 6.76/5.46 tff(27472,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27473,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27474,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 6.76/5.46 tff(27475,plain,
% 6.76/5.46 ((~xuntil28(s109)) | until27(s110)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27474, 9049, 15580])).
% 6.76/5.46 tff(27476,plain,
% 6.76/5.46 (until27(s110)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27475, 27471])).
% 6.76/5.46 tff(27477,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27478,plain,
% 6.76/5.46 ((node26(s110) | (~until27(s110)) | xuntil28(s110)) <=> (xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27479,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27478])).
% 6.76/5.46 tff(27480,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27479, 27477])).
% 6.76/5.46 tff(27481,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27482,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27481, 27480])).
% 6.76/5.46 tff(27483,plain,
% 6.76/5.46 (xuntil28(s110) | node26(s110)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27482, 15561, 27476])).
% 6.76/5.46 tff(27484,plain,
% 6.76/5.46 (xuntil28(s110)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27483, 25193])).
% 6.76/5.46 tff(27485,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27486,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27487,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 6.76/5.46 tff(27488,plain,
% 6.76/5.46 ((~xuntil28(s110)) | until27(s111)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27487, 9148, 15580])).
% 6.76/5.46 tff(27489,plain,
% 6.76/5.46 (until27(s111)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27488, 27484])).
% 6.76/5.46 tff(27490,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27491,plain,
% 6.76/5.46 ((node26(s111) | (~until27(s111)) | xuntil28(s111)) <=> (xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27492,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27491])).
% 6.76/5.46 tff(27493,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27492, 27490])).
% 6.76/5.46 tff(27494,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27495,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27494, 27493])).
% 6.76/5.46 tff(27496,plain,
% 6.76/5.46 (xuntil28(s111)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27495, 15561, 27489, 25184])).
% 6.76/5.46 tff(27497,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27498,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27499,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27498, 27497])).
% 6.76/5.46 tff(27500,plain,
% 6.76/5.46 ((~xuntil28(s111)) | until27(s112)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27499, 9226, 15580])).
% 6.76/5.46 tff(27501,plain,
% 6.76/5.46 (until27(s112)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27500, 27496])).
% 6.76/5.46 tff(27502,plain,
% 6.76/5.46 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27503,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27504,plain,
% 6.76/5.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27503, 27502])).
% 6.76/5.46 tff(27505,plain,
% 6.76/5.46 (~node26(s112)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27504, 15543, 25175])).
% 6.76/5.46 tff(27506,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27507,plain,
% 6.76/5.46 ((node26(s112) | (~until27(s112)) | xuntil28(s112)) <=> (xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27508,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27507])).
% 6.76/5.46 tff(27509,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27508, 27506])).
% 6.76/5.46 tff(27510,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27511,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 6.76/5.46 tff(27512,plain,
% 6.76/5.46 (xuntil28(s112) | (~until27(s112))),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27511, 15561, 27505])).
% 6.76/5.46 tff(27513,plain,
% 6.76/5.46 (xuntil28(s112)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27512, 27501])).
% 6.76/5.46 tff(27514,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27515,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27516,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27515, 27514])).
% 6.76/5.46 tff(27517,plain,
% 6.76/5.46 ((~xuntil28(s112)) | until27(s113)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27516, 9287, 15580])).
% 6.76/5.46 tff(27518,plain,
% 6.76/5.46 (until27(s113)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27517, 27513])).
% 6.76/5.46 tff(27519,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27520,plain,
% 6.76/5.46 ((node26(s113) | (~until27(s113)) | xuntil28(s113)) <=> (xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27521,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27520])).
% 6.76/5.46 tff(27522,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27521, 27519])).
% 6.76/5.46 tff(27523,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27524,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27523, 27522])).
% 6.76/5.46 tff(27525,plain,
% 6.76/5.46 (xuntil28(s113)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27524, 15561, 27518, 25168])).
% 6.76/5.46 tff(27526,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27527,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27528,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 6.76/5.46 tff(27529,plain,
% 6.76/5.46 ((~xuntil28(s113)) | until27(s114)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27528, 9382, 15580])).
% 6.76/5.46 tff(27530,plain,
% 6.76/5.46 (until27(s114)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27529, 27525])).
% 6.76/5.46 tff(27531,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27532,plain,
% 6.76/5.46 ((node26(s114) | (~until27(s114)) | xuntil28(s114)) <=> (xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27533,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27532])).
% 6.76/5.46 tff(27534,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27533, 27531])).
% 6.76/5.46 tff(27535,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27536,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27535, 27534])).
% 6.76/5.46 tff(27537,plain,
% 6.76/5.46 (xuntil28(s114) | node26(s114)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27536, 15561, 27530])).
% 6.76/5.46 tff(27538,plain,
% 6.76/5.46 (xuntil28(s114)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27537, 25164])).
% 6.76/5.46 tff(27539,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27540,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27541,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 6.76/5.46 tff(27542,plain,
% 6.76/5.46 ((~xuntil28(s114)) | until27(s115)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27541, 9446, 15580])).
% 6.76/5.46 tff(27543,plain,
% 6.76/5.46 (until27(s115)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27542, 27538])).
% 6.76/5.46 tff(27544,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27545,plain,
% 6.76/5.46 ((node26(s115) | (~until27(s115)) | xuntil28(s115)) <=> (xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27546,plain,
% 6.76/5.46 (((~![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))))),
% 6.76/5.46 inference(monotonicity,[status(thm)],[27545])).
% 6.76/5.46 tff(27547,plain,
% 6.76/5.46 (((~![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)))),
% 6.76/5.46 inference(transitivity,[status(thm)],[27546, 27544])).
% 6.76/5.46 tff(27548,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27549,plain,
% 6.76/5.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115))),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 6.76/5.46 tff(27550,plain,
% 6.76/5.46 (xuntil28(s115)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27549, 15561, 27543, 25155])).
% 6.76/5.46 tff(27551,plain,
% 6.76/5.46 (((~![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))),
% 6.76/5.46 inference(rewrite,[status(thm)],[])).
% 6.76/5.46 tff(27552,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))),
% 6.76/5.46 inference(quant_inst,[status(thm)],[])).
% 6.76/5.46 tff(27553,plain,
% 6.76/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116)),
% 6.76/5.46 inference(modus_ponens,[status(thm)],[27552, 27551])).
% 6.76/5.46 tff(27554,plain,
% 6.76/5.46 ((~xuntil28(s115)) | until27(s116)),
% 6.76/5.46 inference(unit_resolution,[status(thm)],[27553, 9521, 15580])).
% 6.76/5.47 tff(27555,plain,
% 6.76/5.47 (until27(s116)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27554, 27550])).
% 6.76/5.47 tff(27556,plain,
% 6.76/5.47 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27557,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27558,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27557, 27556])).
% 6.76/5.47 tff(27559,plain,
% 6.76/5.47 (~node26(s116)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27558, 15543, 25146])).
% 6.76/5.47 tff(27560,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27561,plain,
% 6.76/5.47 ((node26(s116) | (~until27(s116)) | xuntil28(s116)) <=> (xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27562,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27561])).
% 6.76/5.47 tff(27563,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27562, 27560])).
% 6.76/5.47 tff(27564,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27565,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27564, 27563])).
% 6.76/5.47 tff(27566,plain,
% 6.76/5.47 (xuntil28(s116) | (~until27(s116))),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27565, 15561, 27559])).
% 6.76/5.47 tff(27567,plain,
% 6.76/5.47 (xuntil28(s116)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27566, 27555])).
% 6.76/5.47 tff(27568,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27569,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27570,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27569, 27568])).
% 6.76/5.47 tff(27571,plain,
% 6.76/5.47 ((~xuntil28(s116)) | until27(s117)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27570, 9610, 15580])).
% 6.76/5.47 tff(27572,plain,
% 6.76/5.47 (until27(s117)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27571, 27567])).
% 6.76/5.47 tff(27573,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27574,plain,
% 6.76/5.47 ((node26(s117) | (~until27(s117)) | xuntil28(s117)) <=> (xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27575,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27574])).
% 6.76/5.47 tff(27576,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27575, 27573])).
% 6.76/5.47 tff(27577,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27578,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27577, 27576])).
% 6.76/5.47 tff(27579,plain,
% 6.76/5.47 (xuntil28(s117)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27578, 15561, 27572, 25139])).
% 6.76/5.47 tff(27580,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27581,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27582,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27581, 27580])).
% 6.76/5.47 tff(27583,plain,
% 6.76/5.47 ((~xuntil28(s117)) | until27(s118)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27582, 9677, 15580])).
% 6.76/5.47 tff(27584,plain,
% 6.76/5.47 (until27(s118)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27583, 27579])).
% 6.76/5.47 tff(27585,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27586,plain,
% 6.76/5.47 ((node26(s118) | (~until27(s118)) | xuntil28(s118)) <=> (xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27587,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27586])).
% 6.76/5.47 tff(27588,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27587, 27585])).
% 6.76/5.47 tff(27589,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27590,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27589, 27588])).
% 6.76/5.47 tff(27591,plain,
% 6.76/5.47 (xuntil28(s118) | node26(s118)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27590, 15561, 27584])).
% 6.76/5.47 tff(27592,plain,
% 6.76/5.47 (xuntil28(s118)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27591, 25135])).
% 6.76/5.47 tff(27593,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27594,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27595,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27594, 27593])).
% 6.76/5.47 tff(27596,plain,
% 6.76/5.47 ((~xuntil28(s118)) | until27(s119)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27595, 9776, 15580])).
% 6.76/5.47 tff(27597,plain,
% 6.76/5.47 (until27(s119)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27596, 27592])).
% 6.76/5.47 tff(27598,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27599,plain,
% 6.76/5.47 ((node26(s119) | (~until27(s119)) | xuntil28(s119)) <=> (xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27600,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27599])).
% 6.76/5.47 tff(27601,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27600, 27598])).
% 6.76/5.47 tff(27602,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27603,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27602, 27601])).
% 6.76/5.47 tff(27604,plain,
% 6.76/5.47 (xuntil28(s119)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27603, 15561, 27597, 25126])).
% 6.76/5.47 tff(27605,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27606,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27607,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 6.76/5.47 tff(27608,plain,
% 6.76/5.47 ((~xuntil28(s119)) | until27(s120)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27607, 9854, 15580])).
% 6.76/5.47 tff(27609,plain,
% 6.76/5.47 (until27(s120)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27608, 27604])).
% 6.76/5.47 tff(27610,plain,
% 6.76/5.47 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27611,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27612,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27611, 27610])).
% 6.76/5.47 tff(27613,plain,
% 6.76/5.47 (~node26(s120)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27612, 15543, 25117])).
% 6.76/5.47 tff(27614,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27615,plain,
% 6.76/5.47 ((node26(s120) | (~until27(s120)) | xuntil28(s120)) <=> (xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27616,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27615])).
% 6.76/5.47 tff(27617,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27616, 27614])).
% 6.76/5.47 tff(27618,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27619,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 6.76/5.47 tff(27620,plain,
% 6.76/5.47 (xuntil28(s120) | (~until27(s120))),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27619, 15561, 27613])).
% 6.76/5.47 tff(27621,plain,
% 6.76/5.47 (xuntil28(s120)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27620, 27609])).
% 6.76/5.47 tff(27622,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27623,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27624,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 6.76/5.47 tff(27625,plain,
% 6.76/5.47 ((~xuntil28(s120)) | until27(s121)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27624, 9915, 15580])).
% 6.76/5.47 tff(27626,plain,
% 6.76/5.47 (until27(s121)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27625, 27621])).
% 6.76/5.47 tff(27627,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27628,plain,
% 6.76/5.47 ((node26(s121) | (~until27(s121)) | xuntil28(s121)) <=> (xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27629,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27628])).
% 6.76/5.47 tff(27630,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27629, 27627])).
% 6.76/5.47 tff(27631,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27632,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27631, 27630])).
% 6.76/5.47 tff(27633,plain,
% 6.76/5.47 (xuntil28(s121)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27632, 15561, 27626, 25110])).
% 6.76/5.47 tff(27634,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27635,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27636,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 6.76/5.47 tff(27637,plain,
% 6.76/5.47 ((~xuntil28(s121)) | until27(s122)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27636, 10010, 15580])).
% 6.76/5.47 tff(27638,plain,
% 6.76/5.47 (until27(s122)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27637, 27633])).
% 6.76/5.47 tff(27639,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27640,plain,
% 6.76/5.47 ((node26(s122) | (~until27(s122)) | xuntil28(s122)) <=> (xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27641,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27640])).
% 6.76/5.47 tff(27642,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27641, 27639])).
% 6.76/5.47 tff(27643,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27644,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27643, 27642])).
% 6.76/5.47 tff(27645,plain,
% 6.76/5.47 (xuntil28(s122) | node26(s122)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27644, 15561, 27638])).
% 6.76/5.47 tff(27646,plain,
% 6.76/5.47 (xuntil28(s122)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27645, 25106])).
% 6.76/5.47 tff(27647,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27648,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27649,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 6.76/5.47 tff(27650,plain,
% 6.76/5.47 ((~xuntil28(s122)) | until27(s123)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27649, 10074, 15580])).
% 6.76/5.47 tff(27651,plain,
% 6.76/5.47 (until27(s123)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27650, 27646])).
% 6.76/5.47 tff(27652,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27653,plain,
% 6.76/5.47 ((node26(s123) | (~until27(s123)) | xuntil28(s123)) <=> (xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27654,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27653])).
% 6.76/5.47 tff(27655,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27654, 27652])).
% 6.76/5.47 tff(27656,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27657,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27656, 27655])).
% 6.76/5.47 tff(27658,plain,
% 6.76/5.47 (xuntil28(s123)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27657, 15561, 27651, 25097])).
% 6.76/5.47 tff(27659,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27660,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27661,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27660, 27659])).
% 6.76/5.47 tff(27662,plain,
% 6.76/5.47 ((~xuntil28(s123)) | until27(s124)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27661, 10149, 15580])).
% 6.76/5.47 tff(27663,plain,
% 6.76/5.47 (until27(s124)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27662, 27658])).
% 6.76/5.47 tff(27664,plain,
% 6.76/5.47 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27665,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27666,plain,
% 6.76/5.47 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 6.76/5.47 tff(27667,plain,
% 6.76/5.47 (~node26(s124)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27666, 15543, 25088])).
% 6.76/5.47 tff(27668,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27669,plain,
% 6.76/5.47 ((node26(s124) | (~until27(s124)) | xuntil28(s124)) <=> (xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27670,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27669])).
% 6.76/5.47 tff(27671,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27670, 27668])).
% 6.76/5.47 tff(27672,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27673,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 6.76/5.47 tff(27674,plain,
% 6.76/5.47 (xuntil28(s124) | (~until27(s124))),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27673, 15561, 27667])).
% 6.76/5.47 tff(27675,plain,
% 6.76/5.47 (xuntil28(s124)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27674, 27663])).
% 6.76/5.47 tff(27676,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27677,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27678,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 6.76/5.47 tff(27679,plain,
% 6.76/5.47 ((~xuntil28(s124)) | until27(s125)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27678, 10238, 15580])).
% 6.76/5.47 tff(27680,plain,
% 6.76/5.47 (until27(s125)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27679, 27675])).
% 6.76/5.47 tff(27681,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27682,plain,
% 6.76/5.47 ((node26(s125) | (~until27(s125)) | xuntil28(s125)) <=> (xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27683,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27682])).
% 6.76/5.47 tff(27684,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27683, 27681])).
% 6.76/5.47 tff(27685,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27686,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27685, 27684])).
% 6.76/5.47 tff(27687,plain,
% 6.76/5.47 (xuntil28(s125)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27686, 15561, 27680, 25081])).
% 6.76/5.47 tff(27688,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27689,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27690,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27689, 27688])).
% 6.76/5.47 tff(27691,plain,
% 6.76/5.47 ((~xuntil28(s125)) | until27(s126)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27690, 10305, 15580])).
% 6.76/5.47 tff(27692,plain,
% 6.76/5.47 (until27(s126)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27691, 27687])).
% 6.76/5.47 tff(27693,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27694,plain,
% 6.76/5.47 ((node26(s126) | (~until27(s126)) | xuntil28(s126)) <=> (xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27695,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27694])).
% 6.76/5.47 tff(27696,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27695, 27693])).
% 6.76/5.47 tff(27697,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27698,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27697, 27696])).
% 6.76/5.47 tff(27699,plain,
% 6.76/5.47 (xuntil28(s126) | node26(s126)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27698, 15561, 27692])).
% 6.76/5.47 tff(27700,plain,
% 6.76/5.47 (xuntil28(s126)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27699, 25077])).
% 6.76/5.47 tff(27701,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27702,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27703,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27702, 27701])).
% 6.76/5.47 tff(27704,plain,
% 6.76/5.47 ((~xuntil28(s126)) | until27(s127)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27703, 10404, 15580])).
% 6.76/5.47 tff(27705,plain,
% 6.76/5.47 (until27(s127)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27704, 27700])).
% 6.76/5.47 tff(27706,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27707,plain,
% 6.76/5.47 ((node26(s127) | (~until27(s127)) | xuntil28(s127)) <=> (xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27708,plain,
% 6.76/5.47 (((~![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))))),
% 6.76/5.47 inference(monotonicity,[status(thm)],[27707])).
% 6.76/5.47 tff(27709,plain,
% 6.76/5.47 (((~![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)))),
% 6.76/5.47 inference(transitivity,[status(thm)],[27708, 27706])).
% 6.76/5.47 tff(27710,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27711,plain,
% 6.76/5.47 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127))),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27710, 27709])).
% 6.76/5.47 tff(27712,plain,
% 6.76/5.47 (xuntil28(s127)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27711, 15561, 27705, 25068])).
% 6.76/5.47 tff(27713,plain,
% 6.76/5.47 (((~![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))),
% 6.76/5.47 inference(rewrite,[status(thm)],[])).
% 6.76/5.47 tff(27714,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))),
% 6.76/5.47 inference(quant_inst,[status(thm)],[])).
% 6.76/5.47 tff(27715,plain,
% 6.76/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128)),
% 6.76/5.47 inference(modus_ponens,[status(thm)],[27714, 27713])).
% 6.76/5.47 tff(27716,plain,
% 6.76/5.47 ((~xuntil28(s127)) | until27(s128)),
% 6.76/5.47 inference(unit_resolution,[status(thm)],[27715, 10482, 15580])).
% 6.76/5.48 tff(27717,plain,
% 6.76/5.48 (until27(s128)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27716, 27712])).
% 6.76/5.48 tff(27718,plain,
% 6.76/5.48 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27719,plain,
% 6.76/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27720,plain,
% 6.76/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27719, 27718])).
% 6.76/5.48 tff(27721,plain,
% 6.76/5.48 (~node26(s128)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27720, 15543, 25059])).
% 6.76/5.48 tff(27722,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27723,plain,
% 6.76/5.48 ((node26(s128) | (~until27(s128)) | xuntil28(s128)) <=> (xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27724,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27723])).
% 6.76/5.48 tff(27725,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27724, 27722])).
% 6.76/5.48 tff(27726,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27727,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27726, 27725])).
% 6.76/5.48 tff(27728,plain,
% 6.76/5.48 (xuntil28(s128) | (~until27(s128))),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27727, 15561, 27721])).
% 6.76/5.48 tff(27729,plain,
% 6.76/5.48 (xuntil28(s128)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27728, 27717])).
% 6.76/5.48 tff(27730,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27731,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27732,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 6.76/5.48 tff(27733,plain,
% 6.76/5.48 ((~xuntil28(s128)) | until27(s129)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27732, 10543, 15580])).
% 6.76/5.48 tff(27734,plain,
% 6.76/5.48 (until27(s129)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27733, 27729])).
% 6.76/5.48 tff(27735,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27736,plain,
% 6.76/5.48 ((node26(s129) | (~until27(s129)) | xuntil28(s129)) <=> (xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27737,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27736])).
% 6.76/5.48 tff(27738,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27737, 27735])).
% 6.76/5.48 tff(27739,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27740,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 6.76/5.48 tff(27741,plain,
% 6.76/5.48 (xuntil28(s129)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27740, 15561, 27734, 25052])).
% 6.76/5.48 tff(27742,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27743,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27744,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 6.76/5.48 tff(27745,plain,
% 6.76/5.48 ((~xuntil28(s129)) | until27(s130)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27744, 10638, 15580])).
% 6.76/5.48 tff(27746,plain,
% 6.76/5.48 (until27(s130)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27745, 27741])).
% 6.76/5.48 tff(27747,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27748,plain,
% 6.76/5.48 ((node26(s130) | (~until27(s130)) | xuntil28(s130)) <=> (xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27749,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27748])).
% 6.76/5.48 tff(27750,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27749, 27747])).
% 6.76/5.48 tff(27751,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27752,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 6.76/5.48 tff(27753,plain,
% 6.76/5.48 (xuntil28(s130) | node26(s130)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27752, 15561, 27746])).
% 6.76/5.48 tff(27754,plain,
% 6.76/5.48 (xuntil28(s130)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27753, 25048])).
% 6.76/5.48 tff(27755,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27756,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27757,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27756, 27755])).
% 6.76/5.48 tff(27758,plain,
% 6.76/5.48 ((~xuntil28(s130)) | until27(s131)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27757, 10702, 15580])).
% 6.76/5.48 tff(27759,plain,
% 6.76/5.48 (until27(s131)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27758, 27754])).
% 6.76/5.48 tff(27760,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27761,plain,
% 6.76/5.48 ((node26(s131) | (~until27(s131)) | xuntil28(s131)) <=> (xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27762,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27761])).
% 6.76/5.48 tff(27763,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27762, 27760])).
% 6.76/5.48 tff(27764,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27765,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 6.76/5.48 tff(27766,plain,
% 6.76/5.48 (xuntil28(s131)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27765, 15561, 27759, 25039])).
% 6.76/5.48 tff(27767,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27768,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27769,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27768, 27767])).
% 6.76/5.48 tff(27770,plain,
% 6.76/5.48 ((~xuntil28(s131)) | until27(s132)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27769, 10777, 15580])).
% 6.76/5.48 tff(27771,plain,
% 6.76/5.48 (until27(s132)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27770, 27766])).
% 6.76/5.48 tff(27772,plain,
% 6.76/5.48 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27773,plain,
% 6.76/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27774,plain,
% 6.76/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 6.76/5.48 tff(27775,plain,
% 6.76/5.48 (~node26(s132)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27774, 15543, 25030])).
% 6.76/5.48 tff(27776,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27777,plain,
% 6.76/5.48 ((node26(s132) | (~until27(s132)) | xuntil28(s132)) <=> (xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27778,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27777])).
% 6.76/5.48 tff(27779,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27778, 27776])).
% 6.76/5.48 tff(27780,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27781,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 6.76/5.48 tff(27782,plain,
% 6.76/5.48 (xuntil28(s132) | (~until27(s132))),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27781, 15561, 27775])).
% 6.76/5.48 tff(27783,plain,
% 6.76/5.48 (xuntil28(s132)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27782, 27771])).
% 6.76/5.48 tff(27784,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27785,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27786,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27785, 27784])).
% 6.76/5.48 tff(27787,plain,
% 6.76/5.48 ((~xuntil28(s132)) | until27(s133)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27786, 10866, 15580])).
% 6.76/5.48 tff(27788,plain,
% 6.76/5.48 (until27(s133)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27787, 27783])).
% 6.76/5.48 tff(27789,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27790,plain,
% 6.76/5.48 ((node26(s133) | (~until27(s133)) | xuntil28(s133)) <=> (xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27791,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27790])).
% 6.76/5.48 tff(27792,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27791, 27789])).
% 6.76/5.48 tff(27793,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27794,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 6.76/5.48 tff(27795,plain,
% 6.76/5.48 (xuntil28(s133)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27794, 15561, 27788, 25023])).
% 6.76/5.48 tff(27796,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27797,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27798,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27797, 27796])).
% 6.76/5.48 tff(27799,plain,
% 6.76/5.48 ((~xuntil28(s133)) | until27(s134)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27798, 10933, 15580])).
% 6.76/5.48 tff(27800,plain,
% 6.76/5.48 (until27(s134)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27799, 27795])).
% 6.76/5.48 tff(27801,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27802,plain,
% 6.76/5.48 ((node26(s134) | (~until27(s134)) | xuntil28(s134)) <=> (xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27803,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27802])).
% 6.76/5.48 tff(27804,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27803, 27801])).
% 6.76/5.48 tff(27805,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27806,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27805, 27804])).
% 6.76/5.48 tff(27807,plain,
% 6.76/5.48 (xuntil28(s134) | node26(s134)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27806, 15561, 27800])).
% 6.76/5.48 tff(27808,plain,
% 6.76/5.48 (xuntil28(s134)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27807, 25019])).
% 6.76/5.48 tff(27809,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27810,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27811,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135)),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27810, 27809])).
% 6.76/5.48 tff(27812,plain,
% 6.76/5.48 ((~xuntil28(s134)) | until27(s135)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27811, 11032, 15580])).
% 6.76/5.48 tff(27813,plain,
% 6.76/5.48 (until27(s135)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27812, 27808])).
% 6.76/5.48 tff(27814,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27815,plain,
% 6.76/5.48 ((node26(s135) | (~until27(s135)) | xuntil28(s135)) <=> (xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27816,plain,
% 6.76/5.48 (((~![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))))),
% 6.76/5.48 inference(monotonicity,[status(thm)],[27815])).
% 6.76/5.48 tff(27817,plain,
% 6.76/5.48 (((~![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)))),
% 6.76/5.48 inference(transitivity,[status(thm)],[27816, 27814])).
% 6.76/5.48 tff(27818,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.76/5.48 tff(27819,plain,
% 6.76/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135))),
% 6.76/5.48 inference(modus_ponens,[status(thm)],[27818, 27817])).
% 6.76/5.48 tff(27820,plain,
% 6.76/5.48 (xuntil28(s135)),
% 6.76/5.48 inference(unit_resolution,[status(thm)],[27819, 15561, 27813, 25010])).
% 6.76/5.48 tff(27821,plain,
% 6.76/5.48 (((~![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))),
% 6.76/5.48 inference(rewrite,[status(thm)],[])).
% 6.76/5.48 tff(27822,plain,
% 6.76/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))),
% 6.76/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27823,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 6.85/5.48 tff(27824,plain,
% 6.85/5.48 ((~xuntil28(s135)) | until27(s136)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27823, 11110, 15580])).
% 6.85/5.48 tff(27825,plain,
% 6.85/5.48 (until27(s136)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27824, 27820])).
% 6.85/5.48 tff(27826,plain,
% 6.85/5.48 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27827,plain,
% 6.85/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27828,plain,
% 6.85/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 6.85/5.48 tff(27829,plain,
% 6.85/5.48 (~node26(s136)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27828, 15543, 25001])).
% 6.85/5.48 tff(27830,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27831,plain,
% 6.85/5.48 ((node26(s136) | (~until27(s136)) | xuntil28(s136)) <=> (xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27832,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27831])).
% 6.85/5.48 tff(27833,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(transitivity,[status(thm)],[27832, 27830])).
% 6.85/5.48 tff(27834,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27835,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27834, 27833])).
% 6.85/5.48 tff(27836,plain,
% 6.85/5.48 (xuntil28(s136) | (~until27(s136))),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27835, 15561, 27829])).
% 6.85/5.48 tff(27837,plain,
% 6.85/5.48 (xuntil28(s136)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27836, 27825])).
% 6.85/5.48 tff(27838,plain,
% 6.85/5.48 (((~![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))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27839,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27840,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27839, 27838])).
% 6.85/5.48 tff(27841,plain,
% 6.85/5.48 ((~xuntil28(s136)) | until27(s137)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27840, 11171, 15580])).
% 6.85/5.48 tff(27842,plain,
% 6.85/5.48 (until27(s137)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27841, 27837])).
% 6.85/5.48 tff(27843,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27844,plain,
% 6.85/5.48 ((node26(s137) | (~until27(s137)) | xuntil28(s137)) <=> (xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27845,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27844])).
% 6.85/5.48 tff(27846,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(transitivity,[status(thm)],[27845, 27843])).
% 6.85/5.48 tff(27847,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27848,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 6.85/5.48 tff(27849,plain,
% 6.85/5.48 (xuntil28(s137)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27848, 15561, 27842, 24994])).
% 6.85/5.48 tff(27850,plain,
% 6.85/5.48 (((~![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))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27851,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27852,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 6.85/5.48 tff(27853,plain,
% 6.85/5.48 ((~xuntil28(s137)) | until27(s138)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27852, 11266, 15580])).
% 6.85/5.48 tff(27854,plain,
% 6.85/5.48 (until27(s138)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27853, 27849])).
% 6.85/5.48 tff(27855,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27856,plain,
% 6.85/5.48 ((node26(s138) | (~until27(s138)) | xuntil28(s138)) <=> (xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27857,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27856])).
% 6.85/5.48 tff(27858,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(transitivity,[status(thm)],[27857, 27855])).
% 6.85/5.48 tff(27859,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27860,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27859, 27858])).
% 6.85/5.48 tff(27861,plain,
% 6.85/5.48 (xuntil28(s138) | node26(s138)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27860, 15561, 27854])).
% 6.85/5.48 tff(27862,plain,
% 6.85/5.48 (xuntil28(s138)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27861, 24990])).
% 6.85/5.48 tff(27863,plain,
% 6.85/5.48 (((~![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))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27864,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27865,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27864, 27863])).
% 6.85/5.48 tff(27866,plain,
% 6.85/5.48 ((~xuntil28(s138)) | until27(s139)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27865, 11330, 15580])).
% 6.85/5.48 tff(27867,plain,
% 6.85/5.48 (until27(s139)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27866, 27862])).
% 6.85/5.48 tff(27868,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27869,plain,
% 6.85/5.48 ((node26(s139) | (~until27(s139)) | xuntil28(s139)) <=> (xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27870,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27869])).
% 6.85/5.48 tff(27871,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(transitivity,[status(thm)],[27870, 27868])).
% 6.85/5.48 tff(27872,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27873,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27872, 27871])).
% 6.85/5.48 tff(27874,plain,
% 6.85/5.48 (xuntil28(s139)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27873, 15561, 27867, 24981])).
% 6.85/5.48 tff(27875,plain,
% 6.85/5.48 (((~![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))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27876,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27877,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 6.85/5.48 tff(27878,plain,
% 6.85/5.48 ((~xuntil28(s139)) | until27(s140)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27877, 11405, 15580])).
% 6.85/5.48 tff(27879,plain,
% 6.85/5.48 (until27(s140)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27878, 27874])).
% 6.85/5.48 tff(27880,plain,
% 6.85/5.48 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27881,plain,
% 6.85/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27882,plain,
% 6.85/5.48 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27881, 27880])).
% 6.85/5.48 tff(27883,plain,
% 6.85/5.48 (~node26(s140)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27882, 15543, 24972])).
% 6.85/5.48 tff(27884,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27885,plain,
% 6.85/5.48 ((node26(s140) | (~until27(s140)) | xuntil28(s140)) <=> (xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27886,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27885])).
% 6.85/5.48 tff(27887,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(transitivity,[status(thm)],[27886, 27884])).
% 6.85/5.48 tff(27888,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27889,plain,
% 6.85/5.48 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140))),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 6.85/5.48 tff(27890,plain,
% 6.85/5.48 (xuntil28(s140) | (~until27(s140))),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27889, 15561, 27883])).
% 6.85/5.48 tff(27891,plain,
% 6.85/5.48 (xuntil28(s140)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27890, 27879])).
% 6.85/5.48 tff(27892,plain,
% 6.85/5.48 (((~![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))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27893,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))),
% 6.85/5.48 inference(quant_inst,[status(thm)],[])).
% 6.85/5.48 tff(27894,plain,
% 6.85/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141)),
% 6.85/5.48 inference(modus_ponens,[status(thm)],[27893, 27892])).
% 6.85/5.48 tff(27895,plain,
% 6.85/5.48 ((~xuntil28(s140)) | until27(s141)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27894, 11494, 15580])).
% 6.85/5.48 tff(27896,plain,
% 6.85/5.48 (until27(s141)),
% 6.85/5.48 inference(unit_resolution,[status(thm)],[27895, 27891])).
% 6.85/5.48 tff(27897,plain,
% 6.85/5.48 (((~![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)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27898,plain,
% 6.85/5.48 ((node26(s141) | (~until27(s141)) | xuntil28(s141)) <=> (xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 6.85/5.48 inference(rewrite,[status(thm)],[])).
% 6.85/5.48 tff(27899,plain,
% 6.85/5.48 (((~![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))))),
% 6.85/5.48 inference(monotonicity,[status(thm)],[27898])).
% 6.85/5.49 tff(27900,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27899, 27897])).
% 6.85/5.49 tff(27901,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27902,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 6.85/5.49 tff(27903,plain,
% 6.85/5.49 (xuntil28(s141)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27902, 15561, 27896, 24965])).
% 6.85/5.49 tff(27904,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27905,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27906,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 6.85/5.49 tff(27907,plain,
% 6.85/5.49 ((~xuntil28(s141)) | until27(s142)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27906, 11561, 15580])).
% 6.85/5.49 tff(27908,plain,
% 6.85/5.49 (until27(s142)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27907, 27903])).
% 6.85/5.49 tff(27909,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27910,plain,
% 6.85/5.49 ((node26(s142) | (~until27(s142)) | xuntil28(s142)) <=> (xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27911,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27910])).
% 6.85/5.49 tff(27912,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27911, 27909])).
% 6.85/5.49 tff(27913,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27914,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27913, 27912])).
% 6.85/5.49 tff(27915,plain,
% 6.85/5.49 (xuntil28(s142) | node26(s142)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27914, 15561, 27908])).
% 6.85/5.49 tff(27916,plain,
% 6.85/5.49 (xuntil28(s142)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27915, 24961])).
% 6.85/5.49 tff(27917,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27918,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27919,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 6.85/5.49 tff(27920,plain,
% 6.85/5.49 ((~xuntil28(s142)) | until27(s143)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27919, 11660, 15580])).
% 6.85/5.49 tff(27921,plain,
% 6.85/5.49 (until27(s143)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27920, 27916])).
% 6.85/5.49 tff(27922,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27923,plain,
% 6.85/5.49 ((node26(s143) | (~until27(s143)) | xuntil28(s143)) <=> (xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27924,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27923])).
% 6.85/5.49 tff(27925,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27924, 27922])).
% 6.85/5.49 tff(27926,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27927,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 6.85/5.49 tff(27928,plain,
% 6.85/5.49 (xuntil28(s143)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27927, 15561, 27921, 24952])).
% 6.85/5.49 tff(27929,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27930,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27931,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27930, 27929])).
% 6.85/5.49 tff(27932,plain,
% 6.85/5.49 ((~xuntil28(s143)) | until27(s144)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27931, 11738, 15580])).
% 6.85/5.49 tff(27933,plain,
% 6.85/5.49 (until27(s144)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27932, 27928])).
% 6.85/5.49 tff(27934,plain,
% 6.85/5.49 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27935,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27936,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 6.85/5.49 tff(27937,plain,
% 6.85/5.49 (~node26(s144)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27936, 15543, 24943])).
% 6.85/5.49 tff(27938,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27939,plain,
% 6.85/5.49 ((node26(s144) | (~until27(s144)) | xuntil28(s144)) <=> (xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27940,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27939])).
% 6.85/5.49 tff(27941,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27940, 27938])).
% 6.85/5.49 tff(27942,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27943,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 6.85/5.49 tff(27944,plain,
% 6.85/5.49 (xuntil28(s144) | (~until27(s144))),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27943, 15561, 27937])).
% 6.85/5.49 tff(27945,plain,
% 6.85/5.49 (xuntil28(s144)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27944, 27933])).
% 6.85/5.49 tff(27946,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27947,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27948,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 6.85/5.49 tff(27949,plain,
% 6.85/5.49 ((~xuntil28(s144)) | until27(s145)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27948, 11799, 15580])).
% 6.85/5.49 tff(27950,plain,
% 6.85/5.49 (until27(s145)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27949, 27945])).
% 6.85/5.49 tff(27951,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27952,plain,
% 6.85/5.49 ((node26(s145) | (~until27(s145)) | xuntil28(s145)) <=> (xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27953,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27952])).
% 6.85/5.49 tff(27954,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27953, 27951])).
% 6.85/5.49 tff(27955,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27956,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 6.85/5.49 tff(27957,plain,
% 6.85/5.49 (xuntil28(s145)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27956, 15561, 27950, 24936])).
% 6.85/5.49 tff(27958,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27959,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27960,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 6.85/5.49 tff(27961,plain,
% 6.85/5.49 ((~xuntil28(s145)) | until27(s146)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27960, 11894, 15580])).
% 6.85/5.49 tff(27962,plain,
% 6.85/5.49 (until27(s146)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27961, 27957])).
% 6.85/5.49 tff(27963,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27964,plain,
% 6.85/5.49 ((node26(s146) | (~until27(s146)) | xuntil28(s146)) <=> (xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27965,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27964])).
% 6.85/5.49 tff(27966,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27965, 27963])).
% 6.85/5.49 tff(27967,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27968,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27967, 27966])).
% 6.85/5.49 tff(27969,plain,
% 6.85/5.49 (xuntil28(s146) | node26(s146)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27968, 15561, 27962])).
% 6.85/5.49 tff(27970,plain,
% 6.85/5.49 (xuntil28(s146)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27969, 24932])).
% 6.85/5.49 tff(27971,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27972,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27973,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 6.85/5.49 tff(27974,plain,
% 6.85/5.49 ((~xuntil28(s146)) | until27(s147)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27973, 11958, 15580])).
% 6.85/5.49 tff(27975,plain,
% 6.85/5.49 (until27(s147)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27974, 27970])).
% 6.85/5.49 tff(27976,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27977,plain,
% 6.85/5.49 ((node26(s147) | (~until27(s147)) | xuntil28(s147)) <=> (xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27978,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27977])).
% 6.85/5.49 tff(27979,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27978, 27976])).
% 6.85/5.49 tff(27980,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27981,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 6.85/5.49 tff(27982,plain,
% 6.85/5.49 (xuntil28(s147)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27981, 15561, 27975, 24923])).
% 6.85/5.49 tff(27983,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27984,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27985,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 6.85/5.49 tff(27986,plain,
% 6.85/5.49 ((~xuntil28(s147)) | until27(s148)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27985, 12033, 15580])).
% 6.85/5.49 tff(27987,plain,
% 6.85/5.49 (until27(s148)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27986, 27982])).
% 6.85/5.49 tff(27988,plain,
% 6.85/5.49 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27989,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27990,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27989, 27988])).
% 6.85/5.49 tff(27991,plain,
% 6.85/5.49 (~node26(s148)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27990, 15543, 24914])).
% 6.85/5.49 tff(27992,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27993,plain,
% 6.85/5.49 ((node26(s148) | (~until27(s148)) | xuntil28(s148)) <=> (xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(27994,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[27993])).
% 6.85/5.49 tff(27995,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[27994, 27992])).
% 6.85/5.49 tff(27996,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(27997,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 6.85/5.49 tff(27998,plain,
% 6.85/5.49 (xuntil28(s148) | (~until27(s148))),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27997, 15561, 27991])).
% 6.85/5.49 tff(27999,plain,
% 6.85/5.49 (xuntil28(s148)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[27998, 27987])).
% 6.85/5.49 tff(28000,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28001,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28002,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 6.85/5.49 tff(28003,plain,
% 6.85/5.49 ((~xuntil28(s148)) | until27(s149)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28002, 12122, 15580])).
% 6.85/5.49 tff(28004,plain,
% 6.85/5.49 (until27(s149)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28003, 27999])).
% 6.85/5.49 tff(28005,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28006,plain,
% 6.85/5.49 ((node26(s149) | (~until27(s149)) | xuntil28(s149)) <=> (xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28007,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[28006])).
% 6.85/5.49 tff(28008,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[28007, 28005])).
% 6.85/5.49 tff(28009,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28010,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 6.85/5.49 tff(28011,plain,
% 6.85/5.49 (xuntil28(s149)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28010, 15561, 28004, 24907])).
% 6.85/5.49 tff(28012,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28013,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28014,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28013, 28012])).
% 6.85/5.49 tff(28015,plain,
% 6.85/5.49 ((~xuntil28(s149)) | until27(s150)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28014, 12189, 15580])).
% 6.85/5.49 tff(28016,plain,
% 6.85/5.49 (until27(s150)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28015, 28011])).
% 6.85/5.49 tff(28017,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28018,plain,
% 6.85/5.49 ((node26(s150) | (~until27(s150)) | xuntil28(s150)) <=> (xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28019,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[28018])).
% 6.85/5.49 tff(28020,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[28019, 28017])).
% 6.85/5.49 tff(28021,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28022,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28021, 28020])).
% 6.85/5.49 tff(28023,plain,
% 6.85/5.49 (xuntil28(s150) | node26(s150)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28022, 15561, 28016])).
% 6.85/5.49 tff(28024,plain,
% 6.85/5.49 (xuntil28(s150)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28023, 24903])).
% 6.85/5.49 tff(28025,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28026,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28027,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 6.85/5.49 tff(28028,plain,
% 6.85/5.49 ((~xuntil28(s150)) | until27(s151)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28027, 12288, 15580])).
% 6.85/5.49 tff(28029,plain,
% 6.85/5.49 (until27(s151)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28028, 28024])).
% 6.85/5.49 tff(28030,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28031,plain,
% 6.85/5.49 ((node26(s151) | (~until27(s151)) | xuntil28(s151)) <=> (xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28032,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[28031])).
% 6.85/5.49 tff(28033,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[28032, 28030])).
% 6.85/5.49 tff(28034,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28035,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28034, 28033])).
% 6.85/5.49 tff(28036,plain,
% 6.85/5.49 (xuntil28(s151)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28035, 15561, 28029, 24894])).
% 6.85/5.49 tff(28037,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28038,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28039,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28038, 28037])).
% 6.85/5.49 tff(28040,plain,
% 6.85/5.49 ((~xuntil28(s151)) | until27(s152)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28039, 12366, 15580])).
% 6.85/5.49 tff(28041,plain,
% 6.85/5.49 (until27(s152)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28040, 28036])).
% 6.85/5.49 tff(28042,plain,
% 6.85/5.49 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28043,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28044,plain,
% 6.85/5.49 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 6.85/5.49 tff(28045,plain,
% 6.85/5.49 (~node26(s152)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28044, 15543, 24885])).
% 6.85/5.49 tff(28046,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28047,plain,
% 6.85/5.49 ((node26(s152) | (~until27(s152)) | xuntil28(s152)) <=> (xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28048,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[28047])).
% 6.85/5.49 tff(28049,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(transitivity,[status(thm)],[28048, 28046])).
% 6.85/5.49 tff(28050,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28051,plain,
% 6.85/5.49 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152))),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28050, 28049])).
% 6.85/5.49 tff(28052,plain,
% 6.85/5.49 (xuntil28(s152) | (~until27(s152))),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28051, 15561, 28045])).
% 6.85/5.49 tff(28053,plain,
% 6.85/5.49 (xuntil28(s152)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28052, 28041])).
% 6.85/5.49 tff(28054,plain,
% 6.85/5.49 (((~![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))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28055,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))),
% 6.85/5.49 inference(quant_inst,[status(thm)],[])).
% 6.85/5.49 tff(28056,plain,
% 6.85/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153)),
% 6.85/5.49 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 6.85/5.49 tff(28057,plain,
% 6.85/5.49 ((~xuntil28(s152)) | until27(s153)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28056, 12427, 15580])).
% 6.85/5.49 tff(28058,plain,
% 6.85/5.49 (until27(s153)),
% 6.85/5.49 inference(unit_resolution,[status(thm)],[28057, 28053])).
% 6.85/5.49 tff(28059,plain,
% 6.85/5.49 (((~![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)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28060,plain,
% 6.85/5.49 ((node26(s153) | (~until27(s153)) | xuntil28(s153)) <=> (xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 6.85/5.49 inference(rewrite,[status(thm)],[])).
% 6.85/5.49 tff(28061,plain,
% 6.85/5.49 (((~![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))))),
% 6.85/5.49 inference(monotonicity,[status(thm)],[28060])).
% 6.86/5.50 tff(28062,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28061, 28059])).
% 6.86/5.50 tff(28063,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28064,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 6.86/5.50 tff(28065,plain,
% 6.86/5.50 (xuntil28(s153)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28064, 15561, 28058, 24878])).
% 6.86/5.50 tff(28066,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28067,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28068,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 6.86/5.50 tff(28069,plain,
% 6.86/5.50 ((~xuntil28(s153)) | until27(s154)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28068, 12522, 15580])).
% 6.86/5.50 tff(28070,plain,
% 6.86/5.50 (until27(s154)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28069, 28065])).
% 6.86/5.50 tff(28071,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28072,plain,
% 6.86/5.50 ((node26(s154) | (~until27(s154)) | xuntil28(s154)) <=> (xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28073,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28072])).
% 6.86/5.50 tff(28074,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28073, 28071])).
% 6.86/5.50 tff(28075,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28076,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28075, 28074])).
% 6.86/5.50 tff(28077,plain,
% 6.86/5.50 (xuntil28(s154) | node26(s154)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28076, 15561, 28070])).
% 6.86/5.50 tff(28078,plain,
% 6.86/5.50 (xuntil28(s154)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28077, 24874])).
% 6.86/5.50 tff(28079,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28080,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28081,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 6.86/5.50 tff(28082,plain,
% 6.86/5.50 ((~xuntil28(s154)) | until27(s155)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28081, 12586, 15580])).
% 6.86/5.50 tff(28083,plain,
% 6.86/5.50 (until27(s155)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28082, 28078])).
% 6.86/5.50 tff(28084,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28085,plain,
% 6.86/5.50 ((node26(s155) | (~until27(s155)) | xuntil28(s155)) <=> (xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28086,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28085])).
% 6.86/5.50 tff(28087,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28086, 28084])).
% 6.86/5.50 tff(28088,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28089,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28088, 28087])).
% 6.86/5.50 tff(28090,plain,
% 6.86/5.50 (xuntil28(s155)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28089, 15561, 28083, 24865])).
% 6.86/5.50 tff(28091,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28092,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28093,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28092, 28091])).
% 6.86/5.50 tff(28094,plain,
% 6.86/5.50 ((~xuntil28(s155)) | until27(s156)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28093, 12661, 15580])).
% 6.86/5.50 tff(28095,plain,
% 6.86/5.50 (until27(s156)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28094, 28090])).
% 6.86/5.50 tff(28096,plain,
% 6.86/5.50 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28097,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28098,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28097, 28096])).
% 6.86/5.50 tff(28099,plain,
% 6.86/5.50 (~node26(s156)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28098, 15543, 24856])).
% 6.86/5.50 tff(28100,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28101,plain,
% 6.86/5.50 ((node26(s156) | (~until27(s156)) | xuntil28(s156)) <=> (xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28102,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28101])).
% 6.86/5.50 tff(28103,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28102, 28100])).
% 6.86/5.50 tff(28104,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28105,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 6.86/5.50 tff(28106,plain,
% 6.86/5.50 (xuntil28(s156) | (~until27(s156))),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28105, 15561, 28099])).
% 6.86/5.50 tff(28107,plain,
% 6.86/5.50 (xuntil28(s156)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28106, 28095])).
% 6.86/5.50 tff(28108,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28109,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28110,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28109, 28108])).
% 6.86/5.50 tff(28111,plain,
% 6.86/5.50 ((~xuntil28(s156)) | until27(s157)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28110, 12750, 15580])).
% 6.86/5.50 tff(28112,plain,
% 6.86/5.50 (until27(s157)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28111, 28107])).
% 6.86/5.50 tff(28113,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28114,plain,
% 6.86/5.50 ((node26(s157) | (~until27(s157)) | xuntil28(s157)) <=> (xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28115,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28114])).
% 6.86/5.50 tff(28116,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28115, 28113])).
% 6.86/5.50 tff(28117,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28118,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28117, 28116])).
% 6.86/5.50 tff(28119,plain,
% 6.86/5.50 (xuntil28(s157)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28118, 15561, 28112, 24849])).
% 6.86/5.50 tff(28120,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28121,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28122,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28121, 28120])).
% 6.86/5.50 tff(28123,plain,
% 6.86/5.50 ((~xuntil28(s157)) | until27(s158)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28122, 12817, 15580])).
% 6.86/5.50 tff(28124,plain,
% 6.86/5.50 (until27(s158)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28123, 28119])).
% 6.86/5.50 tff(28125,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28126,plain,
% 6.86/5.50 ((node26(s158) | (~until27(s158)) | xuntil28(s158)) <=> (xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28127,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28126])).
% 6.86/5.50 tff(28128,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28127, 28125])).
% 6.86/5.50 tff(28129,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28130,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28129, 28128])).
% 6.86/5.50 tff(28131,plain,
% 6.86/5.50 (xuntil28(s158) | node26(s158)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28130, 15561, 28124])).
% 6.86/5.50 tff(28132,plain,
% 6.86/5.50 (xuntil28(s158)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28131, 24845])).
% 6.86/5.50 tff(28133,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28134,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28135,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28134, 28133])).
% 6.86/5.50 tff(28136,plain,
% 6.86/5.50 ((~xuntil28(s158)) | until27(s159)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28135, 12916, 15580])).
% 6.86/5.50 tff(28137,plain,
% 6.86/5.50 (until27(s159)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28136, 28132])).
% 6.86/5.50 tff(28138,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28139,plain,
% 6.86/5.50 ((node26(s159) | (~until27(s159)) | xuntil28(s159)) <=> (xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28140,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28139])).
% 6.86/5.50 tff(28141,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28140, 28138])).
% 6.86/5.50 tff(28142,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28143,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 6.86/5.50 tff(28144,plain,
% 6.86/5.50 (xuntil28(s159)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28143, 15561, 28137, 24836])).
% 6.86/5.50 tff(28145,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28146,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28147,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28146, 28145])).
% 6.86/5.50 tff(28148,plain,
% 6.86/5.50 ((~xuntil28(s159)) | until27(s160)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28147, 12994, 15580])).
% 6.86/5.50 tff(28149,plain,
% 6.86/5.50 (until27(s160)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28148, 28144])).
% 6.86/5.50 tff(28150,plain,
% 6.86/5.50 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28151,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28152,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 6.86/5.50 tff(28153,plain,
% 6.86/5.50 (~node26(s160)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28152, 15543, 24827])).
% 6.86/5.50 tff(28154,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28155,plain,
% 6.86/5.50 ((node26(s160) | (~until27(s160)) | xuntil28(s160)) <=> (xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28156,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28155])).
% 6.86/5.50 tff(28157,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28156, 28154])).
% 6.86/5.50 tff(28158,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28159,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28158, 28157])).
% 6.86/5.50 tff(28160,plain,
% 6.86/5.50 (xuntil28(s160) | (~until27(s160))),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28159, 15561, 28153])).
% 6.86/5.50 tff(28161,plain,
% 6.86/5.50 (xuntil28(s160)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28160, 28149])).
% 6.86/5.50 tff(28162,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28163,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28164,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28163, 28162])).
% 6.86/5.50 tff(28165,plain,
% 6.86/5.50 ((~xuntil28(s160)) | until27(s161)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28164, 13055, 15580])).
% 6.86/5.50 tff(28166,plain,
% 6.86/5.50 (until27(s161)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28165, 28161])).
% 6.86/5.50 tff(28167,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28168,plain,
% 6.86/5.50 ((node26(s161) | (~until27(s161)) | xuntil28(s161)) <=> (xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28169,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28168])).
% 6.86/5.50 tff(28170,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28169, 28167])).
% 6.86/5.50 tff(28171,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28172,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28171, 28170])).
% 6.86/5.50 tff(28173,plain,
% 6.86/5.50 (xuntil28(s161)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28172, 15561, 28166, 24820])).
% 6.86/5.50 tff(28174,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28175,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28176,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28175, 28174])).
% 6.86/5.50 tff(28177,plain,
% 6.86/5.50 ((~xuntil28(s161)) | until27(s162)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28176, 13150, 15580])).
% 6.86/5.50 tff(28178,plain,
% 6.86/5.50 (until27(s162)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28177, 28173])).
% 6.86/5.50 tff(28179,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28180,plain,
% 6.86/5.50 ((node26(s162) | (~until27(s162)) | xuntil28(s162)) <=> (xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28181,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28180])).
% 6.86/5.50 tff(28182,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28181, 28179])).
% 6.86/5.50 tff(28183,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28184,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 6.86/5.50 tff(28185,plain,
% 6.86/5.50 (xuntil28(s162) | node26(s162)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28184, 15561, 28178])).
% 6.86/5.50 tff(28186,plain,
% 6.86/5.50 (xuntil28(s162)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28185, 24816])).
% 6.86/5.50 tff(28187,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28188,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28189,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28188, 28187])).
% 6.86/5.50 tff(28190,plain,
% 6.86/5.50 ((~xuntil28(s162)) | until27(s163)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28189, 13214, 15580])).
% 6.86/5.50 tff(28191,plain,
% 6.86/5.50 (until27(s163)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28190, 28186])).
% 6.86/5.50 tff(28192,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28193,plain,
% 6.86/5.50 ((node26(s163) | (~until27(s163)) | xuntil28(s163)) <=> (xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28194,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28193])).
% 6.86/5.50 tff(28195,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28194, 28192])).
% 6.86/5.50 tff(28196,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28197,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28196, 28195])).
% 6.86/5.50 tff(28198,plain,
% 6.86/5.50 (xuntil28(s163)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28197, 15561, 28191, 24807])).
% 6.86/5.50 tff(28199,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28200,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28201,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28200, 28199])).
% 6.86/5.50 tff(28202,plain,
% 6.86/5.50 ((~xuntil28(s163)) | until27(s164)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28201, 13289, 15580])).
% 6.86/5.50 tff(28203,plain,
% 6.86/5.50 (until27(s164)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28202, 28198])).
% 6.86/5.50 tff(28204,plain,
% 6.86/5.50 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28205,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28206,plain,
% 6.86/5.50 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 6.86/5.50 tff(28207,plain,
% 6.86/5.50 (~node26(s164)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28206, 15543, 24798])).
% 6.86/5.50 tff(28208,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28209,plain,
% 6.86/5.50 ((node26(s164) | (~until27(s164)) | xuntil28(s164)) <=> (xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28210,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28209])).
% 6.86/5.50 tff(28211,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(transitivity,[status(thm)],[28210, 28208])).
% 6.86/5.50 tff(28212,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28213,plain,
% 6.86/5.50 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164))),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28212, 28211])).
% 6.86/5.50 tff(28214,plain,
% 6.86/5.50 (xuntil28(s164) | (~until27(s164))),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28213, 15561, 28207])).
% 6.86/5.50 tff(28215,plain,
% 6.86/5.50 (xuntil28(s164)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28214, 28203])).
% 6.86/5.50 tff(28216,plain,
% 6.86/5.50 (((~![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))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28217,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))),
% 6.86/5.50 inference(quant_inst,[status(thm)],[])).
% 6.86/5.50 tff(28218,plain,
% 6.86/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165)),
% 6.86/5.50 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 6.86/5.50 tff(28219,plain,
% 6.86/5.50 ((~xuntil28(s164)) | until27(s165)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28218, 13378, 15580])).
% 6.86/5.50 tff(28220,plain,
% 6.86/5.50 (until27(s165)),
% 6.86/5.50 inference(unit_resolution,[status(thm)],[28219, 28215])).
% 6.86/5.50 tff(28221,plain,
% 6.86/5.50 (((~![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)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28222,plain,
% 6.86/5.50 ((node26(s165) | (~until27(s165)) | xuntil28(s165)) <=> (xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 6.86/5.50 inference(rewrite,[status(thm)],[])).
% 6.86/5.50 tff(28223,plain,
% 6.86/5.50 (((~![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))))),
% 6.86/5.50 inference(monotonicity,[status(thm)],[28222])).
% 6.86/5.50 tff(28224,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28223, 28221])).
% 6.86/5.51 tff(28225,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28226,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 6.86/5.51 tff(28227,plain,
% 6.86/5.51 (xuntil28(s165)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28226, 15561, 28220, 24791])).
% 6.86/5.51 tff(28228,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28229,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28230,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 6.86/5.51 tff(28231,plain,
% 6.86/5.51 ((~xuntil28(s165)) | until27(s166)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28230, 13445, 15580])).
% 6.86/5.51 tff(28232,plain,
% 6.86/5.51 (until27(s166)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28231, 28227])).
% 6.86/5.51 tff(28233,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28234,plain,
% 6.86/5.51 ((node26(s166) | (~until27(s166)) | xuntil28(s166)) <=> (xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28235,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28234])).
% 6.86/5.51 tff(28236,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28235, 28233])).
% 6.86/5.51 tff(28237,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28238,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 6.86/5.51 tff(28239,plain,
% 6.86/5.51 (xuntil28(s166) | node26(s166)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28238, 15561, 28232])).
% 6.86/5.51 tff(28240,plain,
% 6.86/5.51 (xuntil28(s166)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28239, 24787])).
% 6.86/5.51 tff(28241,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28242,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28243,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 6.86/5.51 tff(28244,plain,
% 6.86/5.51 ((~xuntil28(s166)) | until27(s167)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28243, 13544, 15580])).
% 6.86/5.51 tff(28245,plain,
% 6.86/5.51 (until27(s167)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28244, 28240])).
% 6.86/5.51 tff(28246,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28247,plain,
% 6.86/5.51 ((node26(s167) | (~until27(s167)) | xuntil28(s167)) <=> (xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28248,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28247])).
% 6.86/5.51 tff(28249,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28248, 28246])).
% 6.86/5.51 tff(28250,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28251,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28250, 28249])).
% 6.86/5.51 tff(28252,plain,
% 6.86/5.51 (xuntil28(s167)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28251, 15561, 28245, 24778])).
% 6.86/5.51 tff(28253,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28254,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28255,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 6.86/5.51 tff(28256,plain,
% 6.86/5.51 ((~xuntil28(s167)) | until27(s168)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28255, 13622, 15580])).
% 6.86/5.51 tff(28257,plain,
% 6.86/5.51 (until27(s168)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28256, 28252])).
% 6.86/5.51 tff(28258,plain,
% 6.86/5.51 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28259,plain,
% 6.86/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28260,plain,
% 6.86/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28259, 28258])).
% 6.86/5.51 tff(28261,plain,
% 6.86/5.51 (~node26(s168)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28260, 15543, 24769])).
% 6.86/5.51 tff(28262,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28263,plain,
% 6.86/5.51 ((node26(s168) | (~until27(s168)) | xuntil28(s168)) <=> (xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28264,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28263])).
% 6.86/5.51 tff(28265,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28264, 28262])).
% 6.86/5.51 tff(28266,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28267,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 6.86/5.51 tff(28268,plain,
% 6.86/5.51 (xuntil28(s168) | (~until27(s168))),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28267, 15561, 28261])).
% 6.86/5.51 tff(28269,plain,
% 6.86/5.51 (xuntil28(s168)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28268, 28257])).
% 6.86/5.51 tff(28270,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28271,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28272,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28271, 28270])).
% 6.86/5.51 tff(28273,plain,
% 6.86/5.51 ((~xuntil28(s168)) | until27(s169)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28272, 13683, 15580])).
% 6.86/5.51 tff(28274,plain,
% 6.86/5.51 (until27(s169)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28273, 28269])).
% 6.86/5.51 tff(28275,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28276,plain,
% 6.86/5.51 ((node26(s169) | (~until27(s169)) | xuntil28(s169)) <=> (xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28277,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28276])).
% 6.86/5.51 tff(28278,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28277, 28275])).
% 6.86/5.51 tff(28279,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28280,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28279, 28278])).
% 6.86/5.51 tff(28281,plain,
% 6.86/5.51 (xuntil28(s169)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28280, 15561, 28274, 24762])).
% 6.86/5.51 tff(28282,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28283,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28284,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 6.86/5.51 tff(28285,plain,
% 6.86/5.51 ((~xuntil28(s169)) | until27(s170)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28284, 13778, 15580])).
% 6.86/5.51 tff(28286,plain,
% 6.86/5.51 (until27(s170)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28285, 28281])).
% 6.86/5.51 tff(28287,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28288,plain,
% 6.86/5.51 ((node26(s170) | (~until27(s170)) | xuntil28(s170)) <=> (xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28289,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28288])).
% 6.86/5.51 tff(28290,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28289, 28287])).
% 6.86/5.51 tff(28291,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28292,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170))),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 6.86/5.51 tff(28293,plain,
% 6.86/5.51 (xuntil28(s170) | node26(s170)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28292, 15561, 28286])).
% 6.86/5.51 tff(28294,plain,
% 6.86/5.51 (xuntil28(s170)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28293, 24758])).
% 6.86/5.51 tff(28295,plain,
% 6.86/5.51 (((~![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))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28296,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))),
% 6.86/5.51 inference(quant_inst,[status(thm)],[])).
% 6.86/5.51 tff(28297,plain,
% 6.86/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171)),
% 6.86/5.51 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 6.86/5.51 tff(28298,plain,
% 6.86/5.51 ((~xuntil28(s170)) | until27(s171)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28297, 13842, 15580])).
% 6.86/5.51 tff(28299,plain,
% 6.86/5.51 (until27(s171)),
% 6.86/5.51 inference(unit_resolution,[status(thm)],[28298, 28294])).
% 6.86/5.51 tff(28300,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28301,plain,
% 6.86/5.51 ((node26(s171) | (~until27(s171)) | xuntil28(s171)) <=> (xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 6.86/5.51 inference(rewrite,[status(thm)],[])).
% 6.86/5.51 tff(28302,plain,
% 6.86/5.51 (((~![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))))),
% 6.86/5.51 inference(monotonicity,[status(thm)],[28301])).
% 6.86/5.51 tff(28303,plain,
% 6.86/5.51 (((~![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)))),
% 6.86/5.51 inference(transitivity,[status(thm)],[28302, 28300])).
% 6.86/5.51 tff(28304,plain,
% 6.86/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28305,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 6.88/5.51 tff(28306,plain,
% 6.88/5.51 (xuntil28(s171)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28305, 15561, 28299, 24749])).
% 6.88/5.51 tff(28307,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28308,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28309,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 6.88/5.51 tff(28310,plain,
% 6.88/5.51 ((~xuntil28(s171)) | until27(s172)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28309, 13917, 15580])).
% 6.88/5.51 tff(28311,plain,
% 6.88/5.51 (until27(s172)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28310, 28306])).
% 6.88/5.51 tff(28312,plain,
% 6.88/5.51 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28313,plain,
% 6.88/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28314,plain,
% 6.88/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28313, 28312])).
% 6.88/5.51 tff(28315,plain,
% 6.88/5.51 (~node26(s172)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28314, 15543, 24740])).
% 6.88/5.51 tff(28316,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28317,plain,
% 6.88/5.51 ((node26(s172) | (~until27(s172)) | xuntil28(s172)) <=> (xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28318,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28317])).
% 6.88/5.51 tff(28319,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(transitivity,[status(thm)],[28318, 28316])).
% 6.88/5.51 tff(28320,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28321,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28320, 28319])).
% 6.88/5.51 tff(28322,plain,
% 6.88/5.51 (xuntil28(s172) | (~until27(s172))),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28321, 15561, 28315])).
% 6.88/5.51 tff(28323,plain,
% 6.88/5.51 (xuntil28(s172)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28322, 28311])).
% 6.88/5.51 tff(28324,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28325,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28326,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 6.88/5.51 tff(28327,plain,
% 6.88/5.51 ((~xuntil28(s172)) | until27(s173)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28326, 14006, 15580])).
% 6.88/5.51 tff(28328,plain,
% 6.88/5.51 (until27(s173)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28327, 28323])).
% 6.88/5.51 tff(28329,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28330,plain,
% 6.88/5.51 ((node26(s173) | (~until27(s173)) | xuntil28(s173)) <=> (xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28331,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28330])).
% 6.88/5.51 tff(28332,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(transitivity,[status(thm)],[28331, 28329])).
% 6.88/5.51 tff(28333,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28334,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28333, 28332])).
% 6.88/5.51 tff(28335,plain,
% 6.88/5.51 (xuntil28(s173)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28334, 15561, 28328, 24733])).
% 6.88/5.51 tff(28336,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28337,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28338,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28337, 28336])).
% 6.88/5.51 tff(28339,plain,
% 6.88/5.51 ((~xuntil28(s173)) | until27(s174)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28338, 14073, 15580])).
% 6.88/5.51 tff(28340,plain,
% 6.88/5.51 (until27(s174)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28339, 28335])).
% 6.88/5.51 tff(28341,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28342,plain,
% 6.88/5.51 ((node26(s174) | (~until27(s174)) | xuntil28(s174)) <=> (xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28343,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28342])).
% 6.88/5.51 tff(28344,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(transitivity,[status(thm)],[28343, 28341])).
% 6.88/5.51 tff(28345,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28346,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28345, 28344])).
% 6.88/5.51 tff(28347,plain,
% 6.88/5.51 (xuntil28(s174) | node26(s174)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28346, 15561, 28340])).
% 6.88/5.51 tff(28348,plain,
% 6.88/5.51 (xuntil28(s174)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28347, 24729])).
% 6.88/5.51 tff(28349,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28350,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28351,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 6.88/5.51 tff(28352,plain,
% 6.88/5.51 ((~xuntil28(s174)) | until27(s175)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28351, 14172, 15580])).
% 6.88/5.51 tff(28353,plain,
% 6.88/5.51 (until27(s175)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28352, 28348])).
% 6.88/5.51 tff(28354,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28355,plain,
% 6.88/5.51 ((node26(s175) | (~until27(s175)) | xuntil28(s175)) <=> (xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28356,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28355])).
% 6.88/5.51 tff(28357,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(transitivity,[status(thm)],[28356, 28354])).
% 6.88/5.51 tff(28358,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28359,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28358, 28357])).
% 6.88/5.51 tff(28360,plain,
% 6.88/5.51 (xuntil28(s175)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28359, 15561, 28353, 24720])).
% 6.88/5.51 tff(28361,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28362,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28363,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28362, 28361])).
% 6.88/5.51 tff(28364,plain,
% 6.88/5.51 ((~xuntil28(s175)) | until27(s176)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28363, 14250, 15580])).
% 6.88/5.51 tff(28365,plain,
% 6.88/5.51 (until27(s176)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28364, 28360])).
% 6.88/5.51 tff(28366,plain,
% 6.88/5.51 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28367,plain,
% 6.88/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28368,plain,
% 6.88/5.51 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28367, 28366])).
% 6.88/5.51 tff(28369,plain,
% 6.88/5.51 (~node26(s176)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28368, 15543, 24711])).
% 6.88/5.51 tff(28370,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28371,plain,
% 6.88/5.51 ((node26(s176) | (~until27(s176)) | xuntil28(s176)) <=> (xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28372,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28371])).
% 6.88/5.51 tff(28373,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(transitivity,[status(thm)],[28372, 28370])).
% 6.88/5.51 tff(28374,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28375,plain,
% 6.88/5.51 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176))),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28374, 28373])).
% 6.88/5.51 tff(28376,plain,
% 6.88/5.51 (xuntil28(s176) | (~until27(s176))),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28375, 15561, 28369])).
% 6.88/5.51 tff(28377,plain,
% 6.88/5.51 (xuntil28(s176)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28376, 28365])).
% 6.88/5.51 tff(28378,plain,
% 6.88/5.51 (((~![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))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28379,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))),
% 6.88/5.51 inference(quant_inst,[status(thm)],[])).
% 6.88/5.51 tff(28380,plain,
% 6.88/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177)),
% 6.88/5.51 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 6.88/5.51 tff(28381,plain,
% 6.88/5.51 ((~xuntil28(s176)) | until27(s177)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28380, 14311, 15580])).
% 6.88/5.51 tff(28382,plain,
% 6.88/5.51 (until27(s177)),
% 6.88/5.51 inference(unit_resolution,[status(thm)],[28381, 28377])).
% 6.88/5.51 tff(28383,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28384,plain,
% 6.88/5.51 ((node26(s177) | (~until27(s177)) | xuntil28(s177)) <=> (xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 6.88/5.51 inference(rewrite,[status(thm)],[])).
% 6.88/5.51 tff(28385,plain,
% 6.88/5.51 (((~![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))))),
% 6.88/5.51 inference(monotonicity,[status(thm)],[28384])).
% 6.88/5.51 tff(28386,plain,
% 6.88/5.51 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28385, 28383])).
% 6.88/5.52 tff(28387,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28388,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28387, 28386])).
% 6.88/5.52 tff(28389,plain,
% 6.88/5.52 (xuntil28(s177)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28388, 15561, 28382, 24704])).
% 6.88/5.52 tff(28390,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28391,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28392,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28391, 28390])).
% 6.88/5.52 tff(28393,plain,
% 6.88/5.52 ((~xuntil28(s177)) | until27(s178)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28392, 14406, 15580])).
% 6.88/5.52 tff(28394,plain,
% 6.88/5.52 (until27(s178)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28393, 28389])).
% 6.88/5.52 tff(28395,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28396,plain,
% 6.88/5.52 ((node26(s178) | (~until27(s178)) | xuntil28(s178)) <=> (xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28397,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28396])).
% 6.88/5.52 tff(28398,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28397, 28395])).
% 6.88/5.52 tff(28399,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28400,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 6.88/5.52 tff(28401,plain,
% 6.88/5.52 (xuntil28(s178) | node26(s178)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28400, 15561, 28394])).
% 6.88/5.52 tff(28402,plain,
% 6.88/5.52 (xuntil28(s178)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28401, 24700])).
% 6.88/5.52 tff(28403,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28404,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28405,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 6.88/5.52 tff(28406,plain,
% 6.88/5.52 ((~xuntil28(s178)) | until27(s179)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28405, 14470, 15580])).
% 6.88/5.52 tff(28407,plain,
% 6.88/5.52 (until27(s179)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28406, 28402])).
% 6.88/5.52 tff(28408,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28409,plain,
% 6.88/5.52 ((node26(s179) | (~until27(s179)) | xuntil28(s179)) <=> (xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28410,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28409])).
% 6.88/5.52 tff(28411,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28410, 28408])).
% 6.88/5.52 tff(28412,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28413,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 6.88/5.52 tff(28414,plain,
% 6.88/5.52 (xuntil28(s179)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28413, 15561, 28407, 24691])).
% 6.88/5.52 tff(28415,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28416,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28417,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 6.88/5.52 tff(28418,plain,
% 6.88/5.52 ((~xuntil28(s179)) | until27(s180)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28417, 14545, 15580])).
% 6.88/5.52 tff(28419,plain,
% 6.88/5.52 (until27(s180)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28418, 28414])).
% 6.88/5.52 tff(28420,plain,
% 6.88/5.52 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28421,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28422,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 6.88/5.52 tff(28423,plain,
% 6.88/5.52 (~node26(s180)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28422, 15543, 24682])).
% 6.88/5.52 tff(28424,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28425,plain,
% 6.88/5.52 ((node26(s180) | (~until27(s180)) | xuntil28(s180)) <=> (xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28426,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28425])).
% 6.88/5.52 tff(28427,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28426, 28424])).
% 6.88/5.52 tff(28428,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28429,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28428, 28427])).
% 6.88/5.52 tff(28430,plain,
% 6.88/5.52 (xuntil28(s180) | (~until27(s180))),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28429, 15561, 28423])).
% 6.88/5.52 tff(28431,plain,
% 6.88/5.52 (xuntil28(s180)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28430, 28419])).
% 6.88/5.52 tff(28432,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28433,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28434,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28433, 28432])).
% 6.88/5.52 tff(28435,plain,
% 6.88/5.52 ((~xuntil28(s180)) | until27(s181)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28434, 14634, 15580])).
% 6.88/5.52 tff(28436,plain,
% 6.88/5.52 (until27(s181)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28435, 28431])).
% 6.88/5.52 tff(28437,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28438,plain,
% 6.88/5.52 ((node26(s181) | (~until27(s181)) | xuntil28(s181)) <=> (xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28439,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28438])).
% 6.88/5.52 tff(28440,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28439, 28437])).
% 6.88/5.52 tff(28441,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28442,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28441, 28440])).
% 6.88/5.52 tff(28443,plain,
% 6.88/5.52 (xuntil28(s181)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28442, 15561, 28436, 24675])).
% 6.88/5.52 tff(28444,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28445,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28446,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28445, 28444])).
% 6.88/5.52 tff(28447,plain,
% 6.88/5.52 ((~xuntil28(s181)) | until27(s182)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28446, 14701, 15580])).
% 6.88/5.52 tff(28448,plain,
% 6.88/5.52 (until27(s182)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28447, 28443])).
% 6.88/5.52 tff(28449,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28450,plain,
% 6.88/5.52 ((node26(s182) | (~until27(s182)) | xuntil28(s182)) <=> (xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28451,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28450])).
% 6.88/5.52 tff(28452,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28451, 28449])).
% 6.88/5.52 tff(28453,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28454,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28453, 28452])).
% 6.88/5.52 tff(28455,plain,
% 6.88/5.52 (xuntil28(s182) | node26(s182)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28454, 15561, 28448])).
% 6.88/5.52 tff(28456,plain,
% 6.88/5.52 (xuntil28(s182)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28455, 24671])).
% 6.88/5.52 tff(28457,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28458,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28459,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 6.88/5.52 tff(28460,plain,
% 6.88/5.52 ((~xuntil28(s182)) | until27(s183)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28459, 14800, 15580])).
% 6.88/5.52 tff(28461,plain,
% 6.88/5.52 (until27(s183)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28460, 28456])).
% 6.88/5.52 tff(28462,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28463,plain,
% 6.88/5.52 ((node26(s183) | (~until27(s183)) | xuntil28(s183)) <=> (xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28464,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28463])).
% 6.88/5.52 tff(28465,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28464, 28462])).
% 6.88/5.52 tff(28466,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28467,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 6.88/5.52 tff(28468,plain,
% 6.88/5.52 (xuntil28(s183)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28467, 15561, 28461, 24662])).
% 6.88/5.52 tff(28469,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28470,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28471,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28470, 28469])).
% 6.88/5.52 tff(28472,plain,
% 6.88/5.52 ((~xuntil28(s183)) | until27(s184)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28471, 14878, 15580])).
% 6.88/5.52 tff(28473,plain,
% 6.88/5.52 (until27(s184)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28472, 28468])).
% 6.88/5.52 tff(28474,plain,
% 6.88/5.52 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28475,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28476,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 6.88/5.52 tff(28477,plain,
% 6.88/5.52 (~node26(s184)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28476, 15543, 24653])).
% 6.88/5.52 tff(28478,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28479,plain,
% 6.88/5.52 ((node26(s184) | (~until27(s184)) | xuntil28(s184)) <=> (xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28480,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28479])).
% 6.88/5.52 tff(28481,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28480, 28478])).
% 6.88/5.52 tff(28482,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28483,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28482, 28481])).
% 6.88/5.52 tff(28484,plain,
% 6.88/5.52 (xuntil28(s184) | (~until27(s184))),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28483, 15561, 28477])).
% 6.88/5.52 tff(28485,plain,
% 6.88/5.52 (xuntil28(s184)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28484, 28473])).
% 6.88/5.52 tff(28486,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28487,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28488,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 6.88/5.52 tff(28489,plain,
% 6.88/5.52 ((~xuntil28(s184)) | until27(s185)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28488, 14939, 15580])).
% 6.88/5.52 tff(28490,plain,
% 6.88/5.52 (until27(s185)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28489, 28485])).
% 6.88/5.52 tff(28491,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28492,plain,
% 6.88/5.52 ((node26(s185) | (~until27(s185)) | xuntil28(s185)) <=> (xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28493,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28492])).
% 6.88/5.52 tff(28494,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28493, 28491])).
% 6.88/5.52 tff(28495,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28496,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28495, 28494])).
% 6.88/5.52 tff(28497,plain,
% 6.88/5.52 (xuntil28(s185)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28496, 15561, 28490, 24646])).
% 6.88/5.52 tff(28498,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28499,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28500,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28499, 28498])).
% 6.88/5.52 tff(28501,plain,
% 6.88/5.52 ((~xuntil28(s185)) | until27(s186)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28500, 15034, 15580])).
% 6.88/5.52 tff(28502,plain,
% 6.88/5.52 (until27(s186)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28501, 28497])).
% 6.88/5.52 tff(28503,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28504,plain,
% 6.88/5.52 ((node26(s186) | (~until27(s186)) | xuntil28(s186)) <=> (xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28505,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28504])).
% 6.88/5.52 tff(28506,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28505, 28503])).
% 6.88/5.52 tff(28507,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28508,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 6.88/5.52 tff(28509,plain,
% 6.88/5.52 (xuntil28(s186) | node26(s186)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28508, 15561, 28502])).
% 6.88/5.52 tff(28510,plain,
% 6.88/5.52 (xuntil28(s186)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28509, 24642])).
% 6.88/5.52 tff(28511,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28512,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28513,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 6.88/5.52 tff(28514,plain,
% 6.88/5.52 ((~xuntil28(s186)) | until27(s187)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28513, 15098, 15580])).
% 6.88/5.52 tff(28515,plain,
% 6.88/5.52 (until27(s187)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28514, 28510])).
% 6.88/5.52 tff(28516,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28517,plain,
% 6.88/5.52 ((node26(s187) | (~until27(s187)) | xuntil28(s187)) <=> (xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28518,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28517])).
% 6.88/5.52 tff(28519,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28518, 28516])).
% 6.88/5.52 tff(28520,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28521,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28520, 28519])).
% 6.88/5.52 tff(28522,plain,
% 6.88/5.52 (xuntil28(s187)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28521, 15561, 28515, 24633])).
% 6.88/5.52 tff(28523,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28524,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28525,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 6.88/5.52 tff(28526,plain,
% 6.88/5.52 ((~xuntil28(s187)) | until27(s188)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28525, 15173, 15580])).
% 6.88/5.52 tff(28527,plain,
% 6.88/5.52 (until27(s188)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28526, 28522])).
% 6.88/5.52 tff(28528,plain,
% 6.88/5.52 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28529,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28530,plain,
% 6.88/5.52 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 6.88/5.52 tff(28531,plain,
% 6.88/5.52 (~node26(s188)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28530, 15543, 24624])).
% 6.88/5.52 tff(28532,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28533,plain,
% 6.88/5.52 ((node26(s188) | (~until27(s188)) | xuntil28(s188)) <=> (xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28534,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28533])).
% 6.88/5.52 tff(28535,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(transitivity,[status(thm)],[28534, 28532])).
% 6.88/5.52 tff(28536,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28537,plain,
% 6.88/5.52 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188))),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 6.88/5.52 tff(28538,plain,
% 6.88/5.52 (xuntil28(s188) | (~until27(s188))),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28537, 15561, 28531])).
% 6.88/5.52 tff(28539,plain,
% 6.88/5.52 (xuntil28(s188)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28538, 28527])).
% 6.88/5.52 tff(28540,plain,
% 6.88/5.52 (((~![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))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28541,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))),
% 6.88/5.52 inference(quant_inst,[status(thm)],[])).
% 6.88/5.52 tff(28542,plain,
% 6.88/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189)),
% 6.88/5.52 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 6.88/5.52 tff(28543,plain,
% 6.88/5.52 ((~xuntil28(s188)) | until27(s189)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28542, 15262, 15580])).
% 6.88/5.52 tff(28544,plain,
% 6.88/5.52 (until27(s189)),
% 6.88/5.52 inference(unit_resolution,[status(thm)],[28543, 28539])).
% 6.88/5.52 tff(28545,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28546,plain,
% 6.88/5.52 ((node26(s189) | (~until27(s189)) | xuntil28(s189)) <=> (xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 6.88/5.52 inference(rewrite,[status(thm)],[])).
% 6.88/5.52 tff(28547,plain,
% 6.88/5.52 (((~![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))))),
% 6.88/5.52 inference(monotonicity,[status(thm)],[28546])).
% 6.88/5.52 tff(28548,plain,
% 6.88/5.52 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28547, 28545])).
% 6.88/5.53 tff(28549,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28550,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28549, 28548])).
% 6.88/5.53 tff(28551,plain,
% 6.88/5.53 (xuntil28(s189)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28550, 15561, 28544, 24617])).
% 6.88/5.53 tff(28552,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28553,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28554,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28553, 28552])).
% 6.88/5.53 tff(28555,plain,
% 6.88/5.53 ((~xuntil28(s189)) | until27(s190)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28554, 15329, 15580])).
% 6.88/5.53 tff(28556,plain,
% 6.88/5.53 (until27(s190)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28555, 28551])).
% 6.88/5.53 tff(28557,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28558,plain,
% 6.88/5.53 ((node26(s190) | (~until27(s190)) | xuntil28(s190)) <=> (xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28559,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28558])).
% 6.88/5.53 tff(28560,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28559, 28557])).
% 6.88/5.53 tff(28561,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28562,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28561, 28560])).
% 6.88/5.53 tff(28563,plain,
% 6.88/5.53 (xuntil28(s190) | node26(s190)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28562, 15561, 28556])).
% 6.88/5.53 tff(28564,plain,
% 6.88/5.53 (xuntil28(s190)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28563, 24613])).
% 6.88/5.53 tff(28565,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28566,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28567,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28566, 28565])).
% 6.88/5.53 tff(28568,plain,
% 6.88/5.53 ((~xuntil28(s190)) | until27(s191)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28567, 15428, 15580])).
% 6.88/5.53 tff(28569,plain,
% 6.88/5.53 (until27(s191)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28568, 28564])).
% 6.88/5.53 tff(28570,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28571,plain,
% 6.88/5.53 ((node26(s191) | (~until27(s191)) | xuntil28(s191)) <=> (xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28572,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28571])).
% 6.88/5.53 tff(28573,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28572, 28570])).
% 6.88/5.53 tff(28574,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28575,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28574, 28573])).
% 6.88/5.53 tff(28576,plain,
% 6.88/5.53 (xuntil28(s191)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28575, 15561, 28569, 24604])).
% 6.88/5.53 tff(28577,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28578,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28579,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28578, 28577])).
% 6.88/5.53 tff(28580,plain,
% 6.88/5.53 ((~xuntil28(s191)) | until27(s192)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28579, 15506, 15580])).
% 6.88/5.53 tff(28581,plain,
% 6.88/5.53 (until27(s192)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28580, 28576])).
% 6.88/5.53 tff(28582,plain,
% 6.88/5.53 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28583,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28584,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 6.88/5.53 tff(28585,plain,
% 6.88/5.53 (~node26(s192)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28584, 15543, 15533])).
% 6.88/5.53 tff(28586,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28587,plain,
% 6.88/5.53 ((node26(s192) | (~until27(s192)) | xuntil28(s192)) <=> (xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28588,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28587])).
% 6.88/5.53 tff(28589,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28588, 28586])).
% 6.88/5.53 tff(28590,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28591,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28590, 28589])).
% 6.88/5.53 tff(28592,plain,
% 6.88/5.53 (xuntil28(s192) | (~until27(s192))),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28591, 15561, 28585])).
% 6.88/5.53 tff(28593,plain,
% 6.88/5.53 (xuntil28(s192)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28592, 28581])).
% 6.88/5.53 tff(28594,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28595,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28596,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28595, 28594])).
% 6.88/5.53 tff(28597,plain,
% 6.88/5.53 ((~xuntil28(s192)) | until27(s193)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28596, 15636, 15580])).
% 6.88/5.53 tff(28598,plain,
% 6.88/5.53 (until27(s193)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28597, 28593])).
% 6.88/5.53 tff(28599,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28600,plain,
% 6.88/5.53 ((node26(s193) | (~until27(s193)) | xuntil28(s193)) <=> (xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28601,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28600])).
% 6.88/5.53 tff(28602,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28601, 28599])).
% 6.88/5.53 tff(28603,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28604,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28603, 28602])).
% 6.88/5.53 tff(28605,plain,
% 6.88/5.53 (xuntil28(s193)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28604, 15561, 28598, 24595])).
% 6.88/5.53 tff(28606,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28607,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28608,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28607, 28606])).
% 6.88/5.53 tff(28609,plain,
% 6.88/5.53 ((~xuntil28(s193)) | until27(s194)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28608, 15731, 15580])).
% 6.88/5.53 tff(28610,plain,
% 6.88/5.53 (until27(s194)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28609, 28605])).
% 6.88/5.53 tff(28611,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28612,plain,
% 6.88/5.53 ((node26(s194) | (~until27(s194)) | xuntil28(s194)) <=> (xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28613,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28612])).
% 6.88/5.53 tff(28614,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28613, 28611])).
% 6.88/5.53 tff(28615,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28616,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28615, 28614])).
% 6.88/5.53 tff(28617,plain,
% 6.88/5.53 (xuntil28(s194) | node26(s194)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28616, 15561, 28610])).
% 6.88/5.53 tff(28618,plain,
% 6.88/5.53 (xuntil28(s194)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28617, 24591])).
% 6.88/5.53 tff(28619,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28620,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28621,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28620, 28619])).
% 6.88/5.53 tff(28622,plain,
% 6.88/5.53 ((~xuntil28(s194)) | until27(s195)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28621, 15795, 15580])).
% 6.88/5.53 tff(28623,plain,
% 6.88/5.53 (until27(s195)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28622, 28618])).
% 6.88/5.53 tff(28624,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28625,plain,
% 6.88/5.53 ((node26(s195) | (~until27(s195)) | xuntil28(s195)) <=> (xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28626,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28625])).
% 6.88/5.53 tff(28627,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28626, 28624])).
% 6.88/5.53 tff(28628,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28629,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 6.88/5.53 tff(28630,plain,
% 6.88/5.53 (xuntil28(s195)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28629, 15561, 28623, 24582])).
% 6.88/5.53 tff(28631,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28632,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28633,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 6.88/5.53 tff(28634,plain,
% 6.88/5.53 ((~xuntil28(s195)) | until27(s196)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28633, 15870, 15580])).
% 6.88/5.53 tff(28635,plain,
% 6.88/5.53 (until27(s196)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28634, 28630])).
% 6.88/5.53 tff(28636,plain,
% 6.88/5.53 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28637,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28638,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 6.88/5.53 tff(28639,plain,
% 6.88/5.53 (~node26(s196)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28638, 15543, 24573])).
% 6.88/5.53 tff(28640,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28641,plain,
% 6.88/5.53 ((node26(s196) | (~until27(s196)) | xuntil28(s196)) <=> (xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28642,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28641])).
% 6.88/5.53 tff(28643,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28642, 28640])).
% 6.88/5.53 tff(28644,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28645,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 6.88/5.53 tff(28646,plain,
% 6.88/5.53 (xuntil28(s196) | (~until27(s196))),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28645, 15561, 28639])).
% 6.88/5.53 tff(28647,plain,
% 6.88/5.53 (xuntil28(s196)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28646, 28635])).
% 6.88/5.53 tff(28648,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28649,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28650,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 6.88/5.53 tff(28651,plain,
% 6.88/5.53 ((~xuntil28(s196)) | until27(s197)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28650, 15959, 15580])).
% 6.88/5.53 tff(28652,plain,
% 6.88/5.53 (until27(s197)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28651, 28647])).
% 6.88/5.53 tff(28653,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28654,plain,
% 6.88/5.53 ((node26(s197) | (~until27(s197)) | xuntil28(s197)) <=> (xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28655,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28654])).
% 6.88/5.53 tff(28656,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28655, 28653])).
% 6.88/5.53 tff(28657,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28658,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28657, 28656])).
% 6.88/5.53 tff(28659,plain,
% 6.88/5.53 (xuntil28(s197)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28658, 15561, 28652, 24566])).
% 6.88/5.53 tff(28660,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28661,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28662,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28661, 28660])).
% 6.88/5.53 tff(28663,plain,
% 6.88/5.53 ((~xuntil28(s197)) | until27(s198)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28662, 16026, 15580])).
% 6.88/5.53 tff(28664,plain,
% 6.88/5.53 (until27(s198)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28663, 28659])).
% 6.88/5.53 tff(28665,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28666,plain,
% 6.88/5.53 ((node26(s198) | (~until27(s198)) | xuntil28(s198)) <=> (xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28667,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28666])).
% 6.88/5.53 tff(28668,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28667, 28665])).
% 6.88/5.53 tff(28669,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28670,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 6.88/5.53 tff(28671,plain,
% 6.88/5.53 (xuntil28(s198) | node26(s198)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28670, 15561, 28664])).
% 6.88/5.53 tff(28672,plain,
% 6.88/5.53 (xuntil28(s198)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28671, 24562])).
% 6.88/5.53 tff(28673,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28674,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28675,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28674, 28673])).
% 6.88/5.53 tff(28676,plain,
% 6.88/5.53 ((~xuntil28(s198)) | until27(s199)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28675, 16125, 15580])).
% 6.88/5.53 tff(28677,plain,
% 6.88/5.53 (until27(s199)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28676, 28672])).
% 6.88/5.53 tff(28678,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28679,plain,
% 6.88/5.53 ((node26(s199) | (~until27(s199)) | xuntil28(s199)) <=> (xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28680,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28679])).
% 6.88/5.53 tff(28681,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28680, 28678])).
% 6.88/5.53 tff(28682,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28683,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28682, 28681])).
% 6.88/5.53 tff(28684,plain,
% 6.88/5.53 (xuntil28(s199)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28683, 15561, 28677, 24553])).
% 6.88/5.53 tff(28685,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28686,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28687,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28686, 28685])).
% 6.88/5.53 tff(28688,plain,
% 6.88/5.53 ((~xuntil28(s199)) | until27(s200)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28687, 16203, 15580])).
% 6.88/5.53 tff(28689,plain,
% 6.88/5.53 (until27(s200)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28688, 28684])).
% 6.88/5.53 tff(28690,plain,
% 6.88/5.53 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s200) | (~node26(s200)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s200) | (~node26(s200)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28691,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s200) | (~node26(s200)))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28692,plain,
% 6.88/5.53 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s200) | (~node26(s200))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28691, 28690])).
% 6.88/5.53 tff(28693,plain,
% 6.88/5.53 (~node26(s200)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28692, 15543, 24544])).
% 6.88/5.53 tff(28694,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28695,plain,
% 6.88/5.53 ((node26(s200) | (~until27(s200)) | xuntil28(s200)) <=> (xuntil28(s200) | node26(s200) | (~until27(s200)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28696,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28695])).
% 6.88/5.53 tff(28697,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(transitivity,[status(thm)],[28696, 28694])).
% 6.88/5.53 tff(28698,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s200) | (~until27(s200)) | xuntil28(s200))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28699,plain,
% 6.88/5.53 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s200) | node26(s200) | (~until27(s200))),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 6.88/5.53 tff(28700,plain,
% 6.88/5.53 (xuntil28(s200) | (~until27(s200))),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28699, 15561, 28693])).
% 6.88/5.53 tff(28701,plain,
% 6.88/5.53 (xuntil28(s200)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28700, 28689])).
% 6.88/5.53 tff(28702,plain,
% 6.88/5.53 (((~![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))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28703,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201))),
% 6.88/5.53 inference(quant_inst,[status(thm)],[])).
% 6.88/5.53 tff(28704,plain,
% 6.88/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201)),
% 6.88/5.53 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 6.88/5.53 tff(28705,plain,
% 6.88/5.53 ((~xuntil28(s200)) | until27(s201)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28704, 16264, 15580])).
% 6.88/5.53 tff(28706,plain,
% 6.88/5.53 (until27(s201)),
% 6.88/5.53 inference(unit_resolution,[status(thm)],[28705, 28701])).
% 6.88/5.53 tff(28707,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28708,plain,
% 6.88/5.53 ((node26(s201) | (~until27(s201)) | xuntil28(s201)) <=> (xuntil28(s201) | node26(s201) | (~until27(s201)))),
% 6.88/5.53 inference(rewrite,[status(thm)],[])).
% 6.88/5.53 tff(28709,plain,
% 6.88/5.53 (((~![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))))),
% 6.88/5.53 inference(monotonicity,[status(thm)],[28708])).
% 6.88/5.53 tff(28710,plain,
% 6.88/5.53 (((~![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)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28709, 28707])).
% 6.88/5.54 tff(28711,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s201) | (~until27(s201)) | xuntil28(s201))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28712,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s201) | node26(s201) | (~until27(s201))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28711, 28710])).
% 6.88/5.54 tff(28713,plain,
% 6.88/5.54 (xuntil28(s201)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28712, 15561, 28706, 24537])).
% 6.88/5.54 tff(28714,plain,
% 6.88/5.54 (((~![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))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28715,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28716,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 6.88/5.54 tff(28717,plain,
% 6.88/5.54 ((~xuntil28(s201)) | until27(s202)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28716, 16359, 15580])).
% 6.88/5.54 tff(28718,plain,
% 6.88/5.54 (until27(s202)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28717, 28713])).
% 6.88/5.54 tff(28719,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28720,plain,
% 6.88/5.54 ((node26(s202) | (~until27(s202)) | xuntil28(s202)) <=> (xuntil28(s202) | node26(s202) | (~until27(s202)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28721,plain,
% 6.88/5.54 (((~![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))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28720])).
% 6.88/5.54 tff(28722,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28721, 28719])).
% 6.88/5.54 tff(28723,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s202) | (~until27(s202)) | xuntil28(s202))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28724,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s202) | node26(s202) | (~until27(s202))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 6.88/5.54 tff(28725,plain,
% 6.88/5.54 (xuntil28(s202) | node26(s202)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28724, 15561, 28718])).
% 6.88/5.54 tff(28726,plain,
% 6.88/5.54 (xuntil28(s202)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28725, 24533])).
% 6.88/5.54 tff(28727,plain,
% 6.88/5.54 (((~![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))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28728,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28729,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 6.88/5.54 tff(28730,plain,
% 6.88/5.54 ((~xuntil28(s202)) | until27(s203)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28729, 16423, 15580])).
% 6.88/5.54 tff(28731,plain,
% 6.88/5.54 (until27(s203)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28730, 28726])).
% 6.88/5.54 tff(28732,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28733,plain,
% 6.88/5.54 ((node26(s203) | (~until27(s203)) | xuntil28(s203)) <=> (xuntil28(s203) | node26(s203) | (~until27(s203)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28734,plain,
% 6.88/5.54 (((~![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))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28733])).
% 6.88/5.54 tff(28735,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28734, 28732])).
% 6.88/5.54 tff(28736,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s203) | (~until27(s203)) | xuntil28(s203))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28737,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s203) | node26(s203) | (~until27(s203))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 6.88/5.54 tff(28738,plain,
% 6.88/5.54 (xuntil28(s203)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28737, 15561, 28731, 24524])).
% 6.88/5.54 tff(28739,plain,
% 6.88/5.54 (((~![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))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28740,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28741,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28740, 28739])).
% 6.88/5.54 tff(28742,plain,
% 6.88/5.54 ((~xuntil28(s203)) | until27(s204)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28741, 16498, 15580])).
% 6.88/5.54 tff(28743,plain,
% 6.88/5.54 (until27(s204)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28742, 28738])).
% 6.88/5.54 tff(28744,plain,
% 6.88/5.54 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s204) | (~node26(s204)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s204) | (~node26(s204)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28745,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s204) | (~node26(s204)))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28746,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s204) | (~node26(s204))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 6.88/5.54 tff(28747,plain,
% 6.88/5.54 (~node26(s204)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28746, 15543, 24515])).
% 6.88/5.54 tff(28748,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28749,plain,
% 6.88/5.54 ((node26(s204) | (~until27(s204)) | xuntil28(s204)) <=> (xuntil28(s204) | node26(s204) | (~until27(s204)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28750,plain,
% 6.88/5.54 (((~![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))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28749])).
% 6.88/5.54 tff(28751,plain,
% 6.88/5.54 (((~![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)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28750, 28748])).
% 6.88/5.54 tff(28752,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s204) | (~until27(s204)) | xuntil28(s204))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28753,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s204) | node26(s204) | (~until27(s204))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 6.88/5.54 tff(28754,plain,
% 6.88/5.54 (xuntil28(s204) | (~until27(s204))),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28753, 15561, 28747])).
% 6.88/5.54 tff(28755,plain,
% 6.88/5.54 (xuntil28(s204)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28754, 28743])).
% 6.88/5.54 tff(28756,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s204, s205)) | (~xuntil28(s204)) | until27(s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s204, s205)) | (~xuntil28(s204)) | until27(s205))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28757,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s204, s205)) | (~xuntil28(s204)) | until27(s205))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28758,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s204, s205)) | (~xuntil28(s204)) | until27(s205)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28757, 28756])).
% 6.88/5.54 tff(28759,plain,
% 6.88/5.54 ((~xuntil28(s204)) | until27(s205)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28758, 16587, 15580])).
% 6.88/5.54 tff(28760,plain,
% 6.88/5.54 (until27(s205)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28759, 28755])).
% 6.88/5.54 tff(28761,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s205) | node26(s205) | (~until27(s205)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s205) | node26(s205) | (~until27(s205)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28762,plain,
% 6.88/5.54 ((node26(s205) | (~until27(s205)) | xuntil28(s205)) <=> (xuntil28(s205) | node26(s205) | (~until27(s205)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28763,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s205) | (~until27(s205)) | xuntil28(s205))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s205) | node26(s205) | (~until27(s205))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28762])).
% 6.88/5.54 tff(28764,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s205) | (~until27(s205)) | xuntil28(s205))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s205) | node26(s205) | (~until27(s205)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28763, 28761])).
% 6.88/5.54 tff(28765,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s205) | (~until27(s205)) | xuntil28(s205))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28766,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s205) | node26(s205) | (~until27(s205))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28765, 28764])).
% 6.88/5.54 tff(28767,plain,
% 6.88/5.54 (xuntil28(s205)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28766, 15561, 28760, 24508])).
% 6.88/5.54 tff(28768,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s205, s206)) | (~xuntil28(s205)) | until27(s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s205, s206)) | (~xuntil28(s205)) | until27(s206))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28769,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s205, s206)) | (~xuntil28(s205)) | until27(s206))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28770,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s205, s206)) | (~xuntil28(s205)) | until27(s206)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 6.88/5.54 tff(28771,plain,
% 6.88/5.54 ((~xuntil28(s205)) | until27(s206)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28770, 16654, 15580])).
% 6.88/5.54 tff(28772,plain,
% 6.88/5.54 (until27(s206)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28771, 28767])).
% 6.88/5.54 tff(28773,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s206) | node26(s206) | (~until27(s206)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s206) | node26(s206) | (~until27(s206)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28774,plain,
% 6.88/5.54 ((node26(s206) | (~until27(s206)) | xuntil28(s206)) <=> (xuntil28(s206) | node26(s206) | (~until27(s206)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28775,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s206) | (~until27(s206)) | xuntil28(s206))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s206) | node26(s206) | (~until27(s206))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28774])).
% 6.88/5.54 tff(28776,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s206) | (~until27(s206)) | xuntil28(s206))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s206) | node26(s206) | (~until27(s206)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28775, 28773])).
% 6.88/5.54 tff(28777,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s206) | (~until27(s206)) | xuntil28(s206))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28778,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s206) | node26(s206) | (~until27(s206))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 6.88/5.54 tff(28779,plain,
% 6.88/5.54 (xuntil28(s206) | node26(s206)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28778, 15561, 28772])).
% 6.88/5.54 tff(28780,plain,
% 6.88/5.54 (xuntil28(s206)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28779, 24504])).
% 6.88/5.54 tff(28781,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s206, s207)) | (~xuntil28(s206)) | until27(s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s206, s207)) | (~xuntil28(s206)) | until27(s207))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28782,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s206, s207)) | (~xuntil28(s206)) | until27(s207))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28783,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s206, s207)) | (~xuntil28(s206)) | until27(s207)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28782, 28781])).
% 6.88/5.54 tff(28784,plain,
% 6.88/5.54 ((~xuntil28(s206)) | until27(s207)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28783, 16753, 15580])).
% 6.88/5.54 tff(28785,plain,
% 6.88/5.54 (until27(s207)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28784, 28780])).
% 6.88/5.54 tff(28786,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s207) | node26(s207) | (~until27(s207)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s207) | node26(s207) | (~until27(s207)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28787,plain,
% 6.88/5.54 ((node26(s207) | (~until27(s207)) | xuntil28(s207)) <=> (xuntil28(s207) | node26(s207) | (~until27(s207)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28788,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s207) | (~until27(s207)) | xuntil28(s207))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s207) | node26(s207) | (~until27(s207))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28787])).
% 6.88/5.54 tff(28789,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s207) | (~until27(s207)) | xuntil28(s207))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s207) | node26(s207) | (~until27(s207)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28788, 28786])).
% 6.88/5.54 tff(28790,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s207) | (~until27(s207)) | xuntil28(s207))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28791,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s207) | node26(s207) | (~until27(s207))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 6.88/5.54 tff(28792,plain,
% 6.88/5.54 (xuntil28(s207)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28791, 15561, 28785, 24495])).
% 6.88/5.54 tff(28793,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s207, s208)) | (~xuntil28(s207)) | until27(s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s207, s208)) | (~xuntil28(s207)) | until27(s208))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28794,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s207, s208)) | (~xuntil28(s207)) | until27(s208))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28795,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s207, s208)) | (~xuntil28(s207)) | until27(s208)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28794, 28793])).
% 6.88/5.54 tff(28796,plain,
% 6.88/5.54 ((~xuntil28(s207)) | until27(s208)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28795, 16831, 15580])).
% 6.88/5.54 tff(28797,plain,
% 6.88/5.54 (until27(s208)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28796, 28792])).
% 6.88/5.54 tff(28798,plain,
% 6.88/5.54 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s208) | (~node26(s208)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s208) | (~node26(s208)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28799,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s208) | (~node26(s208)))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28800,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s208) | (~node26(s208))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 6.88/5.54 tff(28801,plain,
% 6.88/5.54 (~node26(s208)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28800, 15543, 24486])).
% 6.88/5.54 tff(28802,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s208) | node26(s208) | (~until27(s208)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s208) | node26(s208) | (~until27(s208)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28803,plain,
% 6.88/5.54 ((node26(s208) | (~until27(s208)) | xuntil28(s208)) <=> (xuntil28(s208) | node26(s208) | (~until27(s208)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28804,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s208) | (~until27(s208)) | xuntil28(s208))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s208) | node26(s208) | (~until27(s208))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28803])).
% 6.88/5.54 tff(28805,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s208) | (~until27(s208)) | xuntil28(s208))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s208) | node26(s208) | (~until27(s208)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28804, 28802])).
% 6.88/5.54 tff(28806,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s208) | (~until27(s208)) | xuntil28(s208))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28807,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s208) | node26(s208) | (~until27(s208))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 6.88/5.54 tff(28808,plain,
% 6.88/5.54 (xuntil28(s208) | (~until27(s208))),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28807, 15561, 28801])).
% 6.88/5.54 tff(28809,plain,
% 6.88/5.54 (xuntil28(s208)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28808, 28797])).
% 6.88/5.54 tff(28810,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s208, s209)) | (~xuntil28(s208)) | until27(s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s208, s209)) | (~xuntil28(s208)) | until27(s209))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28811,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s208, s209)) | (~xuntil28(s208)) | until27(s209))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28812,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s208, s209)) | (~xuntil28(s208)) | until27(s209)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28811, 28810])).
% 6.88/5.54 tff(28813,plain,
% 6.88/5.54 ((~xuntil28(s208)) | until27(s209)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28812, 16892, 15580])).
% 6.88/5.54 tff(28814,plain,
% 6.88/5.54 (until27(s209)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28813, 28809])).
% 6.88/5.54 tff(28815,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s209) | node26(s209) | (~until27(s209)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s209) | node26(s209) | (~until27(s209)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28816,plain,
% 6.88/5.54 ((node26(s209) | (~until27(s209)) | xuntil28(s209)) <=> (xuntil28(s209) | node26(s209) | (~until27(s209)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28817,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s209) | (~until27(s209)) | xuntil28(s209))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s209) | node26(s209) | (~until27(s209))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28816])).
% 6.88/5.54 tff(28818,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s209) | (~until27(s209)) | xuntil28(s209))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s209) | node26(s209) | (~until27(s209)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28817, 28815])).
% 6.88/5.54 tff(28819,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s209) | (~until27(s209)) | xuntil28(s209))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28820,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s209) | node26(s209) | (~until27(s209))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 6.88/5.54 tff(28821,plain,
% 6.88/5.54 (xuntil28(s209)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28820, 15561, 28814, 24479])).
% 6.88/5.54 tff(28822,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s209, s210)) | (~xuntil28(s209)) | until27(s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s209, s210)) | (~xuntil28(s209)) | until27(s210))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28823,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s209, s210)) | (~xuntil28(s209)) | until27(s210))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28824,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s209, s210)) | (~xuntil28(s209)) | until27(s210)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 6.88/5.54 tff(28825,plain,
% 6.88/5.54 ((~xuntil28(s209)) | until27(s210)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28824, 16987, 15580])).
% 6.88/5.54 tff(28826,plain,
% 6.88/5.54 (until27(s210)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28825, 28821])).
% 6.88/5.54 tff(28827,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s210) | node26(s210) | (~until27(s210)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s210) | node26(s210) | (~until27(s210)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28828,plain,
% 6.88/5.54 ((node26(s210) | (~until27(s210)) | xuntil28(s210)) <=> (xuntil28(s210) | node26(s210) | (~until27(s210)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28829,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s210) | (~until27(s210)) | xuntil28(s210))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s210) | node26(s210) | (~until27(s210))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28828])).
% 6.88/5.54 tff(28830,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s210) | (~until27(s210)) | xuntil28(s210))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s210) | node26(s210) | (~until27(s210)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28829, 28827])).
% 6.88/5.54 tff(28831,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s210) | (~until27(s210)) | xuntil28(s210))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28832,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s210) | node26(s210) | (~until27(s210))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28831, 28830])).
% 6.88/5.54 tff(28833,plain,
% 6.88/5.54 (xuntil28(s210) | node26(s210)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28832, 15561, 28826])).
% 6.88/5.54 tff(28834,plain,
% 6.88/5.54 (xuntil28(s210)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28833, 24475])).
% 6.88/5.54 tff(28835,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s210, s211)) | (~xuntil28(s210)) | until27(s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s210, s211)) | (~xuntil28(s210)) | until27(s211))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28836,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s210, s211)) | (~xuntil28(s210)) | until27(s211))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28837,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s210, s211)) | (~xuntil28(s210)) | until27(s211)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 6.88/5.54 tff(28838,plain,
% 6.88/5.54 ((~xuntil28(s210)) | until27(s211)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28837, 17051, 15580])).
% 6.88/5.54 tff(28839,plain,
% 6.88/5.54 (until27(s211)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28838, 28834])).
% 6.88/5.54 tff(28840,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s211) | node26(s211) | (~until27(s211)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s211) | node26(s211) | (~until27(s211)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28841,plain,
% 6.88/5.54 ((node26(s211) | (~until27(s211)) | xuntil28(s211)) <=> (xuntil28(s211) | node26(s211) | (~until27(s211)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28842,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s211) | (~until27(s211)) | xuntil28(s211))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s211) | node26(s211) | (~until27(s211))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28841])).
% 6.88/5.54 tff(28843,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s211) | (~until27(s211)) | xuntil28(s211))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s211) | node26(s211) | (~until27(s211)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28842, 28840])).
% 6.88/5.54 tff(28844,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s211) | (~until27(s211)) | xuntil28(s211))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28845,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s211) | node26(s211) | (~until27(s211))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28844, 28843])).
% 6.88/5.54 tff(28846,plain,
% 6.88/5.54 (xuntil28(s211)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28845, 15561, 28839, 24466])).
% 6.88/5.54 tff(28847,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s211, s212)) | (~xuntil28(s211)) | until27(s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s211, s212)) | (~xuntil28(s211)) | until27(s212))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28848,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s211, s212)) | (~xuntil28(s211)) | until27(s212))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28849,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s211, s212)) | (~xuntil28(s211)) | until27(s212)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28848, 28847])).
% 6.88/5.54 tff(28850,plain,
% 6.88/5.54 ((~xuntil28(s211)) | until27(s212)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28849, 17126, 15580])).
% 6.88/5.54 tff(28851,plain,
% 6.88/5.54 (until27(s212)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28850, 28846])).
% 6.88/5.54 tff(28852,plain,
% 6.88/5.54 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s212) | (~node26(s212)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s212) | (~node26(s212)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28853,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s212) | (~node26(s212)))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28854,plain,
% 6.88/5.54 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s212) | (~node26(s212))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 6.88/5.54 tff(28855,plain,
% 6.88/5.54 (~node26(s212)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28854, 15543, 24457])).
% 6.88/5.54 tff(28856,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s212) | node26(s212) | (~until27(s212)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s212) | node26(s212) | (~until27(s212)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28857,plain,
% 6.88/5.54 ((node26(s212) | (~until27(s212)) | xuntil28(s212)) <=> (xuntil28(s212) | node26(s212) | (~until27(s212)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28858,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s212) | (~until27(s212)) | xuntil28(s212))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s212) | node26(s212) | (~until27(s212))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28857])).
% 6.88/5.54 tff(28859,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s212) | (~until27(s212)) | xuntil28(s212))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s212) | node26(s212) | (~until27(s212)))),
% 6.88/5.54 inference(transitivity,[status(thm)],[28858, 28856])).
% 6.88/5.54 tff(28860,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s212) | (~until27(s212)) | xuntil28(s212))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28861,plain,
% 6.88/5.54 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s212) | node26(s212) | (~until27(s212))),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28860, 28859])).
% 6.88/5.54 tff(28862,plain,
% 6.88/5.54 (xuntil28(s212) | (~until27(s212))),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28861, 15561, 28855])).
% 6.88/5.54 tff(28863,plain,
% 6.88/5.54 (xuntil28(s212)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28862, 28851])).
% 6.88/5.54 tff(28864,plain,
% 6.88/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s212, s213)) | (~xuntil28(s212)) | until27(s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s212, s213)) | (~xuntil28(s212)) | until27(s213))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28865,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s212, s213)) | (~xuntil28(s212)) | until27(s213))),
% 6.88/5.54 inference(quant_inst,[status(thm)],[])).
% 6.88/5.54 tff(28866,plain,
% 6.88/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s212, s213)) | (~xuntil28(s212)) | until27(s213)),
% 6.88/5.54 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 6.88/5.54 tff(28867,plain,
% 6.88/5.54 ((~xuntil28(s212)) | until27(s213)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28866, 17215, 15580])).
% 6.88/5.54 tff(28868,plain,
% 6.88/5.54 (until27(s213)),
% 6.88/5.54 inference(unit_resolution,[status(thm)],[28867, 28863])).
% 6.88/5.54 tff(28869,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s213) | node26(s213) | (~until27(s213)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s213) | node26(s213) | (~until27(s213)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28870,plain,
% 6.88/5.54 ((node26(s213) | (~until27(s213)) | xuntil28(s213)) <=> (xuntil28(s213) | node26(s213) | (~until27(s213)))),
% 6.88/5.54 inference(rewrite,[status(thm)],[])).
% 6.88/5.54 tff(28871,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s213) | (~until27(s213)) | xuntil28(s213))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s213) | node26(s213) | (~until27(s213))))),
% 6.88/5.54 inference(monotonicity,[status(thm)],[28870])).
% 6.88/5.54 tff(28872,plain,
% 6.88/5.54 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s213) | (~until27(s213)) | xuntil28(s213))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s213) | node26(s213) | (~until27(s213)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28871, 28869])).
% 6.88/5.55 tff(28873,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s213) | (~until27(s213)) | xuntil28(s213))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28874,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s213) | node26(s213) | (~until27(s213))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28873, 28872])).
% 6.88/5.55 tff(28875,plain,
% 6.88/5.55 (xuntil28(s213)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28874, 15561, 28868, 24450])).
% 6.88/5.55 tff(28876,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s213, s214)) | (~xuntil28(s213)) | until27(s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s213, s214)) | (~xuntil28(s213)) | until27(s214))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28877,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s213, s214)) | (~xuntil28(s213)) | until27(s214))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28878,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s213, s214)) | (~xuntil28(s213)) | until27(s214)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 6.88/5.55 tff(28879,plain,
% 6.88/5.55 ((~xuntil28(s213)) | until27(s214)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28878, 17282, 15580])).
% 6.88/5.55 tff(28880,plain,
% 6.88/5.55 (until27(s214)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28879, 28875])).
% 6.88/5.55 tff(28881,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s214) | node26(s214) | (~until27(s214)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s214) | node26(s214) | (~until27(s214)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28882,plain,
% 6.88/5.55 ((node26(s214) | (~until27(s214)) | xuntil28(s214)) <=> (xuntil28(s214) | node26(s214) | (~until27(s214)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28883,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s214) | (~until27(s214)) | xuntil28(s214))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s214) | node26(s214) | (~until27(s214))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28882])).
% 6.88/5.55 tff(28884,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s214) | (~until27(s214)) | xuntil28(s214))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s214) | node26(s214) | (~until27(s214)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28883, 28881])).
% 6.88/5.55 tff(28885,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s214) | (~until27(s214)) | xuntil28(s214))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28886,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s214) | node26(s214) | (~until27(s214))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 6.88/5.55 tff(28887,plain,
% 6.88/5.55 (xuntil28(s214) | node26(s214)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28886, 15561, 28880])).
% 6.88/5.55 tff(28888,plain,
% 6.88/5.55 (xuntil28(s214)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28887, 24446])).
% 6.88/5.55 tff(28889,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s214, s215)) | (~xuntil28(s214)) | until27(s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s214, s215)) | (~xuntil28(s214)) | until27(s215))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28890,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s214, s215)) | (~xuntil28(s214)) | until27(s215))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28891,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s214, s215)) | (~xuntil28(s214)) | until27(s215)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28890, 28889])).
% 6.88/5.55 tff(28892,plain,
% 6.88/5.55 ((~xuntil28(s214)) | until27(s215)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28891, 17381, 15580])).
% 6.88/5.55 tff(28893,plain,
% 6.88/5.55 (until27(s215)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28892, 28888])).
% 6.88/5.55 tff(28894,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s215) | node26(s215) | (~until27(s215)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s215) | node26(s215) | (~until27(s215)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28895,plain,
% 6.88/5.55 ((node26(s215) | (~until27(s215)) | xuntil28(s215)) <=> (xuntil28(s215) | node26(s215) | (~until27(s215)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28896,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s215) | (~until27(s215)) | xuntil28(s215))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s215) | node26(s215) | (~until27(s215))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28895])).
% 6.88/5.55 tff(28897,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s215) | (~until27(s215)) | xuntil28(s215))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s215) | node26(s215) | (~until27(s215)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28896, 28894])).
% 6.88/5.55 tff(28898,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s215) | (~until27(s215)) | xuntil28(s215))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28899,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s215) | node26(s215) | (~until27(s215))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 6.88/5.55 tff(28900,plain,
% 6.88/5.55 (xuntil28(s215)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28899, 15561, 28893, 24437])).
% 6.88/5.55 tff(28901,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s215, s216)) | (~xuntil28(s215)) | until27(s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s215, s216)) | (~xuntil28(s215)) | until27(s216))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28902,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s215, s216)) | (~xuntil28(s215)) | until27(s216))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28903,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s215, s216)) | (~xuntil28(s215)) | until27(s216)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 6.88/5.55 tff(28904,plain,
% 6.88/5.55 ((~xuntil28(s215)) | until27(s216)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28903, 17459, 15580])).
% 6.88/5.55 tff(28905,plain,
% 6.88/5.55 (until27(s216)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28904, 28900])).
% 6.88/5.55 tff(28906,plain,
% 6.88/5.55 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s216) | (~node26(s216)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s216) | (~node26(s216)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28907,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s216) | (~node26(s216)))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28908,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s216) | (~node26(s216))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28907, 28906])).
% 6.88/5.55 tff(28909,plain,
% 6.88/5.55 (~node26(s216)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28908, 15543, 24428])).
% 6.88/5.55 tff(28910,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s216) | node26(s216) | (~until27(s216)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s216) | node26(s216) | (~until27(s216)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28911,plain,
% 6.88/5.55 ((node26(s216) | (~until27(s216)) | xuntil28(s216)) <=> (xuntil28(s216) | node26(s216) | (~until27(s216)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28912,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s216) | (~until27(s216)) | xuntil28(s216))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s216) | node26(s216) | (~until27(s216))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28911])).
% 6.88/5.55 tff(28913,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s216) | (~until27(s216)) | xuntil28(s216))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s216) | node26(s216) | (~until27(s216)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28912, 28910])).
% 6.88/5.55 tff(28914,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s216) | (~until27(s216)) | xuntil28(s216))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28915,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s216) | node26(s216) | (~until27(s216))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 6.88/5.55 tff(28916,plain,
% 6.88/5.55 (xuntil28(s216) | (~until27(s216))),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28915, 15561, 28909])).
% 6.88/5.55 tff(28917,plain,
% 6.88/5.55 (xuntil28(s216)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28916, 28905])).
% 6.88/5.55 tff(28918,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s216, s217)) | (~xuntil28(s216)) | until27(s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s216, s217)) | (~xuntil28(s216)) | until27(s217))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28919,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s216, s217)) | (~xuntil28(s216)) | until27(s217))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28920,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s216, s217)) | (~xuntil28(s216)) | until27(s217)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28919, 28918])).
% 6.88/5.55 tff(28921,plain,
% 6.88/5.55 ((~xuntil28(s216)) | until27(s217)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28920, 17520, 15580])).
% 6.88/5.55 tff(28922,plain,
% 6.88/5.55 (until27(s217)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28921, 28917])).
% 6.88/5.55 tff(28923,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s217) | node26(s217) | (~until27(s217)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s217) | node26(s217) | (~until27(s217)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28924,plain,
% 6.88/5.55 ((node26(s217) | (~until27(s217)) | xuntil28(s217)) <=> (xuntil28(s217) | node26(s217) | (~until27(s217)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28925,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s217) | (~until27(s217)) | xuntil28(s217))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s217) | node26(s217) | (~until27(s217))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28924])).
% 6.88/5.55 tff(28926,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s217) | (~until27(s217)) | xuntil28(s217))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s217) | node26(s217) | (~until27(s217)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28925, 28923])).
% 6.88/5.55 tff(28927,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s217) | (~until27(s217)) | xuntil28(s217))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28928,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s217) | node26(s217) | (~until27(s217))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28927, 28926])).
% 6.88/5.55 tff(28929,plain,
% 6.88/5.55 (xuntil28(s217)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28928, 15561, 28922, 24421])).
% 6.88/5.55 tff(28930,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s217, s218)) | (~xuntil28(s217)) | until27(s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s217, s218)) | (~xuntil28(s217)) | until27(s218))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28931,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s217, s218)) | (~xuntil28(s217)) | until27(s218))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28932,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s217, s218)) | (~xuntil28(s217)) | until27(s218)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28931, 28930])).
% 6.88/5.55 tff(28933,plain,
% 6.88/5.55 ((~xuntil28(s217)) | until27(s218)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28932, 17615, 15580])).
% 6.88/5.55 tff(28934,plain,
% 6.88/5.55 (until27(s218)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28933, 28929])).
% 6.88/5.55 tff(28935,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s218) | node26(s218) | (~until27(s218)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s218) | node26(s218) | (~until27(s218)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28936,plain,
% 6.88/5.55 ((node26(s218) | (~until27(s218)) | xuntil28(s218)) <=> (xuntil28(s218) | node26(s218) | (~until27(s218)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28937,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s218) | (~until27(s218)) | xuntil28(s218))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s218) | node26(s218) | (~until27(s218))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28936])).
% 6.88/5.55 tff(28938,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s218) | (~until27(s218)) | xuntil28(s218))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s218) | node26(s218) | (~until27(s218)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28937, 28935])).
% 6.88/5.55 tff(28939,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s218) | (~until27(s218)) | xuntil28(s218))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28940,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s218) | node26(s218) | (~until27(s218))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 6.88/5.55 tff(28941,plain,
% 6.88/5.55 (xuntil28(s218) | node26(s218)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28940, 15561, 28934])).
% 6.88/5.55 tff(28942,plain,
% 6.88/5.55 (xuntil28(s218)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28941, 24417])).
% 6.88/5.55 tff(28943,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s218, s219)) | (~xuntil28(s218)) | until27(s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s218, s219)) | (~xuntil28(s218)) | until27(s219))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28944,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s218, s219)) | (~xuntil28(s218)) | until27(s219))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28945,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s218, s219)) | (~xuntil28(s218)) | until27(s219)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 6.88/5.55 tff(28946,plain,
% 6.88/5.55 ((~xuntil28(s218)) | until27(s219)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28945, 17679, 15580])).
% 6.88/5.55 tff(28947,plain,
% 6.88/5.55 (until27(s219)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28946, 28942])).
% 6.88/5.55 tff(28948,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s219) | node26(s219) | (~until27(s219)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s219) | node26(s219) | (~until27(s219)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28949,plain,
% 6.88/5.55 ((node26(s219) | (~until27(s219)) | xuntil28(s219)) <=> (xuntil28(s219) | node26(s219) | (~until27(s219)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28950,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s219) | (~until27(s219)) | xuntil28(s219))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s219) | node26(s219) | (~until27(s219))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28949])).
% 6.88/5.55 tff(28951,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s219) | (~until27(s219)) | xuntil28(s219))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s219) | node26(s219) | (~until27(s219)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28950, 28948])).
% 6.88/5.55 tff(28952,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s219) | (~until27(s219)) | xuntil28(s219))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28953,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s219) | node26(s219) | (~until27(s219))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 6.88/5.55 tff(28954,plain,
% 6.88/5.55 (xuntil28(s219)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28953, 15561, 28947, 24408])).
% 6.88/5.55 tff(28955,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s219, s220)) | (~xuntil28(s219)) | until27(s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s219, s220)) | (~xuntil28(s219)) | until27(s220))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28956,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s219, s220)) | (~xuntil28(s219)) | until27(s220))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28957,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s219, s220)) | (~xuntil28(s219)) | until27(s220)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28956, 28955])).
% 6.88/5.55 tff(28958,plain,
% 6.88/5.55 ((~xuntil28(s219)) | until27(s220)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28957, 17754, 15580])).
% 6.88/5.55 tff(28959,plain,
% 6.88/5.55 (until27(s220)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28958, 28954])).
% 6.88/5.55 tff(28960,plain,
% 6.88/5.55 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s220) | (~node26(s220)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s220) | (~node26(s220)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28961,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s220) | (~node26(s220)))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28962,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s220) | (~node26(s220))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 6.88/5.55 tff(28963,plain,
% 6.88/5.55 (~node26(s220)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28962, 15543, 24399])).
% 6.88/5.55 tff(28964,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s220) | node26(s220) | (~until27(s220)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s220) | node26(s220) | (~until27(s220)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28965,plain,
% 6.88/5.55 ((node26(s220) | (~until27(s220)) | xuntil28(s220)) <=> (xuntil28(s220) | node26(s220) | (~until27(s220)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28966,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s220) | (~until27(s220)) | xuntil28(s220))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s220) | node26(s220) | (~until27(s220))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28965])).
% 6.88/5.55 tff(28967,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s220) | (~until27(s220)) | xuntil28(s220))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s220) | node26(s220) | (~until27(s220)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28966, 28964])).
% 6.88/5.55 tff(28968,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s220) | (~until27(s220)) | xuntil28(s220))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28969,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s220) | node26(s220) | (~until27(s220))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28968, 28967])).
% 6.88/5.55 tff(28970,plain,
% 6.88/5.55 (xuntil28(s220) | (~until27(s220))),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28969, 15561, 28963])).
% 6.88/5.55 tff(28971,plain,
% 6.88/5.55 (xuntil28(s220)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28970, 28959])).
% 6.88/5.55 tff(28972,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s220, s221)) | (~xuntil28(s220)) | until27(s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s220, s221)) | (~xuntil28(s220)) | until27(s221))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28973,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s220, s221)) | (~xuntil28(s220)) | until27(s221))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28974,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s220, s221)) | (~xuntil28(s220)) | until27(s221)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28973, 28972])).
% 6.88/5.55 tff(28975,plain,
% 6.88/5.55 ((~xuntil28(s220)) | until27(s221)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28974, 17843, 15580])).
% 6.88/5.55 tff(28976,plain,
% 6.88/5.55 (until27(s221)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28975, 28971])).
% 6.88/5.55 tff(28977,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s221) | node26(s221) | (~until27(s221)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s221) | node26(s221) | (~until27(s221)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28978,plain,
% 6.88/5.55 ((node26(s221) | (~until27(s221)) | xuntil28(s221)) <=> (xuntil28(s221) | node26(s221) | (~until27(s221)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28979,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s221) | (~until27(s221)) | xuntil28(s221))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s221) | node26(s221) | (~until27(s221))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28978])).
% 6.88/5.55 tff(28980,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s221) | (~until27(s221)) | xuntil28(s221))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s221) | node26(s221) | (~until27(s221)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28979, 28977])).
% 6.88/5.55 tff(28981,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s221) | (~until27(s221)) | xuntil28(s221))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28982,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s221) | node26(s221) | (~until27(s221))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28981, 28980])).
% 6.88/5.55 tff(28983,plain,
% 6.88/5.55 (xuntil28(s221)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28982, 15561, 28976, 24392])).
% 6.88/5.55 tff(28984,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s221, s222)) | (~xuntil28(s221)) | until27(s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s221, s222)) | (~xuntil28(s221)) | until27(s222))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28985,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s221, s222)) | (~xuntil28(s221)) | until27(s222))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28986,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s221, s222)) | (~xuntil28(s221)) | until27(s222)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28985, 28984])).
% 6.88/5.55 tff(28987,plain,
% 6.88/5.55 ((~xuntil28(s221)) | until27(s222)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28986, 17910, 15580])).
% 6.88/5.55 tff(28988,plain,
% 6.88/5.55 (until27(s222)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28987, 28983])).
% 6.88/5.55 tff(28989,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s222) | node26(s222) | (~until27(s222)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s222) | node26(s222) | (~until27(s222)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28990,plain,
% 6.88/5.55 ((node26(s222) | (~until27(s222)) | xuntil28(s222)) <=> (xuntil28(s222) | node26(s222) | (~until27(s222)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28991,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s222) | (~until27(s222)) | xuntil28(s222))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s222) | node26(s222) | (~until27(s222))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[28990])).
% 6.88/5.55 tff(28992,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s222) | (~until27(s222)) | xuntil28(s222))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s222) | node26(s222) | (~until27(s222)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[28991, 28989])).
% 6.88/5.55 tff(28993,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s222) | (~until27(s222)) | xuntil28(s222))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28994,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s222) | node26(s222) | (~until27(s222))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28993, 28992])).
% 6.88/5.55 tff(28995,plain,
% 6.88/5.55 (xuntil28(s222) | node26(s222)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28994, 15561, 28988])).
% 6.88/5.55 tff(28996,plain,
% 6.88/5.55 (xuntil28(s222)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28995, 24388])).
% 6.88/5.55 tff(28997,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s222, s223)) | (~xuntil28(s222)) | until27(s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s222, s223)) | (~xuntil28(s222)) | until27(s223))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(28998,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s222, s223)) | (~xuntil28(s222)) | until27(s223))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(28999,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s222, s223)) | (~xuntil28(s222)) | until27(s223)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[28998, 28997])).
% 6.88/5.55 tff(29000,plain,
% 6.88/5.55 ((~xuntil28(s222)) | until27(s223)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[28999, 18009, 15580])).
% 6.88/5.55 tff(29001,plain,
% 6.88/5.55 (until27(s223)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29000, 28996])).
% 6.88/5.55 tff(29002,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s223) | node26(s223) | (~until27(s223)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s223) | node26(s223) | (~until27(s223)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29003,plain,
% 6.88/5.55 ((node26(s223) | (~until27(s223)) | xuntil28(s223)) <=> (xuntil28(s223) | node26(s223) | (~until27(s223)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29004,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s223) | (~until27(s223)) | xuntil28(s223))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s223) | node26(s223) | (~until27(s223))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[29003])).
% 6.88/5.55 tff(29005,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s223) | (~until27(s223)) | xuntil28(s223))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s223) | node26(s223) | (~until27(s223)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[29004, 29002])).
% 6.88/5.55 tff(29006,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s223) | (~until27(s223)) | xuntil28(s223))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(29007,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s223) | node26(s223) | (~until27(s223))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 6.88/5.55 tff(29008,plain,
% 6.88/5.55 (xuntil28(s223)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29007, 15561, 29001, 24379])).
% 6.88/5.55 tff(29009,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s223, s224)) | (~xuntil28(s223)) | until27(s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s223, s224)) | (~xuntil28(s223)) | until27(s224))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29010,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s223, s224)) | (~xuntil28(s223)) | until27(s224))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(29011,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s223, s224)) | (~xuntil28(s223)) | until27(s224)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 6.88/5.55 tff(29012,plain,
% 6.88/5.55 ((~xuntil28(s223)) | until27(s224)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29011, 18087, 15580])).
% 6.88/5.55 tff(29013,plain,
% 6.88/5.55 (until27(s224)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29012, 29008])).
% 6.88/5.55 tff(29014,plain,
% 6.88/5.55 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s224) | (~node26(s224)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s224) | (~node26(s224)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29015,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s224) | (~node26(s224)))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(29016,plain,
% 6.88/5.55 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s224) | (~node26(s224))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 6.88/5.55 tff(29017,plain,
% 6.88/5.55 (~node26(s224)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29016, 15543, 24370])).
% 6.88/5.55 tff(29018,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s224) | node26(s224) | (~until27(s224)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s224) | node26(s224) | (~until27(s224)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29019,plain,
% 6.88/5.55 ((node26(s224) | (~until27(s224)) | xuntil28(s224)) <=> (xuntil28(s224) | node26(s224) | (~until27(s224)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29020,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s224) | (~until27(s224)) | xuntil28(s224))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s224) | node26(s224) | (~until27(s224))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[29019])).
% 6.88/5.55 tff(29021,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s224) | (~until27(s224)) | xuntil28(s224))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s224) | node26(s224) | (~until27(s224)))),
% 6.88/5.55 inference(transitivity,[status(thm)],[29020, 29018])).
% 6.88/5.55 tff(29022,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s224) | (~until27(s224)) | xuntil28(s224))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(29023,plain,
% 6.88/5.55 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s224) | node26(s224) | (~until27(s224))),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[29022, 29021])).
% 6.88/5.55 tff(29024,plain,
% 6.88/5.55 (xuntil28(s224) | (~until27(s224))),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29023, 15561, 29017])).
% 6.88/5.55 tff(29025,plain,
% 6.88/5.55 (xuntil28(s224)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29024, 29013])).
% 6.88/5.55 tff(29026,plain,
% 6.88/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s224, s225)) | (~xuntil28(s224)) | until27(s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s224, s225)) | (~xuntil28(s224)) | until27(s225))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29027,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s224, s225)) | (~xuntil28(s224)) | until27(s225))),
% 6.88/5.55 inference(quant_inst,[status(thm)],[])).
% 6.88/5.55 tff(29028,plain,
% 6.88/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s224, s225)) | (~xuntil28(s224)) | until27(s225)),
% 6.88/5.55 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 6.88/5.55 tff(29029,plain,
% 6.88/5.55 ((~xuntil28(s224)) | until27(s225)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29028, 18148, 15580])).
% 6.88/5.55 tff(29030,plain,
% 6.88/5.55 (until27(s225)),
% 6.88/5.55 inference(unit_resolution,[status(thm)],[29029, 29025])).
% 6.88/5.55 tff(29031,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s225) | node26(s225) | (~until27(s225)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s225) | node26(s225) | (~until27(s225)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29032,plain,
% 6.88/5.55 ((node26(s225) | (~until27(s225)) | xuntil28(s225)) <=> (xuntil28(s225) | node26(s225) | (~until27(s225)))),
% 6.88/5.55 inference(rewrite,[status(thm)],[])).
% 6.88/5.55 tff(29033,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s225) | (~until27(s225)) | xuntil28(s225))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s225) | node26(s225) | (~until27(s225))))),
% 6.88/5.55 inference(monotonicity,[status(thm)],[29032])).
% 6.88/5.55 tff(29034,plain,
% 6.88/5.55 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s225) | (~until27(s225)) | xuntil28(s225))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s225) | node26(s225) | (~until27(s225)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29033, 29031])).
% 6.88/5.56 tff(29035,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s225) | (~until27(s225)) | xuntil28(s225))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29036,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s225) | node26(s225) | (~until27(s225))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29035, 29034])).
% 6.88/5.56 tff(29037,plain,
% 6.88/5.56 (xuntil28(s225)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29036, 15561, 29030, 24363])).
% 6.88/5.56 tff(29038,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s225, s226)) | (~xuntil28(s225)) | until27(s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s225, s226)) | (~xuntil28(s225)) | until27(s226))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29039,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s225, s226)) | (~xuntil28(s225)) | until27(s226))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29040,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s225, s226)) | (~xuntil28(s225)) | until27(s226)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 6.88/5.56 tff(29041,plain,
% 6.88/5.56 ((~xuntil28(s225)) | until27(s226)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29040, 18243, 15580])).
% 6.88/5.56 tff(29042,plain,
% 6.88/5.56 (until27(s226)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29041, 29037])).
% 6.88/5.56 tff(29043,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s226) | node26(s226) | (~until27(s226)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s226) | node26(s226) | (~until27(s226)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29044,plain,
% 6.88/5.56 ((node26(s226) | (~until27(s226)) | xuntil28(s226)) <=> (xuntil28(s226) | node26(s226) | (~until27(s226)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29045,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s226) | (~until27(s226)) | xuntil28(s226))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s226) | node26(s226) | (~until27(s226))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29044])).
% 6.88/5.56 tff(29046,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s226) | (~until27(s226)) | xuntil28(s226))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s226) | node26(s226) | (~until27(s226)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29045, 29043])).
% 6.88/5.56 tff(29047,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s226) | (~until27(s226)) | xuntil28(s226))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29048,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s226) | node26(s226) | (~until27(s226))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 6.88/5.56 tff(29049,plain,
% 6.88/5.56 (xuntil28(s226) | node26(s226)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29048, 15561, 29042])).
% 6.88/5.56 tff(29050,plain,
% 6.88/5.56 (xuntil28(s226)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29049, 24359])).
% 6.88/5.56 tff(29051,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s226, s227)) | (~xuntil28(s226)) | until27(s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s226, s227)) | (~xuntil28(s226)) | until27(s227))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29052,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s226, s227)) | (~xuntil28(s226)) | until27(s227))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29053,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s226, s227)) | (~xuntil28(s226)) | until27(s227)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29052, 29051])).
% 6.88/5.56 tff(29054,plain,
% 6.88/5.56 ((~xuntil28(s226)) | until27(s227)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29053, 18307, 15580])).
% 6.88/5.56 tff(29055,plain,
% 6.88/5.56 (until27(s227)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29054, 29050])).
% 6.88/5.56 tff(29056,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s227) | node26(s227) | (~until27(s227)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s227) | node26(s227) | (~until27(s227)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29057,plain,
% 6.88/5.56 ((node26(s227) | (~until27(s227)) | xuntil28(s227)) <=> (xuntil28(s227) | node26(s227) | (~until27(s227)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29058,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s227) | (~until27(s227)) | xuntil28(s227))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s227) | node26(s227) | (~until27(s227))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29057])).
% 6.88/5.56 tff(29059,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s227) | (~until27(s227)) | xuntil28(s227))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s227) | node26(s227) | (~until27(s227)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29058, 29056])).
% 6.88/5.56 tff(29060,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s227) | (~until27(s227)) | xuntil28(s227))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29061,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s227) | node26(s227) | (~until27(s227))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 6.88/5.56 tff(29062,plain,
% 6.88/5.56 (xuntil28(s227)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29061, 15561, 29055, 24350])).
% 6.88/5.56 tff(29063,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s227, s228)) | (~xuntil28(s227)) | until27(s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s227, s228)) | (~xuntil28(s227)) | until27(s228))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29064,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s227, s228)) | (~xuntil28(s227)) | until27(s228))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29065,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s227, s228)) | (~xuntil28(s227)) | until27(s228)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 6.88/5.56 tff(29066,plain,
% 6.88/5.56 ((~xuntil28(s227)) | until27(s228)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29065, 18382, 15580])).
% 6.88/5.56 tff(29067,plain,
% 6.88/5.56 (until27(s228)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29066, 29062])).
% 6.88/5.56 tff(29068,plain,
% 6.88/5.56 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s228) | (~node26(s228)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s228) | (~node26(s228)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29069,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s228) | (~node26(s228)))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29070,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s228) | (~node26(s228))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29069, 29068])).
% 6.88/5.56 tff(29071,plain,
% 6.88/5.56 (~node26(s228)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29070, 15543, 24341])).
% 6.88/5.56 tff(29072,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s228) | node26(s228) | (~until27(s228)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s228) | node26(s228) | (~until27(s228)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29073,plain,
% 6.88/5.56 ((node26(s228) | (~until27(s228)) | xuntil28(s228)) <=> (xuntil28(s228) | node26(s228) | (~until27(s228)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29074,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s228) | (~until27(s228)) | xuntil28(s228))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s228) | node26(s228) | (~until27(s228))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29073])).
% 6.88/5.56 tff(29075,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s228) | (~until27(s228)) | xuntil28(s228))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s228) | node26(s228) | (~until27(s228)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29074, 29072])).
% 6.88/5.56 tff(29076,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s228) | (~until27(s228)) | xuntil28(s228))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29077,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s228) | node26(s228) | (~until27(s228))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29076, 29075])).
% 6.88/5.56 tff(29078,plain,
% 6.88/5.56 (xuntil28(s228) | (~until27(s228))),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29077, 15561, 29071])).
% 6.88/5.56 tff(29079,plain,
% 6.88/5.56 (xuntil28(s228)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29078, 29067])).
% 6.88/5.56 tff(29080,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s228, s229)) | (~xuntil28(s228)) | until27(s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s228, s229)) | (~xuntil28(s228)) | until27(s229))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29081,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s228, s229)) | (~xuntil28(s228)) | until27(s229))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29082,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s228, s229)) | (~xuntil28(s228)) | until27(s229)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 6.88/5.56 tff(29083,plain,
% 6.88/5.56 ((~xuntil28(s228)) | until27(s229)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29082, 18471, 15580])).
% 6.88/5.56 tff(29084,plain,
% 6.88/5.56 (until27(s229)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29083, 29079])).
% 6.88/5.56 tff(29085,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s229) | node26(s229) | (~until27(s229)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s229) | node26(s229) | (~until27(s229)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29086,plain,
% 6.88/5.56 ((node26(s229) | (~until27(s229)) | xuntil28(s229)) <=> (xuntil28(s229) | node26(s229) | (~until27(s229)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29087,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s229) | (~until27(s229)) | xuntil28(s229))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s229) | node26(s229) | (~until27(s229))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29086])).
% 6.88/5.56 tff(29088,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s229) | (~until27(s229)) | xuntil28(s229))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s229) | node26(s229) | (~until27(s229)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29087, 29085])).
% 6.88/5.56 tff(29089,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s229) | (~until27(s229)) | xuntil28(s229))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29090,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s229) | node26(s229) | (~until27(s229))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29089, 29088])).
% 6.88/5.56 tff(29091,plain,
% 6.88/5.56 (xuntil28(s229)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29090, 15561, 29084, 24334])).
% 6.88/5.56 tff(29092,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s229, s230)) | (~xuntil28(s229)) | until27(s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s229, s230)) | (~xuntil28(s229)) | until27(s230))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29093,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s229, s230)) | (~xuntil28(s229)) | until27(s230))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29094,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s229, s230)) | (~xuntil28(s229)) | until27(s230)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29093, 29092])).
% 6.88/5.56 tff(29095,plain,
% 6.88/5.56 ((~xuntil28(s229)) | until27(s230)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29094, 18538, 15580])).
% 6.88/5.56 tff(29096,plain,
% 6.88/5.56 (until27(s230)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29095, 29091])).
% 6.88/5.56 tff(29097,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s230) | node26(s230) | (~until27(s230)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s230) | node26(s230) | (~until27(s230)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29098,plain,
% 6.88/5.56 ((node26(s230) | (~until27(s230)) | xuntil28(s230)) <=> (xuntil28(s230) | node26(s230) | (~until27(s230)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29099,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s230) | (~until27(s230)) | xuntil28(s230))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s230) | node26(s230) | (~until27(s230))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29098])).
% 6.88/5.56 tff(29100,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s230) | (~until27(s230)) | xuntil28(s230))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s230) | node26(s230) | (~until27(s230)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29099, 29097])).
% 6.88/5.56 tff(29101,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s230) | (~until27(s230)) | xuntil28(s230))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29102,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s230) | node26(s230) | (~until27(s230))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 6.88/5.56 tff(29103,plain,
% 6.88/5.56 (xuntil28(s230) | node26(s230)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29102, 15561, 29096])).
% 6.88/5.56 tff(29104,plain,
% 6.88/5.56 (xuntil28(s230)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29103, 24330])).
% 6.88/5.56 tff(29105,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s230, s231)) | (~xuntil28(s230)) | until27(s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s230, s231)) | (~xuntil28(s230)) | until27(s231))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29106,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s230, s231)) | (~xuntil28(s230)) | until27(s231))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29107,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s230, s231)) | (~xuntil28(s230)) | until27(s231)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 6.88/5.56 tff(29108,plain,
% 6.88/5.56 ((~xuntil28(s230)) | until27(s231)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29107, 18637, 15580])).
% 6.88/5.56 tff(29109,plain,
% 6.88/5.56 (until27(s231)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29108, 29104])).
% 6.88/5.56 tff(29110,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s231) | node26(s231) | (~until27(s231)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s231) | node26(s231) | (~until27(s231)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29111,plain,
% 6.88/5.56 ((node26(s231) | (~until27(s231)) | xuntil28(s231)) <=> (xuntil28(s231) | node26(s231) | (~until27(s231)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29112,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s231) | (~until27(s231)) | xuntil28(s231))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s231) | node26(s231) | (~until27(s231))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29111])).
% 6.88/5.56 tff(29113,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s231) | (~until27(s231)) | xuntil28(s231))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s231) | node26(s231) | (~until27(s231)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29112, 29110])).
% 6.88/5.56 tff(29114,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s231) | (~until27(s231)) | xuntil28(s231))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29115,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s231) | node26(s231) | (~until27(s231))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29114, 29113])).
% 6.88/5.56 tff(29116,plain,
% 6.88/5.56 (xuntil28(s231)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29115, 15561, 29109, 24321])).
% 6.88/5.56 tff(29117,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s231, s232)) | (~xuntil28(s231)) | until27(s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s231, s232)) | (~xuntil28(s231)) | until27(s232))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29118,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s231, s232)) | (~xuntil28(s231)) | until27(s232))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29119,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s231, s232)) | (~xuntil28(s231)) | until27(s232)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29118, 29117])).
% 6.88/5.56 tff(29120,plain,
% 6.88/5.56 ((~xuntil28(s231)) | until27(s232)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29119, 18715, 15580])).
% 6.88/5.56 tff(29121,plain,
% 6.88/5.56 (until27(s232)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29120, 29116])).
% 6.88/5.56 tff(29122,plain,
% 6.88/5.56 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s232) | (~node26(s232)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s232) | (~node26(s232)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29123,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s232) | (~node26(s232)))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29124,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s232) | (~node26(s232))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 6.88/5.56 tff(29125,plain,
% 6.88/5.56 (~node26(s232)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29124, 15543, 24312])).
% 6.88/5.56 tff(29126,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s232) | node26(s232) | (~until27(s232)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s232) | node26(s232) | (~until27(s232)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29127,plain,
% 6.88/5.56 ((node26(s232) | (~until27(s232)) | xuntil28(s232)) <=> (xuntil28(s232) | node26(s232) | (~until27(s232)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29128,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s232) | (~until27(s232)) | xuntil28(s232))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s232) | node26(s232) | (~until27(s232))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29127])).
% 6.88/5.56 tff(29129,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s232) | (~until27(s232)) | xuntil28(s232))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s232) | node26(s232) | (~until27(s232)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29128, 29126])).
% 6.88/5.56 tff(29130,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s232) | (~until27(s232)) | xuntil28(s232))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29131,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s232) | node26(s232) | (~until27(s232))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29130, 29129])).
% 6.88/5.56 tff(29132,plain,
% 6.88/5.56 (xuntil28(s232) | (~until27(s232))),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29131, 15561, 29125])).
% 6.88/5.56 tff(29133,plain,
% 6.88/5.56 (xuntil28(s232)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29132, 29121])).
% 6.88/5.56 tff(29134,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s232, s233)) | (~xuntil28(s232)) | until27(s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s232, s233)) | (~xuntil28(s232)) | until27(s233))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29135,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s232, s233)) | (~xuntil28(s232)) | until27(s233))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29136,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s232, s233)) | (~xuntil28(s232)) | until27(s233)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 6.88/5.56 tff(29137,plain,
% 6.88/5.56 ((~xuntil28(s232)) | until27(s233)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29136, 18776, 15580])).
% 6.88/5.56 tff(29138,plain,
% 6.88/5.56 (until27(s233)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29137, 29133])).
% 6.88/5.56 tff(29139,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s233) | node26(s233) | (~until27(s233)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s233) | node26(s233) | (~until27(s233)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29140,plain,
% 6.88/5.56 ((node26(s233) | (~until27(s233)) | xuntil28(s233)) <=> (xuntil28(s233) | node26(s233) | (~until27(s233)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29141,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s233) | (~until27(s233)) | xuntil28(s233))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s233) | node26(s233) | (~until27(s233))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29140])).
% 6.88/5.56 tff(29142,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s233) | (~until27(s233)) | xuntil28(s233))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s233) | node26(s233) | (~until27(s233)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29141, 29139])).
% 6.88/5.56 tff(29143,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s233) | (~until27(s233)) | xuntil28(s233))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29144,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s233) | node26(s233) | (~until27(s233))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 6.88/5.56 tff(29145,plain,
% 6.88/5.56 (xuntil28(s233)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29144, 15561, 29138, 24305])).
% 6.88/5.56 tff(29146,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s233, s234)) | (~xuntil28(s233)) | until27(s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s233, s234)) | (~xuntil28(s233)) | until27(s234))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29147,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s233, s234)) | (~xuntil28(s233)) | until27(s234))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29148,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s233, s234)) | (~xuntil28(s233)) | until27(s234)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29147, 29146])).
% 6.88/5.56 tff(29149,plain,
% 6.88/5.56 ((~xuntil28(s233)) | until27(s234)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29148, 18871, 15580])).
% 6.88/5.56 tff(29150,plain,
% 6.88/5.56 (until27(s234)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29149, 29145])).
% 6.88/5.56 tff(29151,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s234) | node26(s234) | (~until27(s234)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s234) | node26(s234) | (~until27(s234)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29152,plain,
% 6.88/5.56 ((node26(s234) | (~until27(s234)) | xuntil28(s234)) <=> (xuntil28(s234) | node26(s234) | (~until27(s234)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29153,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s234) | (~until27(s234)) | xuntil28(s234))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s234) | node26(s234) | (~until27(s234))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29152])).
% 6.88/5.56 tff(29154,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s234) | (~until27(s234)) | xuntil28(s234))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s234) | node26(s234) | (~until27(s234)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29153, 29151])).
% 6.88/5.56 tff(29155,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s234) | (~until27(s234)) | xuntil28(s234))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29156,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s234) | node26(s234) | (~until27(s234))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 6.88/5.56 tff(29157,plain,
% 6.88/5.56 (xuntil28(s234) | node26(s234)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29156, 15561, 29150])).
% 6.88/5.56 tff(29158,plain,
% 6.88/5.56 (xuntil28(s234)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29157, 24301])).
% 6.88/5.56 tff(29159,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s234, s235)) | (~xuntil28(s234)) | until27(s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s234, s235)) | (~xuntil28(s234)) | until27(s235))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29160,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s234, s235)) | (~xuntil28(s234)) | until27(s235))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29161,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s234, s235)) | (~xuntil28(s234)) | until27(s235)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 6.88/5.56 tff(29162,plain,
% 6.88/5.56 ((~xuntil28(s234)) | until27(s235)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29161, 18935, 15580])).
% 6.88/5.56 tff(29163,plain,
% 6.88/5.56 (until27(s235)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29162, 29158])).
% 6.88/5.56 tff(29164,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s235) | node26(s235) | (~until27(s235)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s235) | node26(s235) | (~until27(s235)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29165,plain,
% 6.88/5.56 ((node26(s235) | (~until27(s235)) | xuntil28(s235)) <=> (xuntil28(s235) | node26(s235) | (~until27(s235)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29166,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s235) | (~until27(s235)) | xuntil28(s235))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s235) | node26(s235) | (~until27(s235))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29165])).
% 6.88/5.56 tff(29167,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s235) | (~until27(s235)) | xuntil28(s235))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s235) | node26(s235) | (~until27(s235)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29166, 29164])).
% 6.88/5.56 tff(29168,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s235) | (~until27(s235)) | xuntil28(s235))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29169,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s235) | node26(s235) | (~until27(s235))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 6.88/5.56 tff(29170,plain,
% 6.88/5.56 (xuntil28(s235)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29169, 15561, 29163, 24292])).
% 6.88/5.56 tff(29171,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s235, s236)) | (~xuntil28(s235)) | until27(s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s235, s236)) | (~xuntil28(s235)) | until27(s236))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29172,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s235, s236)) | (~xuntil28(s235)) | until27(s236))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29173,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s235, s236)) | (~xuntil28(s235)) | until27(s236)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 6.88/5.56 tff(29174,plain,
% 6.88/5.56 ((~xuntil28(s235)) | until27(s236)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29173, 19010, 15580])).
% 6.88/5.56 tff(29175,plain,
% 6.88/5.56 (until27(s236)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29174, 29170])).
% 6.88/5.56 tff(29176,plain,
% 6.88/5.56 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s236) | (~node26(s236)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s236) | (~node26(s236)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29177,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s236) | (~node26(s236)))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29178,plain,
% 6.88/5.56 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s236) | (~node26(s236))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29177, 29176])).
% 6.88/5.56 tff(29179,plain,
% 6.88/5.56 (~node26(s236)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29178, 15543, 24283])).
% 6.88/5.56 tff(29180,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s236) | node26(s236) | (~until27(s236)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s236) | node26(s236) | (~until27(s236)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29181,plain,
% 6.88/5.56 ((node26(s236) | (~until27(s236)) | xuntil28(s236)) <=> (xuntil28(s236) | node26(s236) | (~until27(s236)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29182,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s236) | (~until27(s236)) | xuntil28(s236))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s236) | node26(s236) | (~until27(s236))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29181])).
% 6.88/5.56 tff(29183,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s236) | (~until27(s236)) | xuntil28(s236))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s236) | node26(s236) | (~until27(s236)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29182, 29180])).
% 6.88/5.56 tff(29184,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s236) | (~until27(s236)) | xuntil28(s236))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29185,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s236) | node26(s236) | (~until27(s236))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 6.88/5.56 tff(29186,plain,
% 6.88/5.56 (xuntil28(s236) | (~until27(s236))),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29185, 15561, 29179])).
% 6.88/5.56 tff(29187,plain,
% 6.88/5.56 (xuntil28(s236)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29186, 29175])).
% 6.88/5.56 tff(29188,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s236, s237)) | (~xuntil28(s236)) | until27(s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s236, s237)) | (~xuntil28(s236)) | until27(s237))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29189,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s236, s237)) | (~xuntil28(s236)) | until27(s237))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29190,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s236, s237)) | (~xuntil28(s236)) | until27(s237)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29189, 29188])).
% 6.88/5.56 tff(29191,plain,
% 6.88/5.56 ((~xuntil28(s236)) | until27(s237)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29190, 19099, 15580])).
% 6.88/5.56 tff(29192,plain,
% 6.88/5.56 (until27(s237)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29191, 29187])).
% 6.88/5.56 tff(29193,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s237) | node26(s237) | (~until27(s237)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s237) | node26(s237) | (~until27(s237)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29194,plain,
% 6.88/5.56 ((node26(s237) | (~until27(s237)) | xuntil28(s237)) <=> (xuntil28(s237) | node26(s237) | (~until27(s237)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29195,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s237) | (~until27(s237)) | xuntil28(s237))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s237) | node26(s237) | (~until27(s237))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29194])).
% 6.88/5.56 tff(29196,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s237) | (~until27(s237)) | xuntil28(s237))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s237) | node26(s237) | (~until27(s237)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29195, 29193])).
% 6.88/5.56 tff(29197,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s237) | (~until27(s237)) | xuntil28(s237))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29198,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s237) | node26(s237) | (~until27(s237))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 6.88/5.56 tff(29199,plain,
% 6.88/5.56 (xuntil28(s237)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29198, 15561, 29192, 24276])).
% 6.88/5.56 tff(29200,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s237, s238)) | (~xuntil28(s237)) | until27(s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s237, s238)) | (~xuntil28(s237)) | until27(s238))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29201,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s237, s238)) | (~xuntil28(s237)) | until27(s238))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29202,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s237, s238)) | (~xuntil28(s237)) | until27(s238)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 6.88/5.56 tff(29203,plain,
% 6.88/5.56 ((~xuntil28(s237)) | until27(s238)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29202, 19166, 15580])).
% 6.88/5.56 tff(29204,plain,
% 6.88/5.56 (until27(s238)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29203, 29199])).
% 6.88/5.56 tff(29205,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s238) | node26(s238) | (~until27(s238)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s238) | node26(s238) | (~until27(s238)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29206,plain,
% 6.88/5.56 ((node26(s238) | (~until27(s238)) | xuntil28(s238)) <=> (xuntil28(s238) | node26(s238) | (~until27(s238)))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29207,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s238) | (~until27(s238)) | xuntil28(s238))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s238) | node26(s238) | (~until27(s238))))),
% 6.88/5.56 inference(monotonicity,[status(thm)],[29206])).
% 6.88/5.56 tff(29208,plain,
% 6.88/5.56 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s238) | (~until27(s238)) | xuntil28(s238))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s238) | node26(s238) | (~until27(s238)))),
% 6.88/5.56 inference(transitivity,[status(thm)],[29207, 29205])).
% 6.88/5.56 tff(29209,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s238) | (~until27(s238)) | xuntil28(s238))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29210,plain,
% 6.88/5.56 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s238) | node26(s238) | (~until27(s238))),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 6.88/5.56 tff(29211,plain,
% 6.88/5.56 (xuntil28(s238) | node26(s238)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29210, 15561, 29204])).
% 6.88/5.56 tff(29212,plain,
% 6.88/5.56 (xuntil28(s238)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29211, 24272])).
% 6.88/5.56 tff(29213,plain,
% 6.88/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s238, s239)) | (~xuntil28(s238)) | until27(s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s238, s239)) | (~xuntil28(s238)) | until27(s239))),
% 6.88/5.56 inference(rewrite,[status(thm)],[])).
% 6.88/5.56 tff(29214,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s238, s239)) | (~xuntil28(s238)) | until27(s239))),
% 6.88/5.56 inference(quant_inst,[status(thm)],[])).
% 6.88/5.56 tff(29215,plain,
% 6.88/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s238, s239)) | (~xuntil28(s238)) | until27(s239)),
% 6.88/5.56 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 6.88/5.56 tff(29216,plain,
% 6.88/5.56 ((~xuntil28(s238)) | until27(s239)),
% 6.88/5.56 inference(unit_resolution,[status(thm)],[29215, 19265, 15580])).
% 6.88/5.57 tff(29217,plain,
% 6.88/5.57 (until27(s239)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29216, 29212])).
% 6.88/5.57 tff(29218,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s239) | node26(s239) | (~until27(s239)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s239) | node26(s239) | (~until27(s239)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29219,plain,
% 6.88/5.57 ((node26(s239) | (~until27(s239)) | xuntil28(s239)) <=> (xuntil28(s239) | node26(s239) | (~until27(s239)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29220,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s239) | (~until27(s239)) | xuntil28(s239))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s239) | node26(s239) | (~until27(s239))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29219])).
% 6.88/5.57 tff(29221,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s239) | (~until27(s239)) | xuntil28(s239))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s239) | node26(s239) | (~until27(s239)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29220, 29218])).
% 6.88/5.57 tff(29222,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s239) | (~until27(s239)) | xuntil28(s239))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29223,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s239) | node26(s239) | (~until27(s239))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 6.88/5.57 tff(29224,plain,
% 6.88/5.57 (xuntil28(s239)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29223, 15561, 29217, 24263])).
% 6.88/5.57 tff(29225,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s239, s240)) | (~xuntil28(s239)) | until27(s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s239, s240)) | (~xuntil28(s239)) | until27(s240))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29226,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s239, s240)) | (~xuntil28(s239)) | until27(s240))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29227,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s239, s240)) | (~xuntil28(s239)) | until27(s240)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 6.88/5.57 tff(29228,plain,
% 6.88/5.57 ((~xuntil28(s239)) | until27(s240)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29227, 19343, 15580])).
% 6.88/5.57 tff(29229,plain,
% 6.88/5.57 (until27(s240)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29228, 29224])).
% 6.88/5.57 tff(29230,plain,
% 6.88/5.57 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s240) | (~node26(s240)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s240) | (~node26(s240)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29231,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s240) | (~node26(s240)))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29232,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s240) | (~node26(s240))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 6.88/5.57 tff(29233,plain,
% 6.88/5.57 (~node26(s240)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29232, 15543, 24254])).
% 6.88/5.57 tff(29234,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s240) | node26(s240) | (~until27(s240)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s240) | node26(s240) | (~until27(s240)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29235,plain,
% 6.88/5.57 ((node26(s240) | (~until27(s240)) | xuntil28(s240)) <=> (xuntil28(s240) | node26(s240) | (~until27(s240)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29236,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s240) | (~until27(s240)) | xuntil28(s240))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s240) | node26(s240) | (~until27(s240))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29235])).
% 6.88/5.57 tff(29237,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s240) | (~until27(s240)) | xuntil28(s240))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s240) | node26(s240) | (~until27(s240)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29236, 29234])).
% 6.88/5.57 tff(29238,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s240) | (~until27(s240)) | xuntil28(s240))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29239,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s240) | node26(s240) | (~until27(s240))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 6.88/5.57 tff(29240,plain,
% 6.88/5.57 (xuntil28(s240) | (~until27(s240))),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29239, 15561, 29233])).
% 6.88/5.57 tff(29241,plain,
% 6.88/5.57 (xuntil28(s240)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29240, 29229])).
% 6.88/5.57 tff(29242,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s240, s241)) | (~xuntil28(s240)) | until27(s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s240, s241)) | (~xuntil28(s240)) | until27(s241))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29243,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s240, s241)) | (~xuntil28(s240)) | until27(s241))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29244,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s240, s241)) | (~xuntil28(s240)) | until27(s241)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29243, 29242])).
% 6.88/5.57 tff(29245,plain,
% 6.88/5.57 ((~xuntil28(s240)) | until27(s241)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29244, 19404, 15580])).
% 6.88/5.57 tff(29246,plain,
% 6.88/5.57 (until27(s241)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29245, 29241])).
% 6.88/5.57 tff(29247,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s241) | node26(s241) | (~until27(s241)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s241) | node26(s241) | (~until27(s241)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29248,plain,
% 6.88/5.57 ((node26(s241) | (~until27(s241)) | xuntil28(s241)) <=> (xuntil28(s241) | node26(s241) | (~until27(s241)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29249,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s241) | (~until27(s241)) | xuntil28(s241))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s241) | node26(s241) | (~until27(s241))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29248])).
% 6.88/5.57 tff(29250,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s241) | (~until27(s241)) | xuntil28(s241))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s241) | node26(s241) | (~until27(s241)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29249, 29247])).
% 6.88/5.57 tff(29251,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s241) | (~until27(s241)) | xuntil28(s241))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29252,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s241) | node26(s241) | (~until27(s241))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29251, 29250])).
% 6.88/5.57 tff(29253,plain,
% 6.88/5.57 (xuntil28(s241)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29252, 15561, 29246, 24247])).
% 6.88/5.57 tff(29254,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s241, s242)) | (~xuntil28(s241)) | until27(s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s241, s242)) | (~xuntil28(s241)) | until27(s242))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29255,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s241, s242)) | (~xuntil28(s241)) | until27(s242))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29256,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s241, s242)) | (~xuntil28(s241)) | until27(s242)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29255, 29254])).
% 6.88/5.57 tff(29257,plain,
% 6.88/5.57 ((~xuntil28(s241)) | until27(s242)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29256, 19499, 15580])).
% 6.88/5.57 tff(29258,plain,
% 6.88/5.57 (until27(s242)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29257, 29253])).
% 6.88/5.57 tff(29259,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s242) | node26(s242) | (~until27(s242)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s242) | node26(s242) | (~until27(s242)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29260,plain,
% 6.88/5.57 ((node26(s242) | (~until27(s242)) | xuntil28(s242)) <=> (xuntil28(s242) | node26(s242) | (~until27(s242)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29261,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s242) | (~until27(s242)) | xuntil28(s242))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s242) | node26(s242) | (~until27(s242))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29260])).
% 6.88/5.57 tff(29262,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s242) | (~until27(s242)) | xuntil28(s242))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s242) | node26(s242) | (~until27(s242)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29261, 29259])).
% 6.88/5.57 tff(29263,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s242) | (~until27(s242)) | xuntil28(s242))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29264,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s242) | node26(s242) | (~until27(s242))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 6.88/5.57 tff(29265,plain,
% 6.88/5.57 (xuntil28(s242) | node26(s242)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29264, 15561, 29258])).
% 6.88/5.57 tff(29266,plain,
% 6.88/5.57 (xuntil28(s242)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29265, 24243])).
% 6.88/5.57 tff(29267,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s242, s243)) | (~xuntil28(s242)) | until27(s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s242, s243)) | (~xuntil28(s242)) | until27(s243))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29268,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s242, s243)) | (~xuntil28(s242)) | until27(s243))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29269,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s242, s243)) | (~xuntil28(s242)) | until27(s243)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 6.88/5.57 tff(29270,plain,
% 6.88/5.57 ((~xuntil28(s242)) | until27(s243)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29269, 19563, 15580])).
% 6.88/5.57 tff(29271,plain,
% 6.88/5.57 (until27(s243)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29270, 29266])).
% 6.88/5.57 tff(29272,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s243) | node26(s243) | (~until27(s243)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s243) | node26(s243) | (~until27(s243)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29273,plain,
% 6.88/5.57 ((node26(s243) | (~until27(s243)) | xuntil28(s243)) <=> (xuntil28(s243) | node26(s243) | (~until27(s243)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29274,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s243) | (~until27(s243)) | xuntil28(s243))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s243) | node26(s243) | (~until27(s243))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29273])).
% 6.88/5.57 tff(29275,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s243) | (~until27(s243)) | xuntil28(s243))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s243) | node26(s243) | (~until27(s243)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29274, 29272])).
% 6.88/5.57 tff(29276,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s243) | (~until27(s243)) | xuntil28(s243))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29277,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s243) | node26(s243) | (~until27(s243))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 6.88/5.57 tff(29278,plain,
% 6.88/5.57 (xuntil28(s243)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29277, 15561, 29271, 24234])).
% 6.88/5.57 tff(29279,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s243, s244)) | (~xuntil28(s243)) | until27(s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s243, s244)) | (~xuntil28(s243)) | until27(s244))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29280,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s243, s244)) | (~xuntil28(s243)) | until27(s244))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29281,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s243, s244)) | (~xuntil28(s243)) | until27(s244)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 6.88/5.57 tff(29282,plain,
% 6.88/5.57 ((~xuntil28(s243)) | until27(s244)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29281, 19638, 15580])).
% 6.88/5.57 tff(29283,plain,
% 6.88/5.57 (until27(s244)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29282, 29278])).
% 6.88/5.57 tff(29284,plain,
% 6.88/5.57 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s244) | (~node26(s244)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s244) | (~node26(s244)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29285,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s244) | (~node26(s244)))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29286,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s244) | (~node26(s244))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 6.88/5.57 tff(29287,plain,
% 6.88/5.57 (~node26(s244)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29286, 15543, 24225])).
% 6.88/5.57 tff(29288,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s244) | node26(s244) | (~until27(s244)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s244) | node26(s244) | (~until27(s244)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29289,plain,
% 6.88/5.57 ((node26(s244) | (~until27(s244)) | xuntil28(s244)) <=> (xuntil28(s244) | node26(s244) | (~until27(s244)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29290,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s244) | (~until27(s244)) | xuntil28(s244))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s244) | node26(s244) | (~until27(s244))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29289])).
% 6.88/5.57 tff(29291,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s244) | (~until27(s244)) | xuntil28(s244))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s244) | node26(s244) | (~until27(s244)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29290, 29288])).
% 6.88/5.57 tff(29292,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s244) | (~until27(s244)) | xuntil28(s244))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29293,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s244) | node26(s244) | (~until27(s244))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29292, 29291])).
% 6.88/5.57 tff(29294,plain,
% 6.88/5.57 (xuntil28(s244) | (~until27(s244))),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29293, 15561, 29287])).
% 6.88/5.57 tff(29295,plain,
% 6.88/5.57 (xuntil28(s244)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29294, 29283])).
% 6.88/5.57 tff(29296,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s244, s245)) | (~xuntil28(s244)) | until27(s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s244, s245)) | (~xuntil28(s244)) | until27(s245))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29297,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s244, s245)) | (~xuntil28(s244)) | until27(s245))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29298,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s244, s245)) | (~xuntil28(s244)) | until27(s245)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29297, 29296])).
% 6.88/5.57 tff(29299,plain,
% 6.88/5.57 ((~xuntil28(s244)) | until27(s245)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29298, 19727, 15580])).
% 6.88/5.57 tff(29300,plain,
% 6.88/5.57 (until27(s245)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29299, 29295])).
% 6.88/5.57 tff(29301,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s245) | node26(s245) | (~until27(s245)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s245) | node26(s245) | (~until27(s245)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29302,plain,
% 6.88/5.57 ((node26(s245) | (~until27(s245)) | xuntil28(s245)) <=> (xuntil28(s245) | node26(s245) | (~until27(s245)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29303,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s245) | (~until27(s245)) | xuntil28(s245))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s245) | node26(s245) | (~until27(s245))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29302])).
% 6.88/5.57 tff(29304,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s245) | (~until27(s245)) | xuntil28(s245))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s245) | node26(s245) | (~until27(s245)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29303, 29301])).
% 6.88/5.57 tff(29305,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s245) | (~until27(s245)) | xuntil28(s245))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29306,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s245) | node26(s245) | (~until27(s245))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29305, 29304])).
% 6.88/5.57 tff(29307,plain,
% 6.88/5.57 (xuntil28(s245)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29306, 15561, 29300, 24218])).
% 6.88/5.57 tff(29308,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s245, s246)) | (~xuntil28(s245)) | until27(s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s245, s246)) | (~xuntil28(s245)) | until27(s246))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29309,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s245, s246)) | (~xuntil28(s245)) | until27(s246))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29310,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s245, s246)) | (~xuntil28(s245)) | until27(s246)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29309, 29308])).
% 6.88/5.57 tff(29311,plain,
% 6.88/5.57 ((~xuntil28(s245)) | until27(s246)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29310, 19794, 15580])).
% 6.88/5.57 tff(29312,plain,
% 6.88/5.57 (until27(s246)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29311, 29307])).
% 6.88/5.57 tff(29313,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s246) | node26(s246) | (~until27(s246)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s246) | node26(s246) | (~until27(s246)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29314,plain,
% 6.88/5.57 ((node26(s246) | (~until27(s246)) | xuntil28(s246)) <=> (xuntil28(s246) | node26(s246) | (~until27(s246)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29315,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s246) | (~until27(s246)) | xuntil28(s246))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s246) | node26(s246) | (~until27(s246))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29314])).
% 6.88/5.57 tff(29316,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s246) | (~until27(s246)) | xuntil28(s246))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s246) | node26(s246) | (~until27(s246)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29315, 29313])).
% 6.88/5.57 tff(29317,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s246) | (~until27(s246)) | xuntil28(s246))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29318,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s246) | node26(s246) | (~until27(s246))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29317, 29316])).
% 6.88/5.57 tff(29319,plain,
% 6.88/5.57 (xuntil28(s246) | node26(s246)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29318, 15561, 29312])).
% 6.88/5.57 tff(29320,plain,
% 6.88/5.57 (xuntil28(s246)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29319, 24214])).
% 6.88/5.57 tff(29321,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s246, s247)) | (~xuntil28(s246)) | until27(s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s246, s247)) | (~xuntil28(s246)) | until27(s247))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29322,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s246, s247)) | (~xuntil28(s246)) | until27(s247))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29323,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s246, s247)) | (~xuntil28(s246)) | until27(s247)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 6.88/5.57 tff(29324,plain,
% 6.88/5.57 ((~xuntil28(s246)) | until27(s247)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29323, 19893, 15580])).
% 6.88/5.57 tff(29325,plain,
% 6.88/5.57 (until27(s247)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29324, 29320])).
% 6.88/5.57 tff(29326,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s247) | node26(s247) | (~until27(s247)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s247) | node26(s247) | (~until27(s247)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29327,plain,
% 6.88/5.57 ((node26(s247) | (~until27(s247)) | xuntil28(s247)) <=> (xuntil28(s247) | node26(s247) | (~until27(s247)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29328,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s247) | (~until27(s247)) | xuntil28(s247))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s247) | node26(s247) | (~until27(s247))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29327])).
% 6.88/5.57 tff(29329,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s247) | (~until27(s247)) | xuntil28(s247))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s247) | node26(s247) | (~until27(s247)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29328, 29326])).
% 6.88/5.57 tff(29330,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s247) | (~until27(s247)) | xuntil28(s247))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29331,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s247) | node26(s247) | (~until27(s247))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 6.88/5.57 tff(29332,plain,
% 6.88/5.57 (xuntil28(s247)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29331, 15561, 29325, 24205])).
% 6.88/5.57 tff(29333,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s247, s248)) | (~xuntil28(s247)) | until27(s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s247, s248)) | (~xuntil28(s247)) | until27(s248))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29334,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s247, s248)) | (~xuntil28(s247)) | until27(s248))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29335,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s247, s248)) | (~xuntil28(s247)) | until27(s248)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 6.88/5.57 tff(29336,plain,
% 6.88/5.57 ((~xuntil28(s247)) | until27(s248)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29335, 19971, 15580])).
% 6.88/5.57 tff(29337,plain,
% 6.88/5.57 (until27(s248)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29336, 29332])).
% 6.88/5.57 tff(29338,plain,
% 6.88/5.57 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s248) | (~node26(s248)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s248) | (~node26(s248)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29339,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s248) | (~node26(s248)))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29340,plain,
% 6.88/5.57 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s248) | (~node26(s248))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 6.88/5.57 tff(29341,plain,
% 6.88/5.57 (~node26(s248)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29340, 15543, 24196])).
% 6.88/5.57 tff(29342,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s248) | node26(s248) | (~until27(s248)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s248) | node26(s248) | (~until27(s248)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29343,plain,
% 6.88/5.57 ((node26(s248) | (~until27(s248)) | xuntil28(s248)) <=> (xuntil28(s248) | node26(s248) | (~until27(s248)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29344,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s248) | (~until27(s248)) | xuntil28(s248))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s248) | node26(s248) | (~until27(s248))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29343])).
% 6.88/5.57 tff(29345,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s248) | (~until27(s248)) | xuntil28(s248))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s248) | node26(s248) | (~until27(s248)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29344, 29342])).
% 6.88/5.57 tff(29346,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s248) | (~until27(s248)) | xuntil28(s248))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29347,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s248) | node26(s248) | (~until27(s248))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 6.88/5.57 tff(29348,plain,
% 6.88/5.57 (xuntil28(s248) | (~until27(s248))),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29347, 15561, 29341])).
% 6.88/5.57 tff(29349,plain,
% 6.88/5.57 (xuntil28(s248)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29348, 29337])).
% 6.88/5.57 tff(29350,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s248, s249)) | (~xuntil28(s248)) | until27(s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s248, s249)) | (~xuntil28(s248)) | until27(s249))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29351,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s248, s249)) | (~xuntil28(s248)) | until27(s249))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29352,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s248, s249)) | (~xuntil28(s248)) | until27(s249)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 6.88/5.57 tff(29353,plain,
% 6.88/5.57 ((~xuntil28(s248)) | until27(s249)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29352, 20032, 15580])).
% 6.88/5.57 tff(29354,plain,
% 6.88/5.57 (until27(s249)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29353, 29349])).
% 6.88/5.57 tff(29355,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s249) | node26(s249) | (~until27(s249)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s249) | node26(s249) | (~until27(s249)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29356,plain,
% 6.88/5.57 ((node26(s249) | (~until27(s249)) | xuntil28(s249)) <=> (xuntil28(s249) | node26(s249) | (~until27(s249)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29357,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s249) | (~until27(s249)) | xuntil28(s249))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s249) | node26(s249) | (~until27(s249))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29356])).
% 6.88/5.57 tff(29358,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s249) | (~until27(s249)) | xuntil28(s249))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s249) | node26(s249) | (~until27(s249)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29357, 29355])).
% 6.88/5.57 tff(29359,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s249) | (~until27(s249)) | xuntil28(s249))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29360,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s249) | node26(s249) | (~until27(s249))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29359, 29358])).
% 6.88/5.57 tff(29361,plain,
% 6.88/5.57 (xuntil28(s249)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29360, 15561, 29354, 24189])).
% 6.88/5.57 tff(29362,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s249, s250)) | (~xuntil28(s249)) | until27(s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s249, s250)) | (~xuntil28(s249)) | until27(s250))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29363,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s249, s250)) | (~xuntil28(s249)) | until27(s250))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29364,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s249, s250)) | (~xuntil28(s249)) | until27(s250)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 6.88/5.57 tff(29365,plain,
% 6.88/5.57 ((~xuntil28(s249)) | until27(s250)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29364, 20127, 15580])).
% 6.88/5.57 tff(29366,plain,
% 6.88/5.57 (until27(s250)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29365, 29361])).
% 6.88/5.57 tff(29367,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s250) | node26(s250) | (~until27(s250)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s250) | node26(s250) | (~until27(s250)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29368,plain,
% 6.88/5.57 ((node26(s250) | (~until27(s250)) | xuntil28(s250)) <=> (xuntil28(s250) | node26(s250) | (~until27(s250)))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29369,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s250) | (~until27(s250)) | xuntil28(s250))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s250) | node26(s250) | (~until27(s250))))),
% 6.88/5.57 inference(monotonicity,[status(thm)],[29368])).
% 6.88/5.57 tff(29370,plain,
% 6.88/5.57 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s250) | (~until27(s250)) | xuntil28(s250))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s250) | node26(s250) | (~until27(s250)))),
% 6.88/5.57 inference(transitivity,[status(thm)],[29369, 29367])).
% 6.88/5.57 tff(29371,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s250) | (~until27(s250)) | xuntil28(s250))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29372,plain,
% 6.88/5.57 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s250) | node26(s250) | (~until27(s250))),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29371, 29370])).
% 6.88/5.57 tff(29373,plain,
% 6.88/5.57 (xuntil28(s250) | node26(s250)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29372, 15561, 29366])).
% 6.88/5.57 tff(29374,plain,
% 6.88/5.57 (xuntil28(s250)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29373, 24185])).
% 6.88/5.57 tff(29375,plain,
% 6.88/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s250, s251)) | (~xuntil28(s250)) | until27(s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s250, s251)) | (~xuntil28(s250)) | until27(s251))),
% 6.88/5.57 inference(rewrite,[status(thm)],[])).
% 6.88/5.57 tff(29376,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s250, s251)) | (~xuntil28(s250)) | until27(s251))),
% 6.88/5.57 inference(quant_inst,[status(thm)],[])).
% 6.88/5.57 tff(29377,plain,
% 6.88/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s250, s251)) | (~xuntil28(s250)) | until27(s251)),
% 6.88/5.57 inference(modus_ponens,[status(thm)],[29376, 29375])).
% 6.88/5.57 tff(29378,plain,
% 6.88/5.57 ((~xuntil28(s250)) | until27(s251)),
% 6.88/5.57 inference(unit_resolution,[status(thm)],[29377, 20191, 15580])).
% 6.88/5.58 tff(29379,plain,
% 6.88/5.58 (until27(s251)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29378, 29374])).
% 6.88/5.58 tff(29380,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s251) | node26(s251) | (~until27(s251)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s251) | node26(s251) | (~until27(s251)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29381,plain,
% 6.88/5.58 ((node26(s251) | (~until27(s251)) | xuntil28(s251)) <=> (xuntil28(s251) | node26(s251) | (~until27(s251)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29382,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s251) | (~until27(s251)) | xuntil28(s251))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s251) | node26(s251) | (~until27(s251))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29381])).
% 6.88/5.58 tff(29383,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s251) | (~until27(s251)) | xuntil28(s251))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s251) | node26(s251) | (~until27(s251)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29382, 29380])).
% 6.88/5.58 tff(29384,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s251) | (~until27(s251)) | xuntil28(s251))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29385,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s251) | node26(s251) | (~until27(s251))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29384, 29383])).
% 6.88/5.58 tff(29386,plain,
% 6.88/5.58 (xuntil28(s251)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29385, 15561, 29379, 24176])).
% 6.88/5.58 tff(29387,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s251, s252)) | (~xuntil28(s251)) | until27(s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s251, s252)) | (~xuntil28(s251)) | until27(s252))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29388,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s251, s252)) | (~xuntil28(s251)) | until27(s252))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29389,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s251, s252)) | (~xuntil28(s251)) | until27(s252)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29388, 29387])).
% 6.88/5.58 tff(29390,plain,
% 6.88/5.58 ((~xuntil28(s251)) | until27(s252)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29389, 20266, 15580])).
% 6.88/5.58 tff(29391,plain,
% 6.88/5.58 (until27(s252)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29390, 29386])).
% 6.88/5.58 tff(29392,plain,
% 6.88/5.58 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s252) | (~node26(s252)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s252) | (~node26(s252)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29393,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s252) | (~node26(s252)))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29394,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s252) | (~node26(s252))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29393, 29392])).
% 6.88/5.58 tff(29395,plain,
% 6.88/5.58 (~node26(s252)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29394, 15543, 24167])).
% 6.88/5.58 tff(29396,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s252) | node26(s252) | (~until27(s252)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s252) | node26(s252) | (~until27(s252)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29397,plain,
% 6.88/5.58 ((node26(s252) | (~until27(s252)) | xuntil28(s252)) <=> (xuntil28(s252) | node26(s252) | (~until27(s252)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29398,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s252) | (~until27(s252)) | xuntil28(s252))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s252) | node26(s252) | (~until27(s252))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29397])).
% 6.88/5.58 tff(29399,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s252) | (~until27(s252)) | xuntil28(s252))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s252) | node26(s252) | (~until27(s252)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29398, 29396])).
% 6.88/5.58 tff(29400,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s252) | (~until27(s252)) | xuntil28(s252))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29401,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s252) | node26(s252) | (~until27(s252))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29400, 29399])).
% 6.88/5.58 tff(29402,plain,
% 6.88/5.58 (xuntil28(s252) | (~until27(s252))),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29401, 15561, 29395])).
% 6.88/5.58 tff(29403,plain,
% 6.88/5.58 (xuntil28(s252)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29402, 29391])).
% 6.88/5.58 tff(29404,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s252, s253)) | (~xuntil28(s252)) | until27(s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s252, s253)) | (~xuntil28(s252)) | until27(s253))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29405,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s252, s253)) | (~xuntil28(s252)) | until27(s253))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29406,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s252, s253)) | (~xuntil28(s252)) | until27(s253)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 6.88/5.58 tff(29407,plain,
% 6.88/5.58 ((~xuntil28(s252)) | until27(s253)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29406, 20355, 15580])).
% 6.88/5.58 tff(29408,plain,
% 6.88/5.58 (until27(s253)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29407, 29403])).
% 6.88/5.58 tff(29409,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s253) | node26(s253) | (~until27(s253)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s253) | node26(s253) | (~until27(s253)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29410,plain,
% 6.88/5.58 ((node26(s253) | (~until27(s253)) | xuntil28(s253)) <=> (xuntil28(s253) | node26(s253) | (~until27(s253)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29411,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s253) | (~until27(s253)) | xuntil28(s253))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s253) | node26(s253) | (~until27(s253))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29410])).
% 6.88/5.58 tff(29412,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s253) | (~until27(s253)) | xuntil28(s253))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s253) | node26(s253) | (~until27(s253)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29411, 29409])).
% 6.88/5.58 tff(29413,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s253) | (~until27(s253)) | xuntil28(s253))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29414,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s253) | node26(s253) | (~until27(s253))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 6.88/5.58 tff(29415,plain,
% 6.88/5.58 (xuntil28(s253)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29414, 15561, 29408, 24160])).
% 6.88/5.58 tff(29416,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s253, s254)) | (~xuntil28(s253)) | until27(s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s253, s254)) | (~xuntil28(s253)) | until27(s254))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29417,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s253, s254)) | (~xuntil28(s253)) | until27(s254))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29418,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s253, s254)) | (~xuntil28(s253)) | until27(s254)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 6.88/5.58 tff(29419,plain,
% 6.88/5.58 ((~xuntil28(s253)) | until27(s254)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29418, 20422, 15580])).
% 6.88/5.58 tff(29420,plain,
% 6.88/5.58 (until27(s254)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29419, 29415])).
% 6.88/5.58 tff(29421,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s254) | node26(s254) | (~until27(s254)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s254) | node26(s254) | (~until27(s254)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29422,plain,
% 6.88/5.58 ((node26(s254) | (~until27(s254)) | xuntil28(s254)) <=> (xuntil28(s254) | node26(s254) | (~until27(s254)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29423,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s254) | (~until27(s254)) | xuntil28(s254))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s254) | node26(s254) | (~until27(s254))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29422])).
% 6.88/5.58 tff(29424,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s254) | (~until27(s254)) | xuntil28(s254))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s254) | node26(s254) | (~until27(s254)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29423, 29421])).
% 6.88/5.58 tff(29425,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s254) | (~until27(s254)) | xuntil28(s254))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29426,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s254) | node26(s254) | (~until27(s254))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 6.88/5.58 tff(29427,plain,
% 6.88/5.58 (xuntil28(s254) | node26(s254)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29426, 15561, 29420])).
% 6.88/5.58 tff(29428,plain,
% 6.88/5.58 (xuntil28(s254)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29427, 24156])).
% 6.88/5.58 tff(29429,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s254, s255)) | (~xuntil28(s254)) | until27(s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s254, s255)) | (~xuntil28(s254)) | until27(s255))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29430,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s254, s255)) | (~xuntil28(s254)) | until27(s255))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29431,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s254, s255)) | (~xuntil28(s254)) | until27(s255)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29430, 29429])).
% 6.88/5.58 tff(29432,plain,
% 6.88/5.58 ((~xuntil28(s254)) | until27(s255)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29431, 20521, 15580])).
% 6.88/5.58 tff(29433,plain,
% 6.88/5.58 (until27(s255)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29432, 29428])).
% 6.88/5.58 tff(29434,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s255) | node26(s255) | (~until27(s255)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s255) | node26(s255) | (~until27(s255)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29435,plain,
% 6.88/5.58 ((node26(s255) | (~until27(s255)) | xuntil28(s255)) <=> (xuntil28(s255) | node26(s255) | (~until27(s255)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29436,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s255) | (~until27(s255)) | xuntil28(s255))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s255) | node26(s255) | (~until27(s255))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29435])).
% 6.88/5.58 tff(29437,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s255) | (~until27(s255)) | xuntil28(s255))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s255) | node26(s255) | (~until27(s255)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29436, 29434])).
% 6.88/5.58 tff(29438,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s255) | (~until27(s255)) | xuntil28(s255))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29439,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s255) | node26(s255) | (~until27(s255))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 6.88/5.58 tff(29440,plain,
% 6.88/5.58 (xuntil28(s255)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29439, 15561, 29433, 24147])).
% 6.88/5.58 tff(29441,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s255, s256)) | (~xuntil28(s255)) | until27(s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s255, s256)) | (~xuntil28(s255)) | until27(s256))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29442,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s255, s256)) | (~xuntil28(s255)) | until27(s256))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29443,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s255, s256)) | (~xuntil28(s255)) | until27(s256)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 6.88/5.58 tff(29444,plain,
% 6.88/5.58 ((~xuntil28(s255)) | until27(s256)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29443, 20599, 15580])).
% 6.88/5.58 tff(29445,plain,
% 6.88/5.58 (until27(s256)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29444, 29440])).
% 6.88/5.58 tff(29446,plain,
% 6.88/5.58 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s256) | (~node26(s256)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s256) | (~node26(s256)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29447,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s256) | (~node26(s256)))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29448,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s256) | (~node26(s256))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 6.88/5.58 tff(29449,plain,
% 6.88/5.58 (~node26(s256)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29448, 15543, 24138])).
% 6.88/5.58 tff(29450,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s256) | node26(s256) | (~until27(s256)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s256) | node26(s256) | (~until27(s256)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29451,plain,
% 6.88/5.58 ((node26(s256) | (~until27(s256)) | xuntil28(s256)) <=> (xuntil28(s256) | node26(s256) | (~until27(s256)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29452,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s256) | (~until27(s256)) | xuntil28(s256))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s256) | node26(s256) | (~until27(s256))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29451])).
% 6.88/5.58 tff(29453,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s256) | (~until27(s256)) | xuntil28(s256))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s256) | node26(s256) | (~until27(s256)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29452, 29450])).
% 6.88/5.58 tff(29454,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s256) | (~until27(s256)) | xuntil28(s256))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29455,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s256) | node26(s256) | (~until27(s256))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29454, 29453])).
% 6.88/5.58 tff(29456,plain,
% 6.88/5.58 (xuntil28(s256) | (~until27(s256))),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29455, 15561, 29449])).
% 6.88/5.58 tff(29457,plain,
% 6.88/5.58 (xuntil28(s256)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29456, 29445])).
% 6.88/5.58 tff(29458,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s256, s257)) | (~xuntil28(s256)) | until27(s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s256, s257)) | (~xuntil28(s256)) | until27(s257))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29459,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s256, s257)) | (~xuntil28(s256)) | until27(s257))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29460,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s256, s257)) | (~xuntil28(s256)) | until27(s257)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 6.88/5.58 tff(29461,plain,
% 6.88/5.58 ((~xuntil28(s256)) | until27(s257)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29460, 20660, 15580])).
% 6.88/5.58 tff(29462,plain,
% 6.88/5.58 (until27(s257)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29461, 29457])).
% 6.88/5.58 tff(29463,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s257) | node26(s257) | (~until27(s257)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s257) | node26(s257) | (~until27(s257)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29464,plain,
% 6.88/5.58 ((node26(s257) | (~until27(s257)) | xuntil28(s257)) <=> (xuntil28(s257) | node26(s257) | (~until27(s257)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29465,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s257) | (~until27(s257)) | xuntil28(s257))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s257) | node26(s257) | (~until27(s257))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29464])).
% 6.88/5.58 tff(29466,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s257) | (~until27(s257)) | xuntil28(s257))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s257) | node26(s257) | (~until27(s257)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29465, 29463])).
% 6.88/5.58 tff(29467,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s257) | (~until27(s257)) | xuntil28(s257))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29468,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s257) | node26(s257) | (~until27(s257))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29467, 29466])).
% 6.88/5.58 tff(29469,plain,
% 6.88/5.58 (xuntil28(s257)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29468, 15561, 29462, 24131])).
% 6.88/5.58 tff(29470,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s257, s258)) | (~xuntil28(s257)) | until27(s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s257, s258)) | (~xuntil28(s257)) | until27(s258))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29471,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s257, s258)) | (~xuntil28(s257)) | until27(s258))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29472,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s257, s258)) | (~xuntil28(s257)) | until27(s258)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 6.88/5.58 tff(29473,plain,
% 6.88/5.58 ((~xuntil28(s257)) | until27(s258)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29472, 20755, 15580])).
% 6.88/5.58 tff(29474,plain,
% 6.88/5.58 (until27(s258)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29473, 29469])).
% 6.88/5.58 tff(29475,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s258) | node26(s258) | (~until27(s258)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s258) | node26(s258) | (~until27(s258)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29476,plain,
% 6.88/5.58 ((node26(s258) | (~until27(s258)) | xuntil28(s258)) <=> (xuntil28(s258) | node26(s258) | (~until27(s258)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29477,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s258) | (~until27(s258)) | xuntil28(s258))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s258) | node26(s258) | (~until27(s258))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29476])).
% 6.88/5.58 tff(29478,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s258) | (~until27(s258)) | xuntil28(s258))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s258) | node26(s258) | (~until27(s258)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29477, 29475])).
% 6.88/5.58 tff(29479,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s258) | (~until27(s258)) | xuntil28(s258))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29480,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s258) | node26(s258) | (~until27(s258))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29479, 29478])).
% 6.88/5.58 tff(29481,plain,
% 6.88/5.58 (xuntil28(s258) | node26(s258)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29480, 15561, 29474])).
% 6.88/5.58 tff(29482,plain,
% 6.88/5.58 (xuntil28(s258)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29481, 24127])).
% 6.88/5.58 tff(29483,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s258, s259)) | (~xuntil28(s258)) | until27(s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s258, s259)) | (~xuntil28(s258)) | until27(s259))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29484,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s258, s259)) | (~xuntil28(s258)) | until27(s259))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29485,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s258, s259)) | (~xuntil28(s258)) | until27(s259)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 6.88/5.58 tff(29486,plain,
% 6.88/5.58 ((~xuntil28(s258)) | until27(s259)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29485, 20819, 15580])).
% 6.88/5.58 tff(29487,plain,
% 6.88/5.58 (until27(s259)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29486, 29482])).
% 6.88/5.58 tff(29488,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s259) | node26(s259) | (~until27(s259)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s259) | node26(s259) | (~until27(s259)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29489,plain,
% 6.88/5.58 ((node26(s259) | (~until27(s259)) | xuntil28(s259)) <=> (xuntil28(s259) | node26(s259) | (~until27(s259)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29490,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s259) | (~until27(s259)) | xuntil28(s259))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s259) | node26(s259) | (~until27(s259))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29489])).
% 6.88/5.58 tff(29491,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s259) | (~until27(s259)) | xuntil28(s259))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s259) | node26(s259) | (~until27(s259)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29490, 29488])).
% 6.88/5.58 tff(29492,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s259) | (~until27(s259)) | xuntil28(s259))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29493,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s259) | node26(s259) | (~until27(s259))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 6.88/5.58 tff(29494,plain,
% 6.88/5.58 (xuntil28(s259)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29493, 15561, 29487, 24118])).
% 6.88/5.58 tff(29495,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s259, s260)) | (~xuntil28(s259)) | until27(s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s259, s260)) | (~xuntil28(s259)) | until27(s260))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29496,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s259, s260)) | (~xuntil28(s259)) | until27(s260))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29497,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s259, s260)) | (~xuntil28(s259)) | until27(s260)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 6.88/5.58 tff(29498,plain,
% 6.88/5.58 ((~xuntil28(s259)) | until27(s260)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29497, 20894, 15580])).
% 6.88/5.58 tff(29499,plain,
% 6.88/5.58 (until27(s260)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29498, 29494])).
% 6.88/5.58 tff(29500,plain,
% 6.88/5.58 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s260) | (~node26(s260)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s260) | (~node26(s260)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29501,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s260) | (~node26(s260)))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29502,plain,
% 6.88/5.58 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s260) | (~node26(s260))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 6.88/5.58 tff(29503,plain,
% 6.88/5.58 (~node26(s260)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29502, 15543, 24109])).
% 6.88/5.58 tff(29504,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s260) | node26(s260) | (~until27(s260)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s260) | node26(s260) | (~until27(s260)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29505,plain,
% 6.88/5.58 ((node26(s260) | (~until27(s260)) | xuntil28(s260)) <=> (xuntil28(s260) | node26(s260) | (~until27(s260)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29506,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s260) | (~until27(s260)) | xuntil28(s260))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s260) | node26(s260) | (~until27(s260))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29505])).
% 6.88/5.58 tff(29507,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s260) | (~until27(s260)) | xuntil28(s260))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s260) | node26(s260) | (~until27(s260)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29506, 29504])).
% 6.88/5.58 tff(29508,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s260) | (~until27(s260)) | xuntil28(s260))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29509,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s260) | node26(s260) | (~until27(s260))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 6.88/5.58 tff(29510,plain,
% 6.88/5.58 (xuntil28(s260) | (~until27(s260))),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29509, 15561, 29503])).
% 6.88/5.58 tff(29511,plain,
% 6.88/5.58 (xuntil28(s260)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29510, 29499])).
% 6.88/5.58 tff(29512,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s260, s261)) | (~xuntil28(s260)) | until27(s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s260, s261)) | (~xuntil28(s260)) | until27(s261))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29513,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s260, s261)) | (~xuntil28(s260)) | until27(s261))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29514,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s260, s261)) | (~xuntil28(s260)) | until27(s261)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 6.88/5.58 tff(29515,plain,
% 6.88/5.58 ((~xuntil28(s260)) | until27(s261)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29514, 20983, 15580])).
% 6.88/5.58 tff(29516,plain,
% 6.88/5.58 (until27(s261)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29515, 29511])).
% 6.88/5.58 tff(29517,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s261) | node26(s261) | (~until27(s261)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s261) | node26(s261) | (~until27(s261)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29518,plain,
% 6.88/5.58 ((node26(s261) | (~until27(s261)) | xuntil28(s261)) <=> (xuntil28(s261) | node26(s261) | (~until27(s261)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29519,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s261) | (~until27(s261)) | xuntil28(s261))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s261) | node26(s261) | (~until27(s261))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29518])).
% 6.88/5.58 tff(29520,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s261) | (~until27(s261)) | xuntil28(s261))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s261) | node26(s261) | (~until27(s261)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29519, 29517])).
% 6.88/5.58 tff(29521,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s261) | (~until27(s261)) | xuntil28(s261))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29522,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s261) | node26(s261) | (~until27(s261))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29521, 29520])).
% 6.88/5.58 tff(29523,plain,
% 6.88/5.58 (xuntil28(s261)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29522, 15561, 29516, 24102])).
% 6.88/5.58 tff(29524,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s261, s262)) | (~xuntil28(s261)) | until27(s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s261, s262)) | (~xuntil28(s261)) | until27(s262))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29525,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s261, s262)) | (~xuntil28(s261)) | until27(s262))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29526,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s261, s262)) | (~xuntil28(s261)) | until27(s262)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29525, 29524])).
% 6.88/5.58 tff(29527,plain,
% 6.88/5.58 ((~xuntil28(s261)) | until27(s262)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29526, 21050, 15580])).
% 6.88/5.58 tff(29528,plain,
% 6.88/5.58 (until27(s262)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29527, 29523])).
% 6.88/5.58 tff(29529,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s262) | node26(s262) | (~until27(s262)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s262) | node26(s262) | (~until27(s262)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29530,plain,
% 6.88/5.58 ((node26(s262) | (~until27(s262)) | xuntil28(s262)) <=> (xuntil28(s262) | node26(s262) | (~until27(s262)))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29531,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s262) | (~until27(s262)) | xuntil28(s262))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s262) | node26(s262) | (~until27(s262))))),
% 6.88/5.58 inference(monotonicity,[status(thm)],[29530])).
% 6.88/5.58 tff(29532,plain,
% 6.88/5.58 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s262) | (~until27(s262)) | xuntil28(s262))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s262) | node26(s262) | (~until27(s262)))),
% 6.88/5.58 inference(transitivity,[status(thm)],[29531, 29529])).
% 6.88/5.58 tff(29533,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s262) | (~until27(s262)) | xuntil28(s262))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29534,plain,
% 6.88/5.58 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s262) | node26(s262) | (~until27(s262))),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29533, 29532])).
% 6.88/5.58 tff(29535,plain,
% 6.88/5.58 (xuntil28(s262) | node26(s262)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29534, 15561, 29528])).
% 6.88/5.58 tff(29536,plain,
% 6.88/5.58 (xuntil28(s262)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29535, 24098])).
% 6.88/5.58 tff(29537,plain,
% 6.88/5.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s262, s263)) | (~xuntil28(s262)) | until27(s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s262, s263)) | (~xuntil28(s262)) | until27(s263))),
% 6.88/5.58 inference(rewrite,[status(thm)],[])).
% 6.88/5.58 tff(29538,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s262, s263)) | (~xuntil28(s262)) | until27(s263))),
% 6.88/5.58 inference(quant_inst,[status(thm)],[])).
% 6.88/5.58 tff(29539,plain,
% 6.88/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s262, s263)) | (~xuntil28(s262)) | until27(s263)),
% 6.88/5.58 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 6.88/5.58 tff(29540,plain,
% 6.88/5.58 ((~xuntil28(s262)) | until27(s263)),
% 6.88/5.58 inference(unit_resolution,[status(thm)],[29539, 21149, 15580])).
% 6.88/5.58 tff(29541,plain,
% 6.88/5.59 (until27(s263)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29540, 29536])).
% 6.88/5.59 tff(29542,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s263) | node26(s263) | (~until27(s263)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s263) | node26(s263) | (~until27(s263)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29543,plain,
% 6.88/5.59 ((node26(s263) | (~until27(s263)) | xuntil28(s263)) <=> (xuntil28(s263) | node26(s263) | (~until27(s263)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29544,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s263) | (~until27(s263)) | xuntil28(s263))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s263) | node26(s263) | (~until27(s263))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29543])).
% 6.88/5.59 tff(29545,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s263) | (~until27(s263)) | xuntil28(s263))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s263) | node26(s263) | (~until27(s263)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29544, 29542])).
% 6.88/5.59 tff(29546,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s263) | (~until27(s263)) | xuntil28(s263))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29547,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s263) | node26(s263) | (~until27(s263))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29546, 29545])).
% 6.88/5.59 tff(29548,plain,
% 6.88/5.59 (xuntil28(s263)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29547, 15561, 29541, 24089])).
% 6.88/5.59 tff(29549,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s263, s264)) | (~xuntil28(s263)) | until27(s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s263, s264)) | (~xuntil28(s263)) | until27(s264))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29550,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s263, s264)) | (~xuntil28(s263)) | until27(s264))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29551,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s263, s264)) | (~xuntil28(s263)) | until27(s264)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29550, 29549])).
% 6.88/5.59 tff(29552,plain,
% 6.88/5.59 ((~xuntil28(s263)) | until27(s264)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29551, 21227, 15580])).
% 6.88/5.59 tff(29553,plain,
% 6.88/5.59 (until27(s264)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29552, 29548])).
% 6.88/5.59 tff(29554,plain,
% 6.88/5.59 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s264) | (~node26(s264)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s264) | (~node26(s264)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29555,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s264) | (~node26(s264)))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29556,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s264) | (~node26(s264))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 6.88/5.59 tff(29557,plain,
% 6.88/5.59 (~node26(s264)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29556, 15543, 24080])).
% 6.88/5.59 tff(29558,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s264) | node26(s264) | (~until27(s264)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s264) | node26(s264) | (~until27(s264)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29559,plain,
% 6.88/5.59 ((node26(s264) | (~until27(s264)) | xuntil28(s264)) <=> (xuntil28(s264) | node26(s264) | (~until27(s264)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29560,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s264) | (~until27(s264)) | xuntil28(s264))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s264) | node26(s264) | (~until27(s264))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29559])).
% 6.88/5.59 tff(29561,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s264) | (~until27(s264)) | xuntil28(s264))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s264) | node26(s264) | (~until27(s264)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29560, 29558])).
% 6.88/5.59 tff(29562,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s264) | (~until27(s264)) | xuntil28(s264))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29563,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s264) | node26(s264) | (~until27(s264))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29562, 29561])).
% 6.88/5.59 tff(29564,plain,
% 6.88/5.59 (xuntil28(s264) | (~until27(s264))),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29563, 15561, 29557])).
% 6.88/5.59 tff(29565,plain,
% 6.88/5.59 (xuntil28(s264)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29564, 29553])).
% 6.88/5.59 tff(29566,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s264, s265)) | (~xuntil28(s264)) | until27(s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s264, s265)) | (~xuntil28(s264)) | until27(s265))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29567,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s264, s265)) | (~xuntil28(s264)) | until27(s265))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29568,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s264, s265)) | (~xuntil28(s264)) | until27(s265)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 6.88/5.59 tff(29569,plain,
% 6.88/5.59 ((~xuntil28(s264)) | until27(s265)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29568, 21288, 15580])).
% 6.88/5.59 tff(29570,plain,
% 6.88/5.59 (until27(s265)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29569, 29565])).
% 6.88/5.59 tff(29571,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s265) | node26(s265) | (~until27(s265)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s265) | node26(s265) | (~until27(s265)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29572,plain,
% 6.88/5.59 ((node26(s265) | (~until27(s265)) | xuntil28(s265)) <=> (xuntil28(s265) | node26(s265) | (~until27(s265)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29573,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s265) | (~until27(s265)) | xuntil28(s265))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s265) | node26(s265) | (~until27(s265))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29572])).
% 6.88/5.59 tff(29574,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s265) | (~until27(s265)) | xuntil28(s265))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s265) | node26(s265) | (~until27(s265)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29573, 29571])).
% 6.88/5.59 tff(29575,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s265) | (~until27(s265)) | xuntil28(s265))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29576,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s265) | node26(s265) | (~until27(s265))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29575, 29574])).
% 6.88/5.59 tff(29577,plain,
% 6.88/5.59 (xuntil28(s265)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29576, 15561, 29570, 24073])).
% 6.88/5.59 tff(29578,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s265, s266)) | (~xuntil28(s265)) | until27(s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s265, s266)) | (~xuntil28(s265)) | until27(s266))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29579,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s265, s266)) | (~xuntil28(s265)) | until27(s266))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29580,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s265, s266)) | (~xuntil28(s265)) | until27(s266)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29579, 29578])).
% 6.88/5.59 tff(29581,plain,
% 6.88/5.59 ((~xuntil28(s265)) | until27(s266)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29580, 21383, 15580])).
% 6.88/5.59 tff(29582,plain,
% 6.88/5.59 (until27(s266)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29581, 29577])).
% 6.88/5.59 tff(29583,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s266) | node26(s266) | (~until27(s266)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s266) | node26(s266) | (~until27(s266)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29584,plain,
% 6.88/5.59 ((node26(s266) | (~until27(s266)) | xuntil28(s266)) <=> (xuntil28(s266) | node26(s266) | (~until27(s266)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29585,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s266) | (~until27(s266)) | xuntil28(s266))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s266) | node26(s266) | (~until27(s266))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29584])).
% 6.88/5.59 tff(29586,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s266) | (~until27(s266)) | xuntil28(s266))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s266) | node26(s266) | (~until27(s266)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29585, 29583])).
% 6.88/5.59 tff(29587,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s266) | (~until27(s266)) | xuntil28(s266))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29588,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s266) | node26(s266) | (~until27(s266))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29587, 29586])).
% 6.88/5.59 tff(29589,plain,
% 6.88/5.59 (xuntil28(s266) | node26(s266)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29588, 15561, 29582])).
% 6.88/5.59 tff(29590,plain,
% 6.88/5.59 (xuntil28(s266)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29589, 24069])).
% 6.88/5.59 tff(29591,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s266, s267)) | (~xuntil28(s266)) | until27(s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s266, s267)) | (~xuntil28(s266)) | until27(s267))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29592,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s266, s267)) | (~xuntil28(s266)) | until27(s267))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29593,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s266, s267)) | (~xuntil28(s266)) | until27(s267)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29592, 29591])).
% 6.88/5.59 tff(29594,plain,
% 6.88/5.59 ((~xuntil28(s266)) | until27(s267)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29593, 21447, 15580])).
% 6.88/5.59 tff(29595,plain,
% 6.88/5.59 (until27(s267)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29594, 29590])).
% 6.88/5.59 tff(29596,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s267) | node26(s267) | (~until27(s267)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s267) | node26(s267) | (~until27(s267)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29597,plain,
% 6.88/5.59 ((node26(s267) | (~until27(s267)) | xuntil28(s267)) <=> (xuntil28(s267) | node26(s267) | (~until27(s267)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29598,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s267) | (~until27(s267)) | xuntil28(s267))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s267) | node26(s267) | (~until27(s267))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29597])).
% 6.88/5.59 tff(29599,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s267) | (~until27(s267)) | xuntil28(s267))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s267) | node26(s267) | (~until27(s267)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29598, 29596])).
% 6.88/5.59 tff(29600,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s267) | (~until27(s267)) | xuntil28(s267))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29601,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s267) | node26(s267) | (~until27(s267))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 6.88/5.59 tff(29602,plain,
% 6.88/5.59 (xuntil28(s267)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29601, 15561, 29595, 24060])).
% 6.88/5.59 tff(29603,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s267, s268)) | (~xuntil28(s267)) | until27(s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s267, s268)) | (~xuntil28(s267)) | until27(s268))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29604,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s267, s268)) | (~xuntil28(s267)) | until27(s268))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29605,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s267, s268)) | (~xuntil28(s267)) | until27(s268)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29604, 29603])).
% 6.88/5.59 tff(29606,plain,
% 6.88/5.59 ((~xuntil28(s267)) | until27(s268)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29605, 21522, 15580])).
% 6.88/5.59 tff(29607,plain,
% 6.88/5.59 (until27(s268)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29606, 29602])).
% 6.88/5.59 tff(29608,plain,
% 6.88/5.59 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s268) | (~node26(s268)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s268) | (~node26(s268)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29609,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s268) | (~node26(s268)))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29610,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s268) | (~node26(s268))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 6.88/5.59 tff(29611,plain,
% 6.88/5.59 (~node26(s268)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29610, 15543, 24051])).
% 6.88/5.59 tff(29612,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s268) | node26(s268) | (~until27(s268)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s268) | node26(s268) | (~until27(s268)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29613,plain,
% 6.88/5.59 ((node26(s268) | (~until27(s268)) | xuntil28(s268)) <=> (xuntil28(s268) | node26(s268) | (~until27(s268)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29614,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s268) | (~until27(s268)) | xuntil28(s268))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s268) | node26(s268) | (~until27(s268))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29613])).
% 6.88/5.59 tff(29615,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s268) | (~until27(s268)) | xuntil28(s268))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s268) | node26(s268) | (~until27(s268)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29614, 29612])).
% 6.88/5.59 tff(29616,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s268) | (~until27(s268)) | xuntil28(s268))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29617,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s268) | node26(s268) | (~until27(s268))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 6.88/5.59 tff(29618,plain,
% 6.88/5.59 (xuntil28(s268) | (~until27(s268))),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29617, 15561, 29611])).
% 6.88/5.59 tff(29619,plain,
% 6.88/5.59 (xuntil28(s268)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29618, 29607])).
% 6.88/5.59 tff(29620,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s268, s269)) | (~xuntil28(s268)) | until27(s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s268, s269)) | (~xuntil28(s268)) | until27(s269))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29621,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s268, s269)) | (~xuntil28(s268)) | until27(s269))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29622,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s268, s269)) | (~xuntil28(s268)) | until27(s269)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 6.88/5.59 tff(29623,plain,
% 6.88/5.59 ((~xuntil28(s268)) | until27(s269)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29622, 21611, 15580])).
% 6.88/5.59 tff(29624,plain,
% 6.88/5.59 (until27(s269)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29623, 29619])).
% 6.88/5.59 tff(29625,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s269) | node26(s269) | (~until27(s269)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s269) | node26(s269) | (~until27(s269)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29626,plain,
% 6.88/5.59 ((node26(s269) | (~until27(s269)) | xuntil28(s269)) <=> (xuntil28(s269) | node26(s269) | (~until27(s269)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29627,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s269) | (~until27(s269)) | xuntil28(s269))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s269) | node26(s269) | (~until27(s269))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29626])).
% 6.88/5.59 tff(29628,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s269) | (~until27(s269)) | xuntil28(s269))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s269) | node26(s269) | (~until27(s269)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29627, 29625])).
% 6.88/5.59 tff(29629,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s269) | (~until27(s269)) | xuntil28(s269))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29630,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s269) | node26(s269) | (~until27(s269))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29629, 29628])).
% 6.88/5.59 tff(29631,plain,
% 6.88/5.59 (xuntil28(s269)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29630, 15561, 29624, 24044])).
% 6.88/5.59 tff(29632,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s269, s270)) | (~xuntil28(s269)) | until27(s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s269, s270)) | (~xuntil28(s269)) | until27(s270))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29633,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s269, s270)) | (~xuntil28(s269)) | until27(s270))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29634,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s269, s270)) | (~xuntil28(s269)) | until27(s270)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 6.88/5.59 tff(29635,plain,
% 6.88/5.59 ((~xuntil28(s269)) | until27(s270)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29634, 21678, 15580])).
% 6.88/5.59 tff(29636,plain,
% 6.88/5.59 (until27(s270)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29635, 29631])).
% 6.88/5.59 tff(29637,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s270) | node26(s270) | (~until27(s270)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s270) | node26(s270) | (~until27(s270)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29638,plain,
% 6.88/5.59 ((node26(s270) | (~until27(s270)) | xuntil28(s270)) <=> (xuntil28(s270) | node26(s270) | (~until27(s270)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29639,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s270) | (~until27(s270)) | xuntil28(s270))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s270) | node26(s270) | (~until27(s270))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29638])).
% 6.88/5.59 tff(29640,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s270) | (~until27(s270)) | xuntil28(s270))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s270) | node26(s270) | (~until27(s270)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29639, 29637])).
% 6.88/5.59 tff(29641,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s270) | (~until27(s270)) | xuntil28(s270))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29642,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s270) | node26(s270) | (~until27(s270))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29641, 29640])).
% 6.88/5.59 tff(29643,plain,
% 6.88/5.59 (xuntil28(s270) | node26(s270)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29642, 15561, 29636])).
% 6.88/5.59 tff(29644,plain,
% 6.88/5.59 (xuntil28(s270)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29643, 24040])).
% 6.88/5.59 tff(29645,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s270, s271)) | (~xuntil28(s270)) | until27(s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s270, s271)) | (~xuntil28(s270)) | until27(s271))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29646,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s270, s271)) | (~xuntil28(s270)) | until27(s271))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29647,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s270, s271)) | (~xuntil28(s270)) | until27(s271)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 6.88/5.59 tff(29648,plain,
% 6.88/5.59 ((~xuntil28(s270)) | until27(s271)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29647, 21777, 15580])).
% 6.88/5.59 tff(29649,plain,
% 6.88/5.59 (until27(s271)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29648, 29644])).
% 6.88/5.59 tff(29650,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s271) | node26(s271) | (~until27(s271)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s271) | node26(s271) | (~until27(s271)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29651,plain,
% 6.88/5.59 ((node26(s271) | (~until27(s271)) | xuntil28(s271)) <=> (xuntil28(s271) | node26(s271) | (~until27(s271)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29652,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s271) | (~until27(s271)) | xuntil28(s271))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s271) | node26(s271) | (~until27(s271))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29651])).
% 6.88/5.59 tff(29653,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s271) | (~until27(s271)) | xuntil28(s271))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s271) | node26(s271) | (~until27(s271)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29652, 29650])).
% 6.88/5.59 tff(29654,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s271) | (~until27(s271)) | xuntil28(s271))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29655,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s271) | node26(s271) | (~until27(s271))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29654, 29653])).
% 6.88/5.59 tff(29656,plain,
% 6.88/5.59 (xuntil28(s271)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29655, 15561, 29649, 24031])).
% 6.88/5.59 tff(29657,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s271, s272)) | (~xuntil28(s271)) | until27(s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s271, s272)) | (~xuntil28(s271)) | until27(s272))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29658,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s271, s272)) | (~xuntil28(s271)) | until27(s272))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29659,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s271, s272)) | (~xuntil28(s271)) | until27(s272)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29658, 29657])).
% 6.88/5.59 tff(29660,plain,
% 6.88/5.59 ((~xuntil28(s271)) | until27(s272)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29659, 21855, 15580])).
% 6.88/5.59 tff(29661,plain,
% 6.88/5.59 (until27(s272)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29660, 29656])).
% 6.88/5.59 tff(29662,plain,
% 6.88/5.59 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s272) | (~node26(s272)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s272) | (~node26(s272)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29663,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s272) | (~node26(s272)))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29664,plain,
% 6.88/5.59 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s272) | (~node26(s272))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29663, 29662])).
% 6.88/5.59 tff(29665,plain,
% 6.88/5.59 (~node26(s272)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29664, 15543, 24022])).
% 6.88/5.59 tff(29666,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s272) | node26(s272) | (~until27(s272)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s272) | node26(s272) | (~until27(s272)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29667,plain,
% 6.88/5.59 ((node26(s272) | (~until27(s272)) | xuntil28(s272)) <=> (xuntil28(s272) | node26(s272) | (~until27(s272)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29668,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s272) | (~until27(s272)) | xuntil28(s272))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s272) | node26(s272) | (~until27(s272))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29667])).
% 6.88/5.59 tff(29669,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s272) | (~until27(s272)) | xuntil28(s272))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s272) | node26(s272) | (~until27(s272)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29668, 29666])).
% 6.88/5.59 tff(29670,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s272) | (~until27(s272)) | xuntil28(s272))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29671,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s272) | node26(s272) | (~until27(s272))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 6.88/5.59 tff(29672,plain,
% 6.88/5.59 (xuntil28(s272) | (~until27(s272))),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29671, 15561, 29665])).
% 6.88/5.59 tff(29673,plain,
% 6.88/5.59 (xuntil28(s272)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29672, 29661])).
% 6.88/5.59 tff(29674,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s272, s273)) | (~xuntil28(s272)) | until27(s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s272, s273)) | (~xuntil28(s272)) | until27(s273))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29675,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s272, s273)) | (~xuntil28(s272)) | until27(s273))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29676,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s272, s273)) | (~xuntil28(s272)) | until27(s273)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 6.88/5.59 tff(29677,plain,
% 6.88/5.59 ((~xuntil28(s272)) | until27(s273)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29676, 21916, 15580])).
% 6.88/5.59 tff(29678,plain,
% 6.88/5.59 (until27(s273)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29677, 29673])).
% 6.88/5.59 tff(29679,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s273) | node26(s273) | (~until27(s273)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s273) | node26(s273) | (~until27(s273)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29680,plain,
% 6.88/5.59 ((node26(s273) | (~until27(s273)) | xuntil28(s273)) <=> (xuntil28(s273) | node26(s273) | (~until27(s273)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29681,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s273) | (~until27(s273)) | xuntil28(s273))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s273) | node26(s273) | (~until27(s273))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29680])).
% 6.88/5.59 tff(29682,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s273) | (~until27(s273)) | xuntil28(s273))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s273) | node26(s273) | (~until27(s273)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29681, 29679])).
% 6.88/5.59 tff(29683,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s273) | (~until27(s273)) | xuntil28(s273))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29684,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s273) | node26(s273) | (~until27(s273))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 6.88/5.59 tff(29685,plain,
% 6.88/5.59 (xuntil28(s273)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29684, 15561, 29678, 24015])).
% 6.88/5.59 tff(29686,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s273, s274)) | (~xuntil28(s273)) | until27(s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s273, s274)) | (~xuntil28(s273)) | until27(s274))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29687,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s273, s274)) | (~xuntil28(s273)) | until27(s274))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29688,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s273, s274)) | (~xuntil28(s273)) | until27(s274)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29687, 29686])).
% 6.88/5.59 tff(29689,plain,
% 6.88/5.59 ((~xuntil28(s273)) | until27(s274)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29688, 22011, 15580])).
% 6.88/5.59 tff(29690,plain,
% 6.88/5.59 (until27(s274)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29689, 29685])).
% 6.88/5.59 tff(29691,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s274) | node26(s274) | (~until27(s274)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s274) | node26(s274) | (~until27(s274)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29692,plain,
% 6.88/5.59 ((node26(s274) | (~until27(s274)) | xuntil28(s274)) <=> (xuntil28(s274) | node26(s274) | (~until27(s274)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29693,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s274) | (~until27(s274)) | xuntil28(s274))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s274) | node26(s274) | (~until27(s274))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29692])).
% 6.88/5.59 tff(29694,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s274) | (~until27(s274)) | xuntil28(s274))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s274) | node26(s274) | (~until27(s274)))),
% 6.88/5.59 inference(transitivity,[status(thm)],[29693, 29691])).
% 6.88/5.59 tff(29695,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s274) | (~until27(s274)) | xuntil28(s274))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29696,plain,
% 6.88/5.59 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s274) | node26(s274) | (~until27(s274))),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 6.88/5.59 tff(29697,plain,
% 6.88/5.59 (xuntil28(s274) | node26(s274)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29696, 15561, 29690])).
% 6.88/5.59 tff(29698,plain,
% 6.88/5.59 (xuntil28(s274)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29697, 24011])).
% 6.88/5.59 tff(29699,plain,
% 6.88/5.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s274, s275)) | (~xuntil28(s274)) | until27(s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s274, s275)) | (~xuntil28(s274)) | until27(s275))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29700,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s274, s275)) | (~xuntil28(s274)) | until27(s275))),
% 6.88/5.59 inference(quant_inst,[status(thm)],[])).
% 6.88/5.59 tff(29701,plain,
% 6.88/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s274, s275)) | (~xuntil28(s274)) | until27(s275)),
% 6.88/5.59 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 6.88/5.59 tff(29702,plain,
% 6.88/5.59 ((~xuntil28(s274)) | until27(s275)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29701, 22075, 15580])).
% 6.88/5.59 tff(29703,plain,
% 6.88/5.59 (until27(s275)),
% 6.88/5.59 inference(unit_resolution,[status(thm)],[29702, 29698])).
% 6.88/5.59 tff(29704,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s275) | node26(s275) | (~until27(s275)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s275) | node26(s275) | (~until27(s275)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29705,plain,
% 6.88/5.59 ((node26(s275) | (~until27(s275)) | xuntil28(s275)) <=> (xuntil28(s275) | node26(s275) | (~until27(s275)))),
% 6.88/5.59 inference(rewrite,[status(thm)],[])).
% 6.88/5.59 tff(29706,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s275) | (~until27(s275)) | xuntil28(s275))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s275) | node26(s275) | (~until27(s275))))),
% 6.88/5.59 inference(monotonicity,[status(thm)],[29705])).
% 6.88/5.59 tff(29707,plain,
% 6.88/5.59 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s275) | (~until27(s275)) | xuntil28(s275))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s275) | node26(s275) | (~until27(s275)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29706, 29704])).
% 6.88/5.60 tff(29708,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s275) | (~until27(s275)) | xuntil28(s275))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29709,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s275) | node26(s275) | (~until27(s275))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 6.88/5.60 tff(29710,plain,
% 6.88/5.60 (xuntil28(s275)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29709, 15561, 29703, 24002])).
% 6.88/5.60 tff(29711,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s275, s276)) | (~xuntil28(s275)) | until27(s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s275, s276)) | (~xuntil28(s275)) | until27(s276))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29712,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s275, s276)) | (~xuntil28(s275)) | until27(s276))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29713,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s275, s276)) | (~xuntil28(s275)) | until27(s276)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 6.88/5.60 tff(29714,plain,
% 6.88/5.60 ((~xuntil28(s275)) | until27(s276)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29713, 22150, 15580])).
% 6.88/5.60 tff(29715,plain,
% 6.88/5.60 (until27(s276)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29714, 29710])).
% 6.88/5.60 tff(29716,plain,
% 6.88/5.60 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s276) | (~node26(s276)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s276) | (~node26(s276)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29717,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s276) | (~node26(s276)))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29718,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s276) | (~node26(s276))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 6.88/5.60 tff(29719,plain,
% 6.88/5.60 (~node26(s276)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29718, 15543, 23993])).
% 6.88/5.60 tff(29720,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s276) | node26(s276) | (~until27(s276)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s276) | node26(s276) | (~until27(s276)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29721,plain,
% 6.88/5.60 ((node26(s276) | (~until27(s276)) | xuntil28(s276)) <=> (xuntil28(s276) | node26(s276) | (~until27(s276)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29722,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s276) | (~until27(s276)) | xuntil28(s276))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s276) | node26(s276) | (~until27(s276))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29721])).
% 6.88/5.60 tff(29723,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s276) | (~until27(s276)) | xuntil28(s276))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s276) | node26(s276) | (~until27(s276)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29722, 29720])).
% 6.88/5.60 tff(29724,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s276) | (~until27(s276)) | xuntil28(s276))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29725,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s276) | node26(s276) | (~until27(s276))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29724, 29723])).
% 6.88/5.60 tff(29726,plain,
% 6.88/5.60 (xuntil28(s276) | (~until27(s276))),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29725, 15561, 29719])).
% 6.88/5.60 tff(29727,plain,
% 6.88/5.60 (xuntil28(s276)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29726, 29715])).
% 6.88/5.60 tff(29728,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s276, s277)) | (~xuntil28(s276)) | until27(s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s276, s277)) | (~xuntil28(s276)) | until27(s277))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29729,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s276, s277)) | (~xuntil28(s276)) | until27(s277))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29730,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s276, s277)) | (~xuntil28(s276)) | until27(s277)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 6.88/5.60 tff(29731,plain,
% 6.88/5.60 ((~xuntil28(s276)) | until27(s277)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29730, 22239, 15580])).
% 6.88/5.60 tff(29732,plain,
% 6.88/5.60 (until27(s277)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29731, 29727])).
% 6.88/5.60 tff(29733,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s277) | node26(s277) | (~until27(s277)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s277) | node26(s277) | (~until27(s277)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29734,plain,
% 6.88/5.60 ((node26(s277) | (~until27(s277)) | xuntil28(s277)) <=> (xuntil28(s277) | node26(s277) | (~until27(s277)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29735,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s277) | (~until27(s277)) | xuntil28(s277))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s277) | node26(s277) | (~until27(s277))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29734])).
% 6.88/5.60 tff(29736,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s277) | (~until27(s277)) | xuntil28(s277))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s277) | node26(s277) | (~until27(s277)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29735, 29733])).
% 6.88/5.60 tff(29737,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s277) | (~until27(s277)) | xuntil28(s277))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29738,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s277) | node26(s277) | (~until27(s277))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29737, 29736])).
% 6.88/5.60 tff(29739,plain,
% 6.88/5.60 (xuntil28(s277)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29738, 15561, 29732, 23986])).
% 6.88/5.60 tff(29740,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s277, s278)) | (~xuntil28(s277)) | until27(s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s277, s278)) | (~xuntil28(s277)) | until27(s278))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29741,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s277, s278)) | (~xuntil28(s277)) | until27(s278))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29742,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s277, s278)) | (~xuntil28(s277)) | until27(s278)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29741, 29740])).
% 6.88/5.60 tff(29743,plain,
% 6.88/5.60 ((~xuntil28(s277)) | until27(s278)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29742, 22306, 15580])).
% 6.88/5.60 tff(29744,plain,
% 6.88/5.60 (until27(s278)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29743, 29739])).
% 6.88/5.60 tff(29745,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s278) | node26(s278) | (~until27(s278)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s278) | node26(s278) | (~until27(s278)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29746,plain,
% 6.88/5.60 ((node26(s278) | (~until27(s278)) | xuntil28(s278)) <=> (xuntil28(s278) | node26(s278) | (~until27(s278)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29747,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s278) | (~until27(s278)) | xuntil28(s278))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s278) | node26(s278) | (~until27(s278))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29746])).
% 6.88/5.60 tff(29748,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s278) | (~until27(s278)) | xuntil28(s278))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s278) | node26(s278) | (~until27(s278)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29747, 29745])).
% 6.88/5.60 tff(29749,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s278) | (~until27(s278)) | xuntil28(s278))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29750,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s278) | node26(s278) | (~until27(s278))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29749, 29748])).
% 6.88/5.60 tff(29751,plain,
% 6.88/5.60 (xuntil28(s278) | node26(s278)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29750, 15561, 29744])).
% 6.88/5.60 tff(29752,plain,
% 6.88/5.60 (xuntil28(s278)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29751, 23982])).
% 6.88/5.60 tff(29753,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s278, s279)) | (~xuntil28(s278)) | until27(s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s278, s279)) | (~xuntil28(s278)) | until27(s279))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29754,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s278, s279)) | (~xuntil28(s278)) | until27(s279))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29755,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s278, s279)) | (~xuntil28(s278)) | until27(s279)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29754, 29753])).
% 6.88/5.60 tff(29756,plain,
% 6.88/5.60 ((~xuntil28(s278)) | until27(s279)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29755, 22405, 15580])).
% 6.88/5.60 tff(29757,plain,
% 6.88/5.60 (until27(s279)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29756, 29752])).
% 6.88/5.60 tff(29758,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s279) | node26(s279) | (~until27(s279)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s279) | node26(s279) | (~until27(s279)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29759,plain,
% 6.88/5.60 ((node26(s279) | (~until27(s279)) | xuntil28(s279)) <=> (xuntil28(s279) | node26(s279) | (~until27(s279)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29760,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s279) | (~until27(s279)) | xuntil28(s279))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s279) | node26(s279) | (~until27(s279))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29759])).
% 6.88/5.60 tff(29761,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s279) | (~until27(s279)) | xuntil28(s279))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s279) | node26(s279) | (~until27(s279)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29760, 29758])).
% 6.88/5.60 tff(29762,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s279) | (~until27(s279)) | xuntil28(s279))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29763,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s279) | node26(s279) | (~until27(s279))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29762, 29761])).
% 6.88/5.60 tff(29764,plain,
% 6.88/5.60 (xuntil28(s279)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29763, 15561, 29757, 23973])).
% 6.88/5.60 tff(29765,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s279, s280)) | (~xuntil28(s279)) | until27(s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s279, s280)) | (~xuntil28(s279)) | until27(s280))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29766,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s279, s280)) | (~xuntil28(s279)) | until27(s280))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29767,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s279, s280)) | (~xuntil28(s279)) | until27(s280)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29766, 29765])).
% 6.88/5.60 tff(29768,plain,
% 6.88/5.60 ((~xuntil28(s279)) | until27(s280)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29767, 22483, 15580])).
% 6.88/5.60 tff(29769,plain,
% 6.88/5.60 (until27(s280)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29768, 29764])).
% 6.88/5.60 tff(29770,plain,
% 6.88/5.60 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s280) | (~node26(s280)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s280) | (~node26(s280)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29771,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s280) | (~node26(s280)))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29772,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s280) | (~node26(s280))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29771, 29770])).
% 6.88/5.60 tff(29773,plain,
% 6.88/5.60 (~node26(s280)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29772, 15543, 23964])).
% 6.88/5.60 tff(29774,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s280) | node26(s280) | (~until27(s280)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s280) | node26(s280) | (~until27(s280)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29775,plain,
% 6.88/5.60 ((node26(s280) | (~until27(s280)) | xuntil28(s280)) <=> (xuntil28(s280) | node26(s280) | (~until27(s280)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29776,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s280) | (~until27(s280)) | xuntil28(s280))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s280) | node26(s280) | (~until27(s280))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29775])).
% 6.88/5.60 tff(29777,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s280) | (~until27(s280)) | xuntil28(s280))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s280) | node26(s280) | (~until27(s280)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29776, 29774])).
% 6.88/5.60 tff(29778,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s280) | (~until27(s280)) | xuntil28(s280))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29779,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s280) | node26(s280) | (~until27(s280))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29778, 29777])).
% 6.88/5.60 tff(29780,plain,
% 6.88/5.60 (xuntil28(s280) | (~until27(s280))),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29779, 15561, 29773])).
% 6.88/5.60 tff(29781,plain,
% 6.88/5.60 (xuntil28(s280)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29780, 29769])).
% 6.88/5.60 tff(29782,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s280, s281)) | (~xuntil28(s280)) | until27(s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s280, s281)) | (~xuntil28(s280)) | until27(s281))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29783,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s280, s281)) | (~xuntil28(s280)) | until27(s281))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29784,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s280, s281)) | (~xuntil28(s280)) | until27(s281)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 6.88/5.60 tff(29785,plain,
% 6.88/5.60 ((~xuntil28(s280)) | until27(s281)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29784, 22544, 15580])).
% 6.88/5.60 tff(29786,plain,
% 6.88/5.60 (until27(s281)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29785, 29781])).
% 6.88/5.60 tff(29787,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s281) | node26(s281) | (~until27(s281)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s281) | node26(s281) | (~until27(s281)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29788,plain,
% 6.88/5.60 ((node26(s281) | (~until27(s281)) | xuntil28(s281)) <=> (xuntil28(s281) | node26(s281) | (~until27(s281)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29789,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s281) | (~until27(s281)) | xuntil28(s281))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s281) | node26(s281) | (~until27(s281))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29788])).
% 6.88/5.60 tff(29790,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s281) | (~until27(s281)) | xuntil28(s281))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s281) | node26(s281) | (~until27(s281)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29789, 29787])).
% 6.88/5.60 tff(29791,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s281) | (~until27(s281)) | xuntil28(s281))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29792,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s281) | node26(s281) | (~until27(s281))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29791, 29790])).
% 6.88/5.60 tff(29793,plain,
% 6.88/5.60 (xuntil28(s281)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29792, 15561, 29786, 23957])).
% 6.88/5.60 tff(29794,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s281, s282)) | (~xuntil28(s281)) | until27(s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s281, s282)) | (~xuntil28(s281)) | until27(s282))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29795,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s281, s282)) | (~xuntil28(s281)) | until27(s282))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29796,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s281, s282)) | (~xuntil28(s281)) | until27(s282)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29795, 29794])).
% 6.88/5.60 tff(29797,plain,
% 6.88/5.60 ((~xuntil28(s281)) | until27(s282)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29796, 22639, 15580])).
% 6.88/5.60 tff(29798,plain,
% 6.88/5.60 (until27(s282)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29797, 29793])).
% 6.88/5.60 tff(29799,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s282) | node26(s282) | (~until27(s282)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s282) | node26(s282) | (~until27(s282)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29800,plain,
% 6.88/5.60 ((node26(s282) | (~until27(s282)) | xuntil28(s282)) <=> (xuntil28(s282) | node26(s282) | (~until27(s282)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29801,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s282) | (~until27(s282)) | xuntil28(s282))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s282) | node26(s282) | (~until27(s282))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29800])).
% 6.88/5.60 tff(29802,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s282) | (~until27(s282)) | xuntil28(s282))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s282) | node26(s282) | (~until27(s282)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29801, 29799])).
% 6.88/5.60 tff(29803,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s282) | (~until27(s282)) | xuntil28(s282))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29804,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s282) | node26(s282) | (~until27(s282))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 6.88/5.60 tff(29805,plain,
% 6.88/5.60 (xuntil28(s282) | node26(s282)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29804, 15561, 29798])).
% 6.88/5.60 tff(29806,plain,
% 6.88/5.60 (xuntil28(s282)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29805, 23953])).
% 6.88/5.60 tff(29807,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s282, s283)) | (~xuntil28(s282)) | until27(s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s282, s283)) | (~xuntil28(s282)) | until27(s283))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29808,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s282, s283)) | (~xuntil28(s282)) | until27(s283))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29809,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s282, s283)) | (~xuntil28(s282)) | until27(s283)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 6.88/5.60 tff(29810,plain,
% 6.88/5.60 ((~xuntil28(s282)) | until27(s283)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29809, 22703, 15580])).
% 6.88/5.60 tff(29811,plain,
% 6.88/5.60 (until27(s283)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29810, 29806])).
% 6.88/5.60 tff(29812,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s283) | node26(s283) | (~until27(s283)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s283) | node26(s283) | (~until27(s283)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29813,plain,
% 6.88/5.60 ((node26(s283) | (~until27(s283)) | xuntil28(s283)) <=> (xuntil28(s283) | node26(s283) | (~until27(s283)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29814,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s283) | (~until27(s283)) | xuntil28(s283))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s283) | node26(s283) | (~until27(s283))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29813])).
% 6.88/5.60 tff(29815,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s283) | (~until27(s283)) | xuntil28(s283))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s283) | node26(s283) | (~until27(s283)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29814, 29812])).
% 6.88/5.60 tff(29816,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s283) | (~until27(s283)) | xuntil28(s283))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29817,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s283) | node26(s283) | (~until27(s283))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29816, 29815])).
% 6.88/5.60 tff(29818,plain,
% 6.88/5.60 (xuntil28(s283)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29817, 15561, 29811, 23944])).
% 6.88/5.60 tff(29819,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s283, s284)) | (~xuntil28(s283)) | until27(s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s283, s284)) | (~xuntil28(s283)) | until27(s284))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29820,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s283, s284)) | (~xuntil28(s283)) | until27(s284))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29821,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s283, s284)) | (~xuntil28(s283)) | until27(s284)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29820, 29819])).
% 6.88/5.60 tff(29822,plain,
% 6.88/5.60 ((~xuntil28(s283)) | until27(s284)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29821, 22778, 15580])).
% 6.88/5.60 tff(29823,plain,
% 6.88/5.60 (until27(s284)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29822, 29818])).
% 6.88/5.60 tff(29824,plain,
% 6.88/5.60 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s284) | (~node26(s284)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s284) | (~node26(s284)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29825,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s284) | (~node26(s284)))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29826,plain,
% 6.88/5.60 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s284) | (~node26(s284))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 6.88/5.60 tff(29827,plain,
% 6.88/5.60 (~node26(s284)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29826, 15543, 23935])).
% 6.88/5.60 tff(29828,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s284) | node26(s284) | (~until27(s284)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s284) | node26(s284) | (~until27(s284)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29829,plain,
% 6.88/5.60 ((node26(s284) | (~until27(s284)) | xuntil28(s284)) <=> (xuntil28(s284) | node26(s284) | (~until27(s284)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29830,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s284) | (~until27(s284)) | xuntil28(s284))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s284) | node26(s284) | (~until27(s284))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29829])).
% 6.88/5.60 tff(29831,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s284) | (~until27(s284)) | xuntil28(s284))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s284) | node26(s284) | (~until27(s284)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29830, 29828])).
% 6.88/5.60 tff(29832,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s284) | (~until27(s284)) | xuntil28(s284))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29833,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s284) | node26(s284) | (~until27(s284))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29832, 29831])).
% 6.88/5.60 tff(29834,plain,
% 6.88/5.60 (xuntil28(s284) | (~until27(s284))),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29833, 15561, 29827])).
% 6.88/5.60 tff(29835,plain,
% 6.88/5.60 (xuntil28(s284)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29834, 29823])).
% 6.88/5.60 tff(29836,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s284, s285)) | (~xuntil28(s284)) | until27(s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s284, s285)) | (~xuntil28(s284)) | until27(s285))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29837,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s284, s285)) | (~xuntil28(s284)) | until27(s285))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29838,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s284, s285)) | (~xuntil28(s284)) | until27(s285)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 6.88/5.60 tff(29839,plain,
% 6.88/5.60 ((~xuntil28(s284)) | until27(s285)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29838, 22867, 15580])).
% 6.88/5.60 tff(29840,plain,
% 6.88/5.60 (until27(s285)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29839, 29835])).
% 6.88/5.60 tff(29841,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s285) | node26(s285) | (~until27(s285)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s285) | node26(s285) | (~until27(s285)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29842,plain,
% 6.88/5.60 ((node26(s285) | (~until27(s285)) | xuntil28(s285)) <=> (xuntil28(s285) | node26(s285) | (~until27(s285)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29843,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s285) | (~until27(s285)) | xuntil28(s285))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s285) | node26(s285) | (~until27(s285))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29842])).
% 6.88/5.60 tff(29844,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s285) | (~until27(s285)) | xuntil28(s285))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s285) | node26(s285) | (~until27(s285)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29843, 29841])).
% 6.88/5.60 tff(29845,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s285) | (~until27(s285)) | xuntil28(s285))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29846,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s285) | node26(s285) | (~until27(s285))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 6.88/5.60 tff(29847,plain,
% 6.88/5.60 (xuntil28(s285)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29846, 15561, 29840, 23928])).
% 6.88/5.60 tff(29848,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s285, s286)) | (~xuntil28(s285)) | until27(s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s285, s286)) | (~xuntil28(s285)) | until27(s286))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29849,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s285, s286)) | (~xuntil28(s285)) | until27(s286))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29850,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s285, s286)) | (~xuntil28(s285)) | until27(s286)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 6.88/5.60 tff(29851,plain,
% 6.88/5.60 ((~xuntil28(s285)) | until27(s286)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29850, 22934, 15580])).
% 6.88/5.60 tff(29852,plain,
% 6.88/5.60 (until27(s286)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29851, 29847])).
% 6.88/5.60 tff(29853,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s286) | node26(s286) | (~until27(s286)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s286) | node26(s286) | (~until27(s286)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29854,plain,
% 6.88/5.60 ((node26(s286) | (~until27(s286)) | xuntil28(s286)) <=> (xuntil28(s286) | node26(s286) | (~until27(s286)))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29855,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s286) | (~until27(s286)) | xuntil28(s286))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s286) | node26(s286) | (~until27(s286))))),
% 6.88/5.60 inference(monotonicity,[status(thm)],[29854])).
% 6.88/5.60 tff(29856,plain,
% 6.88/5.60 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s286) | (~until27(s286)) | xuntil28(s286))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s286) | node26(s286) | (~until27(s286)))),
% 6.88/5.60 inference(transitivity,[status(thm)],[29855, 29853])).
% 6.88/5.60 tff(29857,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s286) | (~until27(s286)) | xuntil28(s286))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29858,plain,
% 6.88/5.60 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s286) | node26(s286) | (~until27(s286))),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 6.88/5.60 tff(29859,plain,
% 6.88/5.60 (xuntil28(s286) | node26(s286)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29858, 15561, 29852])).
% 6.88/5.60 tff(29860,plain,
% 6.88/5.60 (xuntil28(s286)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29859, 23924])).
% 6.88/5.60 tff(29861,plain,
% 6.88/5.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s286, s287)) | (~xuntil28(s286)) | until27(s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s286, s287)) | (~xuntil28(s286)) | until27(s287))),
% 6.88/5.60 inference(rewrite,[status(thm)],[])).
% 6.88/5.60 tff(29862,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s286, s287)) | (~xuntil28(s286)) | until27(s287))),
% 6.88/5.60 inference(quant_inst,[status(thm)],[])).
% 6.88/5.60 tff(29863,plain,
% 6.88/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s286, s287)) | (~xuntil28(s286)) | until27(s287)),
% 6.88/5.60 inference(modus_ponens,[status(thm)],[29862, 29861])).
% 6.88/5.60 tff(29864,plain,
% 6.88/5.60 ((~xuntil28(s286)) | until27(s287)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29863, 23033, 15580])).
% 6.88/5.60 tff(29865,plain,
% 6.88/5.60 (until27(s287)),
% 6.88/5.60 inference(unit_resolution,[status(thm)],[29864, 29860])).
% 6.88/5.61 tff(29866,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s287) | node26(s287) | (~until27(s287)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s287) | node26(s287) | (~until27(s287)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29867,plain,
% 6.88/5.61 ((node26(s287) | (~until27(s287)) | xuntil28(s287)) <=> (xuntil28(s287) | node26(s287) | (~until27(s287)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29868,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s287) | (~until27(s287)) | xuntil28(s287))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s287) | node26(s287) | (~until27(s287))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29867])).
% 6.88/5.61 tff(29869,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s287) | (~until27(s287)) | xuntil28(s287))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s287) | node26(s287) | (~until27(s287)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29868, 29866])).
% 6.88/5.61 tff(29870,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s287) | (~until27(s287)) | xuntil28(s287))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29871,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s287) | node26(s287) | (~until27(s287))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 6.88/5.61 tff(29872,plain,
% 6.88/5.61 (xuntil28(s287)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29871, 15561, 29865, 23915])).
% 6.88/5.61 tff(29873,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s287, s288)) | (~xuntil28(s287)) | until27(s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s287, s288)) | (~xuntil28(s287)) | until27(s288))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29874,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s287, s288)) | (~xuntil28(s287)) | until27(s288))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29875,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s287, s288)) | (~xuntil28(s287)) | until27(s288)),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29874, 29873])).
% 6.88/5.61 tff(29876,plain,
% 6.88/5.61 ((~xuntil28(s287)) | until27(s288)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29875, 23111, 15580])).
% 6.88/5.61 tff(29877,plain,
% 6.88/5.61 (until27(s288)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29876, 29872])).
% 6.88/5.61 tff(29878,plain,
% 6.88/5.61 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s288) | (~node26(s288)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s288) | (~node26(s288)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29879,plain,
% 6.88/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s288) | (~node26(s288)))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29880,plain,
% 6.88/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s288) | (~node26(s288))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 6.88/5.61 tff(29881,plain,
% 6.88/5.61 (~node26(s288)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29880, 15543, 23906])).
% 6.88/5.61 tff(29882,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s288) | node26(s288) | (~until27(s288)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s288) | node26(s288) | (~until27(s288)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29883,plain,
% 6.88/5.61 ((node26(s288) | (~until27(s288)) | xuntil28(s288)) <=> (xuntil28(s288) | node26(s288) | (~until27(s288)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29884,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s288) | (~until27(s288)) | xuntil28(s288))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s288) | node26(s288) | (~until27(s288))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29883])).
% 6.88/5.61 tff(29885,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s288) | (~until27(s288)) | xuntil28(s288))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s288) | node26(s288) | (~until27(s288)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29884, 29882])).
% 6.88/5.61 tff(29886,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s288) | (~until27(s288)) | xuntil28(s288))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29887,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s288) | node26(s288) | (~until27(s288))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 6.88/5.61 tff(29888,plain,
% 6.88/5.61 (xuntil28(s288) | (~until27(s288))),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29887, 15561, 29881])).
% 6.88/5.61 tff(29889,plain,
% 6.88/5.61 (xuntil28(s288)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29888, 29877])).
% 6.88/5.61 tff(29890,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s288, s289)) | (~xuntil28(s288)) | until27(s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s288, s289)) | (~xuntil28(s288)) | until27(s289))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29891,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s288, s289)) | (~xuntil28(s288)) | until27(s289))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29892,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s288, s289)) | (~xuntil28(s288)) | until27(s289)),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 6.88/5.61 tff(29893,plain,
% 6.88/5.61 ((~xuntil28(s288)) | until27(s289)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29892, 23172, 15580])).
% 6.88/5.61 tff(29894,plain,
% 6.88/5.61 (until27(s289)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29893, 29889])).
% 6.88/5.61 tff(29895,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s289) | node26(s289) | (~until27(s289)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s289) | node26(s289) | (~until27(s289)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29896,plain,
% 6.88/5.61 ((node26(s289) | (~until27(s289)) | xuntil28(s289)) <=> (xuntil28(s289) | node26(s289) | (~until27(s289)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29897,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s289) | (~until27(s289)) | xuntil28(s289))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s289) | node26(s289) | (~until27(s289))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29896])).
% 6.88/5.61 tff(29898,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s289) | (~until27(s289)) | xuntil28(s289))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s289) | node26(s289) | (~until27(s289)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29897, 29895])).
% 6.88/5.61 tff(29899,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s289) | (~until27(s289)) | xuntil28(s289))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29900,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s289) | node26(s289) | (~until27(s289))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 6.88/5.61 tff(29901,plain,
% 6.88/5.61 (xuntil28(s289)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29900, 15561, 29894, 23899])).
% 6.88/5.61 tff(29902,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s289, s290)) | (~xuntil28(s289)) | until27(s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s289, s290)) | (~xuntil28(s289)) | until27(s290))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29903,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s289, s290)) | (~xuntil28(s289)) | until27(s290))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29904,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s289, s290)) | (~xuntil28(s289)) | until27(s290)),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 6.88/5.61 tff(29905,plain,
% 6.88/5.61 ((~xuntil28(s289)) | until27(s290)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29904, 23267, 15580])).
% 6.88/5.61 tff(29906,plain,
% 6.88/5.61 (until27(s290)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29905, 29901])).
% 6.88/5.61 tff(29907,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s290) | node26(s290) | (~until27(s290)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s290) | node26(s290) | (~until27(s290)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29908,plain,
% 6.88/5.61 ((node26(s290) | (~until27(s290)) | xuntil28(s290)) <=> (xuntil28(s290) | node26(s290) | (~until27(s290)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29909,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s290) | (~until27(s290)) | xuntil28(s290))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s290) | node26(s290) | (~until27(s290))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29908])).
% 6.88/5.61 tff(29910,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s290) | (~until27(s290)) | xuntil28(s290))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s290) | node26(s290) | (~until27(s290)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29909, 29907])).
% 6.88/5.61 tff(29911,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s290) | (~until27(s290)) | xuntil28(s290))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29912,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s290) | node26(s290) | (~until27(s290))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 6.88/5.61 tff(29913,plain,
% 6.88/5.61 (xuntil28(s290) | node26(s290)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29912, 15561, 29906])).
% 6.88/5.61 tff(29914,plain,
% 6.88/5.61 (xuntil28(s290)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29913, 23895])).
% 6.88/5.61 tff(29915,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s290, s291)) | (~xuntil28(s290)) | until27(s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s290, s291)) | (~xuntil28(s290)) | until27(s291))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29916,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s290, s291)) | (~xuntil28(s290)) | until27(s291))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29917,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s290, s291)) | (~xuntil28(s290)) | until27(s291)),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 6.88/5.61 tff(29918,plain,
% 6.88/5.61 ((~xuntil28(s290)) | until27(s291)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29917, 23331, 15580])).
% 6.88/5.61 tff(29919,plain,
% 6.88/5.61 (until27(s291)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29918, 29914])).
% 6.88/5.61 tff(29920,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s291) | node26(s291) | (~until27(s291)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s291) | node26(s291) | (~until27(s291)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29921,plain,
% 6.88/5.61 ((node26(s291) | (~until27(s291)) | xuntil28(s291)) <=> (xuntil28(s291) | node26(s291) | (~until27(s291)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29922,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s291) | (~until27(s291)) | xuntil28(s291))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s291) | node26(s291) | (~until27(s291))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29921])).
% 6.88/5.61 tff(29923,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s291) | (~until27(s291)) | xuntil28(s291))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s291) | node26(s291) | (~until27(s291)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29922, 29920])).
% 6.88/5.61 tff(29924,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s291) | (~until27(s291)) | xuntil28(s291))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29925,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s291) | node26(s291) | (~until27(s291))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 6.88/5.61 tff(29926,plain,
% 6.88/5.61 (xuntil28(s291)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29925, 15561, 29919, 23886])).
% 6.88/5.61 tff(29927,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s291, s292)) | (~xuntil28(s291)) | until27(s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s291, s292)) | (~xuntil28(s291)) | until27(s292))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29928,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s291, s292)) | (~xuntil28(s291)) | until27(s292))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29929,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s291, s292)) | (~xuntil28(s291)) | until27(s292)),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 6.88/5.61 tff(29930,plain,
% 6.88/5.61 ((~xuntil28(s291)) | until27(s292)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29929, 23406, 15580])).
% 6.88/5.61 tff(29931,plain,
% 6.88/5.61 (until27(s292)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29930, 29926])).
% 6.88/5.61 tff(29932,plain,
% 6.88/5.61 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s292) | (~node26(s292)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s292) | (~node26(s292)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29933,plain,
% 6.88/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s292) | (~node26(s292)))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29934,plain,
% 6.88/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s292) | (~node26(s292))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 6.88/5.61 tff(29935,plain,
% 6.88/5.61 (~node26(s292)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29934, 15543, 23877])).
% 6.88/5.61 tff(29936,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s292) | node26(s292) | (~until27(s292)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s292) | node26(s292) | (~until27(s292)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29937,plain,
% 6.88/5.61 ((node26(s292) | (~until27(s292)) | xuntil28(s292)) <=> (xuntil28(s292) | node26(s292) | (~until27(s292)))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29938,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s292) | (~until27(s292)) | xuntil28(s292))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s292) | node26(s292) | (~until27(s292))))),
% 6.88/5.61 inference(monotonicity,[status(thm)],[29937])).
% 6.88/5.61 tff(29939,plain,
% 6.88/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s292) | (~until27(s292)) | xuntil28(s292))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s292) | node26(s292) | (~until27(s292)))),
% 6.88/5.61 inference(transitivity,[status(thm)],[29938, 29936])).
% 6.88/5.61 tff(29940,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s292) | (~until27(s292)) | xuntil28(s292))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29941,plain,
% 6.88/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s292) | node26(s292) | (~until27(s292))),
% 6.88/5.61 inference(modus_ponens,[status(thm)],[29940, 29939])).
% 6.88/5.61 tff(29942,plain,
% 6.88/5.61 (xuntil28(s292) | (~until27(s292))),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29941, 15561, 29935])).
% 6.88/5.61 tff(29943,plain,
% 6.88/5.61 (xuntil28(s292)),
% 6.88/5.61 inference(unit_resolution,[status(thm)],[29942, 29931])).
% 6.88/5.61 tff(29944,plain,
% 6.88/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s292, s293)) | (~xuntil28(s292)) | until27(s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s292, s293)) | (~xuntil28(s292)) | until27(s293))),
% 6.88/5.61 inference(rewrite,[status(thm)],[])).
% 6.88/5.61 tff(29945,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s292, s293)) | (~xuntil28(s292)) | until27(s293))),
% 6.88/5.61 inference(quant_inst,[status(thm)],[])).
% 6.88/5.61 tff(29946,plain,
% 6.88/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s292, s293)) | (~xuntil28(s292)) | until27(s293)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29945, 29944])).
% 6.98/5.61 tff(29947,plain,
% 6.98/5.61 ((~xuntil28(s292)) | until27(s293)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29946, 23495, 15580])).
% 6.98/5.61 tff(29948,plain,
% 6.98/5.61 (until27(s293)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29947, 29943])).
% 6.98/5.61 tff(29949,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s293) | node26(s293) | (~until27(s293)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s293) | node26(s293) | (~until27(s293)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29950,plain,
% 6.98/5.61 ((node26(s293) | (~until27(s293)) | xuntil28(s293)) <=> (xuntil28(s293) | node26(s293) | (~until27(s293)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29951,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s293) | (~until27(s293)) | xuntil28(s293))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s293) | node26(s293) | (~until27(s293))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[29950])).
% 6.98/5.61 tff(29952,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s293) | (~until27(s293)) | xuntil28(s293))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s293) | node26(s293) | (~until27(s293)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[29951, 29949])).
% 6.98/5.61 tff(29953,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s293) | (~until27(s293)) | xuntil28(s293))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29954,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s293) | node26(s293) | (~until27(s293))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29953, 29952])).
% 6.98/5.61 tff(29955,plain,
% 6.98/5.61 (xuntil28(s293)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29954, 15561, 29948, 23870])).
% 6.98/5.61 tff(29956,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s293, s294)) | (~xuntil28(s293)) | until27(s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s293, s294)) | (~xuntil28(s293)) | until27(s294))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29957,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s293, s294)) | (~xuntil28(s293)) | until27(s294))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29958,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s293, s294)) | (~xuntil28(s293)) | until27(s294)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29957, 29956])).
% 6.98/5.61 tff(29959,plain,
% 6.98/5.61 ((~xuntil28(s293)) | until27(s294)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29958, 23562, 15580])).
% 6.98/5.61 tff(29960,plain,
% 6.98/5.61 (until27(s294)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29959, 29955])).
% 6.98/5.61 tff(29961,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s294) | node26(s294) | (~until27(s294)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s294) | node26(s294) | (~until27(s294)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29962,plain,
% 6.98/5.61 ((node26(s294) | (~until27(s294)) | xuntil28(s294)) <=> (xuntil28(s294) | node26(s294) | (~until27(s294)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29963,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s294) | (~until27(s294)) | xuntil28(s294))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s294) | node26(s294) | (~until27(s294))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[29962])).
% 6.98/5.61 tff(29964,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s294) | (~until27(s294)) | xuntil28(s294))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s294) | node26(s294) | (~until27(s294)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[29963, 29961])).
% 6.98/5.61 tff(29965,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s294) | (~until27(s294)) | xuntil28(s294))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29966,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s294) | node26(s294) | (~until27(s294))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29965, 29964])).
% 6.98/5.61 tff(29967,plain,
% 6.98/5.61 (xuntil28(s294) | node26(s294)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29966, 15561, 29960])).
% 6.98/5.61 tff(29968,plain,
% 6.98/5.61 (xuntil28(s294)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29967, 23866])).
% 6.98/5.61 tff(29969,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s294, s295)) | (~xuntil28(s294)) | until27(s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s294, s295)) | (~xuntil28(s294)) | until27(s295))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29970,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s294, s295)) | (~xuntil28(s294)) | until27(s295))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29971,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s294, s295)) | (~xuntil28(s294)) | until27(s295)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29970, 29969])).
% 6.98/5.61 tff(29972,plain,
% 6.98/5.61 ((~xuntil28(s294)) | until27(s295)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29971, 23661, 15580])).
% 6.98/5.61 tff(29973,plain,
% 6.98/5.61 (until27(s295)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29972, 29968])).
% 6.98/5.61 tff(29974,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s295) | node26(s295) | (~until27(s295)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s295) | node26(s295) | (~until27(s295)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29975,plain,
% 6.98/5.61 ((node26(s295) | (~until27(s295)) | xuntil28(s295)) <=> (xuntil28(s295) | node26(s295) | (~until27(s295)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29976,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s295) | (~until27(s295)) | xuntil28(s295))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s295) | node26(s295) | (~until27(s295))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[29975])).
% 6.98/5.61 tff(29977,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s295) | (~until27(s295)) | xuntil28(s295))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s295) | node26(s295) | (~until27(s295)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[29976, 29974])).
% 6.98/5.61 tff(29978,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s295) | (~until27(s295)) | xuntil28(s295))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29979,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s295) | node26(s295) | (~until27(s295))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 6.98/5.61 tff(29980,plain,
% 6.98/5.61 (xuntil28(s295)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29979, 15561, 29973, 23857])).
% 6.98/5.61 tff(29981,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s295, s296)) | (~xuntil28(s295)) | until27(s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s295, s296)) | (~xuntil28(s295)) | until27(s296))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29982,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s295, s296)) | (~xuntil28(s295)) | until27(s296))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29983,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s295, s296)) | (~xuntil28(s295)) | until27(s296)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 6.98/5.61 tff(29984,plain,
% 6.98/5.61 ((~xuntil28(s295)) | until27(s296)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29983, 23739, 15580])).
% 6.98/5.61 tff(29985,plain,
% 6.98/5.61 (until27(s296)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29984, 29980])).
% 6.98/5.61 tff(29986,plain,
% 6.98/5.61 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s296) | (~node26(s296)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s296) | (~node26(s296)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29987,plain,
% 6.98/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s296) | (~node26(s296)))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29988,plain,
% 6.98/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s296) | (~node26(s296))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 6.98/5.61 tff(29989,plain,
% 6.98/5.61 (~node26(s296)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29988, 15543, 23838])).
% 6.98/5.61 tff(29990,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s296) | node26(s296) | (~until27(s296)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s296) | node26(s296) | (~until27(s296)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29991,plain,
% 6.98/5.61 ((node26(s296) | (~until27(s296)) | xuntil28(s296)) <=> (xuntil28(s296) | node26(s296) | (~until27(s296)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29992,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s296) | (~until27(s296)) | xuntil28(s296))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s296) | node26(s296) | (~until27(s296))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[29991])).
% 6.98/5.61 tff(29993,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s296) | (~until27(s296)) | xuntil28(s296))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s296) | node26(s296) | (~until27(s296)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[29992, 29990])).
% 6.98/5.61 tff(29994,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s296) | (~until27(s296)) | xuntil28(s296))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(29995,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s296) | node26(s296) | (~until27(s296))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 6.98/5.61 tff(29996,plain,
% 6.98/5.61 (xuntil28(s296) | (~until27(s296))),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29995, 15561, 29989])).
% 6.98/5.61 tff(29997,plain,
% 6.98/5.61 (xuntil28(s296)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[29996, 29985])).
% 6.98/5.61 tff(29998,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s296, s297)) | (~xuntil28(s296)) | until27(s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s296, s297)) | (~xuntil28(s296)) | until27(s297))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(29999,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s296, s297)) | (~xuntil28(s296)) | until27(s297))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30000,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s296, s297)) | (~xuntil28(s296)) | until27(s297)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[29999, 29998])).
% 6.98/5.61 tff(30001,plain,
% 6.98/5.61 ((~xuntil28(s296)) | until27(s297)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30000, 23800, 15580])).
% 6.98/5.61 tff(30002,plain,
% 6.98/5.61 (until27(s297)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30001, 29997])).
% 6.98/5.61 tff(30003,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s297) | node26(s297) | (~until27(s297)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s297) | node26(s297) | (~until27(s297)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30004,plain,
% 6.98/5.61 ((node26(s297) | (~until27(s297)) | xuntil28(s297)) <=> (xuntil28(s297) | node26(s297) | (~until27(s297)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30005,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s297) | (~until27(s297)) | xuntil28(s297))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s297) | node26(s297) | (~until27(s297))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[30004])).
% 6.98/5.61 tff(30006,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s297) | (~until27(s297)) | xuntil28(s297))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s297) | node26(s297) | (~until27(s297)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[30005, 30003])).
% 6.98/5.61 tff(30007,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s297) | (~until27(s297)) | xuntil28(s297))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30008,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s297) | node26(s297) | (~until27(s297))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30007, 30006])).
% 6.98/5.61 tff(30009,plain,
% 6.98/5.61 (xuntil28(s297)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30008, 15561, 30002, 23831])).
% 6.98/5.61 tff(30010,plain,
% 6.98/5.61 (succ(s297, s298) <=> succ(s297, s298)),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30011,axiom,(succ(s297, s298)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound298')).
% 6.98/5.61 tff(30012,plain,
% 6.98/5.61 (succ(s297, s298)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30011, 30010])).
% 6.98/5.61 tff(30013,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s297, s298)) | (~xuntil28(s297)) | until27(s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s297, s298)) | (~xuntil28(s297)) | until27(s298))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30014,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s297, s298)) | (~xuntil28(s297)) | until27(s298))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30015,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s297, s298)) | (~xuntil28(s297)) | until27(s298)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 6.98/5.61 tff(30016,plain,
% 6.98/5.61 ((~xuntil28(s297)) | until27(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30015, 30012, 15580])).
% 6.98/5.61 tff(30017,plain,
% 6.98/5.61 (until27(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30016, 30009])).
% 6.98/5.61 tff(30018,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s298) | node26(s298) | (~until27(s298)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s298) | node26(s298) | (~until27(s298)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30019,plain,
% 6.98/5.61 ((node26(s298) | (~until27(s298)) | xuntil28(s298)) <=> (xuntil28(s298) | node26(s298) | (~until27(s298)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30020,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s298) | (~until27(s298)) | xuntil28(s298))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s298) | node26(s298) | (~until27(s298))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[30019])).
% 6.98/5.61 tff(30021,plain,
% 6.98/5.61 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s298) | (~until27(s298)) | xuntil28(s298))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s298) | node26(s298) | (~until27(s298)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[30020, 30018])).
% 6.98/5.61 tff(30022,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s298) | (~until27(s298)) | xuntil28(s298))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30023,plain,
% 6.98/5.61 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s298) | node26(s298) | (~until27(s298))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30022, 30021])).
% 6.98/5.61 tff(30024,plain,
% 6.98/5.61 (xuntil28(s298) | node26(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30023, 15561, 30017])).
% 6.98/5.61 tff(30025,plain,
% 6.98/5.61 (node26(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30024, 15588])).
% 6.98/5.61 tff(30026,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30027,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30028,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30027, 30026])).
% 6.98/5.61 tff(30029,plain,
% 6.98/5.61 (trans(s298, s299)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30028, 15583, 57])).
% 6.98/5.61 tff(30030,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s299) | (~trans(s298, s299)) | (~always25(s298)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s299) | (~trans(s298, s299)) | (~always25(s298)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30031,plain,
% 6.98/5.61 (((~trans(s298, s299)) | (~always25(s298)) | always25(s299)) <=> (always25(s299) | (~trans(s298, s299)) | (~always25(s298)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30032,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s298, s299)) | (~always25(s298)) | always25(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s299) | (~trans(s298, s299)) | (~always25(s298))))),
% 6.98/5.61 inference(monotonicity,[status(thm)],[30031])).
% 6.98/5.61 tff(30033,plain,
% 6.98/5.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s298, s299)) | (~always25(s298)) | always25(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s299) | (~trans(s298, s299)) | (~always25(s298)))),
% 6.98/5.61 inference(transitivity,[status(thm)],[30032, 30030])).
% 6.98/5.61 tff(30034,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s298, s299)) | (~always25(s298)) | always25(s299))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30035,plain,
% 6.98/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s299) | (~trans(s298, s299)) | (~always25(s298))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 6.98/5.61 tff(30036,plain,
% 6.98/5.61 (always25(s299) | (~always25(s298))),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30035, 23848, 30029])).
% 6.98/5.61 tff(30037,plain,
% 6.98/5.61 (~always25(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30036, 15534])).
% 6.98/5.61 tff(30038,plain,
% 6.98/5.61 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s298) | (~node26(s298)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s298) | (~node26(s298)))),
% 6.98/5.61 inference(rewrite,[status(thm)],[])).
% 6.98/5.61 tff(30039,plain,
% 6.98/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s298) | (~node26(s298)))),
% 6.98/5.61 inference(quant_inst,[status(thm)],[])).
% 6.98/5.61 tff(30040,plain,
% 6.98/5.61 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s298) | (~node26(s298))),
% 6.98/5.61 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 6.98/5.61 tff(30041,plain,
% 6.98/5.61 ($false),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30040, 15543, 30037, 30025])).
% 6.98/5.61 tff(30042,plain,(always25(s299) | xuntil28(s299)), inference(lemma,lemma(discharge,[]))).
% 6.98/5.61 tff(30043,plain,
% 6.98/5.61 (xuntil28(s299)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30042, 15534])).
% 6.98/5.61 tff(30044,plain,
% 6.98/5.61 (~node26(s298)),
% 6.98/5.61 inference(unit_resolution,[status(thm)],[30040, 15543, 30037])).
% 6.98/5.61 tff(30045,plain,
% 6.98/5.61 (^[X: $i] : refl(((~last(X)) | (~xuntil2p30(X))) <=> ((~last(X)) | (~xuntil2p30(X))))),
% 6.98/5.61 inference(bind,[status(th)],[])).
% 6.98/5.61 tff(30046,plain,
% 6.98/5.61 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(quant_intro,[status(thm)],[30045])).
% 6.98/5.62 tff(30047,plain,
% 6.98/5.62 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30048,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty25')).
% 6.98/5.62 tff(30049,plain,
% 6.98/5.62 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30048, 30047])).
% 6.98/5.62 tff(30050,plain,(
% 6.98/5.62 ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(skolemize,[status(sab)],[30049])).
% 6.98/5.62 tff(30051,plain,
% 6.98/5.62 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30050, 30046])).
% 6.98/5.62 tff(30052,plain,
% 6.98/5.62 (last(s299) <=> last(s299)),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30053,axiom,(last(s299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound300')).
% 6.98/5.62 tff(30054,plain,
% 6.98/5.62 (last(s299)),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 6.98/5.62 tff(30055,plain,
% 6.98/5.62 (((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s299)) | (~xuntil2p30(s299)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s299)) | (~xuntil2p30(s299)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30056,plain,
% 6.98/5.62 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s299)) | (~xuntil2p30(s299)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30057,plain,
% 6.98/5.62 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s299)) | (~xuntil2p30(s299))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30056, 30055])).
% 6.98/5.62 tff(30058,plain,
% 6.98/5.62 (~xuntil2p30(s299)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30057, 30054, 30051])).
% 6.98/5.62 tff(30059,plain,
% 6.98/5.62 (^[X: $i] : refl((node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 6.98/5.62 inference(bind,[status(th)],[])).
% 6.98/5.62 tff(30060,plain,
% 6.98/5.62 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(quant_intro,[status(thm)],[30059])).
% 6.98/5.62 tff(30061,plain,
% 6.98/5.62 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30062,plain,
% 6.98/5.62 (^[X: $i] : rewrite(((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 6.98/5.62 inference(bind,[status(th)],[])).
% 6.98/5.62 tff(30063,plain,
% 6.98/5.62 (![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(quant_intro,[status(thm)],[30062])).
% 6.98/5.62 tff(30064,axiom,(![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty23')).
% 6.98/5.62 tff(30065,plain,
% 6.98/5.62 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 6.98/5.62 tff(30066,plain,
% 6.98/5.62 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30065, 30061])).
% 6.98/5.62 tff(30067,plain,(
% 6.98/5.62 ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(skolemize,[status(sab)],[30066])).
% 6.98/5.62 tff(30068,plain,
% 6.98/5.62 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30067, 30060])).
% 6.98/5.62 tff(30069,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s299) | xuntil2p30(s299) | (~until2p29(s299)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s299) | xuntil2p30(s299) | (~until2p29(s299)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30070,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s299) | xuntil2p30(s299) | (~until2p29(s299)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30071,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s299) | xuntil2p30(s299) | (~until2p29(s299))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 6.98/5.62 tff(30072,plain,
% 6.98/5.62 (node26(s299) | (~until2p29(s299))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30071, 30068, 30058])).
% 6.98/5.62 tff(30073,plain,
% 6.98/5.62 (~until2p29(s299)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30072, 15549])).
% 6.98/5.62 tff(30074,plain,
% 6.98/5.62 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 6.98/5.62 inference(bind,[status(th)],[])).
% 6.98/5.62 tff(30075,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(quant_intro,[status(thm)],[30074])).
% 6.98/5.62 tff(30076,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30077,plain,
% 6.98/5.62 (^[Y: $i, X: $i] : rewrite(((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 6.98/5.62 inference(bind,[status(th)],[])).
% 6.98/5.62 tff(30078,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(quant_intro,[status(thm)],[30077])).
% 6.98/5.62 tff(30079,axiom,(![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty24')).
% 6.98/5.62 tff(30080,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30079, 30078])).
% 6.98/5.62 tff(30081,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30080, 30076])).
% 6.98/5.62 tff(30082,plain,(
% 6.98/5.62 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(skolemize,[status(sab)],[30081])).
% 6.98/5.62 tff(30083,plain,
% 6.98/5.62 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30082, 30075])).
% 6.98/5.62 tff(30084,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s298, s299)) | until2p29(s299) | (~xuntil2p30(s298)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s298, s299)) | until2p29(s299) | (~xuntil2p30(s298)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30085,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s298, s299)) | until2p29(s299) | (~xuntil2p30(s298)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30086,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s298, s299)) | until2p29(s299) | (~xuntil2p30(s298))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 6.98/5.62 tff(30087,plain,
% 6.98/5.62 (until2p29(s299) | (~xuntil2p30(s298))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30086, 15583, 30083])).
% 6.98/5.62 tff(30088,plain,
% 6.98/5.62 (~xuntil2p30(s298)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30087, 30073])).
% 6.98/5.62 tff(30089,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s298) | xuntil2p30(s298) | (~until2p29(s298)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s298) | xuntil2p30(s298) | (~until2p29(s298)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30090,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s298) | xuntil2p30(s298) | (~until2p29(s298)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30091,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s298) | xuntil2p30(s298) | (~until2p29(s298))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30090, 30089])).
% 6.98/5.62 tff(30092,plain,
% 6.98/5.62 (~until2p29(s298)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30091, 30068, 30088, 30044])).
% 6.98/5.62 tff(30093,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s297, s298)) | until2p29(s298) | (~xuntil2p30(s297)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s297, s298)) | until2p29(s298) | (~xuntil2p30(s297)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30094,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s297, s298)) | until2p29(s298) | (~xuntil2p30(s297)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30095,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s297, s298)) | until2p29(s298) | (~xuntil2p30(s297))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30094, 30093])).
% 6.98/5.62 tff(30096,plain,
% 6.98/5.62 (until2p29(s298) | (~xuntil2p30(s297))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30095, 30012, 30083])).
% 6.98/5.62 tff(30097,plain,
% 6.98/5.62 (~xuntil2p30(s297)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30096, 30092])).
% 6.98/5.62 tff(30098,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s297) | xuntil2p30(s297) | (~until2p29(s297)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s297) | xuntil2p30(s297) | (~until2p29(s297)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30099,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s297) | xuntil2p30(s297) | (~until2p29(s297)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30100,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s297) | xuntil2p30(s297) | (~until2p29(s297))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 6.98/5.62 tff(30101,plain,
% 6.98/5.62 (xuntil2p30(s297) | (~until2p29(s297))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30100, 30068, 23831])).
% 6.98/5.62 tff(30102,plain,
% 6.98/5.62 (~until2p29(s297)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30101, 30097])).
% 6.98/5.62 tff(30103,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s296, s297)) | until2p29(s297) | (~xuntil2p30(s296)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s296, s297)) | until2p29(s297) | (~xuntil2p30(s296)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30104,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s296, s297)) | until2p29(s297) | (~xuntil2p30(s296)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30105,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s296, s297)) | until2p29(s297) | (~xuntil2p30(s296))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 6.98/5.62 tff(30106,plain,
% 6.98/5.62 (until2p29(s297) | (~xuntil2p30(s296))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30105, 23800, 30083])).
% 6.98/5.62 tff(30107,plain,
% 6.98/5.62 (~xuntil2p30(s296)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30106, 30102])).
% 6.98/5.62 tff(30108,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s296) | xuntil2p30(s296) | (~until2p29(s296)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s296) | xuntil2p30(s296) | (~until2p29(s296)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30109,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s296) | xuntil2p30(s296) | (~until2p29(s296)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30110,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s296) | xuntil2p30(s296) | (~until2p29(s296))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30109, 30108])).
% 6.98/5.62 tff(30111,plain,
% 6.98/5.62 (xuntil2p30(s296) | (~until2p29(s296))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30110, 30068, 29989])).
% 6.98/5.62 tff(30112,plain,
% 6.98/5.62 (~until2p29(s296)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30111, 30107])).
% 6.98/5.62 tff(30113,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s295, s296)) | until2p29(s296) | (~xuntil2p30(s295)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s295, s296)) | until2p29(s296) | (~xuntil2p30(s295)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30114,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s295, s296)) | until2p29(s296) | (~xuntil2p30(s295)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30115,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s295, s296)) | until2p29(s296) | (~xuntil2p30(s295))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30114, 30113])).
% 6.98/5.62 tff(30116,plain,
% 6.98/5.62 (until2p29(s296) | (~xuntil2p30(s295))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30115, 23739, 30083])).
% 6.98/5.62 tff(30117,plain,
% 6.98/5.62 (~xuntil2p30(s295)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30116, 30112])).
% 6.98/5.62 tff(30118,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s295) | xuntil2p30(s295) | (~until2p29(s295)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s295) | xuntil2p30(s295) | (~until2p29(s295)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30119,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s295) | xuntil2p30(s295) | (~until2p29(s295)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30120,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s295) | xuntil2p30(s295) | (~until2p29(s295))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 6.98/5.62 tff(30121,plain,
% 6.98/5.62 (xuntil2p30(s295) | (~until2p29(s295))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30120, 30068, 23857])).
% 6.98/5.62 tff(30122,plain,
% 6.98/5.62 (~until2p29(s295)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30121, 30117])).
% 6.98/5.62 tff(30123,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s294, s295)) | until2p29(s295) | (~xuntil2p30(s294)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s294, s295)) | until2p29(s295) | (~xuntil2p30(s294)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30124,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s294, s295)) | until2p29(s295) | (~xuntil2p30(s294)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30125,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s294, s295)) | until2p29(s295) | (~xuntil2p30(s294))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 6.98/5.62 tff(30126,plain,
% 6.98/5.62 (until2p29(s295) | (~xuntil2p30(s294))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30125, 23661, 30083])).
% 6.98/5.62 tff(30127,plain,
% 6.98/5.62 (~xuntil2p30(s294)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30126, 30122])).
% 6.98/5.62 tff(30128,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s294) | xuntil2p30(s294) | (~until2p29(s294)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s294) | xuntil2p30(s294) | (~until2p29(s294)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30129,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s294) | xuntil2p30(s294) | (~until2p29(s294)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30130,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s294) | xuntil2p30(s294) | (~until2p29(s294))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30129, 30128])).
% 6.98/5.62 tff(30131,plain,
% 6.98/5.62 (xuntil2p30(s294) | (~until2p29(s294))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30130, 30068, 23866])).
% 6.98/5.62 tff(30132,plain,
% 6.98/5.62 (~until2p29(s294)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30131, 30127])).
% 6.98/5.62 tff(30133,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s293, s294)) | until2p29(s294) | (~xuntil2p30(s293)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s293, s294)) | until2p29(s294) | (~xuntil2p30(s293)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30134,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s293, s294)) | until2p29(s294) | (~xuntil2p30(s293)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30135,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s293, s294)) | until2p29(s294) | (~xuntil2p30(s293))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30134, 30133])).
% 6.98/5.62 tff(30136,plain,
% 6.98/5.62 (until2p29(s294) | (~xuntil2p30(s293))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30135, 23562, 30083])).
% 6.98/5.62 tff(30137,plain,
% 6.98/5.62 (~xuntil2p30(s293)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30136, 30132])).
% 6.98/5.62 tff(30138,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s293) | xuntil2p30(s293) | (~until2p29(s293)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s293) | xuntil2p30(s293) | (~until2p29(s293)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30139,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s293) | xuntil2p30(s293) | (~until2p29(s293)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30140,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s293) | xuntil2p30(s293) | (~until2p29(s293))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30139, 30138])).
% 6.98/5.62 tff(30141,plain,
% 6.98/5.62 (xuntil2p30(s293) | (~until2p29(s293))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30140, 30068, 23870])).
% 6.98/5.62 tff(30142,plain,
% 6.98/5.62 (~until2p29(s293)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30141, 30137])).
% 6.98/5.62 tff(30143,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s292, s293)) | until2p29(s293) | (~xuntil2p30(s292)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s292, s293)) | until2p29(s293) | (~xuntil2p30(s292)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30144,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s292, s293)) | until2p29(s293) | (~xuntil2p30(s292)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30145,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s292, s293)) | until2p29(s293) | (~xuntil2p30(s292))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30144, 30143])).
% 6.98/5.62 tff(30146,plain,
% 6.98/5.62 (until2p29(s293) | (~xuntil2p30(s292))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30145, 23495, 30083])).
% 6.98/5.62 tff(30147,plain,
% 6.98/5.62 (~xuntil2p30(s292)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30146, 30142])).
% 6.98/5.62 tff(30148,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s292) | xuntil2p30(s292) | (~until2p29(s292)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s292) | xuntil2p30(s292) | (~until2p29(s292)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30149,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s292) | xuntil2p30(s292) | (~until2p29(s292)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30150,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s292) | xuntil2p30(s292) | (~until2p29(s292))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30149, 30148])).
% 6.98/5.62 tff(30151,plain,
% 6.98/5.62 (xuntil2p30(s292) | (~until2p29(s292))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30150, 30068, 29935])).
% 6.98/5.62 tff(30152,plain,
% 6.98/5.62 (~until2p29(s292)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30151, 30147])).
% 6.98/5.62 tff(30153,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s291, s292)) | until2p29(s292) | (~xuntil2p30(s291)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s291, s292)) | until2p29(s292) | (~xuntil2p30(s291)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30154,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s291, s292)) | until2p29(s292) | (~xuntil2p30(s291)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30155,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s291, s292)) | until2p29(s292) | (~xuntil2p30(s291))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 6.98/5.62 tff(30156,plain,
% 6.98/5.62 (until2p29(s292) | (~xuntil2p30(s291))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30155, 23406, 30083])).
% 6.98/5.62 tff(30157,plain,
% 6.98/5.62 (~xuntil2p30(s291)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30156, 30152])).
% 6.98/5.62 tff(30158,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s291) | xuntil2p30(s291) | (~until2p29(s291)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s291) | xuntil2p30(s291) | (~until2p29(s291)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30159,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s291) | xuntil2p30(s291) | (~until2p29(s291)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30160,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s291) | xuntil2p30(s291) | (~until2p29(s291))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 6.98/5.62 tff(30161,plain,
% 6.98/5.62 (xuntil2p30(s291) | (~until2p29(s291))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30160, 30068, 23886])).
% 6.98/5.62 tff(30162,plain,
% 6.98/5.62 (~until2p29(s291)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30161, 30157])).
% 6.98/5.62 tff(30163,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s290, s291)) | until2p29(s291) | (~xuntil2p30(s290)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s290, s291)) | until2p29(s291) | (~xuntil2p30(s290)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30164,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s290, s291)) | until2p29(s291) | (~xuntil2p30(s290)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30165,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s290, s291)) | until2p29(s291) | (~xuntil2p30(s290))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30164, 30163])).
% 6.98/5.62 tff(30166,plain,
% 6.98/5.62 (until2p29(s291) | (~xuntil2p30(s290))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30165, 23331, 30083])).
% 6.98/5.62 tff(30167,plain,
% 6.98/5.62 (~xuntil2p30(s290)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30166, 30162])).
% 6.98/5.62 tff(30168,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s290) | xuntil2p30(s290) | (~until2p29(s290)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s290) | xuntil2p30(s290) | (~until2p29(s290)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30169,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s290) | xuntil2p30(s290) | (~until2p29(s290)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30170,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s290) | xuntil2p30(s290) | (~until2p29(s290))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30169, 30168])).
% 6.98/5.62 tff(30171,plain,
% 6.98/5.62 (xuntil2p30(s290) | (~until2p29(s290))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30170, 30068, 23895])).
% 6.98/5.62 tff(30172,plain,
% 6.98/5.62 (~until2p29(s290)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30171, 30167])).
% 6.98/5.62 tff(30173,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s289, s290)) | until2p29(s290) | (~xuntil2p30(s289)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s289, s290)) | until2p29(s290) | (~xuntil2p30(s289)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30174,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s289, s290)) | until2p29(s290) | (~xuntil2p30(s289)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30175,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s289, s290)) | until2p29(s290) | (~xuntil2p30(s289))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30174, 30173])).
% 6.98/5.62 tff(30176,plain,
% 6.98/5.62 (until2p29(s290) | (~xuntil2p30(s289))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30175, 23267, 30083])).
% 6.98/5.62 tff(30177,plain,
% 6.98/5.62 (~xuntil2p30(s289)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30176, 30172])).
% 6.98/5.62 tff(30178,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s289) | xuntil2p30(s289) | (~until2p29(s289)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s289) | xuntil2p30(s289) | (~until2p29(s289)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30179,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s289) | xuntil2p30(s289) | (~until2p29(s289)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30180,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s289) | xuntil2p30(s289) | (~until2p29(s289))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 6.98/5.62 tff(30181,plain,
% 6.98/5.62 (xuntil2p30(s289) | (~until2p29(s289))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30180, 30068, 23899])).
% 6.98/5.62 tff(30182,plain,
% 6.98/5.62 (~until2p29(s289)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30181, 30177])).
% 6.98/5.62 tff(30183,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s288, s289)) | until2p29(s289) | (~xuntil2p30(s288)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s288, s289)) | until2p29(s289) | (~xuntil2p30(s288)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30184,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s288, s289)) | until2p29(s289) | (~xuntil2p30(s288)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30185,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s288, s289)) | until2p29(s289) | (~xuntil2p30(s288))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 6.98/5.62 tff(30186,plain,
% 6.98/5.62 (until2p29(s289) | (~xuntil2p30(s288))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30185, 23172, 30083])).
% 6.98/5.62 tff(30187,plain,
% 6.98/5.62 (~xuntil2p30(s288)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30186, 30182])).
% 6.98/5.62 tff(30188,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s288) | xuntil2p30(s288) | (~until2p29(s288)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s288) | xuntil2p30(s288) | (~until2p29(s288)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30189,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s288) | xuntil2p30(s288) | (~until2p29(s288)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30190,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s288) | xuntil2p30(s288) | (~until2p29(s288))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30189, 30188])).
% 6.98/5.62 tff(30191,plain,
% 6.98/5.62 (xuntil2p30(s288) | (~until2p29(s288))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30190, 30068, 29881])).
% 6.98/5.62 tff(30192,plain,
% 6.98/5.62 (~until2p29(s288)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30191, 30187])).
% 6.98/5.62 tff(30193,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s287, s288)) | until2p29(s288) | (~xuntil2p30(s287)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s287, s288)) | until2p29(s288) | (~xuntil2p30(s287)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30194,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s287, s288)) | until2p29(s288) | (~xuntil2p30(s287)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30195,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s287, s288)) | until2p29(s288) | (~xuntil2p30(s287))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 6.98/5.62 tff(30196,plain,
% 6.98/5.62 (until2p29(s288) | (~xuntil2p30(s287))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30195, 23111, 30083])).
% 6.98/5.62 tff(30197,plain,
% 6.98/5.62 (~xuntil2p30(s287)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30196, 30192])).
% 6.98/5.62 tff(30198,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s287) | xuntil2p30(s287) | (~until2p29(s287)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s287) | xuntil2p30(s287) | (~until2p29(s287)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30199,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s287) | xuntil2p30(s287) | (~until2p29(s287)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30200,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s287) | xuntil2p30(s287) | (~until2p29(s287))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30199, 30198])).
% 6.98/5.62 tff(30201,plain,
% 6.98/5.62 (xuntil2p30(s287) | (~until2p29(s287))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30200, 30068, 23915])).
% 6.98/5.62 tff(30202,plain,
% 6.98/5.62 (~until2p29(s287)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30201, 30197])).
% 6.98/5.62 tff(30203,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s286, s287)) | until2p29(s287) | (~xuntil2p30(s286)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s286, s287)) | until2p29(s287) | (~xuntil2p30(s286)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30204,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s286, s287)) | until2p29(s287) | (~xuntil2p30(s286)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30205,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s286, s287)) | until2p29(s287) | (~xuntil2p30(s286))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30204, 30203])).
% 6.98/5.62 tff(30206,plain,
% 6.98/5.62 (until2p29(s287) | (~xuntil2p30(s286))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30205, 23033, 30083])).
% 6.98/5.62 tff(30207,plain,
% 6.98/5.62 (~xuntil2p30(s286)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30206, 30202])).
% 6.98/5.62 tff(30208,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s286) | xuntil2p30(s286) | (~until2p29(s286)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s286) | xuntil2p30(s286) | (~until2p29(s286)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30209,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s286) | xuntil2p30(s286) | (~until2p29(s286)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30210,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s286) | xuntil2p30(s286) | (~until2p29(s286))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 6.98/5.62 tff(30211,plain,
% 6.98/5.62 (xuntil2p30(s286) | (~until2p29(s286))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30210, 30068, 23924])).
% 6.98/5.62 tff(30212,plain,
% 6.98/5.62 (~until2p29(s286)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30211, 30207])).
% 6.98/5.62 tff(30213,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s285, s286)) | until2p29(s286) | (~xuntil2p30(s285)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s285, s286)) | until2p29(s286) | (~xuntil2p30(s285)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30214,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s285, s286)) | until2p29(s286) | (~xuntil2p30(s285)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30215,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s285, s286)) | until2p29(s286) | (~xuntil2p30(s285))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 6.98/5.62 tff(30216,plain,
% 6.98/5.62 (until2p29(s286) | (~xuntil2p30(s285))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30215, 22934, 30083])).
% 6.98/5.62 tff(30217,plain,
% 6.98/5.62 (~xuntil2p30(s285)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30216, 30212])).
% 6.98/5.62 tff(30218,plain,
% 6.98/5.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s285) | xuntil2p30(s285) | (~until2p29(s285)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s285) | xuntil2p30(s285) | (~until2p29(s285)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30219,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s285) | xuntil2p30(s285) | (~until2p29(s285)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30220,plain,
% 6.98/5.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s285) | xuntil2p30(s285) | (~until2p29(s285))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30219, 30218])).
% 6.98/5.62 tff(30221,plain,
% 6.98/5.62 (xuntil2p30(s285) | (~until2p29(s285))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30220, 30068, 23928])).
% 6.98/5.62 tff(30222,plain,
% 6.98/5.62 (~until2p29(s285)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30221, 30217])).
% 6.98/5.62 tff(30223,plain,
% 6.98/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s284, s285)) | until2p29(s285) | (~xuntil2p30(s284)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s284, s285)) | until2p29(s285) | (~xuntil2p30(s284)))),
% 6.98/5.62 inference(rewrite,[status(thm)],[])).
% 6.98/5.62 tff(30224,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s284, s285)) | until2p29(s285) | (~xuntil2p30(s284)))),
% 6.98/5.62 inference(quant_inst,[status(thm)],[])).
% 6.98/5.62 tff(30225,plain,
% 6.98/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s284, s285)) | until2p29(s285) | (~xuntil2p30(s284))),
% 6.98/5.62 inference(modus_ponens,[status(thm)],[30224, 30223])).
% 6.98/5.62 tff(30226,plain,
% 6.98/5.62 (until2p29(s285) | (~xuntil2p30(s284))),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30225, 22867, 30083])).
% 6.98/5.62 tff(30227,plain,
% 6.98/5.62 (~xuntil2p30(s284)),
% 6.98/5.62 inference(unit_resolution,[status(thm)],[30226, 30222])).
% 6.98/5.63 tff(30228,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s284) | xuntil2p30(s284) | (~until2p29(s284)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s284) | xuntil2p30(s284) | (~until2p29(s284)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30229,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s284) | xuntil2p30(s284) | (~until2p29(s284)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30230,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s284) | xuntil2p30(s284) | (~until2p29(s284))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 6.98/5.63 tff(30231,plain,
% 6.98/5.63 (xuntil2p30(s284) | (~until2p29(s284))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30230, 30068, 29827])).
% 6.98/5.63 tff(30232,plain,
% 6.98/5.63 (~until2p29(s284)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30231, 30227])).
% 6.98/5.63 tff(30233,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s283, s284)) | until2p29(s284) | (~xuntil2p30(s283)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s283, s284)) | until2p29(s284) | (~xuntil2p30(s283)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30234,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s283, s284)) | until2p29(s284) | (~xuntil2p30(s283)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30235,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s283, s284)) | until2p29(s284) | (~xuntil2p30(s283))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 6.98/5.63 tff(30236,plain,
% 6.98/5.63 (until2p29(s284) | (~xuntil2p30(s283))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30235, 22778, 30083])).
% 6.98/5.63 tff(30237,plain,
% 6.98/5.63 (~xuntil2p30(s283)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30236, 30232])).
% 6.98/5.63 tff(30238,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s283) | xuntil2p30(s283) | (~until2p29(s283)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s283) | xuntil2p30(s283) | (~until2p29(s283)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30239,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s283) | xuntil2p30(s283) | (~until2p29(s283)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30240,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s283) | xuntil2p30(s283) | (~until2p29(s283))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 6.98/5.63 tff(30241,plain,
% 6.98/5.63 (xuntil2p30(s283) | (~until2p29(s283))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30240, 30068, 23944])).
% 6.98/5.63 tff(30242,plain,
% 6.98/5.63 (~until2p29(s283)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30241, 30237])).
% 6.98/5.63 tff(30243,plain,
% 6.98/5.63 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)))),
% 6.98/5.63 inference(bind,[status(th)],[])).
% 6.98/5.63 tff(30244,plain,
% 6.98/5.63 (![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))),
% 6.98/5.63 inference(quant_intro,[status(thm)],[30243])).
% 6.98/5.63 tff(30245,plain,
% 6.98/5.63 (![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))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30246,plain,
% 6.98/5.63 (^[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))))),
% 6.98/5.63 inference(bind,[status(th)],[])).
% 6.98/5.63 tff(30247,plain,
% 6.98/5.63 (![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))),
% 6.98/5.63 inference(quant_intro,[status(thm)],[30246])).
% 6.98/5.63 tff(30248,axiom,(![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty22')).
% 6.98/5.63 tff(30249,plain,
% 6.98/5.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30248, 30247])).
% 6.98/5.63 tff(30250,plain,
% 6.98/5.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30249, 30245])).
% 6.98/5.63 tff(30251,plain,(
% 6.98/5.63 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 6.98/5.63 inference(skolemize,[status(sab)],[30250])).
% 6.98/5.63 tff(30252,plain,
% 6.98/5.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30251, 30244])).
% 6.98/5.63 tff(30253,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s282, s283)) | until2p29(s283) | (~xuntil2p30(s282)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s282, s283)) | until2p29(s283) | (~xuntil2p30(s282)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30254,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s282, s283)) | until2p29(s283) | (~xuntil2p30(s282)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30255,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s282, s283)) | until2p29(s283) | (~xuntil2p30(s282))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30254, 30253])).
% 6.98/5.63 tff(30256,plain,
% 6.98/5.63 (until2p29(s283) | (~xuntil2p30(s282))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30255, 22703, 30083])).
% 6.98/5.63 tff(30257,plain,
% 6.98/5.63 (~xuntil2p30(s282)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30256, 30242])).
% 6.98/5.63 tff(30258,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s282) | xuntil2p30(s282) | (~until2p29(s282)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s282) | xuntil2p30(s282) | (~until2p29(s282)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30259,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s282) | xuntil2p30(s282) | (~until2p29(s282)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30260,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s282) | xuntil2p30(s282) | (~until2p29(s282))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30259, 30258])).
% 6.98/5.63 tff(30261,plain,
% 6.98/5.63 (xuntil2p30(s282) | (~until2p29(s282))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30260, 30068, 23953])).
% 6.98/5.63 tff(30262,plain,
% 6.98/5.63 (~until2p29(s282)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30261, 30257])).
% 6.98/5.63 tff(30263,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s281, s282)) | until2p29(s282) | (~xuntil2p30(s281)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s281, s282)) | until2p29(s282) | (~xuntil2p30(s281)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30264,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s281, s282)) | until2p29(s282) | (~xuntil2p30(s281)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30265,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s281, s282)) | until2p29(s282) | (~xuntil2p30(s281))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30264, 30263])).
% 6.98/5.63 tff(30266,plain,
% 6.98/5.63 (until2p29(s282) | (~xuntil2p30(s281))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30265, 22639, 30083])).
% 6.98/5.63 tff(30267,plain,
% 6.98/5.63 (~xuntil2p30(s281)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30266, 30262])).
% 6.98/5.63 tff(30268,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s281) | xuntil2p30(s281) | (~until2p29(s281)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s281) | xuntil2p30(s281) | (~until2p29(s281)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30269,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s281) | xuntil2p30(s281) | (~until2p29(s281)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30270,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s281) | xuntil2p30(s281) | (~until2p29(s281))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30269, 30268])).
% 6.98/5.63 tff(30271,plain,
% 6.98/5.63 (xuntil2p30(s281) | (~until2p29(s281))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30270, 30068, 23957])).
% 6.98/5.63 tff(30272,plain,
% 6.98/5.63 (~until2p29(s281)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30271, 30267])).
% 6.98/5.63 tff(30273,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s280, s281)) | until2p29(s281) | (~xuntil2p30(s280)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s280, s281)) | until2p29(s281) | (~xuntil2p30(s280)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30274,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s280, s281)) | until2p29(s281) | (~xuntil2p30(s280)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30275,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s280, s281)) | until2p29(s281) | (~xuntil2p30(s280))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 6.98/5.63 tff(30276,plain,
% 6.98/5.63 (until2p29(s281) | (~xuntil2p30(s280))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30275, 22544, 30083])).
% 6.98/5.63 tff(30277,plain,
% 6.98/5.63 (~xuntil2p30(s280)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30276, 30272])).
% 6.98/5.63 tff(30278,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s280) | xuntil2p30(s280) | (~until2p29(s280)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s280) | xuntil2p30(s280) | (~until2p29(s280)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30279,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s280) | xuntil2p30(s280) | (~until2p29(s280)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30280,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s280) | xuntil2p30(s280) | (~until2p29(s280))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 6.98/5.63 tff(30281,plain,
% 6.98/5.63 (xuntil2p30(s280) | (~until2p29(s280))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30280, 30068, 29773])).
% 6.98/5.63 tff(30282,plain,
% 6.98/5.63 (~until2p29(s280)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30281, 30277])).
% 6.98/5.63 tff(30283,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s279, s280)) | until2p29(s280) | (~xuntil2p30(s279)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s279, s280)) | until2p29(s280) | (~xuntil2p30(s279)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30284,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s279, s280)) | until2p29(s280) | (~xuntil2p30(s279)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30285,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s279, s280)) | until2p29(s280) | (~xuntil2p30(s279))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30284, 30283])).
% 6.98/5.63 tff(30286,plain,
% 6.98/5.63 (until2p29(s280) | (~xuntil2p30(s279))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30285, 22483, 30083])).
% 6.98/5.63 tff(30287,plain,
% 6.98/5.63 (~xuntil2p30(s279)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30286, 30282])).
% 6.98/5.63 tff(30288,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s279) | xuntil2p30(s279) | (~until2p29(s279)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s279) | xuntil2p30(s279) | (~until2p29(s279)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30289,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s279) | xuntil2p30(s279) | (~until2p29(s279)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30290,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s279) | xuntil2p30(s279) | (~until2p29(s279))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 6.98/5.63 tff(30291,plain,
% 6.98/5.63 (xuntil2p30(s279) | (~until2p29(s279))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30290, 30068, 23973])).
% 6.98/5.63 tff(30292,plain,
% 6.98/5.63 (~until2p29(s279)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30291, 30287])).
% 6.98/5.63 tff(30293,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s278, s279)) | until2p29(s279) | (~xuntil2p30(s278)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s278, s279)) | until2p29(s279) | (~xuntil2p30(s278)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30294,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s278, s279)) | until2p29(s279) | (~xuntil2p30(s278)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30295,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s278, s279)) | until2p29(s279) | (~xuntil2p30(s278))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30294, 30293])).
% 6.98/5.63 tff(30296,plain,
% 6.98/5.63 (until2p29(s279) | (~xuntil2p30(s278))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30295, 22405, 30083])).
% 6.98/5.63 tff(30297,plain,
% 6.98/5.63 (~xuntil2p30(s278)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30296, 30292])).
% 6.98/5.63 tff(30298,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s278) | xuntil2p30(s278) | (~until2p29(s278)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s278) | xuntil2p30(s278) | (~until2p29(s278)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30299,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s278) | xuntil2p30(s278) | (~until2p29(s278)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30300,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s278) | xuntil2p30(s278) | (~until2p29(s278))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30299, 30298])).
% 6.98/5.63 tff(30301,plain,
% 6.98/5.63 (xuntil2p30(s278) | (~until2p29(s278))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30300, 30068, 23982])).
% 6.98/5.63 tff(30302,plain,
% 6.98/5.63 (~until2p29(s278)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30301, 30297])).
% 6.98/5.63 tff(30303,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s277, s278)) | until2p29(s278) | (~xuntil2p30(s277)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s277, s278)) | until2p29(s278) | (~xuntil2p30(s277)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30304,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s277, s278)) | until2p29(s278) | (~xuntil2p30(s277)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30305,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s277, s278)) | until2p29(s278) | (~xuntil2p30(s277))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 6.98/5.63 tff(30306,plain,
% 6.98/5.63 (until2p29(s278) | (~xuntil2p30(s277))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30305, 22306, 30083])).
% 6.98/5.63 tff(30307,plain,
% 6.98/5.63 (~xuntil2p30(s277)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30306, 30302])).
% 6.98/5.63 tff(30308,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s277) | xuntil2p30(s277) | (~until2p29(s277)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s277) | xuntil2p30(s277) | (~until2p29(s277)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30309,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s277) | xuntil2p30(s277) | (~until2p29(s277)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30310,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s277) | xuntil2p30(s277) | (~until2p29(s277))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30309, 30308])).
% 6.98/5.63 tff(30311,plain,
% 6.98/5.63 (xuntil2p30(s277) | (~until2p29(s277))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30310, 30068, 23986])).
% 6.98/5.63 tff(30312,plain,
% 6.98/5.63 (~until2p29(s277)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30311, 30307])).
% 6.98/5.63 tff(30313,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s276, s277)) | until2p29(s277) | (~xuntil2p30(s276)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s276, s277)) | until2p29(s277) | (~xuntil2p30(s276)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30314,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s276, s277)) | until2p29(s277) | (~xuntil2p30(s276)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30315,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s276, s277)) | until2p29(s277) | (~xuntil2p30(s276))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30314, 30313])).
% 6.98/5.63 tff(30316,plain,
% 6.98/5.63 (until2p29(s277) | (~xuntil2p30(s276))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30315, 22239, 30083])).
% 6.98/5.63 tff(30317,plain,
% 6.98/5.63 (~xuntil2p30(s276)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30316, 30312])).
% 6.98/5.63 tff(30318,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s276) | xuntil2p30(s276) | (~until2p29(s276)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s276) | xuntil2p30(s276) | (~until2p29(s276)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30319,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s276) | xuntil2p30(s276) | (~until2p29(s276)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30320,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s276) | xuntil2p30(s276) | (~until2p29(s276))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 6.98/5.63 tff(30321,plain,
% 6.98/5.63 (xuntil2p30(s276) | (~until2p29(s276))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30320, 30068, 29719])).
% 6.98/5.63 tff(30322,plain,
% 6.98/5.63 (~until2p29(s276)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30321, 30317])).
% 6.98/5.63 tff(30323,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s275, s276)) | until2p29(s276) | (~xuntil2p30(s275)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s275, s276)) | until2p29(s276) | (~xuntil2p30(s275)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30324,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s275, s276)) | until2p29(s276) | (~xuntil2p30(s275)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30325,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s275, s276)) | until2p29(s276) | (~xuntil2p30(s275))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 6.98/5.63 tff(30326,plain,
% 6.98/5.63 (until2p29(s276) | (~xuntil2p30(s275))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30325, 22150, 30083])).
% 6.98/5.63 tff(30327,plain,
% 6.98/5.63 (~xuntil2p30(s275)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30326, 30322])).
% 6.98/5.63 tff(30328,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s275) | xuntil2p30(s275) | (~until2p29(s275)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s275) | xuntil2p30(s275) | (~until2p29(s275)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30329,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s275) | xuntil2p30(s275) | (~until2p29(s275)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30330,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s275) | xuntil2p30(s275) | (~until2p29(s275))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 6.98/5.63 tff(30331,plain,
% 6.98/5.63 (xuntil2p30(s275) | (~until2p29(s275))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30330, 30068, 24002])).
% 6.98/5.63 tff(30332,plain,
% 6.98/5.63 (~until2p29(s275)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30331, 30327])).
% 6.98/5.63 tff(30333,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s274, s275)) | until2p29(s275) | (~xuntil2p30(s274)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s274, s275)) | until2p29(s275) | (~xuntil2p30(s274)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30334,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s274, s275)) | until2p29(s275) | (~xuntil2p30(s274)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30335,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s274, s275)) | until2p29(s275) | (~xuntil2p30(s274))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 6.98/5.63 tff(30336,plain,
% 6.98/5.63 (until2p29(s275) | (~xuntil2p30(s274))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30335, 22075, 30083])).
% 6.98/5.63 tff(30337,plain,
% 6.98/5.63 (~xuntil2p30(s274)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30336, 30332])).
% 6.98/5.63 tff(30338,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s274) | xuntil2p30(s274) | (~until2p29(s274)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s274) | xuntil2p30(s274) | (~until2p29(s274)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30339,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s274) | xuntil2p30(s274) | (~until2p29(s274)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30340,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s274) | xuntil2p30(s274) | (~until2p29(s274))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 6.98/5.63 tff(30341,plain,
% 6.98/5.63 (xuntil2p30(s274) | (~until2p29(s274))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30340, 30068, 24011])).
% 6.98/5.63 tff(30342,plain,
% 6.98/5.63 (~until2p29(s274)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30341, 30337])).
% 6.98/5.63 tff(30343,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s273, s274)) | until2p29(s274) | (~xuntil2p30(s273)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s273, s274)) | until2p29(s274) | (~xuntil2p30(s273)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30344,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s273, s274)) | until2p29(s274) | (~xuntil2p30(s273)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30345,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s273, s274)) | until2p29(s274) | (~xuntil2p30(s273))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 6.98/5.63 tff(30346,plain,
% 6.98/5.63 (until2p29(s274) | (~xuntil2p30(s273))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30345, 22011, 30083])).
% 6.98/5.63 tff(30347,plain,
% 6.98/5.63 (~xuntil2p30(s273)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30346, 30342])).
% 6.98/5.63 tff(30348,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s273) | xuntil2p30(s273) | (~until2p29(s273)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s273) | xuntil2p30(s273) | (~until2p29(s273)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30349,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s273) | xuntil2p30(s273) | (~until2p29(s273)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30350,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s273) | xuntil2p30(s273) | (~until2p29(s273))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 6.98/5.63 tff(30351,plain,
% 6.98/5.63 (xuntil2p30(s273) | (~until2p29(s273))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30350, 30068, 24015])).
% 6.98/5.63 tff(30352,plain,
% 6.98/5.63 (~until2p29(s273)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30351, 30347])).
% 6.98/5.63 tff(30353,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s272, s273)) | until2p29(s273) | (~xuntil2p30(s272)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s272, s273)) | until2p29(s273) | (~xuntil2p30(s272)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30354,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s272, s273)) | until2p29(s273) | (~xuntil2p30(s272)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30355,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s272, s273)) | until2p29(s273) | (~xuntil2p30(s272))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 6.98/5.63 tff(30356,plain,
% 6.98/5.63 (until2p29(s273) | (~xuntil2p30(s272))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30355, 21916, 30083])).
% 6.98/5.63 tff(30357,plain,
% 6.98/5.63 (~xuntil2p30(s272)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30356, 30352])).
% 6.98/5.63 tff(30358,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s272) | xuntil2p30(s272) | (~until2p29(s272)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s272) | xuntil2p30(s272) | (~until2p29(s272)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30359,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s272) | xuntil2p30(s272) | (~until2p29(s272)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30360,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s272) | xuntil2p30(s272) | (~until2p29(s272))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30359, 30358])).
% 6.98/5.63 tff(30361,plain,
% 6.98/5.63 (xuntil2p30(s272) | (~until2p29(s272))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30360, 30068, 29665])).
% 6.98/5.63 tff(30362,plain,
% 6.98/5.63 (~until2p29(s272)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30361, 30357])).
% 6.98/5.63 tff(30363,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s271, s272)) | until2p29(s272) | (~xuntil2p30(s271)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s271, s272)) | until2p29(s272) | (~xuntil2p30(s271)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30364,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s271, s272)) | until2p29(s272) | (~xuntil2p30(s271)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30365,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s271, s272)) | until2p29(s272) | (~xuntil2p30(s271))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30364, 30363])).
% 6.98/5.63 tff(30366,plain,
% 6.98/5.63 (until2p29(s272) | (~xuntil2p30(s271))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30365, 21855, 30083])).
% 6.98/5.63 tff(30367,plain,
% 6.98/5.63 (~xuntil2p30(s271)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30366, 30362])).
% 6.98/5.63 tff(30368,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s271) | xuntil2p30(s271) | (~until2p29(s271)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s271) | xuntil2p30(s271) | (~until2p29(s271)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30369,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s271) | xuntil2p30(s271) | (~until2p29(s271)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30370,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s271) | xuntil2p30(s271) | (~until2p29(s271))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 6.98/5.63 tff(30371,plain,
% 6.98/5.63 (xuntil2p30(s271) | (~until2p29(s271))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30370, 30068, 24031])).
% 6.98/5.63 tff(30372,plain,
% 6.98/5.63 (~until2p29(s271)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30371, 30367])).
% 6.98/5.63 tff(30373,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s270, s271)) | until2p29(s271) | (~xuntil2p30(s270)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s270, s271)) | until2p29(s271) | (~xuntil2p30(s270)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30374,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s270, s271)) | until2p29(s271) | (~xuntil2p30(s270)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30375,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s270, s271)) | until2p29(s271) | (~xuntil2p30(s270))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30374, 30373])).
% 6.98/5.63 tff(30376,plain,
% 6.98/5.63 (until2p29(s271) | (~xuntil2p30(s270))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30375, 21777, 30083])).
% 6.98/5.63 tff(30377,plain,
% 6.98/5.63 (~xuntil2p30(s270)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30376, 30372])).
% 6.98/5.63 tff(30378,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s270) | xuntil2p30(s270) | (~until2p29(s270)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s270) | xuntil2p30(s270) | (~until2p29(s270)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30379,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s270) | xuntil2p30(s270) | (~until2p29(s270)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30380,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s270) | xuntil2p30(s270) | (~until2p29(s270))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30379, 30378])).
% 6.98/5.63 tff(30381,plain,
% 6.98/5.63 (xuntil2p30(s270) | (~until2p29(s270))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30380, 30068, 24040])).
% 6.98/5.63 tff(30382,plain,
% 6.98/5.63 (~until2p29(s270)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30381, 30377])).
% 6.98/5.63 tff(30383,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s269, s270)) | until2p29(s270) | (~xuntil2p30(s269)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s269, s270)) | until2p29(s270) | (~xuntil2p30(s269)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30384,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s269, s270)) | until2p29(s270) | (~xuntil2p30(s269)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30385,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s269, s270)) | until2p29(s270) | (~xuntil2p30(s269))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 6.98/5.63 tff(30386,plain,
% 6.98/5.63 (until2p29(s270) | (~xuntil2p30(s269))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30385, 21678, 30083])).
% 6.98/5.63 tff(30387,plain,
% 6.98/5.63 (~xuntil2p30(s269)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30386, 30382])).
% 6.98/5.63 tff(30388,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s269) | xuntil2p30(s269) | (~until2p29(s269)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s269) | xuntil2p30(s269) | (~until2p29(s269)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30389,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s269) | xuntil2p30(s269) | (~until2p29(s269)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30390,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s269) | xuntil2p30(s269) | (~until2p29(s269))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 6.98/5.63 tff(30391,plain,
% 6.98/5.63 (xuntil2p30(s269) | (~until2p29(s269))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30390, 30068, 24044])).
% 6.98/5.63 tff(30392,plain,
% 6.98/5.63 (~until2p29(s269)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30391, 30387])).
% 6.98/5.63 tff(30393,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s268, s269)) | until2p29(s269) | (~xuntil2p30(s268)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s268, s269)) | until2p29(s269) | (~xuntil2p30(s268)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30394,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s268, s269)) | until2p29(s269) | (~xuntil2p30(s268)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30395,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s268, s269)) | until2p29(s269) | (~xuntil2p30(s268))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30394, 30393])).
% 6.98/5.63 tff(30396,plain,
% 6.98/5.63 (until2p29(s269) | (~xuntil2p30(s268))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30395, 21611, 30083])).
% 6.98/5.63 tff(30397,plain,
% 6.98/5.63 (~xuntil2p30(s268)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30396, 30392])).
% 6.98/5.63 tff(30398,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s268) | xuntil2p30(s268) | (~until2p29(s268)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s268) | xuntil2p30(s268) | (~until2p29(s268)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30399,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s268) | xuntil2p30(s268) | (~until2p29(s268)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30400,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s268) | xuntil2p30(s268) | (~until2p29(s268))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30399, 30398])).
% 6.98/5.63 tff(30401,plain,
% 6.98/5.63 (xuntil2p30(s268) | (~until2p29(s268))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30400, 30068, 29611])).
% 6.98/5.63 tff(30402,plain,
% 6.98/5.63 (~until2p29(s268)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30401, 30397])).
% 6.98/5.63 tff(30403,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s267, s268)) | until2p29(s268) | (~xuntil2p30(s267)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s267, s268)) | until2p29(s268) | (~xuntil2p30(s267)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30404,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s267, s268)) | until2p29(s268) | (~xuntil2p30(s267)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30405,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s267, s268)) | until2p29(s268) | (~xuntil2p30(s267))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 6.98/5.63 tff(30406,plain,
% 6.98/5.63 (until2p29(s268) | (~xuntil2p30(s267))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30405, 21522, 30083])).
% 6.98/5.63 tff(30407,plain,
% 6.98/5.63 (~xuntil2p30(s267)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30406, 30402])).
% 6.98/5.63 tff(30408,plain,
% 6.98/5.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s267) | xuntil2p30(s267) | (~until2p29(s267)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s267) | xuntil2p30(s267) | (~until2p29(s267)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30409,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s267) | xuntil2p30(s267) | (~until2p29(s267)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30410,plain,
% 6.98/5.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s267) | xuntil2p30(s267) | (~until2p29(s267))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 6.98/5.63 tff(30411,plain,
% 6.98/5.63 (xuntil2p30(s267) | (~until2p29(s267))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30410, 30068, 24060])).
% 6.98/5.63 tff(30412,plain,
% 6.98/5.63 (~until2p29(s267)),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30411, 30407])).
% 6.98/5.63 tff(30413,plain,
% 6.98/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s266, s267)) | until2p29(s267) | (~xuntil2p30(s266)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s266, s267)) | until2p29(s267) | (~xuntil2p30(s266)))),
% 6.98/5.63 inference(rewrite,[status(thm)],[])).
% 6.98/5.63 tff(30414,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s266, s267)) | until2p29(s267) | (~xuntil2p30(s266)))),
% 6.98/5.63 inference(quant_inst,[status(thm)],[])).
% 6.98/5.63 tff(30415,plain,
% 6.98/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s266, s267)) | until2p29(s267) | (~xuntil2p30(s266))),
% 6.98/5.63 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 6.98/5.63 tff(30416,plain,
% 6.98/5.63 (until2p29(s267) | (~xuntil2p30(s266))),
% 6.98/5.63 inference(unit_resolution,[status(thm)],[30415, 21447, 30083])).
% 6.98/5.64 tff(30417,plain,
% 6.98/5.64 (~xuntil2p30(s266)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30416, 30412])).
% 6.98/5.64 tff(30418,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s266) | xuntil2p30(s266) | (~until2p29(s266)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s266) | xuntil2p30(s266) | (~until2p29(s266)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30419,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s266) | xuntil2p30(s266) | (~until2p29(s266)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30420,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s266) | xuntil2p30(s266) | (~until2p29(s266))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 6.98/5.64 tff(30421,plain,
% 6.98/5.64 (xuntil2p30(s266) | (~until2p29(s266))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30420, 30068, 24069])).
% 6.98/5.64 tff(30422,plain,
% 6.98/5.64 (~until2p29(s266)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30421, 30417])).
% 6.98/5.64 tff(30423,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s265, s266)) | until2p29(s266) | (~xuntil2p30(s265)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s265, s266)) | until2p29(s266) | (~xuntil2p30(s265)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30424,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s265, s266)) | until2p29(s266) | (~xuntil2p30(s265)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30425,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s265, s266)) | until2p29(s266) | (~xuntil2p30(s265))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 6.98/5.64 tff(30426,plain,
% 6.98/5.64 (until2p29(s266) | (~xuntil2p30(s265))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30425, 21383, 30083])).
% 6.98/5.64 tff(30427,plain,
% 6.98/5.64 (~xuntil2p30(s265)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30426, 30422])).
% 6.98/5.64 tff(30428,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s265) | xuntil2p30(s265) | (~until2p29(s265)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s265) | xuntil2p30(s265) | (~until2p29(s265)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30429,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s265) | xuntil2p30(s265) | (~until2p29(s265)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30430,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s265) | xuntil2p30(s265) | (~until2p29(s265))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 6.98/5.64 tff(30431,plain,
% 6.98/5.64 (xuntil2p30(s265) | (~until2p29(s265))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30430, 30068, 24073])).
% 6.98/5.64 tff(30432,plain,
% 6.98/5.64 (~until2p29(s265)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30431, 30427])).
% 6.98/5.64 tff(30433,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s264, s265)) | until2p29(s265) | (~xuntil2p30(s264)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s264, s265)) | until2p29(s265) | (~xuntil2p30(s264)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30434,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s264, s265)) | until2p29(s265) | (~xuntil2p30(s264)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30435,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s264, s265)) | until2p29(s265) | (~xuntil2p30(s264))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 6.98/5.64 tff(30436,plain,
% 6.98/5.64 (until2p29(s265) | (~xuntil2p30(s264))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30435, 21288, 30083])).
% 6.98/5.64 tff(30437,plain,
% 6.98/5.64 (~xuntil2p30(s264)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30436, 30432])).
% 6.98/5.64 tff(30438,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s264) | xuntil2p30(s264) | (~until2p29(s264)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s264) | xuntil2p30(s264) | (~until2p29(s264)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30439,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s264) | xuntil2p30(s264) | (~until2p29(s264)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30440,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s264) | xuntil2p30(s264) | (~until2p29(s264))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30439, 30438])).
% 6.98/5.64 tff(30441,plain,
% 6.98/5.64 (xuntil2p30(s264) | (~until2p29(s264))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30440, 30068, 29557])).
% 6.98/5.64 tff(30442,plain,
% 6.98/5.64 (~until2p29(s264)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30441, 30437])).
% 6.98/5.64 tff(30443,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s263, s264)) | until2p29(s264) | (~xuntil2p30(s263)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s263, s264)) | until2p29(s264) | (~xuntil2p30(s263)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30444,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s263, s264)) | until2p29(s264) | (~xuntil2p30(s263)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30445,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s263, s264)) | until2p29(s264) | (~xuntil2p30(s263))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30444, 30443])).
% 6.98/5.64 tff(30446,plain,
% 6.98/5.64 (until2p29(s264) | (~xuntil2p30(s263))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30445, 21227, 30083])).
% 6.98/5.64 tff(30447,plain,
% 6.98/5.64 (~xuntil2p30(s263)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30446, 30442])).
% 6.98/5.64 tff(30448,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s263) | xuntil2p30(s263) | (~until2p29(s263)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s263) | xuntil2p30(s263) | (~until2p29(s263)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30449,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s263) | xuntil2p30(s263) | (~until2p29(s263)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30450,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s263) | xuntil2p30(s263) | (~until2p29(s263))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30449, 30448])).
% 6.98/5.64 tff(30451,plain,
% 6.98/5.64 (xuntil2p30(s263) | (~until2p29(s263))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30450, 30068, 24089])).
% 6.98/5.64 tff(30452,plain,
% 6.98/5.64 (~until2p29(s263)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30451, 30447])).
% 6.98/5.64 tff(30453,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s262, s263)) | until2p29(s263) | (~xuntil2p30(s262)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s262, s263)) | until2p29(s263) | (~xuntil2p30(s262)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30454,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s262, s263)) | until2p29(s263) | (~xuntil2p30(s262)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30455,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s262, s263)) | until2p29(s263) | (~xuntil2p30(s262))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 6.98/5.64 tff(30456,plain,
% 6.98/5.64 (until2p29(s263) | (~xuntil2p30(s262))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30455, 21149, 30083])).
% 6.98/5.64 tff(30457,plain,
% 6.98/5.64 (~xuntil2p30(s262)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30456, 30452])).
% 6.98/5.64 tff(30458,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s262) | xuntil2p30(s262) | (~until2p29(s262)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s262) | xuntil2p30(s262) | (~until2p29(s262)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30459,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s262) | xuntil2p30(s262) | (~until2p29(s262)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30460,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s262) | xuntil2p30(s262) | (~until2p29(s262))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30459, 30458])).
% 6.98/5.64 tff(30461,plain,
% 6.98/5.64 (xuntil2p30(s262) | (~until2p29(s262))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30460, 30068, 24098])).
% 6.98/5.64 tff(30462,plain,
% 6.98/5.64 (~until2p29(s262)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30461, 30457])).
% 6.98/5.64 tff(30463,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s261, s262)) | until2p29(s262) | (~xuntil2p30(s261)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s261, s262)) | until2p29(s262) | (~xuntil2p30(s261)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30464,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s261, s262)) | until2p29(s262) | (~xuntil2p30(s261)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30465,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s261, s262)) | until2p29(s262) | (~xuntil2p30(s261))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30464, 30463])).
% 6.98/5.64 tff(30466,plain,
% 6.98/5.64 (until2p29(s262) | (~xuntil2p30(s261))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30465, 21050, 30083])).
% 6.98/5.64 tff(30467,plain,
% 6.98/5.64 (~xuntil2p30(s261)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30466, 30462])).
% 6.98/5.64 tff(30468,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s261) | xuntil2p30(s261) | (~until2p29(s261)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s261) | xuntil2p30(s261) | (~until2p29(s261)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30469,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s261) | xuntil2p30(s261) | (~until2p29(s261)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30470,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s261) | xuntil2p30(s261) | (~until2p29(s261))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30469, 30468])).
% 6.98/5.64 tff(30471,plain,
% 6.98/5.64 (xuntil2p30(s261) | (~until2p29(s261))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30470, 30068, 24102])).
% 6.98/5.64 tff(30472,plain,
% 6.98/5.64 (~until2p29(s261)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30471, 30467])).
% 6.98/5.64 tff(30473,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s260, s261)) | until2p29(s261) | (~xuntil2p30(s260)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s260, s261)) | until2p29(s261) | (~xuntil2p30(s260)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30474,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s260, s261)) | until2p29(s261) | (~xuntil2p30(s260)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30475,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s260, s261)) | until2p29(s261) | (~xuntil2p30(s260))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30474, 30473])).
% 6.98/5.64 tff(30476,plain,
% 6.98/5.64 (until2p29(s261) | (~xuntil2p30(s260))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30475, 20983, 30083])).
% 6.98/5.64 tff(30477,plain,
% 6.98/5.64 (~xuntil2p30(s260)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30476, 30472])).
% 6.98/5.64 tff(30478,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s260) | xuntil2p30(s260) | (~until2p29(s260)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s260) | xuntil2p30(s260) | (~until2p29(s260)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30479,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s260) | xuntil2p30(s260) | (~until2p29(s260)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30480,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s260) | xuntil2p30(s260) | (~until2p29(s260))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 6.98/5.64 tff(30481,plain,
% 6.98/5.64 (xuntil2p30(s260) | (~until2p29(s260))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30480, 30068, 29503])).
% 6.98/5.64 tff(30482,plain,
% 6.98/5.64 (~until2p29(s260)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30481, 30477])).
% 6.98/5.64 tff(30483,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s259, s260)) | until2p29(s260) | (~xuntil2p30(s259)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s259, s260)) | until2p29(s260) | (~xuntil2p30(s259)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30484,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s259, s260)) | until2p29(s260) | (~xuntil2p30(s259)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30485,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s259, s260)) | until2p29(s260) | (~xuntil2p30(s259))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30484, 30483])).
% 6.98/5.64 tff(30486,plain,
% 6.98/5.64 (until2p29(s260) | (~xuntil2p30(s259))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30485, 20894, 30083])).
% 6.98/5.64 tff(30487,plain,
% 6.98/5.64 (~xuntil2p30(s259)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30486, 30482])).
% 6.98/5.64 tff(30488,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s259) | xuntil2p30(s259) | (~until2p29(s259)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s259) | xuntil2p30(s259) | (~until2p29(s259)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30489,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s259) | xuntil2p30(s259) | (~until2p29(s259)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30490,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s259) | xuntil2p30(s259) | (~until2p29(s259))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 6.98/5.64 tff(30491,plain,
% 6.98/5.64 (xuntil2p30(s259) | (~until2p29(s259))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30490, 30068, 24118])).
% 6.98/5.64 tff(30492,plain,
% 6.98/5.64 (~until2p29(s259)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30491, 30487])).
% 6.98/5.64 tff(30493,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s258, s259)) | until2p29(s259) | (~xuntil2p30(s258)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s258, s259)) | until2p29(s259) | (~xuntil2p30(s258)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30494,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s258, s259)) | until2p29(s259) | (~xuntil2p30(s258)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30495,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s258, s259)) | until2p29(s259) | (~xuntil2p30(s258))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 6.98/5.64 tff(30496,plain,
% 6.98/5.64 (until2p29(s259) | (~xuntil2p30(s258))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30495, 20819, 30083])).
% 6.98/5.64 tff(30497,plain,
% 6.98/5.64 (~xuntil2p30(s258)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30496, 30492])).
% 6.98/5.64 tff(30498,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s258) | xuntil2p30(s258) | (~until2p29(s258)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s258) | xuntil2p30(s258) | (~until2p29(s258)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30499,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s258) | xuntil2p30(s258) | (~until2p29(s258)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30500,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s258) | xuntil2p30(s258) | (~until2p29(s258))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30499, 30498])).
% 6.98/5.64 tff(30501,plain,
% 6.98/5.64 (xuntil2p30(s258) | (~until2p29(s258))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30500, 30068, 24127])).
% 6.98/5.64 tff(30502,plain,
% 6.98/5.64 (~until2p29(s258)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30501, 30497])).
% 6.98/5.64 tff(30503,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s257, s258)) | until2p29(s258) | (~xuntil2p30(s257)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s257, s258)) | until2p29(s258) | (~xuntil2p30(s257)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30504,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s257, s258)) | until2p29(s258) | (~xuntil2p30(s257)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30505,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s257, s258)) | until2p29(s258) | (~xuntil2p30(s257))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30504, 30503])).
% 6.98/5.64 tff(30506,plain,
% 6.98/5.64 (until2p29(s258) | (~xuntil2p30(s257))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30505, 20755, 30083])).
% 6.98/5.64 tff(30507,plain,
% 6.98/5.64 (~xuntil2p30(s257)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30506, 30502])).
% 6.98/5.64 tff(30508,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s257) | xuntil2p30(s257) | (~until2p29(s257)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s257) | xuntil2p30(s257) | (~until2p29(s257)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30509,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s257) | xuntil2p30(s257) | (~until2p29(s257)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30510,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s257) | xuntil2p30(s257) | (~until2p29(s257))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30509, 30508])).
% 6.98/5.64 tff(30511,plain,
% 6.98/5.64 (xuntil2p30(s257) | (~until2p29(s257))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30510, 30068, 24131])).
% 6.98/5.64 tff(30512,plain,
% 6.98/5.64 (~until2p29(s257)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30511, 30507])).
% 6.98/5.64 tff(30513,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s256, s257)) | until2p29(s257) | (~xuntil2p30(s256)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s256, s257)) | until2p29(s257) | (~xuntil2p30(s256)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30514,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s256, s257)) | until2p29(s257) | (~xuntil2p30(s256)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30515,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s256, s257)) | until2p29(s257) | (~xuntil2p30(s256))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 6.98/5.64 tff(30516,plain,
% 6.98/5.64 (until2p29(s257) | (~xuntil2p30(s256))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30515, 20660, 30083])).
% 6.98/5.64 tff(30517,plain,
% 6.98/5.64 (~xuntil2p30(s256)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30516, 30512])).
% 6.98/5.64 tff(30518,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s256) | xuntil2p30(s256) | (~until2p29(s256)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s256) | xuntil2p30(s256) | (~until2p29(s256)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30519,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s256) | xuntil2p30(s256) | (~until2p29(s256)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30520,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s256) | xuntil2p30(s256) | (~until2p29(s256))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30519, 30518])).
% 6.98/5.64 tff(30521,plain,
% 6.98/5.64 (xuntil2p30(s256) | (~until2p29(s256))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30520, 30068, 29449])).
% 6.98/5.64 tff(30522,plain,
% 6.98/5.64 (~until2p29(s256)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30521, 30517])).
% 6.98/5.64 tff(30523,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s255, s256)) | until2p29(s256) | (~xuntil2p30(s255)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s255, s256)) | until2p29(s256) | (~xuntil2p30(s255)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30524,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s255, s256)) | until2p29(s256) | (~xuntil2p30(s255)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30525,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s255, s256)) | until2p29(s256) | (~xuntil2p30(s255))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 6.98/5.64 tff(30526,plain,
% 6.98/5.64 (until2p29(s256) | (~xuntil2p30(s255))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30525, 20599, 30083])).
% 6.98/5.64 tff(30527,plain,
% 6.98/5.64 (~xuntil2p30(s255)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30526, 30522])).
% 6.98/5.64 tff(30528,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s255) | xuntil2p30(s255) | (~until2p29(s255)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s255) | xuntil2p30(s255) | (~until2p29(s255)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30529,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s255) | xuntil2p30(s255) | (~until2p29(s255)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30530,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s255) | xuntil2p30(s255) | (~until2p29(s255))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 6.98/5.64 tff(30531,plain,
% 6.98/5.64 (xuntil2p30(s255) | (~until2p29(s255))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30530, 30068, 24147])).
% 6.98/5.64 tff(30532,plain,
% 6.98/5.64 (~until2p29(s255)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30531, 30527])).
% 6.98/5.64 tff(30533,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s254, s255)) | until2p29(s255) | (~xuntil2p30(s254)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s254, s255)) | until2p29(s255) | (~xuntil2p30(s254)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30534,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s254, s255)) | until2p29(s255) | (~xuntil2p30(s254)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30535,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s254, s255)) | until2p29(s255) | (~xuntil2p30(s254))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30534, 30533])).
% 6.98/5.64 tff(30536,plain,
% 6.98/5.64 (until2p29(s255) | (~xuntil2p30(s254))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30535, 20521, 30083])).
% 6.98/5.64 tff(30537,plain,
% 6.98/5.64 (~xuntil2p30(s254)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30536, 30532])).
% 6.98/5.64 tff(30538,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s254) | xuntil2p30(s254) | (~until2p29(s254)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s254) | xuntil2p30(s254) | (~until2p29(s254)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30539,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s254) | xuntil2p30(s254) | (~until2p29(s254)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30540,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s254) | xuntil2p30(s254) | (~until2p29(s254))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30539, 30538])).
% 6.98/5.64 tff(30541,plain,
% 6.98/5.64 (xuntil2p30(s254) | (~until2p29(s254))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30540, 30068, 24156])).
% 6.98/5.64 tff(30542,plain,
% 6.98/5.64 (~until2p29(s254)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30541, 30537])).
% 6.98/5.64 tff(30543,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s253, s254)) | until2p29(s254) | (~xuntil2p30(s253)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s253, s254)) | until2p29(s254) | (~xuntil2p30(s253)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30544,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s253, s254)) | until2p29(s254) | (~xuntil2p30(s253)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30545,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s253, s254)) | until2p29(s254) | (~xuntil2p30(s253))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30544, 30543])).
% 6.98/5.64 tff(30546,plain,
% 6.98/5.64 (until2p29(s254) | (~xuntil2p30(s253))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30545, 20422, 30083])).
% 6.98/5.64 tff(30547,plain,
% 6.98/5.64 (~xuntil2p30(s253)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30546, 30542])).
% 6.98/5.64 tff(30548,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s253) | xuntil2p30(s253) | (~until2p29(s253)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s253) | xuntil2p30(s253) | (~until2p29(s253)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30549,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s253) | xuntil2p30(s253) | (~until2p29(s253)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30550,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s253) | xuntil2p30(s253) | (~until2p29(s253))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 6.98/5.64 tff(30551,plain,
% 6.98/5.64 (xuntil2p30(s253) | (~until2p29(s253))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30550, 30068, 24160])).
% 6.98/5.64 tff(30552,plain,
% 6.98/5.64 (~until2p29(s253)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30551, 30547])).
% 6.98/5.64 tff(30553,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s252, s253)) | until2p29(s253) | (~xuntil2p30(s252)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s252, s253)) | until2p29(s253) | (~xuntil2p30(s252)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30554,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s252, s253)) | until2p29(s253) | (~xuntil2p30(s252)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30555,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s252, s253)) | until2p29(s253) | (~xuntil2p30(s252))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30554, 30553])).
% 6.98/5.64 tff(30556,plain,
% 6.98/5.64 (until2p29(s253) | (~xuntil2p30(s252))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30555, 20355, 30083])).
% 6.98/5.64 tff(30557,plain,
% 6.98/5.64 (~xuntil2p30(s252)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30556, 30552])).
% 6.98/5.64 tff(30558,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s252) | xuntil2p30(s252) | (~until2p29(s252)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s252) | xuntil2p30(s252) | (~until2p29(s252)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30559,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s252) | xuntil2p30(s252) | (~until2p29(s252)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30560,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s252) | xuntil2p30(s252) | (~until2p29(s252))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30559, 30558])).
% 6.98/5.64 tff(30561,plain,
% 6.98/5.64 (xuntil2p30(s252) | (~until2p29(s252))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30560, 30068, 29395])).
% 6.98/5.64 tff(30562,plain,
% 6.98/5.64 (~until2p29(s252)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30561, 30557])).
% 6.98/5.64 tff(30563,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s251, s252)) | until2p29(s252) | (~xuntil2p30(s251)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s251, s252)) | until2p29(s252) | (~xuntil2p30(s251)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30564,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s251, s252)) | until2p29(s252) | (~xuntil2p30(s251)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30565,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s251, s252)) | until2p29(s252) | (~xuntil2p30(s251))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30564, 30563])).
% 6.98/5.64 tff(30566,plain,
% 6.98/5.64 (until2p29(s252) | (~xuntil2p30(s251))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30565, 20266, 30083])).
% 6.98/5.64 tff(30567,plain,
% 6.98/5.64 (~xuntil2p30(s251)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30566, 30562])).
% 6.98/5.64 tff(30568,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s251) | xuntil2p30(s251) | (~until2p29(s251)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s251) | xuntil2p30(s251) | (~until2p29(s251)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30569,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s251) | xuntil2p30(s251) | (~until2p29(s251)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30570,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s251) | xuntil2p30(s251) | (~until2p29(s251))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 6.98/5.64 tff(30571,plain,
% 6.98/5.64 (xuntil2p30(s251) | (~until2p29(s251))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30570, 30068, 24176])).
% 6.98/5.64 tff(30572,plain,
% 6.98/5.64 (~until2p29(s251)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30571, 30567])).
% 6.98/5.64 tff(30573,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s250, s251)) | until2p29(s251) | (~xuntil2p30(s250)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s250, s251)) | until2p29(s251) | (~xuntil2p30(s250)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30574,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s250, s251)) | until2p29(s251) | (~xuntil2p30(s250)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30575,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s250, s251)) | until2p29(s251) | (~xuntil2p30(s250))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30574, 30573])).
% 6.98/5.64 tff(30576,plain,
% 6.98/5.64 (until2p29(s251) | (~xuntil2p30(s250))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30575, 20191, 30083])).
% 6.98/5.64 tff(30577,plain,
% 6.98/5.64 (~xuntil2p30(s250)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30576, 30572])).
% 6.98/5.64 tff(30578,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s250) | xuntil2p30(s250) | (~until2p29(s250)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s250) | xuntil2p30(s250) | (~until2p29(s250)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30579,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s250) | xuntil2p30(s250) | (~until2p29(s250)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30580,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s250) | xuntil2p30(s250) | (~until2p29(s250))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 6.98/5.64 tff(30581,plain,
% 6.98/5.64 (xuntil2p30(s250) | (~until2p29(s250))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30580, 30068, 24185])).
% 6.98/5.64 tff(30582,plain,
% 6.98/5.64 (~until2p29(s250)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30581, 30577])).
% 6.98/5.64 tff(30583,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s249, s250)) | until2p29(s250) | (~xuntil2p30(s249)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s249, s250)) | until2p29(s250) | (~xuntil2p30(s249)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30584,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s249, s250)) | until2p29(s250) | (~xuntil2p30(s249)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30585,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s249, s250)) | until2p29(s250) | (~xuntil2p30(s249))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 6.98/5.64 tff(30586,plain,
% 6.98/5.64 (until2p29(s250) | (~xuntil2p30(s249))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30585, 20127, 30083])).
% 6.98/5.64 tff(30587,plain,
% 6.98/5.64 (~xuntil2p30(s249)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30586, 30582])).
% 6.98/5.64 tff(30588,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s249) | xuntil2p30(s249) | (~until2p29(s249)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s249) | xuntil2p30(s249) | (~until2p29(s249)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30589,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s249) | xuntil2p30(s249) | (~until2p29(s249)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30590,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s249) | xuntil2p30(s249) | (~until2p29(s249))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30589, 30588])).
% 6.98/5.64 tff(30591,plain,
% 6.98/5.64 (xuntil2p30(s249) | (~until2p29(s249))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30590, 30068, 24189])).
% 6.98/5.64 tff(30592,plain,
% 6.98/5.64 (~until2p29(s249)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30591, 30587])).
% 6.98/5.64 tff(30593,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s248, s249)) | until2p29(s249) | (~xuntil2p30(s248)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s248, s249)) | until2p29(s249) | (~xuntil2p30(s248)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30594,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s248, s249)) | until2p29(s249) | (~xuntil2p30(s248)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30595,plain,
% 6.98/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s248, s249)) | until2p29(s249) | (~xuntil2p30(s248))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30594, 30593])).
% 6.98/5.64 tff(30596,plain,
% 6.98/5.64 (until2p29(s249) | (~xuntil2p30(s248))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30595, 20032, 30083])).
% 6.98/5.64 tff(30597,plain,
% 6.98/5.64 (~xuntil2p30(s248)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30596, 30592])).
% 6.98/5.64 tff(30598,plain,
% 6.98/5.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s248) | xuntil2p30(s248) | (~until2p29(s248)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s248) | xuntil2p30(s248) | (~until2p29(s248)))),
% 6.98/5.64 inference(rewrite,[status(thm)],[])).
% 6.98/5.64 tff(30599,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s248) | xuntil2p30(s248) | (~until2p29(s248)))),
% 6.98/5.64 inference(quant_inst,[status(thm)],[])).
% 6.98/5.64 tff(30600,plain,
% 6.98/5.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s248) | xuntil2p30(s248) | (~until2p29(s248))),
% 6.98/5.64 inference(modus_ponens,[status(thm)],[30599, 30598])).
% 6.98/5.64 tff(30601,plain,
% 6.98/5.64 (xuntil2p30(s248) | (~until2p29(s248))),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30600, 30068, 29341])).
% 6.98/5.64 tff(30602,plain,
% 6.98/5.64 (~until2p29(s248)),
% 6.98/5.64 inference(unit_resolution,[status(thm)],[30601, 30597])).
% 6.98/5.64 tff(30603,plain,
% 6.98/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s247, s248)) | until2p29(s248) | (~xuntil2p30(s247)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s247, s248)) | until2p29(s248) | (~xuntil2p30(s247)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30604,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s247, s248)) | until2p29(s248) | (~xuntil2p30(s247)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30605,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s247, s248)) | until2p29(s248) | (~xuntil2p30(s247))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 6.98/5.65 tff(30606,plain,
% 6.98/5.65 (until2p29(s248) | (~xuntil2p30(s247))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30605, 19971, 30083])).
% 6.98/5.65 tff(30607,plain,
% 6.98/5.65 (~xuntil2p30(s247)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30606, 30602])).
% 6.98/5.65 tff(30608,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s247) | xuntil2p30(s247) | (~until2p29(s247)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s247) | xuntil2p30(s247) | (~until2p29(s247)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30609,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s247) | xuntil2p30(s247) | (~until2p29(s247)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30610,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s247) | xuntil2p30(s247) | (~until2p29(s247))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30609, 30608])).
% 6.98/5.65 tff(30611,plain,
% 6.98/5.65 (xuntil2p30(s247) | (~until2p29(s247))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30610, 30068, 24205])).
% 6.98/5.65 tff(30612,plain,
% 6.98/5.65 (~until2p29(s247)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30611, 30607])).
% 6.98/5.65 tff(30613,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s246, s247)) | until2p29(s247) | (~xuntil2p30(s246)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s246, s247)) | until2p29(s247) | (~xuntil2p30(s246)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30614,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s246, s247)) | until2p29(s247) | (~xuntil2p30(s246)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30615,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s246, s247)) | until2p29(s247) | (~xuntil2p30(s246))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 6.98/5.65 tff(30616,plain,
% 6.98/5.65 (until2p29(s247) | (~xuntil2p30(s246))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30615, 19893, 30083])).
% 6.98/5.65 tff(30617,plain,
% 6.98/5.65 (~xuntil2p30(s246)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30616, 30612])).
% 6.98/5.65 tff(30618,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s246) | xuntil2p30(s246) | (~until2p29(s246)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s246) | xuntil2p30(s246) | (~until2p29(s246)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30619,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s246) | xuntil2p30(s246) | (~until2p29(s246)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30620,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s246) | xuntil2p30(s246) | (~until2p29(s246))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 6.98/5.65 tff(30621,plain,
% 6.98/5.65 (xuntil2p30(s246) | (~until2p29(s246))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30620, 30068, 24214])).
% 6.98/5.65 tff(30622,plain,
% 6.98/5.65 (~until2p29(s246)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30621, 30617])).
% 6.98/5.65 tff(30623,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s245, s246)) | until2p29(s246) | (~xuntil2p30(s245)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s245, s246)) | until2p29(s246) | (~xuntil2p30(s245)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30624,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s245, s246)) | until2p29(s246) | (~xuntil2p30(s245)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30625,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s245, s246)) | until2p29(s246) | (~xuntil2p30(s245))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 6.98/5.65 tff(30626,plain,
% 6.98/5.65 (until2p29(s246) | (~xuntil2p30(s245))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30625, 19794, 30083])).
% 6.98/5.65 tff(30627,plain,
% 6.98/5.65 (~xuntil2p30(s245)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30626, 30622])).
% 6.98/5.65 tff(30628,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s245) | xuntil2p30(s245) | (~until2p29(s245)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s245) | xuntil2p30(s245) | (~until2p29(s245)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30629,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s245) | xuntil2p30(s245) | (~until2p29(s245)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30630,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s245) | xuntil2p30(s245) | (~until2p29(s245))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30629, 30628])).
% 6.98/5.65 tff(30631,plain,
% 6.98/5.65 (xuntil2p30(s245) | (~until2p29(s245))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30630, 30068, 24218])).
% 6.98/5.65 tff(30632,plain,
% 6.98/5.65 (~until2p29(s245)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30631, 30627])).
% 6.98/5.65 tff(30633,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s244, s245)) | until2p29(s245) | (~xuntil2p30(s244)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s244, s245)) | until2p29(s245) | (~xuntil2p30(s244)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30634,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s244, s245)) | until2p29(s245) | (~xuntil2p30(s244)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30635,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s244, s245)) | until2p29(s245) | (~xuntil2p30(s244))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30634, 30633])).
% 6.98/5.65 tff(30636,plain,
% 6.98/5.65 (until2p29(s245) | (~xuntil2p30(s244))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30635, 19727, 30083])).
% 6.98/5.65 tff(30637,plain,
% 6.98/5.65 (~xuntil2p30(s244)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30636, 30632])).
% 6.98/5.65 tff(30638,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s244) | xuntil2p30(s244) | (~until2p29(s244)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s244) | xuntil2p30(s244) | (~until2p29(s244)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30639,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s244) | xuntil2p30(s244) | (~until2p29(s244)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30640,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s244) | xuntil2p30(s244) | (~until2p29(s244))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 6.98/5.65 tff(30641,plain,
% 6.98/5.65 (xuntil2p30(s244) | (~until2p29(s244))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30640, 30068, 29287])).
% 6.98/5.65 tff(30642,plain,
% 6.98/5.65 (~until2p29(s244)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30641, 30637])).
% 6.98/5.65 tff(30643,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s243, s244)) | until2p29(s244) | (~xuntil2p30(s243)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s243, s244)) | until2p29(s244) | (~xuntil2p30(s243)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30644,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s243, s244)) | until2p29(s244) | (~xuntil2p30(s243)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30645,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s243, s244)) | until2p29(s244) | (~xuntil2p30(s243))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30644, 30643])).
% 6.98/5.65 tff(30646,plain,
% 6.98/5.65 (until2p29(s244) | (~xuntil2p30(s243))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30645, 19638, 30083])).
% 6.98/5.65 tff(30647,plain,
% 6.98/5.65 (~xuntil2p30(s243)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30646, 30642])).
% 6.98/5.65 tff(30648,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s243) | xuntil2p30(s243) | (~until2p29(s243)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s243) | xuntil2p30(s243) | (~until2p29(s243)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30649,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s243) | xuntil2p30(s243) | (~until2p29(s243)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30650,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s243) | xuntil2p30(s243) | (~until2p29(s243))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 6.98/5.65 tff(30651,plain,
% 6.98/5.65 (xuntil2p30(s243) | (~until2p29(s243))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30650, 30068, 24234])).
% 6.98/5.65 tff(30652,plain,
% 6.98/5.65 (~until2p29(s243)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30651, 30647])).
% 6.98/5.65 tff(30653,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s242, s243)) | until2p29(s243) | (~xuntil2p30(s242)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s242, s243)) | until2p29(s243) | (~xuntil2p30(s242)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30654,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s242, s243)) | until2p29(s243) | (~xuntil2p30(s242)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30655,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s242, s243)) | until2p29(s243) | (~xuntil2p30(s242))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30654, 30653])).
% 6.98/5.65 tff(30656,plain,
% 6.98/5.65 (until2p29(s243) | (~xuntil2p30(s242))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30655, 19563, 30083])).
% 6.98/5.65 tff(30657,plain,
% 6.98/5.65 (~xuntil2p30(s242)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30656, 30652])).
% 6.98/5.65 tff(30658,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s242) | xuntil2p30(s242) | (~until2p29(s242)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s242) | xuntil2p30(s242) | (~until2p29(s242)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30659,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s242) | xuntil2p30(s242) | (~until2p29(s242)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30660,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s242) | xuntil2p30(s242) | (~until2p29(s242))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 6.98/5.65 tff(30661,plain,
% 6.98/5.65 (xuntil2p30(s242) | (~until2p29(s242))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30660, 30068, 24243])).
% 6.98/5.65 tff(30662,plain,
% 6.98/5.65 (~until2p29(s242)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30661, 30657])).
% 6.98/5.65 tff(30663,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s241, s242)) | until2p29(s242) | (~xuntil2p30(s241)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s241, s242)) | until2p29(s242) | (~xuntil2p30(s241)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30664,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s241, s242)) | until2p29(s242) | (~xuntil2p30(s241)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30665,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s241, s242)) | until2p29(s242) | (~xuntil2p30(s241))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 6.98/5.65 tff(30666,plain,
% 6.98/5.65 (until2p29(s242) | (~xuntil2p30(s241))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30665, 19499, 30083])).
% 6.98/5.65 tff(30667,plain,
% 6.98/5.65 (~xuntil2p30(s241)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30666, 30662])).
% 6.98/5.65 tff(30668,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s241) | xuntil2p30(s241) | (~until2p29(s241)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s241) | xuntil2p30(s241) | (~until2p29(s241)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30669,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s241) | xuntil2p30(s241) | (~until2p29(s241)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30670,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s241) | xuntil2p30(s241) | (~until2p29(s241))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30669, 30668])).
% 6.98/5.65 tff(30671,plain,
% 6.98/5.65 (xuntil2p30(s241) | (~until2p29(s241))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30670, 30068, 24247])).
% 6.98/5.65 tff(30672,plain,
% 6.98/5.65 (~until2p29(s241)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30671, 30667])).
% 6.98/5.65 tff(30673,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s240, s241)) | until2p29(s241) | (~xuntil2p30(s240)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s240, s241)) | until2p29(s241) | (~xuntil2p30(s240)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30674,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s240, s241)) | until2p29(s241) | (~xuntil2p30(s240)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30675,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s240, s241)) | until2p29(s241) | (~xuntil2p30(s240))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 6.98/5.65 tff(30676,plain,
% 6.98/5.65 (until2p29(s241) | (~xuntil2p30(s240))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30675, 19404, 30083])).
% 6.98/5.65 tff(30677,plain,
% 6.98/5.65 (~xuntil2p30(s240)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30676, 30672])).
% 6.98/5.65 tff(30678,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s240) | xuntil2p30(s240) | (~until2p29(s240)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s240) | xuntil2p30(s240) | (~until2p29(s240)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30679,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s240) | xuntil2p30(s240) | (~until2p29(s240)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30680,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s240) | xuntil2p30(s240) | (~until2p29(s240))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 6.98/5.65 tff(30681,plain,
% 6.98/5.65 (xuntil2p30(s240) | (~until2p29(s240))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30680, 30068, 29233])).
% 6.98/5.65 tff(30682,plain,
% 6.98/5.65 (~until2p29(s240)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30681, 30677])).
% 6.98/5.65 tff(30683,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s239, s240)) | until2p29(s240) | (~xuntil2p30(s239)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s239, s240)) | until2p29(s240) | (~xuntil2p30(s239)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30684,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s239, s240)) | until2p29(s240) | (~xuntil2p30(s239)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30685,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s239, s240)) | until2p29(s240) | (~xuntil2p30(s239))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30684, 30683])).
% 6.98/5.65 tff(30686,plain,
% 6.98/5.65 (until2p29(s240) | (~xuntil2p30(s239))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30685, 19343, 30083])).
% 6.98/5.65 tff(30687,plain,
% 6.98/5.65 (~xuntil2p30(s239)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30686, 30682])).
% 6.98/5.65 tff(30688,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s239) | xuntil2p30(s239) | (~until2p29(s239)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s239) | xuntil2p30(s239) | (~until2p29(s239)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30689,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s239) | xuntil2p30(s239) | (~until2p29(s239)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30690,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s239) | xuntil2p30(s239) | (~until2p29(s239))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30689, 30688])).
% 6.98/5.65 tff(30691,plain,
% 6.98/5.65 (xuntil2p30(s239) | (~until2p29(s239))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30690, 30068, 24263])).
% 6.98/5.65 tff(30692,plain,
% 6.98/5.65 (~until2p29(s239)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30691, 30687])).
% 6.98/5.65 tff(30693,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s238, s239)) | until2p29(s239) | (~xuntil2p30(s238)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s238, s239)) | until2p29(s239) | (~xuntil2p30(s238)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30694,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s238, s239)) | until2p29(s239) | (~xuntil2p30(s238)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30695,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s238, s239)) | until2p29(s239) | (~xuntil2p30(s238))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30694, 30693])).
% 6.98/5.65 tff(30696,plain,
% 6.98/5.65 (until2p29(s239) | (~xuntil2p30(s238))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30695, 19265, 30083])).
% 6.98/5.65 tff(30697,plain,
% 6.98/5.65 (~xuntil2p30(s238)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30696, 30692])).
% 6.98/5.65 tff(30698,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s238) | xuntil2p30(s238) | (~until2p29(s238)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s238) | xuntil2p30(s238) | (~until2p29(s238)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30699,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s238) | xuntil2p30(s238) | (~until2p29(s238)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30700,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s238) | xuntil2p30(s238) | (~until2p29(s238))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30699, 30698])).
% 6.98/5.65 tff(30701,plain,
% 6.98/5.65 (xuntil2p30(s238) | (~until2p29(s238))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30700, 30068, 24272])).
% 6.98/5.65 tff(30702,plain,
% 6.98/5.65 (~until2p29(s238)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30701, 30697])).
% 6.98/5.65 tff(30703,assumption,(xuntil28(s299)), introduced(assumption)).
% 6.98/5.65 tff(30704,assumption,(~until2p29(s238)), introduced(assumption)).
% 6.98/5.65 tff(30705,assumption,(trans(s299, s238)), introduced(assumption)).
% 6.98/5.65 tff(30706,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30707,plain,
% 6.98/5.65 (((~trans(s299, s238)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s238)) <=> (until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30708,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238))))),
% 6.98/5.65 inference(monotonicity,[status(thm)],[30707])).
% 6.98/5.65 tff(30709,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238)))),
% 6.98/5.65 inference(transitivity,[status(thm)],[30708, 30706])).
% 6.98/5.65 tff(30710,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s238))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30711,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s238) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s238))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30710, 30709])).
% 6.98/5.65 tff(30712,plain,
% 6.98/5.65 ($false),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30711, 30054, 30705, 30252, 30704, 30703])).
% 6.98/5.65 tff(30713,plain,((~trans(s299, s238)) | until2p29(s238) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 6.98/5.65 tff(30714,plain,
% 6.98/5.65 (~trans(s299, s238)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30713, 30702, 30043])).
% 6.98/5.65 tff(30715,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s237, s238)) | until2p29(s238) | (~xuntil2p30(s237)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s237, s238)) | until2p29(s238) | (~xuntil2p30(s237)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30716,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s237, s238)) | until2p29(s238) | (~xuntil2p30(s237)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30717,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s237, s238)) | until2p29(s238) | (~xuntil2p30(s237))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 6.98/5.65 tff(30718,plain,
% 6.98/5.65 (until2p29(s238) | (~xuntil2p30(s237))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30717, 19166, 30083])).
% 6.98/5.65 tff(30719,plain,
% 6.98/5.65 (~xuntil2p30(s237)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30718, 30702])).
% 6.98/5.65 tff(30720,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s237) | xuntil2p30(s237) | (~until2p29(s237)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s237) | xuntil2p30(s237) | (~until2p29(s237)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30721,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s237) | xuntil2p30(s237) | (~until2p29(s237)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30722,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s237) | xuntil2p30(s237) | (~until2p29(s237))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 6.98/5.65 tff(30723,plain,
% 6.98/5.65 (xuntil2p30(s237) | (~until2p29(s237))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30722, 30068, 24276])).
% 6.98/5.65 tff(30724,plain,
% 6.98/5.65 (~until2p29(s237)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30723, 30719])).
% 6.98/5.65 tff(30725,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s236, s237)) | until2p29(s237) | (~xuntil2p30(s236)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s236, s237)) | until2p29(s237) | (~xuntil2p30(s236)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30726,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s236, s237)) | until2p29(s237) | (~xuntil2p30(s236)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30727,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s236, s237)) | until2p29(s237) | (~xuntil2p30(s236))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30726, 30725])).
% 6.98/5.65 tff(30728,plain,
% 6.98/5.65 (until2p29(s237) | (~xuntil2p30(s236))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30727, 19099, 30083])).
% 6.98/5.65 tff(30729,plain,
% 6.98/5.65 (~xuntil2p30(s236)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30728, 30724])).
% 6.98/5.65 tff(30730,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s236) | xuntil2p30(s236) | (~until2p29(s236)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s236) | xuntil2p30(s236) | (~until2p29(s236)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30731,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s236) | xuntil2p30(s236) | (~until2p29(s236)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30732,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s236) | xuntil2p30(s236) | (~until2p29(s236))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30731, 30730])).
% 6.98/5.65 tff(30733,plain,
% 6.98/5.65 (xuntil2p30(s236) | (~until2p29(s236))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30732, 30068, 29179])).
% 6.98/5.65 tff(30734,plain,
% 6.98/5.65 (~until2p29(s236)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30733, 30729])).
% 6.98/5.65 tff(30735,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s235, s236)) | until2p29(s236) | (~xuntil2p30(s235)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s235, s236)) | until2p29(s236) | (~xuntil2p30(s235)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30736,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s235, s236)) | until2p29(s236) | (~xuntil2p30(s235)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30737,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s235, s236)) | until2p29(s236) | (~xuntil2p30(s235))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 6.98/5.65 tff(30738,plain,
% 6.98/5.65 (until2p29(s236) | (~xuntil2p30(s235))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30737, 19010, 30083])).
% 6.98/5.65 tff(30739,plain,
% 6.98/5.65 (~xuntil2p30(s235)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30738, 30734])).
% 6.98/5.65 tff(30740,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s235) | xuntil2p30(s235) | (~until2p29(s235)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s235) | xuntil2p30(s235) | (~until2p29(s235)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30741,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s235) | xuntil2p30(s235) | (~until2p29(s235)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30742,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s235) | xuntil2p30(s235) | (~until2p29(s235))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30741, 30740])).
% 6.98/5.65 tff(30743,plain,
% 6.98/5.65 (xuntil2p30(s235) | (~until2p29(s235))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30742, 30068, 24292])).
% 6.98/5.65 tff(30744,plain,
% 6.98/5.65 (~until2p29(s235)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30743, 30739])).
% 6.98/5.65 tff(30745,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s234, s235)) | until2p29(s235) | (~xuntil2p30(s234)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s234, s235)) | until2p29(s235) | (~xuntil2p30(s234)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30746,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s234, s235)) | until2p29(s235) | (~xuntil2p30(s234)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30747,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s234, s235)) | until2p29(s235) | (~xuntil2p30(s234))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30746, 30745])).
% 6.98/5.65 tff(30748,plain,
% 6.98/5.65 (until2p29(s235) | (~xuntil2p30(s234))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30747, 18935, 30083])).
% 6.98/5.65 tff(30749,plain,
% 6.98/5.65 (~xuntil2p30(s234)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30748, 30744])).
% 6.98/5.65 tff(30750,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s234) | xuntil2p30(s234) | (~until2p29(s234)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s234) | xuntil2p30(s234) | (~until2p29(s234)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30751,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s234) | xuntil2p30(s234) | (~until2p29(s234)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30752,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s234) | xuntil2p30(s234) | (~until2p29(s234))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30751, 30750])).
% 6.98/5.65 tff(30753,plain,
% 6.98/5.65 (xuntil2p30(s234) | (~until2p29(s234))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30752, 30068, 24301])).
% 6.98/5.65 tff(30754,plain,
% 6.98/5.65 (~until2p29(s234)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30753, 30749])).
% 6.98/5.65 tff(30755,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s233, s234)) | until2p29(s234) | (~xuntil2p30(s233)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s233, s234)) | until2p29(s234) | (~xuntil2p30(s233)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30756,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s233, s234)) | until2p29(s234) | (~xuntil2p30(s233)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30757,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s233, s234)) | until2p29(s234) | (~xuntil2p30(s233))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30756, 30755])).
% 6.98/5.65 tff(30758,plain,
% 6.98/5.65 (until2p29(s234) | (~xuntil2p30(s233))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30757, 18871, 30083])).
% 6.98/5.65 tff(30759,plain,
% 6.98/5.65 (~xuntil2p30(s233)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30758, 30754])).
% 6.98/5.65 tff(30760,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s233) | xuntil2p30(s233) | (~until2p29(s233)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s233) | xuntil2p30(s233) | (~until2p29(s233)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30761,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s233) | xuntil2p30(s233) | (~until2p29(s233)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30762,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s233) | xuntil2p30(s233) | (~until2p29(s233))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 6.98/5.65 tff(30763,plain,
% 6.98/5.65 (xuntil2p30(s233) | (~until2p29(s233))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30762, 30068, 24305])).
% 6.98/5.65 tff(30764,plain,
% 6.98/5.65 (~until2p29(s233)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30763, 30759])).
% 6.98/5.65 tff(30765,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s232, s233)) | until2p29(s233) | (~xuntil2p30(s232)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s232, s233)) | until2p29(s233) | (~xuntil2p30(s232)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30766,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s232, s233)) | until2p29(s233) | (~xuntil2p30(s232)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30767,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s232, s233)) | until2p29(s233) | (~xuntil2p30(s232))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30766, 30765])).
% 6.98/5.65 tff(30768,plain,
% 6.98/5.65 (until2p29(s233) | (~xuntil2p30(s232))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30767, 18776, 30083])).
% 6.98/5.65 tff(30769,plain,
% 6.98/5.65 (~xuntil2p30(s232)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30768, 30764])).
% 6.98/5.65 tff(30770,plain,
% 6.98/5.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s232) | xuntil2p30(s232) | (~until2p29(s232)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s232) | xuntil2p30(s232) | (~until2p29(s232)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30771,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s232) | xuntil2p30(s232) | (~until2p29(s232)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30772,plain,
% 6.98/5.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s232) | xuntil2p30(s232) | (~until2p29(s232))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 6.98/5.65 tff(30773,plain,
% 6.98/5.65 (xuntil2p30(s232) | (~until2p29(s232))),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30772, 30068, 29125])).
% 6.98/5.65 tff(30774,plain,
% 6.98/5.65 (~until2p29(s232)),
% 6.98/5.65 inference(unit_resolution,[status(thm)],[30773, 30769])).
% 6.98/5.65 tff(30775,plain,
% 6.98/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s231, s232)) | until2p29(s232) | (~xuntil2p30(s231)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s231, s232)) | until2p29(s232) | (~xuntil2p30(s231)))),
% 6.98/5.65 inference(rewrite,[status(thm)],[])).
% 6.98/5.65 tff(30776,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s231, s232)) | until2p29(s232) | (~xuntil2p30(s231)))),
% 6.98/5.65 inference(quant_inst,[status(thm)],[])).
% 6.98/5.65 tff(30777,plain,
% 6.98/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s231, s232)) | until2p29(s232) | (~xuntil2p30(s231))),
% 6.98/5.65 inference(modus_ponens,[status(thm)],[30776, 30775])).
% 6.98/5.65 tff(30778,plain,
% 6.98/5.65 (until2p29(s232) | (~xuntil2p30(s231))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30777, 18715, 30083])).
% 6.98/5.66 tff(30779,plain,
% 6.98/5.66 (~xuntil2p30(s231)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30778, 30774])).
% 6.98/5.66 tff(30780,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s231) | xuntil2p30(s231) | (~until2p29(s231)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s231) | xuntil2p30(s231) | (~until2p29(s231)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30781,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s231) | xuntil2p30(s231) | (~until2p29(s231)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30782,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s231) | xuntil2p30(s231) | (~until2p29(s231))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30781, 30780])).
% 6.98/5.66 tff(30783,plain,
% 6.98/5.66 (xuntil2p30(s231) | (~until2p29(s231))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30782, 30068, 24321])).
% 6.98/5.66 tff(30784,plain,
% 6.98/5.66 (~until2p29(s231)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30783, 30779])).
% 6.98/5.66 tff(30785,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s230, s231)) | until2p29(s231) | (~xuntil2p30(s230)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s230, s231)) | until2p29(s231) | (~xuntil2p30(s230)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30786,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s230, s231)) | until2p29(s231) | (~xuntil2p30(s230)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30787,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s230, s231)) | until2p29(s231) | (~xuntil2p30(s230))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30786, 30785])).
% 6.98/5.66 tff(30788,plain,
% 6.98/5.66 (until2p29(s231) | (~xuntil2p30(s230))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30787, 18637, 30083])).
% 6.98/5.66 tff(30789,plain,
% 6.98/5.66 (~xuntil2p30(s230)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30788, 30784])).
% 6.98/5.66 tff(30790,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s230) | xuntil2p30(s230) | (~until2p29(s230)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s230) | xuntil2p30(s230) | (~until2p29(s230)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30791,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s230) | xuntil2p30(s230) | (~until2p29(s230)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30792,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s230) | xuntil2p30(s230) | (~until2p29(s230))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 6.98/5.66 tff(30793,plain,
% 6.98/5.66 (xuntil2p30(s230) | (~until2p29(s230))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30792, 30068, 24330])).
% 6.98/5.66 tff(30794,plain,
% 6.98/5.66 (~until2p29(s230)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30793, 30789])).
% 6.98/5.66 tff(30795,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s229, s230)) | until2p29(s230) | (~xuntil2p30(s229)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s229, s230)) | until2p29(s230) | (~xuntil2p30(s229)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30796,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s229, s230)) | until2p29(s230) | (~xuntil2p30(s229)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30797,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s229, s230)) | until2p29(s230) | (~xuntil2p30(s229))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30796, 30795])).
% 6.98/5.66 tff(30798,plain,
% 6.98/5.66 (until2p29(s230) | (~xuntil2p30(s229))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30797, 18538, 30083])).
% 6.98/5.66 tff(30799,plain,
% 6.98/5.66 (~xuntil2p30(s229)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30798, 30794])).
% 6.98/5.66 tff(30800,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s229) | xuntil2p30(s229) | (~until2p29(s229)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s229) | xuntil2p30(s229) | (~until2p29(s229)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30801,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s229) | xuntil2p30(s229) | (~until2p29(s229)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30802,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s229) | xuntil2p30(s229) | (~until2p29(s229))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30801, 30800])).
% 6.98/5.66 tff(30803,plain,
% 6.98/5.66 (xuntil2p30(s229) | (~until2p29(s229))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30802, 30068, 24334])).
% 6.98/5.66 tff(30804,plain,
% 6.98/5.66 (~until2p29(s229)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30803, 30799])).
% 6.98/5.66 tff(30805,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s228, s229)) | until2p29(s229) | (~xuntil2p30(s228)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s228, s229)) | until2p29(s229) | (~xuntil2p30(s228)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30806,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s228, s229)) | until2p29(s229) | (~xuntil2p30(s228)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30807,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s228, s229)) | until2p29(s229) | (~xuntil2p30(s228))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30806, 30805])).
% 6.98/5.66 tff(30808,plain,
% 6.98/5.66 (until2p29(s229) | (~xuntil2p30(s228))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30807, 18471, 30083])).
% 6.98/5.66 tff(30809,plain,
% 6.98/5.66 (~xuntil2p30(s228)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30808, 30804])).
% 6.98/5.66 tff(30810,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s228) | xuntil2p30(s228) | (~until2p29(s228)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s228) | xuntil2p30(s228) | (~until2p29(s228)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30811,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s228) | xuntil2p30(s228) | (~until2p29(s228)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30812,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s228) | xuntil2p30(s228) | (~until2p29(s228))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30811, 30810])).
% 6.98/5.66 tff(30813,plain,
% 6.98/5.66 (xuntil2p30(s228) | (~until2p29(s228))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30812, 30068, 29071])).
% 6.98/5.66 tff(30814,plain,
% 6.98/5.66 (~until2p29(s228)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30813, 30809])).
% 6.98/5.66 tff(30815,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s227, s228)) | until2p29(s228) | (~xuntil2p30(s227)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s227, s228)) | until2p29(s228) | (~xuntil2p30(s227)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30816,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s227, s228)) | until2p29(s228) | (~xuntil2p30(s227)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30817,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s227, s228)) | until2p29(s228) | (~xuntil2p30(s227))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 6.98/5.66 tff(30818,plain,
% 6.98/5.66 (until2p29(s228) | (~xuntil2p30(s227))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30817, 18382, 30083])).
% 6.98/5.66 tff(30819,plain,
% 6.98/5.66 (~xuntil2p30(s227)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30818, 30814])).
% 6.98/5.66 tff(30820,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s227) | xuntil2p30(s227) | (~until2p29(s227)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s227) | xuntil2p30(s227) | (~until2p29(s227)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30821,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s227) | xuntil2p30(s227) | (~until2p29(s227)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30822,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s227) | xuntil2p30(s227) | (~until2p29(s227))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30821, 30820])).
% 6.98/5.66 tff(30823,plain,
% 6.98/5.66 (xuntil2p30(s227) | (~until2p29(s227))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30822, 30068, 24350])).
% 6.98/5.66 tff(30824,plain,
% 6.98/5.66 (~until2p29(s227)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30823, 30819])).
% 6.98/5.66 tff(30825,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s226, s227)) | until2p29(s227) | (~xuntil2p30(s226)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s226, s227)) | until2p29(s227) | (~xuntil2p30(s226)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30826,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s226, s227)) | until2p29(s227) | (~xuntil2p30(s226)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30827,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s226, s227)) | until2p29(s227) | (~xuntil2p30(s226))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 6.98/5.66 tff(30828,plain,
% 6.98/5.66 (until2p29(s227) | (~xuntil2p30(s226))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30827, 18307, 30083])).
% 6.98/5.66 tff(30829,plain,
% 6.98/5.66 (~xuntil2p30(s226)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30828, 30824])).
% 6.98/5.66 tff(30830,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s226) | xuntil2p30(s226) | (~until2p29(s226)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s226) | xuntil2p30(s226) | (~until2p29(s226)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30831,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s226) | xuntil2p30(s226) | (~until2p29(s226)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30832,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s226) | xuntil2p30(s226) | (~until2p29(s226))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 6.98/5.66 tff(30833,plain,
% 6.98/5.66 (xuntil2p30(s226) | (~until2p29(s226))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30832, 30068, 24359])).
% 6.98/5.66 tff(30834,plain,
% 6.98/5.66 (~until2p29(s226)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30833, 30829])).
% 6.98/5.66 tff(30835,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s225, s226)) | until2p29(s226) | (~xuntil2p30(s225)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s225, s226)) | until2p29(s226) | (~xuntil2p30(s225)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30836,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s225, s226)) | until2p29(s226) | (~xuntil2p30(s225)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30837,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s225, s226)) | until2p29(s226) | (~xuntil2p30(s225))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 6.98/5.66 tff(30838,plain,
% 6.98/5.66 (until2p29(s226) | (~xuntil2p30(s225))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30837, 18243, 30083])).
% 6.98/5.66 tff(30839,plain,
% 6.98/5.66 (~xuntil2p30(s225)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30838, 30834])).
% 6.98/5.66 tff(30840,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s225) | xuntil2p30(s225) | (~until2p29(s225)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s225) | xuntil2p30(s225) | (~until2p29(s225)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30841,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s225) | xuntil2p30(s225) | (~until2p29(s225)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30842,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s225) | xuntil2p30(s225) | (~until2p29(s225))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30841, 30840])).
% 6.98/5.66 tff(30843,plain,
% 6.98/5.66 (xuntil2p30(s225) | (~until2p29(s225))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30842, 30068, 24363])).
% 6.98/5.66 tff(30844,plain,
% 6.98/5.66 (~until2p29(s225)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30843, 30839])).
% 6.98/5.66 tff(30845,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s224, s225)) | until2p29(s225) | (~xuntil2p30(s224)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s224, s225)) | until2p29(s225) | (~xuntil2p30(s224)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30846,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s224, s225)) | until2p29(s225) | (~xuntil2p30(s224)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30847,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s224, s225)) | until2p29(s225) | (~xuntil2p30(s224))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 6.98/5.66 tff(30848,plain,
% 6.98/5.66 (until2p29(s225) | (~xuntil2p30(s224))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30847, 18148, 30083])).
% 6.98/5.66 tff(30849,plain,
% 6.98/5.66 (~xuntil2p30(s224)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30848, 30844])).
% 6.98/5.66 tff(30850,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s224) | xuntil2p30(s224) | (~until2p29(s224)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s224) | xuntil2p30(s224) | (~until2p29(s224)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30851,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s224) | xuntil2p30(s224) | (~until2p29(s224)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30852,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s224) | xuntil2p30(s224) | (~until2p29(s224))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30851, 30850])).
% 6.98/5.66 tff(30853,plain,
% 6.98/5.66 (xuntil2p30(s224) | (~until2p29(s224))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30852, 30068, 29017])).
% 6.98/5.66 tff(30854,plain,
% 6.98/5.66 (~until2p29(s224)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30853, 30849])).
% 6.98/5.66 tff(30855,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s223, s224)) | until2p29(s224) | (~xuntil2p30(s223)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s223, s224)) | until2p29(s224) | (~xuntil2p30(s223)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30856,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s223, s224)) | until2p29(s224) | (~xuntil2p30(s223)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30857,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s223, s224)) | until2p29(s224) | (~xuntil2p30(s223))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 6.98/5.66 tff(30858,plain,
% 6.98/5.66 (until2p29(s224) | (~xuntil2p30(s223))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30857, 18087, 30083])).
% 6.98/5.66 tff(30859,plain,
% 6.98/5.66 (~xuntil2p30(s223)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30858, 30854])).
% 6.98/5.66 tff(30860,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s223) | xuntil2p30(s223) | (~until2p29(s223)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s223) | xuntil2p30(s223) | (~until2p29(s223)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30861,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s223) | xuntil2p30(s223) | (~until2p29(s223)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30862,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s223) | xuntil2p30(s223) | (~until2p29(s223))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 6.98/5.66 tff(30863,plain,
% 6.98/5.66 (xuntil2p30(s223) | (~until2p29(s223))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30862, 30068, 24379])).
% 6.98/5.66 tff(30864,plain,
% 6.98/5.66 (~until2p29(s223)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30863, 30859])).
% 6.98/5.66 tff(30865,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s222, s223)) | until2p29(s223) | (~xuntil2p30(s222)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s222, s223)) | until2p29(s223) | (~xuntil2p30(s222)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30866,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s222, s223)) | until2p29(s223) | (~xuntil2p30(s222)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30867,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s222, s223)) | until2p29(s223) | (~xuntil2p30(s222))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30866, 30865])).
% 6.98/5.66 tff(30868,plain,
% 6.98/5.66 (until2p29(s223) | (~xuntil2p30(s222))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30867, 18009, 30083])).
% 6.98/5.66 tff(30869,plain,
% 6.98/5.66 (~xuntil2p30(s222)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30868, 30864])).
% 6.98/5.66 tff(30870,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s222) | xuntil2p30(s222) | (~until2p29(s222)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s222) | xuntil2p30(s222) | (~until2p29(s222)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30871,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s222) | xuntil2p30(s222) | (~until2p29(s222)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30872,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s222) | xuntil2p30(s222) | (~until2p29(s222))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30871, 30870])).
% 6.98/5.66 tff(30873,plain,
% 6.98/5.66 (xuntil2p30(s222) | (~until2p29(s222))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30872, 30068, 24388])).
% 6.98/5.66 tff(30874,plain,
% 6.98/5.66 (~until2p29(s222)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30873, 30869])).
% 6.98/5.66 tff(30875,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s221, s222)) | until2p29(s222) | (~xuntil2p30(s221)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s221, s222)) | until2p29(s222) | (~xuntil2p30(s221)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30876,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s221, s222)) | until2p29(s222) | (~xuntil2p30(s221)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30877,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s221, s222)) | until2p29(s222) | (~xuntil2p30(s221))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30876, 30875])).
% 6.98/5.66 tff(30878,plain,
% 6.98/5.66 (until2p29(s222) | (~xuntil2p30(s221))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30877, 17910, 30083])).
% 6.98/5.66 tff(30879,plain,
% 6.98/5.66 (~xuntil2p30(s221)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30878, 30874])).
% 6.98/5.66 tff(30880,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s221) | xuntil2p30(s221) | (~until2p29(s221)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s221) | xuntil2p30(s221) | (~until2p29(s221)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30881,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s221) | xuntil2p30(s221) | (~until2p29(s221)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30882,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s221) | xuntil2p30(s221) | (~until2p29(s221))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30881, 30880])).
% 6.98/5.66 tff(30883,plain,
% 6.98/5.66 (xuntil2p30(s221) | (~until2p29(s221))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30882, 30068, 24392])).
% 6.98/5.66 tff(30884,plain,
% 6.98/5.66 (~until2p29(s221)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30883, 30879])).
% 6.98/5.66 tff(30885,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s220, s221)) | until2p29(s221) | (~xuntil2p30(s220)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s220, s221)) | until2p29(s221) | (~xuntil2p30(s220)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30886,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s220, s221)) | until2p29(s221) | (~xuntil2p30(s220)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30887,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s220, s221)) | until2p29(s221) | (~xuntil2p30(s220))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30886, 30885])).
% 6.98/5.66 tff(30888,plain,
% 6.98/5.66 (until2p29(s221) | (~xuntil2p30(s220))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30887, 17843, 30083])).
% 6.98/5.66 tff(30889,plain,
% 6.98/5.66 (~xuntil2p30(s220)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30888, 30884])).
% 6.98/5.66 tff(30890,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s220) | xuntil2p30(s220) | (~until2p29(s220)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s220) | xuntil2p30(s220) | (~until2p29(s220)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30891,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s220) | xuntil2p30(s220) | (~until2p29(s220)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30892,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s220) | xuntil2p30(s220) | (~until2p29(s220))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 6.98/5.66 tff(30893,plain,
% 6.98/5.66 (xuntil2p30(s220) | (~until2p29(s220))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30892, 30068, 28963])).
% 6.98/5.66 tff(30894,plain,
% 6.98/5.66 (~until2p29(s220)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30893, 30889])).
% 6.98/5.66 tff(30895,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s219, s220)) | until2p29(s220) | (~xuntil2p30(s219)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s219, s220)) | until2p29(s220) | (~xuntil2p30(s219)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30896,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s219, s220)) | until2p29(s220) | (~xuntil2p30(s219)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30897,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s219, s220)) | until2p29(s220) | (~xuntil2p30(s219))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 6.98/5.66 tff(30898,plain,
% 6.98/5.66 (until2p29(s220) | (~xuntil2p30(s219))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30897, 17754, 30083])).
% 6.98/5.66 tff(30899,plain,
% 6.98/5.66 (~xuntil2p30(s219)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30898, 30894])).
% 6.98/5.66 tff(30900,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s219) | xuntil2p30(s219) | (~until2p29(s219)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s219) | xuntil2p30(s219) | (~until2p29(s219)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30901,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s219) | xuntil2p30(s219) | (~until2p29(s219)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30902,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s219) | xuntil2p30(s219) | (~until2p29(s219))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30901, 30900])).
% 6.98/5.66 tff(30903,plain,
% 6.98/5.66 (xuntil2p30(s219) | (~until2p29(s219))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30902, 30068, 24408])).
% 6.98/5.66 tff(30904,plain,
% 6.98/5.66 (~until2p29(s219)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30903, 30899])).
% 6.98/5.66 tff(30905,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s218, s219)) | until2p29(s219) | (~xuntil2p30(s218)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s218, s219)) | until2p29(s219) | (~xuntil2p30(s218)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30906,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s218, s219)) | until2p29(s219) | (~xuntil2p30(s218)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30907,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s218, s219)) | until2p29(s219) | (~xuntil2p30(s218))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 6.98/5.66 tff(30908,plain,
% 6.98/5.66 (until2p29(s219) | (~xuntil2p30(s218))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30907, 17679, 30083])).
% 6.98/5.66 tff(30909,plain,
% 6.98/5.66 (~xuntil2p30(s218)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30908, 30904])).
% 6.98/5.66 tff(30910,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s218) | xuntil2p30(s218) | (~until2p29(s218)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s218) | xuntil2p30(s218) | (~until2p29(s218)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30911,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s218) | xuntil2p30(s218) | (~until2p29(s218)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30912,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s218) | xuntil2p30(s218) | (~until2p29(s218))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30911, 30910])).
% 6.98/5.66 tff(30913,plain,
% 6.98/5.66 (xuntil2p30(s218) | (~until2p29(s218))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30912, 30068, 24417])).
% 6.98/5.66 tff(30914,plain,
% 6.98/5.66 (~until2p29(s218)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30913, 30909])).
% 6.98/5.66 tff(30915,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s217, s218)) | until2p29(s218) | (~xuntil2p30(s217)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s217, s218)) | until2p29(s218) | (~xuntil2p30(s217)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30916,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s217, s218)) | until2p29(s218) | (~xuntil2p30(s217)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30917,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s217, s218)) | until2p29(s218) | (~xuntil2p30(s217))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 6.98/5.66 tff(30918,plain,
% 6.98/5.66 (until2p29(s218) | (~xuntil2p30(s217))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30917, 17615, 30083])).
% 6.98/5.66 tff(30919,plain,
% 6.98/5.66 (~xuntil2p30(s217)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30918, 30914])).
% 6.98/5.66 tff(30920,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s217) | xuntil2p30(s217) | (~until2p29(s217)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s217) | xuntil2p30(s217) | (~until2p29(s217)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30921,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s217) | xuntil2p30(s217) | (~until2p29(s217)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30922,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s217) | xuntil2p30(s217) | (~until2p29(s217))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30921, 30920])).
% 6.98/5.66 tff(30923,plain,
% 6.98/5.66 (xuntil2p30(s217) | (~until2p29(s217))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30922, 30068, 24421])).
% 6.98/5.66 tff(30924,plain,
% 6.98/5.66 (~until2p29(s217)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30923, 30919])).
% 6.98/5.66 tff(30925,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s216, s217)) | until2p29(s217) | (~xuntil2p30(s216)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s216, s217)) | until2p29(s217) | (~xuntil2p30(s216)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30926,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s216, s217)) | until2p29(s217) | (~xuntil2p30(s216)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30927,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s216, s217)) | until2p29(s217) | (~xuntil2p30(s216))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30926, 30925])).
% 6.98/5.66 tff(30928,plain,
% 6.98/5.66 (until2p29(s217) | (~xuntil2p30(s216))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30927, 17520, 30083])).
% 6.98/5.66 tff(30929,plain,
% 6.98/5.66 (~xuntil2p30(s216)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30928, 30924])).
% 6.98/5.66 tff(30930,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s216) | xuntil2p30(s216) | (~until2p29(s216)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s216) | xuntil2p30(s216) | (~until2p29(s216)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30931,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s216) | xuntil2p30(s216) | (~until2p29(s216)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30932,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s216) | xuntil2p30(s216) | (~until2p29(s216))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 6.98/5.66 tff(30933,plain,
% 6.98/5.66 (xuntil2p30(s216) | (~until2p29(s216))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30932, 30068, 28909])).
% 6.98/5.66 tff(30934,plain,
% 6.98/5.66 (~until2p29(s216)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30933, 30929])).
% 6.98/5.66 tff(30935,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s215, s216)) | until2p29(s216) | (~xuntil2p30(s215)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s215, s216)) | until2p29(s216) | (~xuntil2p30(s215)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30936,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s215, s216)) | until2p29(s216) | (~xuntil2p30(s215)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30937,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s215, s216)) | until2p29(s216) | (~xuntil2p30(s215))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30936, 30935])).
% 6.98/5.66 tff(30938,plain,
% 6.98/5.66 (until2p29(s216) | (~xuntil2p30(s215))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30937, 17459, 30083])).
% 6.98/5.66 tff(30939,plain,
% 6.98/5.66 (~xuntil2p30(s215)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30938, 30934])).
% 6.98/5.66 tff(30940,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s215) | xuntil2p30(s215) | (~until2p29(s215)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s215) | xuntil2p30(s215) | (~until2p29(s215)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30941,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s215) | xuntil2p30(s215) | (~until2p29(s215)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30942,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s215) | xuntil2p30(s215) | (~until2p29(s215))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 6.98/5.66 tff(30943,plain,
% 6.98/5.66 (xuntil2p30(s215) | (~until2p29(s215))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30942, 30068, 24437])).
% 6.98/5.66 tff(30944,plain,
% 6.98/5.66 (~until2p29(s215)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30943, 30939])).
% 6.98/5.66 tff(30945,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s214, s215)) | until2p29(s215) | (~xuntil2p30(s214)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s214, s215)) | until2p29(s215) | (~xuntil2p30(s214)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30946,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s214, s215)) | until2p29(s215) | (~xuntil2p30(s214)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30947,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s214, s215)) | until2p29(s215) | (~xuntil2p30(s214))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30946, 30945])).
% 6.98/5.66 tff(30948,plain,
% 6.98/5.66 (until2p29(s215) | (~xuntil2p30(s214))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30947, 17381, 30083])).
% 6.98/5.66 tff(30949,plain,
% 6.98/5.66 (~xuntil2p30(s214)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30948, 30944])).
% 6.98/5.66 tff(30950,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s214) | xuntil2p30(s214) | (~until2p29(s214)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s214) | xuntil2p30(s214) | (~until2p29(s214)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30951,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s214) | xuntil2p30(s214) | (~until2p29(s214)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30952,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s214) | xuntil2p30(s214) | (~until2p29(s214))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30951, 30950])).
% 6.98/5.66 tff(30953,plain,
% 6.98/5.66 (xuntil2p30(s214) | (~until2p29(s214))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30952, 30068, 24446])).
% 6.98/5.66 tff(30954,plain,
% 6.98/5.66 (~until2p29(s214)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30953, 30949])).
% 6.98/5.66 tff(30955,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s213, s214)) | until2p29(s214) | (~xuntil2p30(s213)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s213, s214)) | until2p29(s214) | (~xuntil2p30(s213)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30956,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s213, s214)) | until2p29(s214) | (~xuntil2p30(s213)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30957,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s213, s214)) | until2p29(s214) | (~xuntil2p30(s213))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 6.98/5.66 tff(30958,plain,
% 6.98/5.66 (until2p29(s214) | (~xuntil2p30(s213))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30957, 17282, 30083])).
% 6.98/5.66 tff(30959,plain,
% 6.98/5.66 (~xuntil2p30(s213)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30958, 30954])).
% 6.98/5.66 tff(30960,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s213) | xuntil2p30(s213) | (~until2p29(s213)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s213) | xuntil2p30(s213) | (~until2p29(s213)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30961,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s213) | xuntil2p30(s213) | (~until2p29(s213)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30962,plain,
% 6.98/5.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s213) | xuntil2p30(s213) | (~until2p29(s213))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30961, 30960])).
% 6.98/5.66 tff(30963,plain,
% 6.98/5.66 (xuntil2p30(s213) | (~until2p29(s213))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30962, 30068, 24450])).
% 6.98/5.66 tff(30964,plain,
% 6.98/5.66 (~until2p29(s213)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30963, 30959])).
% 6.98/5.66 tff(30965,plain,
% 6.98/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s212, s213)) | until2p29(s213) | (~xuntil2p30(s212)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s212, s213)) | until2p29(s213) | (~xuntil2p30(s212)))),
% 6.98/5.66 inference(rewrite,[status(thm)],[])).
% 6.98/5.66 tff(30966,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s212, s213)) | until2p29(s213) | (~xuntil2p30(s212)))),
% 6.98/5.66 inference(quant_inst,[status(thm)],[])).
% 6.98/5.66 tff(30967,plain,
% 6.98/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s212, s213)) | until2p29(s213) | (~xuntil2p30(s212))),
% 6.98/5.66 inference(modus_ponens,[status(thm)],[30966, 30965])).
% 6.98/5.66 tff(30968,plain,
% 6.98/5.66 (until2p29(s213) | (~xuntil2p30(s212))),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30967, 17215, 30083])).
% 6.98/5.66 tff(30969,plain,
% 6.98/5.66 (~xuntil2p30(s212)),
% 6.98/5.66 inference(unit_resolution,[status(thm)],[30968, 30964])).
% 6.98/5.66 tff(30970,plain,
% 6.98/5.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s212) | xuntil2p30(s212) | (~until2p29(s212)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s212) | xuntil2p30(s212) | (~until2p29(s212)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30971,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s212) | xuntil2p30(s212) | (~until2p29(s212)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30972,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s212) | xuntil2p30(s212) | (~until2p29(s212))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30971, 30970])).
% 6.98/5.67 tff(30973,plain,
% 6.98/5.67 (xuntil2p30(s212) | (~until2p29(s212))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30972, 30068, 28855])).
% 6.98/5.67 tff(30974,plain,
% 6.98/5.67 (~until2p29(s212)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30973, 30969])).
% 6.98/5.67 tff(30975,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s211, s212)) | until2p29(s212) | (~xuntil2p30(s211)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s211, s212)) | until2p29(s212) | (~xuntil2p30(s211)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30976,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s211, s212)) | until2p29(s212) | (~xuntil2p30(s211)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30977,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s211, s212)) | until2p29(s212) | (~xuntil2p30(s211))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30976, 30975])).
% 6.98/5.67 tff(30978,plain,
% 6.98/5.67 (until2p29(s212) | (~xuntil2p30(s211))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30977, 17126, 30083])).
% 6.98/5.67 tff(30979,plain,
% 6.98/5.67 (~xuntil2p30(s211)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30978, 30974])).
% 6.98/5.67 tff(30980,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s211) | xuntil2p30(s211) | (~until2p29(s211)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s211) | xuntil2p30(s211) | (~until2p29(s211)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30981,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s211) | xuntil2p30(s211) | (~until2p29(s211)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30982,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s211) | xuntil2p30(s211) | (~until2p29(s211))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 6.98/5.67 tff(30983,plain,
% 6.98/5.67 (xuntil2p30(s211) | (~until2p29(s211))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30982, 30068, 24466])).
% 6.98/5.67 tff(30984,plain,
% 6.98/5.67 (~until2p29(s211)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30983, 30979])).
% 6.98/5.67 tff(30985,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s210, s211)) | until2p29(s211) | (~xuntil2p30(s210)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s210, s211)) | until2p29(s211) | (~xuntil2p30(s210)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30986,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s210, s211)) | until2p29(s211) | (~xuntil2p30(s210)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30987,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s210, s211)) | until2p29(s211) | (~xuntil2p30(s210))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 6.98/5.67 tff(30988,plain,
% 6.98/5.67 (until2p29(s211) | (~xuntil2p30(s210))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30987, 17051, 30083])).
% 6.98/5.67 tff(30989,plain,
% 6.98/5.67 (~xuntil2p30(s210)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30988, 30984])).
% 6.98/5.67 tff(30990,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s210) | xuntil2p30(s210) | (~until2p29(s210)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s210) | xuntil2p30(s210) | (~until2p29(s210)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30991,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s210) | xuntil2p30(s210) | (~until2p29(s210)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30992,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s210) | xuntil2p30(s210) | (~until2p29(s210))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 6.98/5.67 tff(30993,plain,
% 6.98/5.67 (xuntil2p30(s210) | (~until2p29(s210))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30992, 30068, 24475])).
% 6.98/5.67 tff(30994,plain,
% 6.98/5.67 (~until2p29(s210)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30993, 30989])).
% 6.98/5.67 tff(30995,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s209, s210)) | until2p29(s210) | (~xuntil2p30(s209)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s209, s210)) | until2p29(s210) | (~xuntil2p30(s209)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(30996,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s209, s210)) | until2p29(s210) | (~xuntil2p30(s209)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(30997,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s209, s210)) | until2p29(s210) | (~xuntil2p30(s209))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 6.98/5.67 tff(30998,plain,
% 6.98/5.67 (until2p29(s210) | (~xuntil2p30(s209))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30997, 16987, 30083])).
% 6.98/5.67 tff(30999,plain,
% 6.98/5.67 (~xuntil2p30(s209)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[30998, 30994])).
% 6.98/5.67 tff(31000,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s209) | xuntil2p30(s209) | (~until2p29(s209)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s209) | xuntil2p30(s209) | (~until2p29(s209)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31001,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s209) | xuntil2p30(s209) | (~until2p29(s209)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31002,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s209) | xuntil2p30(s209) | (~until2p29(s209))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31001, 31000])).
% 6.98/5.67 tff(31003,plain,
% 6.98/5.67 (xuntil2p30(s209) | (~until2p29(s209))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31002, 30068, 24479])).
% 6.98/5.67 tff(31004,plain,
% 6.98/5.67 (~until2p29(s209)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31003, 30999])).
% 6.98/5.67 tff(31005,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s208, s209)) | until2p29(s209) | (~xuntil2p30(s208)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s208, s209)) | until2p29(s209) | (~xuntil2p30(s208)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31006,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s208, s209)) | until2p29(s209) | (~xuntil2p30(s208)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31007,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s208, s209)) | until2p29(s209) | (~xuntil2p30(s208))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31006, 31005])).
% 6.98/5.67 tff(31008,plain,
% 6.98/5.67 (until2p29(s209) | (~xuntil2p30(s208))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31007, 16892, 30083])).
% 6.98/5.67 tff(31009,plain,
% 6.98/5.67 (~xuntil2p30(s208)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31008, 31004])).
% 6.98/5.67 tff(31010,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s208) | xuntil2p30(s208) | (~until2p29(s208)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s208) | xuntil2p30(s208) | (~until2p29(s208)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31011,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s208) | xuntil2p30(s208) | (~until2p29(s208)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31012,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s208) | xuntil2p30(s208) | (~until2p29(s208))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31011, 31010])).
% 6.98/5.67 tff(31013,plain,
% 6.98/5.67 (xuntil2p30(s208) | (~until2p29(s208))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31012, 30068, 28801])).
% 6.98/5.67 tff(31014,plain,
% 6.98/5.67 (~until2p29(s208)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31013, 31009])).
% 6.98/5.67 tff(31015,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s207, s208)) | until2p29(s208) | (~xuntil2p30(s207)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s207, s208)) | until2p29(s208) | (~xuntil2p30(s207)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31016,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s207, s208)) | until2p29(s208) | (~xuntil2p30(s207)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31017,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s207, s208)) | until2p29(s208) | (~xuntil2p30(s207))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31016, 31015])).
% 6.98/5.67 tff(31018,plain,
% 6.98/5.67 (until2p29(s208) | (~xuntil2p30(s207))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31017, 16831, 30083])).
% 6.98/5.67 tff(31019,plain,
% 6.98/5.67 (~xuntil2p30(s207)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31018, 31014])).
% 6.98/5.67 tff(31020,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s207) | xuntil2p30(s207) | (~until2p29(s207)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s207) | xuntil2p30(s207) | (~until2p29(s207)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31021,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s207) | xuntil2p30(s207) | (~until2p29(s207)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31022,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s207) | xuntil2p30(s207) | (~until2p29(s207))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 6.98/5.67 tff(31023,plain,
% 6.98/5.67 (xuntil2p30(s207) | (~until2p29(s207))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31022, 30068, 24495])).
% 6.98/5.67 tff(31024,plain,
% 6.98/5.67 (~until2p29(s207)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31023, 31019])).
% 6.98/5.67 tff(31025,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s206, s207)) | until2p29(s207) | (~xuntil2p30(s206)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s206, s207)) | until2p29(s207) | (~xuntil2p30(s206)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31026,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s206, s207)) | until2p29(s207) | (~xuntil2p30(s206)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31027,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s206, s207)) | until2p29(s207) | (~xuntil2p30(s206))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 6.98/5.67 tff(31028,plain,
% 6.98/5.67 (until2p29(s207) | (~xuntil2p30(s206))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31027, 16753, 30083])).
% 6.98/5.67 tff(31029,plain,
% 6.98/5.67 (~xuntil2p30(s206)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31028, 31024])).
% 6.98/5.67 tff(31030,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s206) | xuntil2p30(s206) | (~until2p29(s206)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s206) | xuntil2p30(s206) | (~until2p29(s206)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31031,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s206) | xuntil2p30(s206) | (~until2p29(s206)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31032,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s206) | xuntil2p30(s206) | (~until2p29(s206))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 6.98/5.67 tff(31033,plain,
% 6.98/5.67 (xuntil2p30(s206) | (~until2p29(s206))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31032, 30068, 24504])).
% 6.98/5.67 tff(31034,plain,
% 6.98/5.67 (~until2p29(s206)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31033, 31029])).
% 6.98/5.67 tff(31035,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s205, s206)) | until2p29(s206) | (~xuntil2p30(s205)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s205, s206)) | until2p29(s206) | (~xuntil2p30(s205)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31036,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s205, s206)) | until2p29(s206) | (~xuntil2p30(s205)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31037,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s205, s206)) | until2p29(s206) | (~xuntil2p30(s205))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31036, 31035])).
% 6.98/5.67 tff(31038,plain,
% 6.98/5.67 (until2p29(s206) | (~xuntil2p30(s205))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31037, 16654, 30083])).
% 6.98/5.67 tff(31039,plain,
% 6.98/5.67 (~xuntil2p30(s205)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31038, 31034])).
% 6.98/5.67 tff(31040,plain,
% 6.98/5.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s205) | xuntil2p30(s205) | (~until2p29(s205)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s205) | xuntil2p30(s205) | (~until2p29(s205)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31041,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s205) | xuntil2p30(s205) | (~until2p29(s205)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31042,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s205) | xuntil2p30(s205) | (~until2p29(s205))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 6.98/5.67 tff(31043,plain,
% 6.98/5.67 (xuntil2p30(s205) | (~until2p29(s205))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31042, 30068, 24508])).
% 6.98/5.67 tff(31044,plain,
% 6.98/5.67 (~until2p29(s205)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31043, 31039])).
% 6.98/5.67 tff(31045,plain,
% 6.98/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s204, s205)) | until2p29(s205) | (~xuntil2p30(s204)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s204, s205)) | until2p29(s205) | (~xuntil2p30(s204)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31046,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s204, s205)) | until2p29(s205) | (~xuntil2p30(s204)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31047,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s204, s205)) | until2p29(s205) | (~xuntil2p30(s204))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31046, 31045])).
% 6.98/5.67 tff(31048,plain,
% 6.98/5.67 (until2p29(s205) | (~xuntil2p30(s204))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31047, 16587, 30083])).
% 6.98/5.67 tff(31049,plain,
% 6.98/5.67 (~xuntil2p30(s204)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31048, 31044])).
% 6.98/5.67 tff(31050,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31051,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s204) | xuntil2p30(s204) | (~until2p29(s204)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31052,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s204) | xuntil2p30(s204) | (~until2p29(s204))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 6.98/5.67 tff(31053,plain,
% 6.98/5.67 (xuntil2p30(s204) | (~until2p29(s204))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31052, 30068, 28747])).
% 6.98/5.67 tff(31054,plain,
% 6.98/5.67 (~until2p29(s204)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31053, 31049])).
% 6.98/5.67 tff(31055,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31056,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31057,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 6.98/5.67 tff(31058,plain,
% 6.98/5.67 (until2p29(s204) | (~xuntil2p30(s203))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31057, 16498, 30083])).
% 6.98/5.67 tff(31059,plain,
% 6.98/5.67 (~xuntil2p30(s203)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31058, 31054])).
% 6.98/5.67 tff(31060,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31061,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s203) | xuntil2p30(s203) | (~until2p29(s203)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31062,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s203) | xuntil2p30(s203) | (~until2p29(s203))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 6.98/5.67 tff(31063,plain,
% 6.98/5.67 (xuntil2p30(s203) | (~until2p29(s203))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31062, 30068, 24524])).
% 6.98/5.67 tff(31064,plain,
% 6.98/5.67 (~until2p29(s203)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31063, 31059])).
% 6.98/5.67 tff(31065,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31066,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31067,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31066, 31065])).
% 6.98/5.67 tff(31068,plain,
% 6.98/5.67 (until2p29(s203) | (~xuntil2p30(s202))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31067, 16423, 30083])).
% 6.98/5.67 tff(31069,plain,
% 6.98/5.67 (~xuntil2p30(s202)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31068, 31064])).
% 6.98/5.67 tff(31070,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31071,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s202) | xuntil2p30(s202) | (~until2p29(s202)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31072,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s202) | xuntil2p30(s202) | (~until2p29(s202))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31071, 31070])).
% 6.98/5.67 tff(31073,plain,
% 6.98/5.67 (xuntil2p30(s202) | (~until2p29(s202))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31072, 30068, 24533])).
% 6.98/5.67 tff(31074,plain,
% 6.98/5.67 (~until2p29(s202)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31073, 31069])).
% 6.98/5.67 tff(31075,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31076,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31077,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31076, 31075])).
% 6.98/5.67 tff(31078,plain,
% 6.98/5.67 (until2p29(s202) | (~xuntil2p30(s201))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31077, 16359, 30083])).
% 6.98/5.67 tff(31079,plain,
% 6.98/5.67 (~xuntil2p30(s201)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31078, 31074])).
% 6.98/5.67 tff(31080,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31081,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s201) | xuntil2p30(s201) | (~until2p29(s201)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31082,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s201) | xuntil2p30(s201) | (~until2p29(s201))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 6.98/5.67 tff(31083,plain,
% 6.98/5.67 (xuntil2p30(s201) | (~until2p29(s201))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31082, 30068, 24537])).
% 6.98/5.67 tff(31084,plain,
% 6.98/5.67 (~until2p29(s201)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31083, 31079])).
% 6.98/5.67 tff(31085,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31086,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31087,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31086, 31085])).
% 6.98/5.67 tff(31088,plain,
% 6.98/5.67 (until2p29(s201) | (~xuntil2p30(s200))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31087, 16264, 30083])).
% 6.98/5.67 tff(31089,plain,
% 6.98/5.67 (~xuntil2p30(s200)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31088, 31084])).
% 6.98/5.67 tff(31090,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31091,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s200) | xuntil2p30(s200) | (~until2p29(s200)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31092,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s200) | xuntil2p30(s200) | (~until2p29(s200))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31091, 31090])).
% 6.98/5.67 tff(31093,plain,
% 6.98/5.67 (xuntil2p30(s200) | (~until2p29(s200))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31092, 30068, 28693])).
% 6.98/5.67 tff(31094,plain,
% 6.98/5.67 (~until2p29(s200)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31093, 31089])).
% 6.98/5.67 tff(31095,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31096,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31097,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 6.98/5.67 tff(31098,plain,
% 6.98/5.67 (until2p29(s200) | (~xuntil2p30(s199))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31097, 16203, 30083])).
% 6.98/5.67 tff(31099,plain,
% 6.98/5.67 (~xuntil2p30(s199)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31098, 31094])).
% 6.98/5.67 tff(31100,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31101,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31102,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s199) | xuntil2p30(s199) | (~until2p29(s199))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31101, 31100])).
% 6.98/5.67 tff(31103,plain,
% 6.98/5.67 (xuntil2p30(s199) | (~until2p29(s199))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31102, 30068, 24553])).
% 6.98/5.67 tff(31104,plain,
% 6.98/5.67 (~until2p29(s199)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31103, 31099])).
% 6.98/5.67 tff(31105,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31106,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31107,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31106, 31105])).
% 6.98/5.67 tff(31108,plain,
% 6.98/5.67 (until2p29(s199) | (~xuntil2p30(s198))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31107, 16125, 30083])).
% 6.98/5.67 tff(31109,plain,
% 6.98/5.67 (~xuntil2p30(s198)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31108, 31104])).
% 6.98/5.67 tff(31110,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31111,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31112,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s198) | xuntil2p30(s198) | (~until2p29(s198))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 6.98/5.67 tff(31113,plain,
% 6.98/5.67 (xuntil2p30(s198) | (~until2p29(s198))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31112, 30068, 24562])).
% 6.98/5.67 tff(31114,plain,
% 6.98/5.67 (~until2p29(s198)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31113, 31109])).
% 6.98/5.67 tff(31115,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31116,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31117,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 6.98/5.67 tff(31118,plain,
% 6.98/5.67 (until2p29(s198) | (~xuntil2p30(s197))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31117, 16026, 30083])).
% 6.98/5.67 tff(31119,plain,
% 6.98/5.67 (~xuntil2p30(s197)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31118, 31114])).
% 6.98/5.67 tff(31120,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31121,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31122,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s197) | xuntil2p30(s197) | (~until2p29(s197))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 6.98/5.67 tff(31123,plain,
% 6.98/5.67 (xuntil2p30(s197) | (~until2p29(s197))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31122, 30068, 24566])).
% 6.98/5.67 tff(31124,plain,
% 6.98/5.67 (~until2p29(s197)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31123, 31119])).
% 6.98/5.67 tff(31125,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31126,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31127,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 6.98/5.67 tff(31128,plain,
% 6.98/5.67 (until2p29(s197) | (~xuntil2p30(s196))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31127, 15959, 30083])).
% 6.98/5.67 tff(31129,plain,
% 6.98/5.67 (~xuntil2p30(s196)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31128, 31124])).
% 6.98/5.67 tff(31130,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31131,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31132,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s196) | xuntil2p30(s196) | (~until2p29(s196))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31131, 31130])).
% 6.98/5.67 tff(31133,plain,
% 6.98/5.67 (xuntil2p30(s196) | (~until2p29(s196))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31132, 30068, 28639])).
% 6.98/5.67 tff(31134,plain,
% 6.98/5.67 (~until2p29(s196)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31133, 31129])).
% 6.98/5.67 tff(31135,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31136,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31137,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 6.98/5.67 tff(31138,plain,
% 6.98/5.67 (until2p29(s196) | (~xuntil2p30(s195))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31137, 15870, 30083])).
% 6.98/5.67 tff(31139,plain,
% 6.98/5.67 (~xuntil2p30(s195)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31138, 31134])).
% 6.98/5.67 tff(31140,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31141,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31142,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s195) | xuntil2p30(s195) | (~until2p29(s195))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31141, 31140])).
% 6.98/5.67 tff(31143,plain,
% 6.98/5.67 (xuntil2p30(s195) | (~until2p29(s195))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31142, 30068, 24582])).
% 6.98/5.67 tff(31144,plain,
% 6.98/5.67 (~until2p29(s195)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31143, 31139])).
% 6.98/5.67 tff(31145,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31146,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31147,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31146, 31145])).
% 6.98/5.67 tff(31148,plain,
% 6.98/5.67 (until2p29(s195) | (~xuntil2p30(s194))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31147, 15795, 30083])).
% 6.98/5.67 tff(31149,plain,
% 6.98/5.67 (~xuntil2p30(s194)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31148, 31144])).
% 6.98/5.67 tff(31150,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31151,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31152,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s194) | xuntil2p30(s194) | (~until2p29(s194))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 6.98/5.67 tff(31153,plain,
% 6.98/5.67 (xuntil2p30(s194) | (~until2p29(s194))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31152, 30068, 24591])).
% 6.98/5.67 tff(31154,plain,
% 6.98/5.67 (~until2p29(s194)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31153, 31149])).
% 6.98/5.67 tff(31155,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31156,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31157,plain,
% 6.98/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193))),
% 6.98/5.67 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 6.98/5.67 tff(31158,plain,
% 6.98/5.67 (until2p29(s194) | (~xuntil2p30(s193))),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31157, 15731, 30083])).
% 6.98/5.67 tff(31159,plain,
% 6.98/5.67 (~xuntil2p30(s193)),
% 6.98/5.67 inference(unit_resolution,[status(thm)],[31158, 31154])).
% 6.98/5.67 tff(31160,plain,
% 6.98/5.67 (((~![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)))),
% 6.98/5.67 inference(rewrite,[status(thm)],[])).
% 6.98/5.67 tff(31161,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))),
% 6.98/5.67 inference(quant_inst,[status(thm)],[])).
% 6.98/5.67 tff(31162,plain,
% 6.98/5.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s193) | xuntil2p30(s193) | (~until2p29(s193))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 6.98/5.68 tff(31163,plain,
% 6.98/5.68 (xuntil2p30(s193) | (~until2p29(s193))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31162, 30068, 24595])).
% 6.98/5.68 tff(31164,plain,
% 6.98/5.68 (~until2p29(s193)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31163, 31159])).
% 6.98/5.68 tff(31165,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31166,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31167,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31166, 31165])).
% 6.98/5.68 tff(31168,plain,
% 6.98/5.68 (until2p29(s193) | (~xuntil2p30(s192))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31167, 15636, 30083])).
% 6.98/5.68 tff(31169,plain,
% 6.98/5.68 (~xuntil2p30(s192)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31168, 31164])).
% 6.98/5.68 tff(31170,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31171,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31172,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s192) | xuntil2p30(s192) | (~until2p29(s192))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31171, 31170])).
% 6.98/5.68 tff(31173,plain,
% 6.98/5.68 (xuntil2p30(s192) | (~until2p29(s192))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31172, 30068, 28585])).
% 6.98/5.68 tff(31174,plain,
% 6.98/5.68 (~until2p29(s192)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31173, 31169])).
% 6.98/5.68 tff(31175,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31176,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31177,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31176, 31175])).
% 6.98/5.68 tff(31178,plain,
% 6.98/5.68 (until2p29(s192) | (~xuntil2p30(s191))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31177, 15506, 30083])).
% 6.98/5.68 tff(31179,plain,
% 6.98/5.68 (~xuntil2p30(s191)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31178, 31174])).
% 6.98/5.68 tff(31180,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31181,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31182,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s191) | xuntil2p30(s191) | (~until2p29(s191))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 6.98/5.68 tff(31183,plain,
% 6.98/5.68 (xuntil2p30(s191) | (~until2p29(s191))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31182, 30068, 24604])).
% 6.98/5.68 tff(31184,plain,
% 6.98/5.68 (~until2p29(s191)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31183, 31179])).
% 6.98/5.68 tff(31185,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31186,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31187,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31186, 31185])).
% 6.98/5.68 tff(31188,plain,
% 6.98/5.68 (until2p29(s191) | (~xuntil2p30(s190))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31187, 15428, 30083])).
% 6.98/5.68 tff(31189,plain,
% 6.98/5.68 (~xuntil2p30(s190)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31188, 31184])).
% 6.98/5.68 tff(31190,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31191,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31192,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s190) | xuntil2p30(s190) | (~until2p29(s190))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31191, 31190])).
% 6.98/5.68 tff(31193,plain,
% 6.98/5.68 (xuntil2p30(s190) | (~until2p29(s190))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31192, 30068, 24613])).
% 6.98/5.68 tff(31194,plain,
% 6.98/5.68 (~until2p29(s190)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31193, 31189])).
% 6.98/5.68 tff(31195,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31196,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31197,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31196, 31195])).
% 6.98/5.68 tff(31198,plain,
% 6.98/5.68 (until2p29(s190) | (~xuntil2p30(s189))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31197, 15329, 30083])).
% 6.98/5.68 tff(31199,plain,
% 6.98/5.68 (~xuntil2p30(s189)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31198, 31194])).
% 6.98/5.68 tff(31200,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31201,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31202,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s189) | xuntil2p30(s189) | (~until2p29(s189))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31201, 31200])).
% 6.98/5.68 tff(31203,plain,
% 6.98/5.68 (xuntil2p30(s189) | (~until2p29(s189))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31202, 30068, 24617])).
% 6.98/5.68 tff(31204,plain,
% 6.98/5.68 (~until2p29(s189)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31203, 31199])).
% 6.98/5.68 tff(31205,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31206,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31207,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 6.98/5.68 tff(31208,plain,
% 6.98/5.68 (until2p29(s189) | (~xuntil2p30(s188))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31207, 15262, 30083])).
% 6.98/5.68 tff(31209,plain,
% 6.98/5.68 (~xuntil2p30(s188)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31208, 31204])).
% 6.98/5.68 tff(31210,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31211,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31212,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s188) | xuntil2p30(s188) | (~until2p29(s188))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 6.98/5.68 tff(31213,plain,
% 6.98/5.68 (xuntil2p30(s188) | (~until2p29(s188))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31212, 30068, 28531])).
% 6.98/5.68 tff(31214,plain,
% 6.98/5.68 (~until2p29(s188)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31213, 31209])).
% 6.98/5.68 tff(31215,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31216,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31217,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31216, 31215])).
% 6.98/5.68 tff(31218,plain,
% 6.98/5.68 (until2p29(s188) | (~xuntil2p30(s187))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31217, 15173, 30083])).
% 6.98/5.68 tff(31219,plain,
% 6.98/5.68 (~xuntil2p30(s187)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31218, 31214])).
% 6.98/5.68 tff(31220,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31221,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31222,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s187) | xuntil2p30(s187) | (~until2p29(s187))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31221, 31220])).
% 6.98/5.68 tff(31223,plain,
% 6.98/5.68 (xuntil2p30(s187) | (~until2p29(s187))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31222, 30068, 24633])).
% 6.98/5.68 tff(31224,plain,
% 6.98/5.68 (~until2p29(s187)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31223, 31219])).
% 6.98/5.68 tff(31225,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31226,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31227,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 6.98/5.68 tff(31228,plain,
% 6.98/5.68 (until2p29(s187) | (~xuntil2p30(s186))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31227, 15098, 30083])).
% 6.98/5.68 tff(31229,plain,
% 6.98/5.68 (~xuntil2p30(s186)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31228, 31224])).
% 6.98/5.68 tff(31230,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31231,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31232,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s186) | xuntil2p30(s186) | (~until2p29(s186))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 6.98/5.68 tff(31233,plain,
% 6.98/5.68 (xuntil2p30(s186) | (~until2p29(s186))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31232, 30068, 24642])).
% 6.98/5.68 tff(31234,plain,
% 6.98/5.68 (~until2p29(s186)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31233, 31229])).
% 6.98/5.68 tff(31235,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31236,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31237,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 6.98/5.68 tff(31238,plain,
% 6.98/5.68 (until2p29(s186) | (~xuntil2p30(s185))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31237, 15034, 30083])).
% 6.98/5.68 tff(31239,plain,
% 6.98/5.68 (~xuntil2p30(s185)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31238, 31234])).
% 6.98/5.68 tff(31240,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31241,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31242,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s185) | xuntil2p30(s185) | (~until2p29(s185))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31241, 31240])).
% 6.98/5.68 tff(31243,plain,
% 6.98/5.68 (xuntil2p30(s185) | (~until2p29(s185))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31242, 30068, 24646])).
% 6.98/5.68 tff(31244,plain,
% 6.98/5.68 (~until2p29(s185)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31243, 31239])).
% 6.98/5.68 tff(31245,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31246,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31247,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 6.98/5.68 tff(31248,plain,
% 6.98/5.68 (until2p29(s185) | (~xuntil2p30(s184))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31247, 14939, 30083])).
% 6.98/5.68 tff(31249,plain,
% 6.98/5.68 (~xuntil2p30(s184)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31248, 31244])).
% 6.98/5.68 tff(31250,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31251,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31252,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s184) | xuntil2p30(s184) | (~until2p29(s184))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31251, 31250])).
% 6.98/5.68 tff(31253,plain,
% 6.98/5.68 (xuntil2p30(s184) | (~until2p29(s184))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31252, 30068, 28477])).
% 6.98/5.68 tff(31254,plain,
% 6.98/5.68 (~until2p29(s184)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31253, 31249])).
% 6.98/5.68 tff(31255,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31256,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31257,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 6.98/5.68 tff(31258,plain,
% 6.98/5.68 (until2p29(s184) | (~xuntil2p30(s183))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31257, 14878, 30083])).
% 6.98/5.68 tff(31259,plain,
% 6.98/5.68 (~xuntil2p30(s183)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31258, 31254])).
% 6.98/5.68 tff(31260,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31261,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31262,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s183) | xuntil2p30(s183) | (~until2p29(s183))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 6.98/5.68 tff(31263,plain,
% 6.98/5.68 (xuntil2p30(s183) | (~until2p29(s183))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31262, 30068, 24662])).
% 6.98/5.68 tff(31264,plain,
% 6.98/5.68 (~until2p29(s183)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31263, 31259])).
% 6.98/5.68 tff(31265,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31266,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31267,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 6.98/5.68 tff(31268,plain,
% 6.98/5.68 (until2p29(s183) | (~xuntil2p30(s182))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31267, 14800, 30083])).
% 6.98/5.68 tff(31269,plain,
% 6.98/5.68 (~xuntil2p30(s182)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31268, 31264])).
% 6.98/5.68 tff(31270,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31271,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31272,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s182) | xuntil2p30(s182) | (~until2p29(s182))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31271, 31270])).
% 6.98/5.68 tff(31273,plain,
% 6.98/5.68 (xuntil2p30(s182) | (~until2p29(s182))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31272, 30068, 24671])).
% 6.98/5.68 tff(31274,plain,
% 6.98/5.68 (~until2p29(s182)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31273, 31269])).
% 6.98/5.68 tff(31275,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31276,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31277,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 6.98/5.68 tff(31278,plain,
% 6.98/5.68 (until2p29(s182) | (~xuntil2p30(s181))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31277, 14701, 30083])).
% 6.98/5.68 tff(31279,plain,
% 6.98/5.68 (~xuntil2p30(s181)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31278, 31274])).
% 6.98/5.68 tff(31280,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31281,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31282,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s181) | xuntil2p30(s181) | (~until2p29(s181))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31281, 31280])).
% 6.98/5.68 tff(31283,plain,
% 6.98/5.68 (xuntil2p30(s181) | (~until2p29(s181))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31282, 30068, 24675])).
% 6.98/5.68 tff(31284,plain,
% 6.98/5.68 (~until2p29(s181)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31283, 31279])).
% 6.98/5.68 tff(31285,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31286,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31287,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31286, 31285])).
% 6.98/5.68 tff(31288,plain,
% 6.98/5.68 (until2p29(s181) | (~xuntil2p30(s180))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31287, 14634, 30083])).
% 6.98/5.68 tff(31289,plain,
% 6.98/5.68 (~xuntil2p30(s180)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31288, 31284])).
% 6.98/5.68 tff(31290,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31291,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31292,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s180) | xuntil2p30(s180) | (~until2p29(s180))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31291, 31290])).
% 6.98/5.68 tff(31293,plain,
% 6.98/5.68 (xuntil2p30(s180) | (~until2p29(s180))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31292, 30068, 28423])).
% 6.98/5.68 tff(31294,plain,
% 6.98/5.68 (~until2p29(s180)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31293, 31289])).
% 6.98/5.68 tff(31295,assumption,(~until2p29(s180)), introduced(assumption)).
% 6.98/5.68 tff(31296,assumption,(trans(s299, s180)), introduced(assumption)).
% 6.98/5.68 tff(31297,plain,
% 6.98/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31298,plain,
% 6.98/5.68 (((~trans(s299, s180)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s180)) <=> (until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31299,plain,
% 6.98/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180))))),
% 6.98/5.68 inference(monotonicity,[status(thm)],[31298])).
% 6.98/5.68 tff(31300,plain,
% 6.98/5.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180)))),
% 6.98/5.68 inference(transitivity,[status(thm)],[31299, 31297])).
% 6.98/5.68 tff(31301,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s180))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31302,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s180))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 6.98/5.68 tff(31303,plain,
% 6.98/5.68 ($false),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31302, 30054, 31296, 30252, 31295, 30703])).
% 6.98/5.68 tff(31304,plain,((~trans(s299, s180)) | until2p29(s180) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 6.98/5.68 tff(31305,plain,
% 6.98/5.68 (~trans(s299, s180)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31304, 31294, 30043])).
% 6.98/5.68 tff(31306,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31307,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31308,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31307, 31306])).
% 6.98/5.68 tff(31309,plain,
% 6.98/5.68 (until2p29(s180) | (~xuntil2p30(s179))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31308, 14545, 30083])).
% 6.98/5.68 tff(31310,plain,
% 6.98/5.68 (~xuntil2p30(s179)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31309, 31294])).
% 6.98/5.68 tff(31311,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31312,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31313,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s179) | xuntil2p30(s179) | (~until2p29(s179))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31312, 31311])).
% 6.98/5.68 tff(31314,plain,
% 6.98/5.68 (xuntil2p30(s179) | (~until2p29(s179))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31313, 30068, 24691])).
% 6.98/5.68 tff(31315,plain,
% 6.98/5.68 (~until2p29(s179)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31314, 31310])).
% 6.98/5.68 tff(31316,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31317,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31318,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31317, 31316])).
% 6.98/5.68 tff(31319,plain,
% 6.98/5.68 (until2p29(s179) | (~xuntil2p30(s178))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31318, 14470, 30083])).
% 6.98/5.68 tff(31320,plain,
% 6.98/5.68 (~xuntil2p30(s178)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31319, 31315])).
% 6.98/5.68 tff(31321,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31322,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31323,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s178) | xuntil2p30(s178) | (~until2p29(s178))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 6.98/5.68 tff(31324,plain,
% 6.98/5.68 (xuntil2p30(s178) | (~until2p29(s178))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31323, 30068, 24700])).
% 6.98/5.68 tff(31325,plain,
% 6.98/5.68 (~until2p29(s178)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31324, 31320])).
% 6.98/5.68 tff(31326,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31327,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31328,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31327, 31326])).
% 6.98/5.68 tff(31329,plain,
% 6.98/5.68 (until2p29(s178) | (~xuntil2p30(s177))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31328, 14406, 30083])).
% 6.98/5.68 tff(31330,plain,
% 6.98/5.68 (~xuntil2p30(s177)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31329, 31325])).
% 6.98/5.68 tff(31331,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31332,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31333,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s177) | xuntil2p30(s177) | (~until2p29(s177))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 6.98/5.68 tff(31334,plain,
% 6.98/5.68 (xuntil2p30(s177) | (~until2p29(s177))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31333, 30068, 24704])).
% 6.98/5.68 tff(31335,plain,
% 6.98/5.68 (~until2p29(s177)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31334, 31330])).
% 6.98/5.68 tff(31336,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31337,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31338,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 6.98/5.68 tff(31339,plain,
% 6.98/5.68 (until2p29(s177) | (~xuntil2p30(s176))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31338, 14311, 30083])).
% 6.98/5.68 tff(31340,plain,
% 6.98/5.68 (~xuntil2p30(s176)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31339, 31335])).
% 6.98/5.68 tff(31341,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31342,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31343,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s176) | xuntil2p30(s176) | (~until2p29(s176))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 6.98/5.68 tff(31344,plain,
% 6.98/5.68 (xuntil2p30(s176) | (~until2p29(s176))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31343, 30068, 28369])).
% 6.98/5.68 tff(31345,plain,
% 6.98/5.68 (~until2p29(s176)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31344, 31340])).
% 6.98/5.68 tff(31346,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31347,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))),
% 6.98/5.68 inference(quant_inst,[status(thm)],[])).
% 6.98/5.68 tff(31348,plain,
% 6.98/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175))),
% 6.98/5.68 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 6.98/5.68 tff(31349,plain,
% 6.98/5.68 (until2p29(s176) | (~xuntil2p30(s175))),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31348, 14250, 30083])).
% 6.98/5.68 tff(31350,plain,
% 6.98/5.68 (~xuntil2p30(s175)),
% 6.98/5.68 inference(unit_resolution,[status(thm)],[31349, 31345])).
% 6.98/5.68 tff(31351,plain,
% 6.98/5.68 (((~![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)))),
% 6.98/5.68 inference(rewrite,[status(thm)],[])).
% 6.98/5.68 tff(31352,plain,
% 6.98/5.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31353,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s175) | xuntil2p30(s175) | (~until2p29(s175))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31352, 31351])).
% 6.98/5.69 tff(31354,plain,
% 6.98/5.69 (xuntil2p30(s175) | (~until2p29(s175))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31353, 30068, 24720])).
% 6.98/5.69 tff(31355,plain,
% 6.98/5.69 (~until2p29(s175)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31354, 31350])).
% 6.98/5.69 tff(31356,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31357,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31358,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 6.98/5.69 tff(31359,plain,
% 6.98/5.69 (until2p29(s175) | (~xuntil2p30(s174))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31358, 14172, 30083])).
% 6.98/5.69 tff(31360,plain,
% 6.98/5.69 (~xuntil2p30(s174)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31359, 31355])).
% 6.98/5.69 tff(31361,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31362,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31363,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s174) | xuntil2p30(s174) | (~until2p29(s174))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 6.98/5.69 tff(31364,plain,
% 6.98/5.69 (xuntil2p30(s174) | (~until2p29(s174))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31363, 30068, 24729])).
% 6.98/5.69 tff(31365,plain,
% 6.98/5.69 (~until2p29(s174)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31364, 31360])).
% 6.98/5.69 tff(31366,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31367,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31368,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 6.98/5.69 tff(31369,plain,
% 6.98/5.69 (until2p29(s174) | (~xuntil2p30(s173))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31368, 14073, 30083])).
% 6.98/5.69 tff(31370,plain,
% 6.98/5.69 (~xuntil2p30(s173)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31369, 31365])).
% 6.98/5.69 tff(31371,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31372,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31373,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s173) | xuntil2p30(s173) | (~until2p29(s173))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31372, 31371])).
% 6.98/5.69 tff(31374,plain,
% 6.98/5.69 (xuntil2p30(s173) | (~until2p29(s173))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31373, 30068, 24733])).
% 6.98/5.69 tff(31375,plain,
% 6.98/5.69 (~until2p29(s173)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31374, 31370])).
% 6.98/5.69 tff(31376,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31377,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31378,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 6.98/5.69 tff(31379,plain,
% 6.98/5.69 (until2p29(s173) | (~xuntil2p30(s172))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31378, 14006, 30083])).
% 6.98/5.69 tff(31380,plain,
% 6.98/5.69 (~xuntil2p30(s172)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31379, 31375])).
% 6.98/5.69 tff(31381,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31382,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31383,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s172) | xuntil2p30(s172) | (~until2p29(s172))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31382, 31381])).
% 6.98/5.69 tff(31384,plain,
% 6.98/5.69 (xuntil2p30(s172) | (~until2p29(s172))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31383, 30068, 28315])).
% 6.98/5.69 tff(31385,plain,
% 6.98/5.69 (~until2p29(s172)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31384, 31380])).
% 6.98/5.69 tff(31386,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31387,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31388,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31387, 31386])).
% 6.98/5.69 tff(31389,plain,
% 6.98/5.69 (until2p29(s172) | (~xuntil2p30(s171))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31388, 13917, 30083])).
% 6.98/5.69 tff(31390,plain,
% 6.98/5.69 (~xuntil2p30(s171)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31389, 31385])).
% 6.98/5.69 tff(31391,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31392,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31393,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s171) | xuntil2p30(s171) | (~until2p29(s171))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 6.98/5.69 tff(31394,plain,
% 6.98/5.69 (xuntil2p30(s171) | (~until2p29(s171))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31393, 30068, 24749])).
% 6.98/5.69 tff(31395,plain,
% 6.98/5.69 (~until2p29(s171)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31394, 31390])).
% 6.98/5.69 tff(31396,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31397,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31398,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 6.98/5.69 tff(31399,plain,
% 6.98/5.69 (until2p29(s171) | (~xuntil2p30(s170))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31398, 13842, 30083])).
% 6.98/5.69 tff(31400,plain,
% 6.98/5.69 (~xuntil2p30(s170)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31399, 31395])).
% 6.98/5.69 tff(31401,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31402,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31403,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s170) | xuntil2p30(s170) | (~until2p29(s170))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 6.98/5.69 tff(31404,plain,
% 6.98/5.69 (xuntil2p30(s170) | (~until2p29(s170))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31403, 30068, 24758])).
% 6.98/5.69 tff(31405,plain,
% 6.98/5.69 (~until2p29(s170)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31404, 31400])).
% 6.98/5.69 tff(31406,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31407,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31408,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31407, 31406])).
% 6.98/5.69 tff(31409,plain,
% 6.98/5.69 (until2p29(s170) | (~xuntil2p30(s169))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31408, 13778, 30083])).
% 6.98/5.69 tff(31410,plain,
% 6.98/5.69 (~xuntil2p30(s169)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31409, 31405])).
% 6.98/5.69 tff(31411,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31412,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31413,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s169) | xuntil2p30(s169) | (~until2p29(s169))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31412, 31411])).
% 6.98/5.69 tff(31414,plain,
% 6.98/5.69 (xuntil2p30(s169) | (~until2p29(s169))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31413, 30068, 24762])).
% 6.98/5.69 tff(31415,plain,
% 6.98/5.69 (~until2p29(s169)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31414, 31410])).
% 6.98/5.69 tff(31416,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31417,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31418,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31417, 31416])).
% 6.98/5.69 tff(31419,plain,
% 6.98/5.69 (until2p29(s169) | (~xuntil2p30(s168))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31418, 13683, 30083])).
% 6.98/5.69 tff(31420,plain,
% 6.98/5.69 (~xuntil2p30(s168)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31419, 31415])).
% 6.98/5.69 tff(31421,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31422,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31423,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s168) | xuntil2p30(s168) | (~until2p29(s168))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31422, 31421])).
% 6.98/5.69 tff(31424,plain,
% 6.98/5.69 (xuntil2p30(s168) | (~until2p29(s168))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31423, 30068, 28261])).
% 6.98/5.69 tff(31425,plain,
% 6.98/5.69 (~until2p29(s168)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31424, 31420])).
% 6.98/5.69 tff(31426,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31427,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31428,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31427, 31426])).
% 6.98/5.69 tff(31429,plain,
% 6.98/5.69 (until2p29(s168) | (~xuntil2p30(s167))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31428, 13622, 30083])).
% 6.98/5.69 tff(31430,plain,
% 6.98/5.69 (~xuntil2p30(s167)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31429, 31425])).
% 6.98/5.69 tff(31431,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31432,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31433,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s167) | xuntil2p30(s167) | (~until2p29(s167))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 6.98/5.69 tff(31434,plain,
% 6.98/5.69 (xuntil2p30(s167) | (~until2p29(s167))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31433, 30068, 24778])).
% 6.98/5.69 tff(31435,plain,
% 6.98/5.69 (~until2p29(s167)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31434, 31430])).
% 6.98/5.69 tff(31436,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31437,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31438,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31437, 31436])).
% 6.98/5.69 tff(31439,plain,
% 6.98/5.69 (until2p29(s167) | (~xuntil2p30(s166))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31438, 13544, 30083])).
% 6.98/5.69 tff(31440,plain,
% 6.98/5.69 (~xuntil2p30(s166)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31439, 31435])).
% 6.98/5.69 tff(31441,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31442,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31443,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s166) | xuntil2p30(s166) | (~until2p29(s166))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 6.98/5.69 tff(31444,plain,
% 6.98/5.69 (xuntil2p30(s166) | (~until2p29(s166))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31443, 30068, 24787])).
% 6.98/5.69 tff(31445,plain,
% 6.98/5.69 (~until2p29(s166)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31444, 31440])).
% 6.98/5.69 tff(31446,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31447,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31448,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 6.98/5.69 tff(31449,plain,
% 6.98/5.69 (until2p29(s166) | (~xuntil2p30(s165))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31448, 13445, 30083])).
% 6.98/5.69 tff(31450,plain,
% 6.98/5.69 (~xuntil2p30(s165)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31449, 31445])).
% 6.98/5.69 tff(31451,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31452,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31453,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s165) | xuntil2p30(s165) | (~until2p29(s165))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 6.98/5.69 tff(31454,plain,
% 6.98/5.69 (xuntil2p30(s165) | (~until2p29(s165))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31453, 30068, 24791])).
% 6.98/5.69 tff(31455,plain,
% 6.98/5.69 (~until2p29(s165)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31454, 31450])).
% 6.98/5.69 tff(31456,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31457,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31458,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 6.98/5.69 tff(31459,plain,
% 6.98/5.69 (until2p29(s165) | (~xuntil2p30(s164))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31458, 13378, 30083])).
% 6.98/5.69 tff(31460,plain,
% 6.98/5.69 (~xuntil2p30(s164)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31459, 31455])).
% 6.98/5.69 tff(31461,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31462,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31463,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s164) | xuntil2p30(s164) | (~until2p29(s164))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31462, 31461])).
% 6.98/5.69 tff(31464,plain,
% 6.98/5.69 (xuntil2p30(s164) | (~until2p29(s164))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31463, 30068, 28207])).
% 6.98/5.69 tff(31465,plain,
% 6.98/5.69 (~until2p29(s164)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31464, 31460])).
% 6.98/5.69 tff(31466,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31467,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31468,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31467, 31466])).
% 6.98/5.69 tff(31469,plain,
% 6.98/5.69 (until2p29(s164) | (~xuntil2p30(s163))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31468, 13289, 30083])).
% 6.98/5.69 tff(31470,plain,
% 6.98/5.69 (~xuntil2p30(s163)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31469, 31465])).
% 6.98/5.69 tff(31471,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31472,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31473,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s163) | xuntil2p30(s163) | (~until2p29(s163))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31472, 31471])).
% 6.98/5.69 tff(31474,plain,
% 6.98/5.69 (xuntil2p30(s163) | (~until2p29(s163))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31473, 30068, 24807])).
% 6.98/5.69 tff(31475,plain,
% 6.98/5.69 (~until2p29(s163)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31474, 31470])).
% 6.98/5.69 tff(31476,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31477,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31478,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31477, 31476])).
% 6.98/5.69 tff(31479,plain,
% 6.98/5.69 (until2p29(s163) | (~xuntil2p30(s162))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31478, 13214, 30083])).
% 6.98/5.69 tff(31480,plain,
% 6.98/5.69 (~xuntil2p30(s162)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31479, 31475])).
% 6.98/5.69 tff(31481,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31482,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31483,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s162) | xuntil2p30(s162) | (~until2p29(s162))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31482, 31481])).
% 6.98/5.69 tff(31484,plain,
% 6.98/5.69 (xuntil2p30(s162) | (~until2p29(s162))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31483, 30068, 24816])).
% 6.98/5.69 tff(31485,plain,
% 6.98/5.69 (~until2p29(s162)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31484, 31480])).
% 6.98/5.69 tff(31486,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31487,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31488,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31487, 31486])).
% 6.98/5.69 tff(31489,plain,
% 6.98/5.69 (until2p29(s162) | (~xuntil2p30(s161))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31488, 13150, 30083])).
% 6.98/5.69 tff(31490,plain,
% 6.98/5.69 (~xuntil2p30(s161)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31489, 31485])).
% 6.98/5.69 tff(31491,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31492,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31493,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s161) | xuntil2p30(s161) | (~until2p29(s161))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31492, 31491])).
% 6.98/5.69 tff(31494,plain,
% 6.98/5.69 (xuntil2p30(s161) | (~until2p29(s161))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31493, 30068, 24820])).
% 6.98/5.69 tff(31495,plain,
% 6.98/5.69 (~until2p29(s161)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31494, 31490])).
% 6.98/5.69 tff(31496,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31497,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31498,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31497, 31496])).
% 6.98/5.69 tff(31499,plain,
% 6.98/5.69 (until2p29(s161) | (~xuntil2p30(s160))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31498, 13055, 30083])).
% 6.98/5.69 tff(31500,plain,
% 6.98/5.69 (~xuntil2p30(s160)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31499, 31495])).
% 6.98/5.69 tff(31501,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31502,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31503,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s160) | xuntil2p30(s160) | (~until2p29(s160))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31502, 31501])).
% 6.98/5.69 tff(31504,plain,
% 6.98/5.69 (xuntil2p30(s160) | (~until2p29(s160))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31503, 30068, 28153])).
% 6.98/5.69 tff(31505,plain,
% 6.98/5.69 (~until2p29(s160)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31504, 31500])).
% 6.98/5.69 tff(31506,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31507,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31508,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31507, 31506])).
% 6.98/5.69 tff(31509,plain,
% 6.98/5.69 (until2p29(s160) | (~xuntil2p30(s159))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31508, 12994, 30083])).
% 6.98/5.69 tff(31510,plain,
% 6.98/5.69 (~xuntil2p30(s159)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31509, 31505])).
% 6.98/5.69 tff(31511,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31512,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31513,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s159) | xuntil2p30(s159) | (~until2p29(s159))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 6.98/5.69 tff(31514,plain,
% 6.98/5.69 (xuntil2p30(s159) | (~until2p29(s159))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31513, 30068, 24836])).
% 6.98/5.69 tff(31515,plain,
% 6.98/5.69 (~until2p29(s159)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31514, 31510])).
% 6.98/5.69 tff(31516,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31517,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31518,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 6.98/5.69 tff(31519,plain,
% 6.98/5.69 (until2p29(s159) | (~xuntil2p30(s158))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31518, 12916, 30083])).
% 6.98/5.69 tff(31520,plain,
% 6.98/5.69 (~xuntil2p30(s158)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31519, 31515])).
% 6.98/5.69 tff(31521,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31522,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31523,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s158) | xuntil2p30(s158) | (~until2p29(s158))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31522, 31521])).
% 6.98/5.69 tff(31524,plain,
% 6.98/5.69 (xuntil2p30(s158) | (~until2p29(s158))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31523, 30068, 24845])).
% 6.98/5.69 tff(31525,plain,
% 6.98/5.69 (~until2p29(s158)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31524, 31520])).
% 6.98/5.69 tff(31526,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31527,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31528,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31527, 31526])).
% 6.98/5.69 tff(31529,plain,
% 6.98/5.69 (until2p29(s158) | (~xuntil2p30(s157))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31528, 12817, 30083])).
% 6.98/5.69 tff(31530,plain,
% 6.98/5.69 (~xuntil2p30(s157)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31529, 31525])).
% 6.98/5.69 tff(31531,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31532,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31533,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s157) | xuntil2p30(s157) | (~until2p29(s157))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 6.98/5.69 tff(31534,plain,
% 6.98/5.69 (xuntil2p30(s157) | (~until2p29(s157))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31533, 30068, 24849])).
% 6.98/5.69 tff(31535,plain,
% 6.98/5.69 (~until2p29(s157)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31534, 31530])).
% 6.98/5.69 tff(31536,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31537,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31538,plain,
% 6.98/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31537, 31536])).
% 6.98/5.69 tff(31539,plain,
% 6.98/5.69 (until2p29(s157) | (~xuntil2p30(s156))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31538, 12750, 30083])).
% 6.98/5.69 tff(31540,plain,
% 6.98/5.69 (~xuntil2p30(s156)),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31539, 31535])).
% 6.98/5.69 tff(31541,plain,
% 6.98/5.69 (((~![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)))),
% 6.98/5.69 inference(rewrite,[status(thm)],[])).
% 6.98/5.69 tff(31542,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))),
% 6.98/5.69 inference(quant_inst,[status(thm)],[])).
% 6.98/5.69 tff(31543,plain,
% 6.98/5.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s156) | xuntil2p30(s156) | (~until2p29(s156))),
% 6.98/5.69 inference(modus_ponens,[status(thm)],[31542, 31541])).
% 6.98/5.69 tff(31544,plain,
% 6.98/5.69 (xuntil2p30(s156) | (~until2p29(s156))),
% 6.98/5.69 inference(unit_resolution,[status(thm)],[31543, 30068, 28099])).
% 7.06/5.70 tff(31545,plain,
% 7.06/5.70 (~until2p29(s156)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31544, 31540])).
% 7.06/5.70 tff(31546,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31547,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31548,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31547, 31546])).
% 7.06/5.70 tff(31549,plain,
% 7.06/5.70 (until2p29(s156) | (~xuntil2p30(s155))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31548, 12661, 30083])).
% 7.06/5.70 tff(31550,plain,
% 7.06/5.70 (~xuntil2p30(s155)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31549, 31545])).
% 7.06/5.70 tff(31551,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31552,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31553,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s155) | xuntil2p30(s155) | (~until2p29(s155))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 7.06/5.70 tff(31554,plain,
% 7.06/5.70 (xuntil2p30(s155) | (~until2p29(s155))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31553, 30068, 24865])).
% 7.06/5.70 tff(31555,plain,
% 7.06/5.70 (~until2p29(s155)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31554, 31550])).
% 7.06/5.70 tff(31556,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31557,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31558,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31557, 31556])).
% 7.06/5.70 tff(31559,plain,
% 7.06/5.70 (until2p29(s155) | (~xuntil2p30(s154))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31558, 12586, 30083])).
% 7.06/5.70 tff(31560,plain,
% 7.06/5.70 (~xuntil2p30(s154)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31559, 31555])).
% 7.06/5.70 tff(31561,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31562,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31563,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s154) | xuntil2p30(s154) | (~until2p29(s154))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 7.06/5.70 tff(31564,plain,
% 7.06/5.70 (xuntil2p30(s154) | (~until2p29(s154))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31563, 30068, 24874])).
% 7.06/5.70 tff(31565,plain,
% 7.06/5.70 (~until2p29(s154)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31564, 31560])).
% 7.06/5.70 tff(31566,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31567,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31568,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31567, 31566])).
% 7.06/5.70 tff(31569,plain,
% 7.06/5.70 (until2p29(s154) | (~xuntil2p30(s153))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31568, 12522, 30083])).
% 7.06/5.70 tff(31570,plain,
% 7.06/5.70 (~xuntil2p30(s153)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31569, 31565])).
% 7.06/5.70 tff(31571,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31572,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31573,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s153) | xuntil2p30(s153) | (~until2p29(s153))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 7.06/5.70 tff(31574,plain,
% 7.06/5.70 (xuntil2p30(s153) | (~until2p29(s153))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31573, 30068, 24878])).
% 7.06/5.70 tff(31575,plain,
% 7.06/5.70 (~until2p29(s153)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31574, 31570])).
% 7.06/5.70 tff(31576,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31577,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31578,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31577, 31576])).
% 7.06/5.70 tff(31579,plain,
% 7.06/5.70 (until2p29(s153) | (~xuntil2p30(s152))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31578, 12427, 30083])).
% 7.06/5.70 tff(31580,plain,
% 7.06/5.70 (~xuntil2p30(s152)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31579, 31575])).
% 7.06/5.70 tff(31581,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31582,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31583,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s152) | xuntil2p30(s152) | (~until2p29(s152))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31582, 31581])).
% 7.06/5.70 tff(31584,plain,
% 7.06/5.70 (xuntil2p30(s152) | (~until2p29(s152))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31583, 30068, 28045])).
% 7.06/5.70 tff(31585,plain,
% 7.06/5.70 (~until2p29(s152)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31584, 31580])).
% 7.06/5.70 tff(31586,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31587,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31588,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31587, 31586])).
% 7.06/5.70 tff(31589,plain,
% 7.06/5.70 (until2p29(s152) | (~xuntil2p30(s151))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31588, 12366, 30083])).
% 7.06/5.70 tff(31590,plain,
% 7.06/5.70 (~xuntil2p30(s151)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31589, 31585])).
% 7.06/5.70 tff(31591,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31592,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31593,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s151) | xuntil2p30(s151) | (~until2p29(s151))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31592, 31591])).
% 7.06/5.70 tff(31594,plain,
% 7.06/5.70 (xuntil2p30(s151) | (~until2p29(s151))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31593, 30068, 24894])).
% 7.06/5.70 tff(31595,plain,
% 7.06/5.70 (~until2p29(s151)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31594, 31590])).
% 7.06/5.70 tff(31596,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31597,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31598,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 7.06/5.70 tff(31599,plain,
% 7.06/5.70 (until2p29(s151) | (~xuntil2p30(s150))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31598, 12288, 30083])).
% 7.06/5.70 tff(31600,plain,
% 7.06/5.70 (~xuntil2p30(s150)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31599, 31595])).
% 7.06/5.70 tff(31601,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31602,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31603,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s150) | xuntil2p30(s150) | (~until2p29(s150))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31602, 31601])).
% 7.06/5.70 tff(31604,plain,
% 7.06/5.70 (xuntil2p30(s150) | (~until2p29(s150))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31603, 30068, 24903])).
% 7.06/5.70 tff(31605,plain,
% 7.06/5.70 (~until2p29(s150)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31604, 31600])).
% 7.06/5.70 tff(31606,assumption,(~until2p29(s150)), introduced(assumption)).
% 7.06/5.70 tff(31607,assumption,(trans(s299, s150)), introduced(assumption)).
% 7.06/5.70 tff(31608,plain,
% 7.06/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31609,plain,
% 7.06/5.70 (((~trans(s299, s150)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s150)) <=> (until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31610,plain,
% 7.06/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150))))),
% 7.06/5.70 inference(monotonicity,[status(thm)],[31609])).
% 7.06/5.70 tff(31611,plain,
% 7.06/5.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150)))),
% 7.06/5.70 inference(transitivity,[status(thm)],[31610, 31608])).
% 7.06/5.70 tff(31612,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s150))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31613,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s150))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 7.06/5.70 tff(31614,plain,
% 7.06/5.70 ($false),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31613, 30054, 31607, 30252, 31606, 30703])).
% 7.06/5.70 tff(31615,plain,((~trans(s299, s150)) | until2p29(s150) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.70 tff(31616,plain,
% 7.06/5.70 (~trans(s299, s150)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31615, 31605, 30043])).
% 7.06/5.70 tff(31617,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31618,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31619,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31618, 31617])).
% 7.06/5.70 tff(31620,plain,
% 7.06/5.70 (until2p29(s150) | (~xuntil2p30(s149))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31619, 12189, 30083])).
% 7.06/5.70 tff(31621,plain,
% 7.06/5.70 (~xuntil2p30(s149)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31620, 31605])).
% 7.06/5.70 tff(31622,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31623,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31624,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s149) | xuntil2p30(s149) | (~until2p29(s149))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31623, 31622])).
% 7.06/5.70 tff(31625,plain,
% 7.06/5.70 (xuntil2p30(s149) | (~until2p29(s149))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31624, 30068, 24907])).
% 7.06/5.70 tff(31626,plain,
% 7.06/5.70 (~until2p29(s149)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31625, 31621])).
% 7.06/5.70 tff(31627,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31628,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31629,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 7.06/5.70 tff(31630,plain,
% 7.06/5.70 (until2p29(s149) | (~xuntil2p30(s148))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31629, 12122, 30083])).
% 7.06/5.70 tff(31631,plain,
% 7.06/5.70 (~xuntil2p30(s148)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31630, 31626])).
% 7.06/5.70 tff(31632,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31633,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31634,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s148) | xuntil2p30(s148) | (~until2p29(s148))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 7.06/5.70 tff(31635,plain,
% 7.06/5.70 (xuntil2p30(s148) | (~until2p29(s148))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31634, 30068, 27991])).
% 7.06/5.70 tff(31636,plain,
% 7.06/5.70 (~until2p29(s148)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31635, 31631])).
% 7.06/5.70 tff(31637,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31638,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31639,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 7.06/5.70 tff(31640,plain,
% 7.06/5.70 (until2p29(s148) | (~xuntil2p30(s147))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31639, 12033, 30083])).
% 7.06/5.70 tff(31641,plain,
% 7.06/5.70 (~xuntil2p30(s147)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31640, 31636])).
% 7.06/5.70 tff(31642,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31643,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31644,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s147) | xuntil2p30(s147) | (~until2p29(s147))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31643, 31642])).
% 7.06/5.70 tff(31645,plain,
% 7.06/5.70 (xuntil2p30(s147) | (~until2p29(s147))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31644, 30068, 24923])).
% 7.06/5.70 tff(31646,plain,
% 7.06/5.70 (~until2p29(s147)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31645, 31641])).
% 7.06/5.70 tff(31647,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31648,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31649,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 7.06/5.70 tff(31650,plain,
% 7.06/5.70 (until2p29(s147) | (~xuntil2p30(s146))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31649, 11958, 30083])).
% 7.06/5.70 tff(31651,plain,
% 7.06/5.70 (~xuntil2p30(s146)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31650, 31646])).
% 7.06/5.70 tff(31652,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31653,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31654,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s146) | xuntil2p30(s146) | (~until2p29(s146))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31653, 31652])).
% 7.06/5.70 tff(31655,plain,
% 7.06/5.70 (xuntil2p30(s146) | (~until2p29(s146))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31654, 30068, 24932])).
% 7.06/5.70 tff(31656,plain,
% 7.06/5.70 (~until2p29(s146)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31655, 31651])).
% 7.06/5.70 tff(31657,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31658,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31659,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31658, 31657])).
% 7.06/5.70 tff(31660,plain,
% 7.06/5.70 (until2p29(s146) | (~xuntil2p30(s145))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31659, 11894, 30083])).
% 7.06/5.70 tff(31661,plain,
% 7.06/5.70 (~xuntil2p30(s145)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31660, 31656])).
% 7.06/5.70 tff(31662,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31663,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31664,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s145) | xuntil2p30(s145) | (~until2p29(s145))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 7.06/5.70 tff(31665,plain,
% 7.06/5.70 (xuntil2p30(s145) | (~until2p29(s145))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31664, 30068, 24936])).
% 7.06/5.70 tff(31666,plain,
% 7.06/5.70 (~until2p29(s145)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31665, 31661])).
% 7.06/5.70 tff(31667,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31668,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31669,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31668, 31667])).
% 7.06/5.70 tff(31670,plain,
% 7.06/5.70 (until2p29(s145) | (~xuntil2p30(s144))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31669, 11799, 30083])).
% 7.06/5.70 tff(31671,plain,
% 7.06/5.70 (~xuntil2p30(s144)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31670, 31666])).
% 7.06/5.70 tff(31672,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31673,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31674,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s144) | xuntil2p30(s144) | (~until2p29(s144))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 7.06/5.70 tff(31675,plain,
% 7.06/5.70 (xuntil2p30(s144) | (~until2p29(s144))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31674, 30068, 27937])).
% 7.06/5.70 tff(31676,plain,
% 7.06/5.70 (~until2p29(s144)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31675, 31671])).
% 7.06/5.70 tff(31677,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31678,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31679,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 7.06/5.70 tff(31680,plain,
% 7.06/5.70 (until2p29(s144) | (~xuntil2p30(s143))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31679, 11738, 30083])).
% 7.06/5.70 tff(31681,plain,
% 7.06/5.70 (~xuntil2p30(s143)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31680, 31676])).
% 7.06/5.70 tff(31682,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31683,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31684,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s143) | xuntil2p30(s143) | (~until2p29(s143))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31683, 31682])).
% 7.06/5.70 tff(31685,plain,
% 7.06/5.70 (xuntil2p30(s143) | (~until2p29(s143))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31684, 30068, 24952])).
% 7.06/5.70 tff(31686,plain,
% 7.06/5.70 (~until2p29(s143)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31685, 31681])).
% 7.06/5.70 tff(31687,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31688,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31689,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31688, 31687])).
% 7.06/5.70 tff(31690,plain,
% 7.06/5.70 (until2p29(s143) | (~xuntil2p30(s142))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31689, 11660, 30083])).
% 7.06/5.70 tff(31691,plain,
% 7.06/5.70 (~xuntil2p30(s142)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31690, 31686])).
% 7.06/5.70 tff(31692,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31693,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31694,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s142) | xuntil2p30(s142) | (~until2p29(s142))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 7.06/5.70 tff(31695,plain,
% 7.06/5.70 (xuntil2p30(s142) | (~until2p29(s142))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31694, 30068, 24961])).
% 7.06/5.70 tff(31696,plain,
% 7.06/5.70 (~until2p29(s142)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31695, 31691])).
% 7.06/5.70 tff(31697,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31698,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31699,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 7.06/5.70 tff(31700,plain,
% 7.06/5.70 (until2p29(s142) | (~xuntil2p30(s141))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31699, 11561, 30083])).
% 7.06/5.70 tff(31701,plain,
% 7.06/5.70 (~xuntil2p30(s141)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31700, 31696])).
% 7.06/5.70 tff(31702,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31703,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31704,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s141) | xuntil2p30(s141) | (~until2p29(s141))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31703, 31702])).
% 7.06/5.70 tff(31705,plain,
% 7.06/5.70 (xuntil2p30(s141) | (~until2p29(s141))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31704, 30068, 24965])).
% 7.06/5.70 tff(31706,plain,
% 7.06/5.70 (~until2p29(s141)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31705, 31701])).
% 7.06/5.70 tff(31707,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31708,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))),
% 7.06/5.70 inference(quant_inst,[status(thm)],[])).
% 7.06/5.70 tff(31709,plain,
% 7.06/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140))),
% 7.06/5.70 inference(modus_ponens,[status(thm)],[31708, 31707])).
% 7.06/5.70 tff(31710,plain,
% 7.06/5.70 (until2p29(s141) | (~xuntil2p30(s140))),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31709, 11494, 30083])).
% 7.06/5.70 tff(31711,plain,
% 7.06/5.70 (~xuntil2p30(s140)),
% 7.06/5.70 inference(unit_resolution,[status(thm)],[31710, 31706])).
% 7.06/5.70 tff(31712,plain,
% 7.06/5.70 (((~![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)))),
% 7.06/5.70 inference(rewrite,[status(thm)],[])).
% 7.06/5.70 tff(31713,plain,
% 7.06/5.70 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31714,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s140) | xuntil2p30(s140) | (~until2p29(s140))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 7.06/5.71 tff(31715,plain,
% 7.06/5.71 (xuntil2p30(s140) | (~until2p29(s140))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31714, 30068, 27883])).
% 7.06/5.71 tff(31716,plain,
% 7.06/5.71 (~until2p29(s140)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31715, 31711])).
% 7.06/5.71 tff(31717,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31718,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31719,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 7.06/5.71 tff(31720,plain,
% 7.06/5.71 (until2p29(s140) | (~xuntil2p30(s139))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31719, 11405, 30083])).
% 7.06/5.71 tff(31721,plain,
% 7.06/5.71 (~xuntil2p30(s139)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31720, 31716])).
% 7.06/5.71 tff(31722,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31723,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31724,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s139) | xuntil2p30(s139) | (~until2p29(s139))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31723, 31722])).
% 7.06/5.71 tff(31725,plain,
% 7.06/5.71 (xuntil2p30(s139) | (~until2p29(s139))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31724, 30068, 24981])).
% 7.06/5.71 tff(31726,plain,
% 7.06/5.71 (~until2p29(s139)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31725, 31721])).
% 7.06/5.71 tff(31727,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31728,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31729,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 7.06/5.71 tff(31730,plain,
% 7.06/5.71 (until2p29(s139) | (~xuntil2p30(s138))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31729, 11330, 30083])).
% 7.06/5.71 tff(31731,plain,
% 7.06/5.71 (~xuntil2p30(s138)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31730, 31726])).
% 7.06/5.71 tff(31732,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31733,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31734,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s138) | xuntil2p30(s138) | (~until2p29(s138))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31733, 31732])).
% 7.06/5.71 tff(31735,plain,
% 7.06/5.71 (xuntil2p30(s138) | (~until2p29(s138))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31734, 30068, 24990])).
% 7.06/5.71 tff(31736,plain,
% 7.06/5.71 (~until2p29(s138)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31735, 31731])).
% 7.06/5.71 tff(31737,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31738,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31739,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31738, 31737])).
% 7.06/5.71 tff(31740,plain,
% 7.06/5.71 (until2p29(s138) | (~xuntil2p30(s137))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31739, 11266, 30083])).
% 7.06/5.71 tff(31741,plain,
% 7.06/5.71 (~xuntil2p30(s137)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31740, 31736])).
% 7.06/5.71 tff(31742,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31743,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31744,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s137) | xuntil2p30(s137) | (~until2p29(s137))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 7.06/5.71 tff(31745,plain,
% 7.06/5.71 (xuntil2p30(s137) | (~until2p29(s137))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31744, 30068, 24994])).
% 7.06/5.71 tff(31746,plain,
% 7.06/5.71 (~until2p29(s137)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31745, 31741])).
% 7.06/5.71 tff(31747,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31748,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31749,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 7.06/5.71 tff(31750,plain,
% 7.06/5.71 (until2p29(s137) | (~xuntil2p30(s136))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31749, 11171, 30083])).
% 7.06/5.71 tff(31751,plain,
% 7.06/5.71 (~xuntil2p30(s136)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31750, 31746])).
% 7.06/5.71 tff(31752,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31753,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31754,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s136) | xuntil2p30(s136) | (~until2p29(s136))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31753, 31752])).
% 7.06/5.71 tff(31755,plain,
% 7.06/5.71 (xuntil2p30(s136) | (~until2p29(s136))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31754, 30068, 27829])).
% 7.06/5.71 tff(31756,plain,
% 7.06/5.71 (~until2p29(s136)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31755, 31751])).
% 7.06/5.71 tff(31757,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31758,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31759,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 7.06/5.71 tff(31760,plain,
% 7.06/5.71 (until2p29(s136) | (~xuntil2p30(s135))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31759, 11110, 30083])).
% 7.06/5.71 tff(31761,plain,
% 7.06/5.71 (~xuntil2p30(s135)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31760, 31756])).
% 7.06/5.71 tff(31762,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31763,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31764,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s135) | xuntil2p30(s135) | (~until2p29(s135))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 7.06/5.71 tff(31765,plain,
% 7.06/5.71 (xuntil2p30(s135) | (~until2p29(s135))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31764, 30068, 25010])).
% 7.06/5.71 tff(31766,plain,
% 7.06/5.71 (~until2p29(s135)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31765, 31761])).
% 7.06/5.71 tff(31767,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31768,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31769,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31768, 31767])).
% 7.06/5.71 tff(31770,plain,
% 7.06/5.71 (until2p29(s135) | (~xuntil2p30(s134))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31769, 11032, 30083])).
% 7.06/5.71 tff(31771,plain,
% 7.06/5.71 (~xuntil2p30(s134)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31770, 31766])).
% 7.06/5.71 tff(31772,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31773,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31774,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s134) | xuntil2p30(s134) | (~until2p29(s134))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31773, 31772])).
% 7.06/5.71 tff(31775,plain,
% 7.06/5.71 (xuntil2p30(s134) | (~until2p29(s134))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31774, 30068, 25019])).
% 7.06/5.71 tff(31776,plain,
% 7.06/5.71 (~until2p29(s134)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31775, 31771])).
% 7.06/5.71 tff(31777,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31778,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31779,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31778, 31777])).
% 7.06/5.71 tff(31780,plain,
% 7.06/5.71 (until2p29(s134) | (~xuntil2p30(s133))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31779, 10933, 30083])).
% 7.06/5.71 tff(31781,plain,
% 7.06/5.71 (~xuntil2p30(s133)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31780, 31776])).
% 7.06/5.71 tff(31782,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31783,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31784,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s133) | xuntil2p30(s133) | (~until2p29(s133))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31783, 31782])).
% 7.06/5.71 tff(31785,plain,
% 7.06/5.71 (xuntil2p30(s133) | (~until2p29(s133))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31784, 30068, 25023])).
% 7.06/5.71 tff(31786,plain,
% 7.06/5.71 (~until2p29(s133)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31785, 31781])).
% 7.06/5.71 tff(31787,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31788,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31789,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31788, 31787])).
% 7.06/5.71 tff(31790,plain,
% 7.06/5.71 (until2p29(s133) | (~xuntil2p30(s132))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31789, 10866, 30083])).
% 7.06/5.71 tff(31791,plain,
% 7.06/5.71 (~xuntil2p30(s132)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31790, 31786])).
% 7.06/5.71 tff(31792,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31793,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31794,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s132) | xuntil2p30(s132) | (~until2p29(s132))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 7.06/5.71 tff(31795,plain,
% 7.06/5.71 (xuntil2p30(s132) | (~until2p29(s132))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31794, 30068, 27775])).
% 7.06/5.71 tff(31796,plain,
% 7.06/5.71 (~until2p29(s132)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31795, 31791])).
% 7.06/5.71 tff(31797,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31798,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31799,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 7.06/5.71 tff(31800,plain,
% 7.06/5.71 (until2p29(s132) | (~xuntil2p30(s131))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31799, 10777, 30083])).
% 7.06/5.71 tff(31801,plain,
% 7.06/5.71 (~xuntil2p30(s131)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31800, 31796])).
% 7.06/5.71 tff(31802,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31803,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31804,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s131) | xuntil2p30(s131) | (~until2p29(s131))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 7.06/5.71 tff(31805,plain,
% 7.06/5.71 (xuntil2p30(s131) | (~until2p29(s131))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31804, 30068, 25039])).
% 7.06/5.71 tff(31806,plain,
% 7.06/5.71 (~until2p29(s131)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31805, 31801])).
% 7.06/5.71 tff(31807,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31808,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31809,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 7.06/5.71 tff(31810,plain,
% 7.06/5.71 (until2p29(s131) | (~xuntil2p30(s130))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31809, 10702, 30083])).
% 7.06/5.71 tff(31811,plain,
% 7.06/5.71 (~xuntil2p30(s130)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31810, 31806])).
% 7.06/5.71 tff(31812,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31813,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31814,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s130) | xuntil2p30(s130) | (~until2p29(s130))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 7.06/5.71 tff(31815,plain,
% 7.06/5.71 (xuntil2p30(s130) | (~until2p29(s130))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31814, 30068, 25048])).
% 7.06/5.71 tff(31816,plain,
% 7.06/5.71 (~until2p29(s130)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31815, 31811])).
% 7.06/5.71 tff(31817,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31818,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31819,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31818, 31817])).
% 7.06/5.71 tff(31820,plain,
% 7.06/5.71 (until2p29(s130) | (~xuntil2p30(s129))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31819, 10638, 30083])).
% 7.06/5.71 tff(31821,plain,
% 7.06/5.71 (~xuntil2p30(s129)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31820, 31816])).
% 7.06/5.71 tff(31822,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31823,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31824,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s129) | xuntil2p30(s129) | (~until2p29(s129))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31823, 31822])).
% 7.06/5.71 tff(31825,plain,
% 7.06/5.71 (xuntil2p30(s129) | (~until2p29(s129))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31824, 30068, 25052])).
% 7.06/5.71 tff(31826,plain,
% 7.06/5.71 (~until2p29(s129)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31825, 31821])).
% 7.06/5.71 tff(31827,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31828,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31829,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31828, 31827])).
% 7.06/5.71 tff(31830,plain,
% 7.06/5.71 (until2p29(s129) | (~xuntil2p30(s128))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31829, 10543, 30083])).
% 7.06/5.71 tff(31831,plain,
% 7.06/5.71 (~xuntil2p30(s128)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31830, 31826])).
% 7.06/5.71 tff(31832,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31833,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31834,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s128) | xuntil2p30(s128) | (~until2p29(s128))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 7.06/5.71 tff(31835,plain,
% 7.06/5.71 (xuntil2p30(s128) | (~until2p29(s128))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31834, 30068, 27721])).
% 7.06/5.71 tff(31836,plain,
% 7.06/5.71 (~until2p29(s128)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31835, 31831])).
% 7.06/5.71 tff(31837,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31838,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31839,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 7.06/5.71 tff(31840,plain,
% 7.06/5.71 (until2p29(s128) | (~xuntil2p30(s127))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31839, 10482, 30083])).
% 7.06/5.71 tff(31841,plain,
% 7.06/5.71 (~xuntil2p30(s127)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31840, 31836])).
% 7.06/5.71 tff(31842,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31843,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31844,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s127) | xuntil2p30(s127) | (~until2p29(s127))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 7.06/5.71 tff(31845,plain,
% 7.06/5.71 (xuntil2p30(s127) | (~until2p29(s127))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31844, 30068, 25068])).
% 7.06/5.71 tff(31846,plain,
% 7.06/5.71 (~until2p29(s127)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31845, 31841])).
% 7.06/5.71 tff(31847,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31848,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31849,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 7.06/5.71 tff(31850,plain,
% 7.06/5.71 (until2p29(s127) | (~xuntil2p30(s126))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31849, 10404, 30083])).
% 7.06/5.71 tff(31851,plain,
% 7.06/5.71 (~xuntil2p30(s126)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31850, 31846])).
% 7.06/5.71 tff(31852,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31853,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31854,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s126) | xuntil2p30(s126) | (~until2p29(s126))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31853, 31852])).
% 7.06/5.71 tff(31855,plain,
% 7.06/5.71 (xuntil2p30(s126) | (~until2p29(s126))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31854, 30068, 25077])).
% 7.06/5.71 tff(31856,plain,
% 7.06/5.71 (~until2p29(s126)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31855, 31851])).
% 7.06/5.71 tff(31857,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31858,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31859,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31858, 31857])).
% 7.06/5.71 tff(31860,plain,
% 7.06/5.71 (until2p29(s126) | (~xuntil2p30(s125))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31859, 10305, 30083])).
% 7.06/5.71 tff(31861,plain,
% 7.06/5.71 (~xuntil2p30(s125)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31860, 31856])).
% 7.06/5.71 tff(31862,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31863,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31864,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s125) | xuntil2p30(s125) | (~until2p29(s125))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 7.06/5.71 tff(31865,plain,
% 7.06/5.71 (xuntil2p30(s125) | (~until2p29(s125))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31864, 30068, 25081])).
% 7.06/5.71 tff(31866,plain,
% 7.06/5.71 (~until2p29(s125)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31865, 31861])).
% 7.06/5.71 tff(31867,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31868,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31869,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31868, 31867])).
% 7.06/5.71 tff(31870,plain,
% 7.06/5.71 (until2p29(s125) | (~xuntil2p30(s124))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31869, 10238, 30083])).
% 7.06/5.71 tff(31871,plain,
% 7.06/5.71 (~xuntil2p30(s124)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31870, 31866])).
% 7.06/5.71 tff(31872,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31873,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31874,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s124) | xuntil2p30(s124) | (~until2p29(s124))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 7.06/5.71 tff(31875,plain,
% 7.06/5.71 (xuntil2p30(s124) | (~until2p29(s124))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31874, 30068, 27667])).
% 7.06/5.71 tff(31876,plain,
% 7.06/5.71 (~until2p29(s124)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31875, 31871])).
% 7.06/5.71 tff(31877,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31878,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31879,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 7.06/5.71 tff(31880,plain,
% 7.06/5.71 (until2p29(s124) | (~xuntil2p30(s123))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31879, 10149, 30083])).
% 7.06/5.71 tff(31881,plain,
% 7.06/5.71 (~xuntil2p30(s123)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31880, 31876])).
% 7.06/5.71 tff(31882,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31883,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31884,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s123) | xuntil2p30(s123) | (~until2p29(s123))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31883, 31882])).
% 7.06/5.71 tff(31885,plain,
% 7.06/5.71 (xuntil2p30(s123) | (~until2p29(s123))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31884, 30068, 25097])).
% 7.06/5.71 tff(31886,plain,
% 7.06/5.71 (~until2p29(s123)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31885, 31881])).
% 7.06/5.71 tff(31887,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31888,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31889,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31888, 31887])).
% 7.06/5.71 tff(31890,plain,
% 7.06/5.71 (until2p29(s123) | (~xuntil2p30(s122))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31889, 10074, 30083])).
% 7.06/5.71 tff(31891,plain,
% 7.06/5.71 (~xuntil2p30(s122)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31890, 31886])).
% 7.06/5.71 tff(31892,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31893,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31894,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s122) | xuntil2p30(s122) | (~until2p29(s122))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31893, 31892])).
% 7.06/5.71 tff(31895,plain,
% 7.06/5.71 (xuntil2p30(s122) | (~until2p29(s122))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31894, 30068, 25106])).
% 7.06/5.71 tff(31896,plain,
% 7.06/5.71 (~until2p29(s122)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31895, 31891])).
% 7.06/5.71 tff(31897,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31898,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31899,plain,
% 7.06/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31898, 31897])).
% 7.06/5.71 tff(31900,plain,
% 7.06/5.71 (until2p29(s122) | (~xuntil2p30(s121))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31899, 10010, 30083])).
% 7.06/5.71 tff(31901,plain,
% 7.06/5.71 (~xuntil2p30(s121)),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31900, 31896])).
% 7.06/5.71 tff(31902,plain,
% 7.06/5.71 (((~![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)))),
% 7.06/5.71 inference(rewrite,[status(thm)],[])).
% 7.06/5.71 tff(31903,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))),
% 7.06/5.71 inference(quant_inst,[status(thm)],[])).
% 7.06/5.71 tff(31904,plain,
% 7.06/5.71 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s121) | xuntil2p30(s121) | (~until2p29(s121))),
% 7.06/5.71 inference(modus_ponens,[status(thm)],[31903, 31902])).
% 7.06/5.71 tff(31905,plain,
% 7.06/5.71 (xuntil2p30(s121) | (~until2p29(s121))),
% 7.06/5.71 inference(unit_resolution,[status(thm)],[31904, 30068, 25110])).
% 7.06/5.72 tff(31906,plain,
% 7.06/5.72 (~until2p29(s121)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31905, 31901])).
% 7.06/5.72 tff(31907,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31908,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31909,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31908, 31907])).
% 7.06/5.72 tff(31910,plain,
% 7.06/5.72 (until2p29(s121) | (~xuntil2p30(s120))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31909, 9915, 30083])).
% 7.06/5.72 tff(31911,plain,
% 7.06/5.72 (~xuntil2p30(s120)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31910, 31906])).
% 7.06/5.72 tff(31912,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31913,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31914,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s120) | xuntil2p30(s120) | (~until2p29(s120))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 7.06/5.72 tff(31915,plain,
% 7.06/5.72 (xuntil2p30(s120) | (~until2p29(s120))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31914, 30068, 27613])).
% 7.06/5.72 tff(31916,plain,
% 7.06/5.72 (~until2p29(s120)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31915, 31911])).
% 7.06/5.72 tff(31917,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31918,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31919,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 7.06/5.72 tff(31920,plain,
% 7.06/5.72 (until2p29(s120) | (~xuntil2p30(s119))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31919, 9854, 30083])).
% 7.06/5.72 tff(31921,plain,
% 7.06/5.72 (~xuntil2p30(s119)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31920, 31916])).
% 7.06/5.72 tff(31922,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31923,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31924,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s119) | xuntil2p30(s119) | (~until2p29(s119))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31923, 31922])).
% 7.06/5.72 tff(31925,plain,
% 7.06/5.72 (xuntil2p30(s119) | (~until2p29(s119))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31924, 30068, 25126])).
% 7.06/5.72 tff(31926,plain,
% 7.06/5.72 (~until2p29(s119)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31925, 31921])).
% 7.06/5.72 tff(31927,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31928,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31929,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 7.06/5.72 tff(31930,plain,
% 7.06/5.72 (until2p29(s119) | (~xuntil2p30(s118))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31929, 9776, 30083])).
% 7.06/5.72 tff(31931,plain,
% 7.06/5.72 (~xuntil2p30(s118)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31930, 31926])).
% 7.06/5.72 tff(31932,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31933,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31934,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s118) | xuntil2p30(s118) | (~until2p29(s118))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 7.06/5.72 tff(31935,plain,
% 7.06/5.72 (xuntil2p30(s118) | (~until2p29(s118))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31934, 30068, 25135])).
% 7.06/5.72 tff(31936,plain,
% 7.06/5.72 (~until2p29(s118)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31935, 31931])).
% 7.06/5.72 tff(31937,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31938,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31939,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 7.06/5.72 tff(31940,plain,
% 7.06/5.72 (until2p29(s118) | (~xuntil2p30(s117))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31939, 9677, 30083])).
% 7.06/5.72 tff(31941,plain,
% 7.06/5.72 (~xuntil2p30(s117)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31940, 31936])).
% 7.06/5.72 tff(31942,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31943,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31944,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s117) | xuntil2p30(s117) | (~until2p29(s117))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 7.06/5.72 tff(31945,plain,
% 7.06/5.72 (xuntil2p30(s117) | (~until2p29(s117))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31944, 30068, 25139])).
% 7.06/5.72 tff(31946,plain,
% 7.06/5.72 (~until2p29(s117)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31945, 31941])).
% 7.06/5.72 tff(31947,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31948,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31949,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31948, 31947])).
% 7.06/5.72 tff(31950,plain,
% 7.06/5.72 (until2p29(s117) | (~xuntil2p30(s116))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31949, 9610, 30083])).
% 7.06/5.72 tff(31951,plain,
% 7.06/5.72 (~xuntil2p30(s116)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31950, 31946])).
% 7.06/5.72 tff(31952,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31953,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31954,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s116) | xuntil2p30(s116) | (~until2p29(s116))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31953, 31952])).
% 7.06/5.72 tff(31955,plain,
% 7.06/5.72 (xuntil2p30(s116) | (~until2p29(s116))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31954, 30068, 27559])).
% 7.06/5.72 tff(31956,plain,
% 7.06/5.72 (~until2p29(s116)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31955, 31951])).
% 7.06/5.72 tff(31957,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31958,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31959,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 7.06/5.72 tff(31960,plain,
% 7.06/5.72 (until2p29(s116) | (~xuntil2p30(s115))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31959, 9521, 30083])).
% 7.06/5.72 tff(31961,plain,
% 7.06/5.72 (~xuntil2p30(s115)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31960, 31956])).
% 7.06/5.72 tff(31962,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31963,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31964,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s115) | xuntil2p30(s115) | (~until2p29(s115))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 7.06/5.72 tff(31965,plain,
% 7.06/5.72 (xuntil2p30(s115) | (~until2p29(s115))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31964, 30068, 25155])).
% 7.06/5.72 tff(31966,plain,
% 7.06/5.72 (~until2p29(s115)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31965, 31961])).
% 7.06/5.72 tff(31967,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31968,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31969,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31968, 31967])).
% 7.06/5.72 tff(31970,plain,
% 7.06/5.72 (until2p29(s115) | (~xuntil2p30(s114))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31969, 9446, 30083])).
% 7.06/5.72 tff(31971,plain,
% 7.06/5.72 (~xuntil2p30(s114)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31970, 31966])).
% 7.06/5.72 tff(31972,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31973,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31974,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s114) | xuntil2p30(s114) | (~until2p29(s114))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 7.06/5.72 tff(31975,plain,
% 7.06/5.72 (xuntil2p30(s114) | (~until2p29(s114))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31974, 30068, 25164])).
% 7.06/5.72 tff(31976,plain,
% 7.06/5.72 (~until2p29(s114)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31975, 31971])).
% 7.06/5.72 tff(31977,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31978,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31979,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 7.06/5.72 tff(31980,plain,
% 7.06/5.72 (until2p29(s114) | (~xuntil2p30(s113))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31979, 9382, 30083])).
% 7.06/5.72 tff(31981,plain,
% 7.06/5.72 (~xuntil2p30(s113)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31980, 31976])).
% 7.06/5.72 tff(31982,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31983,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31984,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s113) | xuntil2p30(s113) | (~until2p29(s113))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31983, 31982])).
% 7.06/5.72 tff(31985,plain,
% 7.06/5.72 (xuntil2p30(s113) | (~until2p29(s113))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31984, 30068, 25168])).
% 7.06/5.72 tff(31986,plain,
% 7.06/5.72 (~until2p29(s113)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31985, 31981])).
% 7.06/5.72 tff(31987,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31988,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31989,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31988, 31987])).
% 7.06/5.72 tff(31990,plain,
% 7.06/5.72 (until2p29(s113) | (~xuntil2p30(s112))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31989, 9287, 30083])).
% 7.06/5.72 tff(31991,plain,
% 7.06/5.72 (~xuntil2p30(s112)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31990, 31986])).
% 7.06/5.72 tff(31992,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31993,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31994,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s112) | xuntil2p30(s112) | (~until2p29(s112))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 7.06/5.72 tff(31995,plain,
% 7.06/5.72 (xuntil2p30(s112) | (~until2p29(s112))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31994, 30068, 27505])).
% 7.06/5.72 tff(31996,plain,
% 7.06/5.72 (~until2p29(s112)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31995, 31991])).
% 7.06/5.72 tff(31997,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(31998,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(31999,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 7.06/5.72 tff(32000,plain,
% 7.06/5.72 (until2p29(s112) | (~xuntil2p30(s111))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[31999, 9226, 30083])).
% 7.06/5.72 tff(32001,plain,
% 7.06/5.72 (~xuntil2p30(s111)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32000, 31996])).
% 7.06/5.72 tff(32002,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32003,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32004,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s111) | xuntil2p30(s111) | (~until2p29(s111))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 7.06/5.72 tff(32005,plain,
% 7.06/5.72 (xuntil2p30(s111) | (~until2p29(s111))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32004, 30068, 25184])).
% 7.06/5.72 tff(32006,plain,
% 7.06/5.72 (~until2p29(s111)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32005, 32001])).
% 7.06/5.72 tff(32007,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32008,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32009,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 7.06/5.72 tff(32010,plain,
% 7.06/5.72 (until2p29(s111) | (~xuntil2p30(s110))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32009, 9148, 30083])).
% 7.06/5.72 tff(32011,plain,
% 7.06/5.72 (~xuntil2p30(s110)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32010, 32006])).
% 7.06/5.72 tff(32012,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32013,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32014,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s110) | xuntil2p30(s110) | (~until2p29(s110))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 7.06/5.72 tff(32015,plain,
% 7.06/5.72 (xuntil2p30(s110) | (~until2p29(s110))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32014, 30068, 25193])).
% 7.06/5.72 tff(32016,plain,
% 7.06/5.72 (~until2p29(s110)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32015, 32011])).
% 7.06/5.72 tff(32017,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32018,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32019,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 7.06/5.72 tff(32020,plain,
% 7.06/5.72 (until2p29(s110) | (~xuntil2p30(s109))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32019, 9049, 30083])).
% 7.06/5.72 tff(32021,plain,
% 7.06/5.72 (~xuntil2p30(s109)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32020, 32016])).
% 7.06/5.72 tff(32022,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32023,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32024,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s109) | xuntil2p30(s109) | (~until2p29(s109))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32023, 32022])).
% 7.06/5.72 tff(32025,plain,
% 7.06/5.72 (xuntil2p30(s109) | (~until2p29(s109))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32024, 30068, 25197])).
% 7.06/5.72 tff(32026,plain,
% 7.06/5.72 (~until2p29(s109)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32025, 32021])).
% 7.06/5.72 tff(32027,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32028,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32029,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32028, 32027])).
% 7.06/5.72 tff(32030,plain,
% 7.06/5.72 (until2p29(s109) | (~xuntil2p30(s108))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32029, 8982, 30083])).
% 7.06/5.72 tff(32031,plain,
% 7.06/5.72 (~xuntil2p30(s108)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32030, 32026])).
% 7.06/5.72 tff(32032,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32033,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32034,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s108) | xuntil2p30(s108) | (~until2p29(s108))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32033, 32032])).
% 7.06/5.72 tff(32035,plain,
% 7.06/5.72 (xuntil2p30(s108) | (~until2p29(s108))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32034, 30068, 27451])).
% 7.06/5.72 tff(32036,plain,
% 7.06/5.72 (~until2p29(s108)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32035, 32031])).
% 7.06/5.72 tff(32037,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32038,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32039,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 7.06/5.72 tff(32040,plain,
% 7.06/5.72 (until2p29(s108) | (~xuntil2p30(s107))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32039, 8893, 30083])).
% 7.06/5.72 tff(32041,plain,
% 7.06/5.72 (~xuntil2p30(s107)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32040, 32036])).
% 7.06/5.72 tff(32042,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32043,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32044,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s107) | xuntil2p30(s107) | (~until2p29(s107))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32043, 32042])).
% 7.06/5.72 tff(32045,plain,
% 7.06/5.72 (xuntil2p30(s107) | (~until2p29(s107))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32044, 30068, 25213])).
% 7.06/5.72 tff(32046,plain,
% 7.06/5.72 (~until2p29(s107)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32045, 32041])).
% 7.06/5.72 tff(32047,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32048,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32049,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32048, 32047])).
% 7.06/5.72 tff(32050,plain,
% 7.06/5.72 (until2p29(s107) | (~xuntil2p30(s106))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32049, 8818, 30083])).
% 7.06/5.72 tff(32051,plain,
% 7.06/5.72 (~xuntil2p30(s106)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32050, 32046])).
% 7.06/5.72 tff(32052,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32053,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32054,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s106) | xuntil2p30(s106) | (~until2p29(s106))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 7.06/5.72 tff(32055,plain,
% 7.06/5.72 (xuntil2p30(s106) | (~until2p29(s106))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32054, 30068, 25222])).
% 7.06/5.72 tff(32056,plain,
% 7.06/5.72 (~until2p29(s106)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32055, 32051])).
% 7.06/5.72 tff(32057,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32058,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32059,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 7.06/5.72 tff(32060,plain,
% 7.06/5.72 (until2p29(s106) | (~xuntil2p30(s105))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32059, 8754, 30083])).
% 7.06/5.72 tff(32061,plain,
% 7.06/5.72 (~xuntil2p30(s105)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32060, 32056])).
% 7.06/5.72 tff(32062,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32063,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32064,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s105) | xuntil2p30(s105) | (~until2p29(s105))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32063, 32062])).
% 7.06/5.72 tff(32065,plain,
% 7.06/5.72 (xuntil2p30(s105) | (~until2p29(s105))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32064, 30068, 25226])).
% 7.06/5.72 tff(32066,plain,
% 7.06/5.72 (~until2p29(s105)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32065, 32061])).
% 7.06/5.72 tff(32067,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32068,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32069,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 7.06/5.72 tff(32070,plain,
% 7.06/5.72 (until2p29(s105) | (~xuntil2p30(s104))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32069, 8659, 30083])).
% 7.06/5.72 tff(32071,plain,
% 7.06/5.72 (~xuntil2p30(s104)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32070, 32066])).
% 7.06/5.72 tff(32072,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32073,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32074,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s104) | xuntil2p30(s104) | (~until2p29(s104))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32073, 32072])).
% 7.06/5.72 tff(32075,plain,
% 7.06/5.72 (xuntil2p30(s104) | (~until2p29(s104))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32074, 30068, 27397])).
% 7.06/5.72 tff(32076,plain,
% 7.06/5.72 (~until2p29(s104)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32075, 32071])).
% 7.06/5.72 tff(32077,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32078,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32079,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32078, 32077])).
% 7.06/5.72 tff(32080,plain,
% 7.06/5.72 (until2p29(s104) | (~xuntil2p30(s103))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32079, 8598, 30083])).
% 7.06/5.72 tff(32081,plain,
% 7.06/5.72 (~xuntil2p30(s103)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32080, 32076])).
% 7.06/5.72 tff(32082,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32083,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32084,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s103) | xuntil2p30(s103) | (~until2p29(s103))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 7.06/5.72 tff(32085,plain,
% 7.06/5.72 (xuntil2p30(s103) | (~until2p29(s103))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32084, 30068, 25242])).
% 7.06/5.72 tff(32086,plain,
% 7.06/5.72 (~until2p29(s103)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32085, 32081])).
% 7.06/5.72 tff(32087,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32088,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32089,plain,
% 7.06/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 7.06/5.72 tff(32090,plain,
% 7.06/5.72 (until2p29(s103) | (~xuntil2p30(s102))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32089, 8520, 30083])).
% 7.06/5.72 tff(32091,plain,
% 7.06/5.72 (~xuntil2p30(s102)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32090, 32086])).
% 7.06/5.72 tff(32092,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.72 inference(rewrite,[status(thm)],[])).
% 7.06/5.72 tff(32093,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))),
% 7.06/5.72 inference(quant_inst,[status(thm)],[])).
% 7.06/5.72 tff(32094,plain,
% 7.06/5.72 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s102) | xuntil2p30(s102) | (~until2p29(s102))),
% 7.06/5.72 inference(modus_ponens,[status(thm)],[32093, 32092])).
% 7.06/5.72 tff(32095,plain,
% 7.06/5.72 (xuntil2p30(s102) | (~until2p29(s102))),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32094, 30068, 25251])).
% 7.06/5.72 tff(32096,plain,
% 7.06/5.72 (~until2p29(s102)),
% 7.06/5.72 inference(unit_resolution,[status(thm)],[32095, 32091])).
% 7.06/5.72 tff(32097,plain,
% 7.06/5.72 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32098,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32099,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 7.06/5.73 tff(32100,plain,
% 7.06/5.73 (until2p29(s102) | (~xuntil2p30(s101))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32099, 8421, 30083])).
% 7.06/5.73 tff(32101,plain,
% 7.06/5.73 (~xuntil2p30(s101)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32100, 32096])).
% 7.06/5.73 tff(32102,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32103,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32104,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s101) | xuntil2p30(s101) | (~until2p29(s101))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 7.06/5.73 tff(32105,plain,
% 7.06/5.73 (xuntil2p30(s101) | (~until2p29(s101))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32104, 30068, 25255])).
% 7.06/5.73 tff(32106,plain,
% 7.06/5.73 (~until2p29(s101)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32105, 32101])).
% 7.06/5.73 tff(32107,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32108,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32109,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 7.06/5.73 tff(32110,plain,
% 7.06/5.73 (until2p29(s101) | (~xuntil2p30(s100))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32109, 8354, 30083])).
% 7.06/5.73 tff(32111,plain,
% 7.06/5.73 (~xuntil2p30(s100)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32110, 32106])).
% 7.06/5.73 tff(32112,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32113,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32114,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s100) | xuntil2p30(s100) | (~until2p29(s100))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 7.06/5.73 tff(32115,plain,
% 7.06/5.73 (xuntil2p30(s100) | (~until2p29(s100))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32114, 30068, 27343])).
% 7.06/5.73 tff(32116,plain,
% 7.06/5.73 (~until2p29(s100)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32115, 32111])).
% 7.06/5.73 tff(32117,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32118,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32119,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32118, 32117])).
% 7.06/5.73 tff(32120,plain,
% 7.06/5.73 (until2p29(s100) | (~xuntil2p30(s99))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32119, 8265, 30083])).
% 7.06/5.73 tff(32121,plain,
% 7.06/5.73 (~xuntil2p30(s99)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32120, 32116])).
% 7.06/5.73 tff(32122,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32123,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32124,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s99) | xuntil2p30(s99) | (~until2p29(s99))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 7.06/5.73 tff(32125,plain,
% 7.06/5.73 (xuntil2p30(s99) | (~until2p29(s99))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32124, 30068, 25271])).
% 7.06/5.73 tff(32126,plain,
% 7.06/5.73 (~until2p29(s99)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32125, 32121])).
% 7.06/5.73 tff(32127,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32128,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32129,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 7.06/5.73 tff(32130,plain,
% 7.06/5.73 (until2p29(s99) | (~xuntil2p30(s98))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32129, 8190, 30083])).
% 7.06/5.73 tff(32131,plain,
% 7.06/5.73 (~xuntil2p30(s98)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32130, 32126])).
% 7.06/5.73 tff(32132,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32133,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32134,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s98) | xuntil2p30(s98) | (~until2p29(s98))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 7.06/5.73 tff(32135,plain,
% 7.06/5.73 (xuntil2p30(s98) | (~until2p29(s98))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32134, 30068, 25280])).
% 7.06/5.73 tff(32136,plain,
% 7.06/5.73 (~until2p29(s98)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32135, 32131])).
% 7.06/5.73 tff(32137,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32138,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32139,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32138, 32137])).
% 7.06/5.73 tff(32140,plain,
% 7.06/5.73 (until2p29(s98) | (~xuntil2p30(s97))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32139, 8126, 30083])).
% 7.06/5.73 tff(32141,plain,
% 7.06/5.73 (~xuntil2p30(s97)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32140, 32136])).
% 7.06/5.73 tff(32142,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32143,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32144,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s97) | xuntil2p30(s97) | (~until2p29(s97))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32143, 32142])).
% 7.06/5.73 tff(32145,plain,
% 7.06/5.73 (xuntil2p30(s97) | (~until2p29(s97))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32144, 30068, 25284])).
% 7.06/5.73 tff(32146,plain,
% 7.06/5.73 (~until2p29(s97)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32145, 32141])).
% 7.06/5.73 tff(32147,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32148,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32149,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32148, 32147])).
% 7.06/5.73 tff(32150,plain,
% 7.06/5.73 (until2p29(s97) | (~xuntil2p30(s96))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32149, 8031, 30083])).
% 7.06/5.73 tff(32151,plain,
% 7.06/5.73 (~xuntil2p30(s96)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32150, 32146])).
% 7.06/5.73 tff(32152,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32153,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32154,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s96) | xuntil2p30(s96) | (~until2p29(s96))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32153, 32152])).
% 7.06/5.73 tff(32155,plain,
% 7.06/5.73 (xuntil2p30(s96) | (~until2p29(s96))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32154, 30068, 27289])).
% 7.06/5.73 tff(32156,plain,
% 7.06/5.73 (~until2p29(s96)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32155, 32151])).
% 7.06/5.73 tff(32157,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32158,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32159,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32158, 32157])).
% 7.06/5.73 tff(32160,plain,
% 7.06/5.73 (until2p29(s96) | (~xuntil2p30(s95))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32159, 7970, 30083])).
% 7.06/5.73 tff(32161,plain,
% 7.06/5.73 (~xuntil2p30(s95)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32160, 32156])).
% 7.06/5.73 tff(32162,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32163,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32164,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s95) | xuntil2p30(s95) | (~until2p29(s95))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32163, 32162])).
% 7.06/5.73 tff(32165,plain,
% 7.06/5.73 (xuntil2p30(s95) | (~until2p29(s95))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32164, 30068, 25300])).
% 7.06/5.73 tff(32166,plain,
% 7.06/5.73 (~until2p29(s95)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32165, 32161])).
% 7.06/5.73 tff(32167,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32168,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32169,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32168, 32167])).
% 7.06/5.73 tff(32170,plain,
% 7.06/5.73 (until2p29(s95) | (~xuntil2p30(s94))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32169, 7892, 30083])).
% 7.06/5.73 tff(32171,plain,
% 7.06/5.73 (~xuntil2p30(s94)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32170, 32166])).
% 7.06/5.73 tff(32172,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32173,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32174,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s94) | xuntil2p30(s94) | (~until2p29(s94))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 7.06/5.73 tff(32175,plain,
% 7.06/5.73 (xuntil2p30(s94) | (~until2p29(s94))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32174, 30068, 25309])).
% 7.06/5.73 tff(32176,plain,
% 7.06/5.73 (~until2p29(s94)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32175, 32171])).
% 7.06/5.73 tff(32177,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32178,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32179,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32178, 32177])).
% 7.06/5.73 tff(32180,plain,
% 7.06/5.73 (until2p29(s94) | (~xuntil2p30(s93))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32179, 7793, 30083])).
% 7.06/5.73 tff(32181,plain,
% 7.06/5.73 (~xuntil2p30(s93)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32180, 32176])).
% 7.06/5.73 tff(32182,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32183,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32184,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s93) | xuntil2p30(s93) | (~until2p29(s93))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 7.06/5.73 tff(32185,plain,
% 7.06/5.73 (xuntil2p30(s93) | (~until2p29(s93))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32184, 30068, 25313])).
% 7.06/5.73 tff(32186,plain,
% 7.06/5.73 (~until2p29(s93)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32185, 32181])).
% 7.06/5.73 tff(32187,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32188,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32189,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32188, 32187])).
% 7.06/5.73 tff(32190,plain,
% 7.06/5.73 (until2p29(s93) | (~xuntil2p30(s92))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32189, 7726, 30083])).
% 7.06/5.73 tff(32191,plain,
% 7.06/5.73 (~xuntil2p30(s92)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32190, 32186])).
% 7.06/5.73 tff(32192,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32193,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32194,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s92) | xuntil2p30(s92) | (~until2p29(s92))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 7.06/5.73 tff(32195,plain,
% 7.06/5.73 (xuntil2p30(s92) | (~until2p29(s92))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32194, 30068, 27235])).
% 7.06/5.73 tff(32196,plain,
% 7.06/5.73 (~until2p29(s92)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32195, 32191])).
% 7.06/5.73 tff(32197,assumption,(~until2p29(s92)), introduced(assumption)).
% 7.06/5.73 tff(32198,assumption,(trans(s299, s92)), introduced(assumption)).
% 7.06/5.73 tff(32199,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32200,plain,
% 7.06/5.73 (((~trans(s299, s92)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s92)) <=> (until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32201,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92))))),
% 7.06/5.73 inference(monotonicity,[status(thm)],[32200])).
% 7.06/5.73 tff(32202,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92)))),
% 7.06/5.73 inference(transitivity,[status(thm)],[32201, 32199])).
% 7.06/5.73 tff(32203,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s92))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32204,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s92))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32203, 32202])).
% 7.06/5.73 tff(32205,plain,
% 7.06/5.73 ($false),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32204, 30054, 32198, 30252, 32197, 30703])).
% 7.06/5.73 tff(32206,plain,((~trans(s299, s92)) | until2p29(s92) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.73 tff(32207,plain,
% 7.06/5.73 (~trans(s299, s92)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32206, 32196, 30043])).
% 7.06/5.73 tff(32208,assumption,(~until2p29(s131)), introduced(assumption)).
% 7.06/5.73 tff(32209,assumption,(trans(s299, s131)), introduced(assumption)).
% 7.06/5.73 tff(32210,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32211,plain,
% 7.06/5.73 (((~trans(s299, s131)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s131)) <=> (until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32212,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131))))),
% 7.06/5.73 inference(monotonicity,[status(thm)],[32211])).
% 7.06/5.73 tff(32213,plain,
% 7.06/5.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131)))),
% 7.06/5.73 inference(transitivity,[status(thm)],[32212, 32210])).
% 7.06/5.73 tff(32214,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s131))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32215,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s131))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32214, 32213])).
% 7.06/5.73 tff(32216,plain,
% 7.06/5.73 ($false),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32215, 30054, 32209, 30252, 32208, 30703])).
% 7.06/5.73 tff(32217,plain,((~trans(s299, s131)) | until2p29(s131) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.73 tff(32218,plain,
% 7.06/5.73 (~trans(s299, s131)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32217, 31806, 30043])).
% 7.06/5.73 tff(32219,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32220,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32221,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 7.06/5.73 tff(32222,plain,
% 7.06/5.73 (until2p29(s92) | (~xuntil2p30(s91))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32221, 7637, 30083])).
% 7.06/5.73 tff(32223,plain,
% 7.06/5.73 (~xuntil2p30(s91)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32222, 32196])).
% 7.06/5.73 tff(32224,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32225,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32226,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s91) | xuntil2p30(s91) | (~until2p29(s91))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32225, 32224])).
% 7.06/5.73 tff(32227,plain,
% 7.06/5.73 (xuntil2p30(s91) | (~until2p29(s91))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32226, 30068, 25329])).
% 7.06/5.73 tff(32228,plain,
% 7.06/5.73 (~until2p29(s91)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32227, 32223])).
% 7.06/5.73 tff(32229,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32230,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32231,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 7.06/5.73 tff(32232,plain,
% 7.06/5.73 (until2p29(s91) | (~xuntil2p30(s90))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32231, 7562, 30083])).
% 7.06/5.73 tff(32233,plain,
% 7.06/5.73 (~xuntil2p30(s90)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32232, 32228])).
% 7.06/5.73 tff(32234,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32235,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32236,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s90) | xuntil2p30(s90) | (~until2p29(s90))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 7.06/5.73 tff(32237,plain,
% 7.06/5.73 (xuntil2p30(s90) | (~until2p29(s90))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32236, 30068, 25338])).
% 7.06/5.73 tff(32238,plain,
% 7.06/5.73 (~until2p29(s90)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32237, 32233])).
% 7.06/5.73 tff(32239,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32240,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32241,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 7.06/5.73 tff(32242,plain,
% 7.06/5.73 (until2p29(s90) | (~xuntil2p30(s89))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32241, 7498, 30083])).
% 7.06/5.73 tff(32243,plain,
% 7.06/5.73 (~xuntil2p30(s89)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32242, 32238])).
% 7.06/5.73 tff(32244,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32245,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32246,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s89) | xuntil2p30(s89) | (~until2p29(s89))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32245, 32244])).
% 7.06/5.73 tff(32247,plain,
% 7.06/5.73 (xuntil2p30(s89) | (~until2p29(s89))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32246, 30068, 25342])).
% 7.06/5.73 tff(32248,plain,
% 7.06/5.73 (~until2p29(s89)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32247, 32243])).
% 7.06/5.73 tff(32249,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32250,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32251,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32250, 32249])).
% 7.06/5.73 tff(32252,plain,
% 7.06/5.73 (until2p29(s89) | (~xuntil2p30(s88))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32251, 7403, 30083])).
% 7.06/5.73 tff(32253,plain,
% 7.06/5.73 (~xuntil2p30(s88)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32252, 32248])).
% 7.06/5.73 tff(32254,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32255,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32256,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s88) | xuntil2p30(s88) | (~until2p29(s88))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 7.06/5.73 tff(32257,plain,
% 7.06/5.73 (xuntil2p30(s88) | (~until2p29(s88))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32256, 30068, 27181])).
% 7.06/5.73 tff(32258,plain,
% 7.06/5.73 (~until2p29(s88)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32257, 32253])).
% 7.06/5.73 tff(32259,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32260,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32261,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32260, 32259])).
% 7.06/5.73 tff(32262,plain,
% 7.06/5.73 (until2p29(s88) | (~xuntil2p30(s87))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32261, 7342, 30083])).
% 7.06/5.73 tff(32263,plain,
% 7.06/5.73 (~xuntil2p30(s87)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32262, 32258])).
% 7.06/5.73 tff(32264,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32265,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32266,plain,
% 7.06/5.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s87) | xuntil2p30(s87) | (~until2p29(s87))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32265, 32264])).
% 7.06/5.73 tff(32267,plain,
% 7.06/5.73 (xuntil2p30(s87) | (~until2p29(s87))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32266, 30068, 25358])).
% 7.06/5.73 tff(32268,plain,
% 7.06/5.73 (~until2p29(s87)),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32267, 32263])).
% 7.06/5.73 tff(32269,plain,
% 7.06/5.73 (((~![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)))),
% 7.06/5.73 inference(rewrite,[status(thm)],[])).
% 7.06/5.73 tff(32270,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))),
% 7.06/5.73 inference(quant_inst,[status(thm)],[])).
% 7.06/5.73 tff(32271,plain,
% 7.06/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86))),
% 7.06/5.73 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 7.06/5.73 tff(32272,plain,
% 7.06/5.73 (until2p29(s87) | (~xuntil2p30(s86))),
% 7.06/5.73 inference(unit_resolution,[status(thm)],[32271, 7264, 30083])).
% 7.06/5.73 tff(32273,plain,
% 7.06/5.73 (~xuntil2p30(s86)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32272, 32268])).
% 7.06/5.74 tff(32274,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32275,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32276,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s86) | xuntil2p30(s86) | (~until2p29(s86))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32275, 32274])).
% 7.06/5.74 tff(32277,plain,
% 7.06/5.74 (xuntil2p30(s86) | (~until2p29(s86))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32276, 30068, 25367])).
% 7.06/5.74 tff(32278,plain,
% 7.06/5.74 (~until2p29(s86)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32277, 32273])).
% 7.06/5.74 tff(32279,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32280,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32281,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32280, 32279])).
% 7.06/5.74 tff(32282,plain,
% 7.06/5.74 (until2p29(s86) | (~xuntil2p30(s85))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32281, 7165, 30083])).
% 7.06/5.74 tff(32283,plain,
% 7.06/5.74 (~xuntil2p30(s85)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32282, 32278])).
% 7.06/5.74 tff(32284,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32285,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32286,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s85) | xuntil2p30(s85) | (~until2p29(s85))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32285, 32284])).
% 7.06/5.74 tff(32287,plain,
% 7.06/5.74 (xuntil2p30(s85) | (~until2p29(s85))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32286, 30068, 25371])).
% 7.06/5.74 tff(32288,plain,
% 7.06/5.74 (~until2p29(s85)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32287, 32283])).
% 7.06/5.74 tff(32289,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32290,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32291,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32290, 32289])).
% 7.06/5.74 tff(32292,plain,
% 7.06/5.74 (until2p29(s85) | (~xuntil2p30(s84))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32291, 7098, 30083])).
% 7.06/5.74 tff(32293,plain,
% 7.06/5.74 (~xuntil2p30(s84)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32292, 32288])).
% 7.06/5.74 tff(32294,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32295,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32296,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s84) | xuntil2p30(s84) | (~until2p29(s84))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 7.06/5.74 tff(32297,plain,
% 7.06/5.74 (xuntil2p30(s84) | (~until2p29(s84))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32296, 30068, 27127])).
% 7.06/5.74 tff(32298,plain,
% 7.06/5.74 (~until2p29(s84)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32297, 32293])).
% 7.06/5.74 tff(32299,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32300,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32301,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32300, 32299])).
% 7.06/5.74 tff(32302,plain,
% 7.06/5.74 (until2p29(s84) | (~xuntil2p30(s83))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32301, 7009, 30083])).
% 7.06/5.74 tff(32303,plain,
% 7.06/5.74 (~xuntil2p30(s83)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32302, 32298])).
% 7.06/5.74 tff(32304,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32305,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32306,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s83) | xuntil2p30(s83) | (~until2p29(s83))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32305, 32304])).
% 7.06/5.74 tff(32307,plain,
% 7.06/5.74 (xuntil2p30(s83) | (~until2p29(s83))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32306, 30068, 25387])).
% 7.06/5.74 tff(32308,plain,
% 7.06/5.74 (~until2p29(s83)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32307, 32303])).
% 7.06/5.74 tff(32309,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32310,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32311,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32310, 32309])).
% 7.06/5.74 tff(32312,plain,
% 7.06/5.74 (until2p29(s83) | (~xuntil2p30(s82))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32311, 6934, 30083])).
% 7.06/5.74 tff(32313,plain,
% 7.06/5.74 (~xuntil2p30(s82)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32312, 32308])).
% 7.06/5.74 tff(32314,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32315,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32316,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s82) | xuntil2p30(s82) | (~until2p29(s82))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32315, 32314])).
% 7.06/5.74 tff(32317,plain,
% 7.06/5.74 (xuntil2p30(s82) | (~until2p29(s82))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32316, 30068, 25396])).
% 7.06/5.74 tff(32318,plain,
% 7.06/5.74 (~until2p29(s82)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32317, 32313])).
% 7.06/5.74 tff(32319,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32320,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32321,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 7.06/5.74 tff(32322,plain,
% 7.06/5.74 (until2p29(s82) | (~xuntil2p30(s81))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32321, 6870, 30083])).
% 7.06/5.74 tff(32323,plain,
% 7.06/5.74 (~xuntil2p30(s81)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32322, 32318])).
% 7.06/5.74 tff(32324,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32325,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32326,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s81) | xuntil2p30(s81) | (~until2p29(s81))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 7.06/5.74 tff(32327,plain,
% 7.06/5.74 (xuntil2p30(s81) | (~until2p29(s81))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32326, 30068, 25400])).
% 7.06/5.74 tff(32328,plain,
% 7.06/5.74 (~until2p29(s81)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32327, 32323])).
% 7.06/5.74 tff(32329,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32330,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32331,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 7.06/5.74 tff(32332,plain,
% 7.06/5.74 (until2p29(s81) | (~xuntil2p30(s80))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32331, 6775, 30083])).
% 7.06/5.74 tff(32333,plain,
% 7.06/5.74 (~xuntil2p30(s80)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32332, 32328])).
% 7.06/5.74 tff(32334,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32335,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32336,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s80) | xuntil2p30(s80) | (~until2p29(s80))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 7.06/5.74 tff(32337,plain,
% 7.06/5.74 (xuntil2p30(s80) | (~until2p29(s80))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32336, 30068, 27073])).
% 7.06/5.74 tff(32338,plain,
% 7.06/5.74 (~until2p29(s80)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32337, 32333])).
% 7.06/5.74 tff(32339,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32340,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32341,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32340, 32339])).
% 7.06/5.74 tff(32342,plain,
% 7.06/5.74 (until2p29(s80) | (~xuntil2p30(s79))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32341, 6714, 30083])).
% 7.06/5.74 tff(32343,plain,
% 7.06/5.74 (~xuntil2p30(s79)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32342, 32338])).
% 7.06/5.74 tff(32344,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32345,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32346,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s79) | xuntil2p30(s79) | (~until2p29(s79))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32345, 32344])).
% 7.06/5.74 tff(32347,plain,
% 7.06/5.74 (xuntil2p30(s79) | (~until2p29(s79))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32346, 30068, 25416])).
% 7.06/5.74 tff(32348,plain,
% 7.06/5.74 (~until2p29(s79)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32347, 32343])).
% 7.06/5.74 tff(32349,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32350,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32351,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32350, 32349])).
% 7.06/5.74 tff(32352,plain,
% 7.06/5.74 (until2p29(s79) | (~xuntil2p30(s78))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32351, 6636, 30083])).
% 7.06/5.74 tff(32353,plain,
% 7.06/5.74 (~xuntil2p30(s78)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32352, 32348])).
% 7.06/5.74 tff(32354,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32355,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32356,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s78) | xuntil2p30(s78) | (~until2p29(s78))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32355, 32354])).
% 7.06/5.74 tff(32357,plain,
% 7.06/5.74 (xuntil2p30(s78) | (~until2p29(s78))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32356, 30068, 25425])).
% 7.06/5.74 tff(32358,plain,
% 7.06/5.74 (~until2p29(s78)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32357, 32353])).
% 7.06/5.74 tff(32359,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32360,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32361,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32360, 32359])).
% 7.06/5.74 tff(32362,plain,
% 7.06/5.74 (until2p29(s78) | (~xuntil2p30(s77))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32361, 6537, 30083])).
% 7.06/5.74 tff(32363,plain,
% 7.06/5.74 (~xuntil2p30(s77)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32362, 32358])).
% 7.06/5.74 tff(32364,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32365,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32366,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s77) | xuntil2p30(s77) | (~until2p29(s77))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32365, 32364])).
% 7.06/5.74 tff(32367,plain,
% 7.06/5.74 (xuntil2p30(s77) | (~until2p29(s77))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32366, 30068, 25429])).
% 7.06/5.74 tff(32368,plain,
% 7.06/5.74 (~until2p29(s77)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32367, 32363])).
% 7.06/5.74 tff(32369,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32370,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32371,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 7.06/5.74 tff(32372,plain,
% 7.06/5.74 (until2p29(s77) | (~xuntil2p30(s76))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32371, 6470, 30083])).
% 7.06/5.74 tff(32373,plain,
% 7.06/5.74 (~xuntil2p30(s76)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32372, 32368])).
% 7.06/5.74 tff(32374,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32375,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32376,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s76) | xuntil2p30(s76) | (~until2p29(s76))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 7.06/5.74 tff(32377,plain,
% 7.06/5.74 (xuntil2p30(s76) | (~until2p29(s76))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32376, 30068, 27019])).
% 7.06/5.74 tff(32378,plain,
% 7.06/5.74 (~until2p29(s76)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32377, 32373])).
% 7.06/5.74 tff(32379,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32380,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32381,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32380, 32379])).
% 7.06/5.74 tff(32382,plain,
% 7.06/5.74 (until2p29(s76) | (~xuntil2p30(s75))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32381, 6381, 30083])).
% 7.06/5.74 tff(32383,plain,
% 7.06/5.74 (~xuntil2p30(s75)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32382, 32378])).
% 7.06/5.74 tff(32384,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32385,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32386,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s75) | xuntil2p30(s75) | (~until2p29(s75))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 7.06/5.74 tff(32387,plain,
% 7.06/5.74 (xuntil2p30(s75) | (~until2p29(s75))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32386, 30068, 25445])).
% 7.06/5.74 tff(32388,plain,
% 7.06/5.74 (~until2p29(s75)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32387, 32383])).
% 7.06/5.74 tff(32389,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32390,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32391,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32390, 32389])).
% 7.06/5.74 tff(32392,plain,
% 7.06/5.74 (until2p29(s75) | (~xuntil2p30(s74))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32391, 6306, 30083])).
% 7.06/5.74 tff(32393,plain,
% 7.06/5.74 (~xuntil2p30(s74)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32392, 32388])).
% 7.06/5.74 tff(32394,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32395,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32396,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s74) | xuntil2p30(s74) | (~until2p29(s74))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 7.06/5.74 tff(32397,plain,
% 7.06/5.74 (xuntil2p30(s74) | (~until2p29(s74))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32396, 30068, 25454])).
% 7.06/5.74 tff(32398,plain,
% 7.06/5.74 (~until2p29(s74)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32397, 32393])).
% 7.06/5.74 tff(32399,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32400,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32401,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 7.06/5.74 tff(32402,plain,
% 7.06/5.74 (until2p29(s74) | (~xuntil2p30(s73))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32401, 6242, 30083])).
% 7.06/5.74 tff(32403,plain,
% 7.06/5.74 (~xuntil2p30(s73)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32402, 32398])).
% 7.06/5.74 tff(32404,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32405,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32406,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s73) | xuntil2p30(s73) | (~until2p29(s73))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32405, 32404])).
% 7.06/5.74 tff(32407,plain,
% 7.06/5.74 (xuntil2p30(s73) | (~until2p29(s73))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32406, 30068, 25458])).
% 7.06/5.74 tff(32408,plain,
% 7.06/5.74 (~until2p29(s73)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32407, 32403])).
% 7.06/5.74 tff(32409,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32410,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32411,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32410, 32409])).
% 7.06/5.74 tff(32412,plain,
% 7.06/5.74 (until2p29(s73) | (~xuntil2p30(s72))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32411, 6147, 30083])).
% 7.06/5.74 tff(32413,plain,
% 7.06/5.74 (~xuntil2p30(s72)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32412, 32408])).
% 7.06/5.74 tff(32414,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32415,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32416,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s72) | xuntil2p30(s72) | (~until2p29(s72))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 7.06/5.74 tff(32417,plain,
% 7.06/5.74 (xuntil2p30(s72) | (~until2p29(s72))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32416, 30068, 26965])).
% 7.06/5.74 tff(32418,plain,
% 7.06/5.74 (~until2p29(s72)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32417, 32413])).
% 7.06/5.74 tff(32419,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32420,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32421,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32420, 32419])).
% 7.06/5.74 tff(32422,plain,
% 7.06/5.74 (until2p29(s72) | (~xuntil2p30(s71))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32421, 6086, 30083])).
% 7.06/5.74 tff(32423,plain,
% 7.06/5.74 (~xuntil2p30(s71)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32422, 32418])).
% 7.06/5.74 tff(32424,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32425,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32426,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s71) | xuntil2p30(s71) | (~until2p29(s71))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32425, 32424])).
% 7.06/5.74 tff(32427,plain,
% 7.06/5.74 (xuntil2p30(s71) | (~until2p29(s71))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32426, 30068, 25474])).
% 7.06/5.74 tff(32428,plain,
% 7.06/5.74 (~until2p29(s71)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32427, 32423])).
% 7.06/5.74 tff(32429,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32430,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32431,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 7.06/5.74 tff(32432,plain,
% 7.06/5.74 (until2p29(s71) | (~xuntil2p30(s70))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32431, 6008, 30083])).
% 7.06/5.74 tff(32433,plain,
% 7.06/5.74 (~xuntil2p30(s70)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32432, 32428])).
% 7.06/5.74 tff(32434,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32435,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32436,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s70) | xuntil2p30(s70) | (~until2p29(s70))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32435, 32434])).
% 7.06/5.74 tff(32437,plain,
% 7.06/5.74 (xuntil2p30(s70) | (~until2p29(s70))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32436, 30068, 25483])).
% 7.06/5.74 tff(32438,plain,
% 7.06/5.74 (~until2p29(s70)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32437, 32433])).
% 7.06/5.74 tff(32439,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32440,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32441,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32440, 32439])).
% 7.06/5.74 tff(32442,plain,
% 7.06/5.74 (until2p29(s70) | (~xuntil2p30(s69))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32441, 5909, 30083])).
% 7.06/5.74 tff(32443,plain,
% 7.06/5.74 (~xuntil2p30(s69)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32442, 32438])).
% 7.06/5.74 tff(32444,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32445,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32446,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s69) | xuntil2p30(s69) | (~until2p29(s69))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 7.06/5.74 tff(32447,plain,
% 7.06/5.74 (xuntil2p30(s69) | (~until2p29(s69))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32446, 30068, 25487])).
% 7.06/5.74 tff(32448,plain,
% 7.06/5.74 (~until2p29(s69)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32447, 32443])).
% 7.06/5.74 tff(32449,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32450,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32451,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 7.06/5.74 tff(32452,plain,
% 7.06/5.74 (until2p29(s69) | (~xuntil2p30(s68))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32451, 5842, 30083])).
% 7.06/5.74 tff(32453,plain,
% 7.06/5.74 (~xuntil2p30(s68)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32452, 32448])).
% 7.06/5.74 tff(32454,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32455,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32456,plain,
% 7.06/5.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s68) | xuntil2p30(s68) | (~until2p29(s68))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 7.06/5.74 tff(32457,plain,
% 7.06/5.74 (xuntil2p30(s68) | (~until2p29(s68))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32456, 30068, 26911])).
% 7.06/5.74 tff(32458,plain,
% 7.06/5.74 (~until2p29(s68)),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32457, 32453])).
% 7.06/5.74 tff(32459,plain,
% 7.06/5.74 (((~![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)))),
% 7.06/5.74 inference(rewrite,[status(thm)],[])).
% 7.06/5.74 tff(32460,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))),
% 7.06/5.74 inference(quant_inst,[status(thm)],[])).
% 7.06/5.74 tff(32461,plain,
% 7.06/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67))),
% 7.06/5.74 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 7.06/5.74 tff(32462,plain,
% 7.06/5.74 (until2p29(s68) | (~xuntil2p30(s67))),
% 7.06/5.74 inference(unit_resolution,[status(thm)],[32461, 5753, 30083])).
% 7.06/5.74 tff(32463,plain,
% 7.06/5.74 (~xuntil2p30(s67)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32462, 32458])).
% 7.06/5.75 tff(32464,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32465,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32466,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s67) | xuntil2p30(s67) | (~until2p29(s67))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 7.06/5.75 tff(32467,plain,
% 7.06/5.75 (xuntil2p30(s67) | (~until2p29(s67))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32466, 30068, 25503])).
% 7.06/5.75 tff(32468,plain,
% 7.06/5.75 (~until2p29(s67)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32467, 32463])).
% 7.06/5.75 tff(32469,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32470,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32471,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 7.06/5.75 tff(32472,plain,
% 7.06/5.75 (until2p29(s67) | (~xuntil2p30(s66))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32471, 5678, 30083])).
% 7.06/5.75 tff(32473,plain,
% 7.06/5.75 (~xuntil2p30(s66)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32472, 32468])).
% 7.06/5.75 tff(32474,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32475,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32476,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s66) | xuntil2p30(s66) | (~until2p29(s66))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 7.06/5.75 tff(32477,plain,
% 7.06/5.75 (xuntil2p30(s66) | (~until2p29(s66))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32476, 30068, 25512])).
% 7.06/5.75 tff(32478,plain,
% 7.06/5.75 (~until2p29(s66)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32477, 32473])).
% 7.06/5.75 tff(32479,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32480,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32481,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 7.06/5.75 tff(32482,plain,
% 7.06/5.75 (until2p29(s66) | (~xuntil2p30(s65))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32481, 5614, 30083])).
% 7.06/5.75 tff(32483,plain,
% 7.06/5.75 (~xuntil2p30(s65)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32482, 32478])).
% 7.06/5.75 tff(32484,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32485,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32486,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s65) | xuntil2p30(s65) | (~until2p29(s65))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32485, 32484])).
% 7.06/5.75 tff(32487,plain,
% 7.06/5.75 (xuntil2p30(s65) | (~until2p29(s65))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32486, 30068, 25516])).
% 7.06/5.75 tff(32488,plain,
% 7.06/5.75 (~until2p29(s65)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32487, 32483])).
% 7.06/5.75 tff(32489,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32490,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32491,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32490, 32489])).
% 7.06/5.75 tff(32492,plain,
% 7.06/5.75 (until2p29(s65) | (~xuntil2p30(s64))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32491, 5519, 30083])).
% 7.06/5.75 tff(32493,plain,
% 7.06/5.75 (~xuntil2p30(s64)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32492, 32488])).
% 7.06/5.75 tff(32494,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32495,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32496,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32495, 32494])).
% 7.06/5.75 tff(32497,plain,
% 7.06/5.75 (xuntil2p30(s64) | (~until2p29(s64))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32496, 30068, 26857])).
% 7.06/5.75 tff(32498,plain,
% 7.06/5.75 (~until2p29(s64)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32497, 32493])).
% 7.06/5.75 tff(32499,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32500,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32501,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 7.06/5.75 tff(32502,plain,
% 7.06/5.75 (until2p29(s64) | (~xuntil2p30(s63))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32501, 5458, 30083])).
% 7.06/5.75 tff(32503,plain,
% 7.06/5.75 (~xuntil2p30(s63)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32502, 32498])).
% 7.06/5.75 tff(32504,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32505,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32506,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 7.06/5.75 tff(32507,plain,
% 7.06/5.75 (xuntil2p30(s63) | (~until2p29(s63))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32506, 30068, 25532])).
% 7.06/5.75 tff(32508,plain,
% 7.06/5.75 (~until2p29(s63)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32507, 32503])).
% 7.06/5.75 tff(32509,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32510,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32511,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32510, 32509])).
% 7.06/5.75 tff(32512,plain,
% 7.06/5.75 (until2p29(s63) | (~xuntil2p30(s62))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32511, 5380, 30083])).
% 7.06/5.75 tff(32513,plain,
% 7.06/5.75 (~xuntil2p30(s62)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32512, 32508])).
% 7.06/5.75 tff(32514,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32515,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32516,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32515, 32514])).
% 7.06/5.75 tff(32517,plain,
% 7.06/5.75 (xuntil2p30(s62) | (~until2p29(s62))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32516, 30068, 25541])).
% 7.06/5.75 tff(32518,plain,
% 7.06/5.75 (~until2p29(s62)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32517, 32513])).
% 7.06/5.75 tff(32519,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32520,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32521,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32520, 32519])).
% 7.06/5.75 tff(32522,plain,
% 7.06/5.75 (until2p29(s62) | (~xuntil2p30(s61))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32521, 5281, 30083])).
% 7.06/5.75 tff(32523,plain,
% 7.06/5.75 (~xuntil2p30(s61)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32522, 32518])).
% 7.06/5.75 tff(32524,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32525,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32526,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 7.06/5.75 tff(32527,plain,
% 7.06/5.75 (xuntil2p30(s61) | (~until2p29(s61))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32526, 30068, 25545])).
% 7.06/5.75 tff(32528,plain,
% 7.06/5.75 (~until2p29(s61)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32527, 32523])).
% 7.06/5.75 tff(32529,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32530,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32531,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32530, 32529])).
% 7.06/5.75 tff(32532,plain,
% 7.06/5.75 (until2p29(s61) | (~xuntil2p30(s60))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32531, 5214, 30083])).
% 7.06/5.75 tff(32533,plain,
% 7.06/5.75 (~xuntil2p30(s60)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32532, 32528])).
% 7.06/5.75 tff(32534,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32535,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32536,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 7.06/5.75 tff(32537,plain,
% 7.06/5.75 (xuntil2p30(s60) | (~until2p29(s60))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32536, 30068, 26803])).
% 7.06/5.75 tff(32538,plain,
% 7.06/5.75 (~until2p29(s60)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32537, 32533])).
% 7.06/5.75 tff(32539,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32540,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32541,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32540, 32539])).
% 7.06/5.75 tff(32542,plain,
% 7.06/5.75 (until2p29(s60) | (~xuntil2p30(s59))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32541, 5125, 30083])).
% 7.06/5.75 tff(32543,plain,
% 7.06/5.75 (~xuntil2p30(s59)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32542, 32538])).
% 7.06/5.75 tff(32544,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32545,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32546,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 7.06/5.75 tff(32547,plain,
% 7.06/5.75 (xuntil2p30(s59) | (~until2p29(s59))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32546, 30068, 25561])).
% 7.06/5.75 tff(32548,plain,
% 7.06/5.75 (~until2p29(s59)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32547, 32543])).
% 7.06/5.75 tff(32549,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32550,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32551,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32550, 32549])).
% 7.06/5.75 tff(32552,plain,
% 7.06/5.75 (until2p29(s59) | (~xuntil2p30(s58))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32551, 5050, 30083])).
% 7.06/5.75 tff(32553,plain,
% 7.06/5.75 (~xuntil2p30(s58)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32552, 32548])).
% 7.06/5.75 tff(32554,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32555,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32556,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 7.06/5.75 tff(32557,plain,
% 7.06/5.75 (xuntil2p30(s58) | (~until2p29(s58))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32556, 30068, 25570])).
% 7.06/5.75 tff(32558,plain,
% 7.06/5.75 (~until2p29(s58)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32557, 32553])).
% 7.06/5.75 tff(32559,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32560,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32561,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 7.06/5.75 tff(32562,plain,
% 7.06/5.75 (until2p29(s58) | (~xuntil2p30(s57))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32561, 4986, 30083])).
% 7.06/5.75 tff(32563,plain,
% 7.06/5.75 (~xuntil2p30(s57)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32562, 32558])).
% 7.06/5.75 tff(32564,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32565,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32566,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 7.06/5.75 tff(32567,plain,
% 7.06/5.75 (xuntil2p30(s57) | (~until2p29(s57))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32566, 30068, 25574])).
% 7.06/5.75 tff(32568,plain,
% 7.06/5.75 (~until2p29(s57)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32567, 32563])).
% 7.06/5.75 tff(32569,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32570,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32571,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32570, 32569])).
% 7.06/5.75 tff(32572,plain,
% 7.06/5.75 (until2p29(s57) | (~xuntil2p30(s56))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32571, 4891, 30083])).
% 7.06/5.75 tff(32573,plain,
% 7.06/5.75 (~xuntil2p30(s56)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32572, 32568])).
% 7.06/5.75 tff(32574,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32575,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32576,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 7.06/5.75 tff(32577,plain,
% 7.06/5.75 (xuntil2p30(s56) | (~until2p29(s56))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32576, 30068, 26749])).
% 7.06/5.75 tff(32578,plain,
% 7.06/5.75 (~until2p29(s56)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32577, 32573])).
% 7.06/5.75 tff(32579,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32580,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32581,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 7.06/5.75 tff(32582,plain,
% 7.06/5.75 (until2p29(s56) | (~xuntil2p30(s55))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32581, 4830, 30083])).
% 7.06/5.75 tff(32583,plain,
% 7.06/5.75 (~xuntil2p30(s55)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32582, 32578])).
% 7.06/5.75 tff(32584,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32585,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32586,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32585, 32584])).
% 7.06/5.75 tff(32587,plain,
% 7.06/5.75 (xuntil2p30(s55) | (~until2p29(s55))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32586, 30068, 25590])).
% 7.06/5.75 tff(32588,plain,
% 7.06/5.75 (~until2p29(s55)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32587, 32583])).
% 7.06/5.75 tff(32589,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32590,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32591,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 7.06/5.75 tff(32592,plain,
% 7.06/5.75 (until2p29(s55) | (~xuntil2p30(s54))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32591, 4752, 30083])).
% 7.06/5.75 tff(32593,plain,
% 7.06/5.75 (~xuntil2p30(s54)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32592, 32588])).
% 7.06/5.75 tff(32594,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32595,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32596,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32595, 32594])).
% 7.06/5.75 tff(32597,plain,
% 7.06/5.75 (xuntil2p30(s54) | (~until2p29(s54))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32596, 30068, 25599])).
% 7.06/5.75 tff(32598,plain,
% 7.06/5.75 (~until2p29(s54)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32597, 32593])).
% 7.06/5.75 tff(32599,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32600,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32601,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32600, 32599])).
% 7.06/5.75 tff(32602,plain,
% 7.06/5.75 (until2p29(s54) | (~xuntil2p30(s53))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32601, 4653, 30083])).
% 7.06/5.75 tff(32603,plain,
% 7.06/5.75 (~xuntil2p30(s53)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32602, 32598])).
% 7.06/5.75 tff(32604,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32605,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32606,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32605, 32604])).
% 7.06/5.75 tff(32607,plain,
% 7.06/5.75 (xuntil2p30(s53) | (~until2p29(s53))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32606, 30068, 25603])).
% 7.06/5.75 tff(32608,plain,
% 7.06/5.75 (~until2p29(s53)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32607, 32603])).
% 7.06/5.75 tff(32609,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32610,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32611,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32610, 32609])).
% 7.06/5.75 tff(32612,plain,
% 7.06/5.75 (until2p29(s53) | (~xuntil2p30(s52))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32611, 4586, 30083])).
% 7.06/5.75 tff(32613,plain,
% 7.06/5.75 (~xuntil2p30(s52)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32612, 32608])).
% 7.06/5.75 tff(32614,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32615,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32616,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32615, 32614])).
% 7.06/5.75 tff(32617,plain,
% 7.06/5.75 (xuntil2p30(s52) | (~until2p29(s52))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32616, 30068, 26695])).
% 7.06/5.75 tff(32618,plain,
% 7.06/5.75 (~until2p29(s52)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32617, 32613])).
% 7.06/5.75 tff(32619,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32620,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32621,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 7.06/5.75 tff(32622,plain,
% 7.06/5.75 (until2p29(s52) | (~xuntil2p30(s51))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32621, 4497, 30083])).
% 7.06/5.75 tff(32623,plain,
% 7.06/5.75 (~xuntil2p30(s51)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32622, 32618])).
% 7.06/5.75 tff(32624,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32625,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32626,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 7.06/5.75 tff(32627,plain,
% 7.06/5.75 (xuntil2p30(s51) | (~until2p29(s51))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32626, 30068, 25619])).
% 7.06/5.75 tff(32628,plain,
% 7.06/5.75 (~until2p29(s51)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32627, 32623])).
% 7.06/5.75 tff(32629,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32630,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32631,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32630, 32629])).
% 7.06/5.75 tff(32632,plain,
% 7.06/5.75 (until2p29(s51) | (~xuntil2p30(s50))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32631, 4422, 30083])).
% 7.06/5.75 tff(32633,plain,
% 7.06/5.75 (~xuntil2p30(s50)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32632, 32628])).
% 7.06/5.75 tff(32634,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32635,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32636,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32635, 32634])).
% 7.06/5.75 tff(32637,plain,
% 7.06/5.75 (xuntil2p30(s50) | (~until2p29(s50))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32636, 30068, 25628])).
% 7.06/5.75 tff(32638,plain,
% 7.06/5.75 (~until2p29(s50)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32637, 32633])).
% 7.06/5.75 tff(32639,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32640,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32641,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32640, 32639])).
% 7.06/5.75 tff(32642,plain,
% 7.06/5.75 (until2p29(s50) | (~xuntil2p30(s49))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32641, 4358, 30083])).
% 7.06/5.75 tff(32643,plain,
% 7.06/5.75 (~xuntil2p30(s49)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32642, 32638])).
% 7.06/5.75 tff(32644,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32645,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32646,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32645, 32644])).
% 7.06/5.75 tff(32647,plain,
% 7.06/5.75 (xuntil2p30(s49) | (~until2p29(s49))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32646, 30068, 25632])).
% 7.06/5.75 tff(32648,plain,
% 7.06/5.75 (~until2p29(s49)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32647, 32643])).
% 7.06/5.75 tff(32649,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32650,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32651,plain,
% 7.06/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 7.06/5.75 tff(32652,plain,
% 7.06/5.75 (until2p29(s49) | (~xuntil2p30(s48))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32651, 4263, 30083])).
% 7.06/5.75 tff(32653,plain,
% 7.06/5.75 (~xuntil2p30(s48)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32652, 32648])).
% 7.06/5.75 tff(32654,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.75 inference(rewrite,[status(thm)],[])).
% 7.06/5.75 tff(32655,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 7.06/5.75 inference(quant_inst,[status(thm)],[])).
% 7.06/5.75 tff(32656,plain,
% 7.06/5.75 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48))),
% 7.06/5.75 inference(modus_ponens,[status(thm)],[32655, 32654])).
% 7.06/5.75 tff(32657,plain,
% 7.06/5.75 (xuntil2p30(s48) | (~until2p29(s48))),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32656, 30068, 26641])).
% 7.06/5.75 tff(32658,plain,
% 7.06/5.75 (~until2p29(s48)),
% 7.06/5.75 inference(unit_resolution,[status(thm)],[32657, 32653])).
% 7.06/5.75 tff(32659,plain,
% 7.06/5.75 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32660,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32661,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 7.06/5.76 tff(32662,plain,
% 7.06/5.76 (until2p29(s48) | (~xuntil2p30(s47))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32661, 4202, 30083])).
% 7.06/5.76 tff(32663,plain,
% 7.06/5.76 (~xuntil2p30(s47)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32662, 32658])).
% 7.06/5.76 tff(32664,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32665,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32666,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 7.06/5.76 tff(32667,plain,
% 7.06/5.76 (xuntil2p30(s47) | (~until2p29(s47))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32666, 30068, 25648])).
% 7.06/5.76 tff(32668,plain,
% 7.06/5.76 (~until2p29(s47)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32667, 32663])).
% 7.06/5.76 tff(32669,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32670,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32671,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 7.06/5.76 tff(32672,plain,
% 7.06/5.76 (until2p29(s47) | (~xuntil2p30(s46))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32671, 4124, 30083])).
% 7.06/5.76 tff(32673,plain,
% 7.06/5.76 (~xuntil2p30(s46)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32672, 32668])).
% 7.06/5.76 tff(32674,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32675,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32676,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 7.06/5.76 tff(32677,plain,
% 7.06/5.76 (xuntil2p30(s46) | (~until2p29(s46))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32676, 30068, 25657])).
% 7.06/5.76 tff(32678,plain,
% 7.06/5.76 (~until2p29(s46)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32677, 32673])).
% 7.06/5.76 tff(32679,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32680,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32681,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32680, 32679])).
% 7.06/5.76 tff(32682,plain,
% 7.06/5.76 (until2p29(s46) | (~xuntil2p30(s45))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32681, 4025, 30083])).
% 7.06/5.76 tff(32683,plain,
% 7.06/5.76 (~xuntil2p30(s45)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32682, 32678])).
% 7.06/5.76 tff(32684,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32685,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32686,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32685, 32684])).
% 7.06/5.76 tff(32687,plain,
% 7.06/5.76 (xuntil2p30(s45) | (~until2p29(s45))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32686, 30068, 25661])).
% 7.06/5.76 tff(32688,plain,
% 7.06/5.76 (~until2p29(s45)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32687, 32683])).
% 7.06/5.76 tff(32689,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32690,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32691,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 7.06/5.76 tff(32692,plain,
% 7.06/5.76 (until2p29(s45) | (~xuntil2p30(s44))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32691, 3958, 30083])).
% 7.06/5.76 tff(32693,plain,
% 7.06/5.76 (~xuntil2p30(s44)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32692, 32688])).
% 7.06/5.76 tff(32694,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32695,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32696,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32695, 32694])).
% 7.06/5.76 tff(32697,plain,
% 7.06/5.76 (xuntil2p30(s44) | (~until2p29(s44))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32696, 30068, 26587])).
% 7.06/5.76 tff(32698,plain,
% 7.06/5.76 (~until2p29(s44)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32697, 32693])).
% 7.06/5.76 tff(32699,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32700,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32701,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32700, 32699])).
% 7.06/5.76 tff(32702,plain,
% 7.06/5.76 (until2p29(s44) | (~xuntil2p30(s43))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32701, 3869, 30083])).
% 7.06/5.76 tff(32703,plain,
% 7.06/5.76 (~xuntil2p30(s43)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32702, 32698])).
% 7.06/5.76 tff(32704,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32705,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32706,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32705, 32704])).
% 7.06/5.76 tff(32707,plain,
% 7.06/5.76 (xuntil2p30(s43) | (~until2p29(s43))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32706, 30068, 25677])).
% 7.06/5.76 tff(32708,plain,
% 7.06/5.76 (~until2p29(s43)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32707, 32703])).
% 7.06/5.76 tff(32709,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32710,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32711,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32710, 32709])).
% 7.06/5.76 tff(32712,plain,
% 7.06/5.76 (until2p29(s43) | (~xuntil2p30(s42))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32711, 3794, 30083])).
% 7.06/5.76 tff(32713,plain,
% 7.06/5.76 (~xuntil2p30(s42)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32712, 32708])).
% 7.06/5.76 tff(32714,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32715,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32716,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 7.06/5.76 tff(32717,plain,
% 7.06/5.76 (xuntil2p30(s42) | (~until2p29(s42))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32716, 30068, 25686])).
% 7.06/5.76 tff(32718,plain,
% 7.06/5.76 (~until2p29(s42)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32717, 32713])).
% 7.06/5.76 tff(32719,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32720,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32721,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32720, 32719])).
% 7.06/5.76 tff(32722,plain,
% 7.06/5.76 (until2p29(s42) | (~xuntil2p30(s41))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32721, 3730, 30083])).
% 7.06/5.76 tff(32723,plain,
% 7.06/5.76 (~xuntil2p30(s41)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32722, 32718])).
% 7.06/5.76 tff(32724,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32725,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32726,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32725, 32724])).
% 7.06/5.76 tff(32727,plain,
% 7.06/5.76 (xuntil2p30(s41) | (~until2p29(s41))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32726, 30068, 25690])).
% 7.06/5.76 tff(32728,plain,
% 7.06/5.76 (~until2p29(s41)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32727, 32723])).
% 7.06/5.76 tff(32729,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32730,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32731,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 7.06/5.76 tff(32732,plain,
% 7.06/5.76 (until2p29(s41) | (~xuntil2p30(s40))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32731, 3635, 30083])).
% 7.06/5.76 tff(32733,plain,
% 7.06/5.76 (~xuntil2p30(s40)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32732, 32728])).
% 7.06/5.76 tff(32734,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32735,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32736,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 7.06/5.76 tff(32737,plain,
% 7.06/5.76 (xuntil2p30(s40) | (~until2p29(s40))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32736, 30068, 26533])).
% 7.06/5.76 tff(32738,plain,
% 7.06/5.76 (~until2p29(s40)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32737, 32733])).
% 7.06/5.76 tff(32739,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32740,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32741,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 7.06/5.76 tff(32742,plain,
% 7.06/5.76 (until2p29(s40) | (~xuntil2p30(s39))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32741, 3574, 30083])).
% 7.06/5.76 tff(32743,plain,
% 7.06/5.76 (~xuntil2p30(s39)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32742, 32738])).
% 7.06/5.76 tff(32744,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32745,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32746,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 7.06/5.76 tff(32747,plain,
% 7.06/5.76 (xuntil2p30(s39) | (~until2p29(s39))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32746, 30068, 25706])).
% 7.06/5.76 tff(32748,plain,
% 7.06/5.76 (~until2p29(s39)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32747, 32743])).
% 7.06/5.76 tff(32749,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32750,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32751,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 7.06/5.76 tff(32752,plain,
% 7.06/5.76 (until2p29(s39) | (~xuntil2p30(s38))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32751, 3496, 30083])).
% 7.06/5.76 tff(32753,plain,
% 7.06/5.76 (~xuntil2p30(s38)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32752, 32748])).
% 7.06/5.76 tff(32754,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32755,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32756,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32755, 32754])).
% 7.06/5.76 tff(32757,plain,
% 7.06/5.76 (xuntil2p30(s38) | (~until2p29(s38))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32756, 30068, 25715])).
% 7.06/5.76 tff(32758,plain,
% 7.06/5.76 (~until2p29(s38)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32757, 32753])).
% 7.06/5.76 tff(32759,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32760,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32761,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32760, 32759])).
% 7.06/5.76 tff(32762,plain,
% 7.06/5.76 (until2p29(s38) | (~xuntil2p30(s37))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32761, 3397, 30083])).
% 7.06/5.76 tff(32763,plain,
% 7.06/5.76 (~xuntil2p30(s37)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32762, 32758])).
% 7.06/5.76 tff(32764,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32765,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32766,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32765, 32764])).
% 7.06/5.76 tff(32767,plain,
% 7.06/5.76 (xuntil2p30(s37) | (~until2p29(s37))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32766, 30068, 25719])).
% 7.06/5.76 tff(32768,plain,
% 7.06/5.76 (~until2p29(s37)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32767, 32763])).
% 7.06/5.76 tff(32769,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32770,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32771,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32770, 32769])).
% 7.06/5.76 tff(32772,plain,
% 7.06/5.76 (until2p29(s37) | (~xuntil2p30(s36))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32771, 3330, 30083])).
% 7.06/5.76 tff(32773,plain,
% 7.06/5.76 (~xuntil2p30(s36)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32772, 32768])).
% 7.06/5.76 tff(32774,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32775,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32776,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 7.06/5.76 tff(32777,plain,
% 7.06/5.76 (xuntil2p30(s36) | (~until2p29(s36))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32776, 30068, 26479])).
% 7.06/5.76 tff(32778,plain,
% 7.06/5.76 (~until2p29(s36)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32777, 32773])).
% 7.06/5.76 tff(32779,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32780,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32781,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32780, 32779])).
% 7.06/5.76 tff(32782,plain,
% 7.06/5.76 (until2p29(s36) | (~xuntil2p30(s35))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32781, 3241, 30083])).
% 7.06/5.76 tff(32783,plain,
% 7.06/5.76 (~xuntil2p30(s35)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32782, 32778])).
% 7.06/5.76 tff(32784,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32785,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32786,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32785, 32784])).
% 7.06/5.76 tff(32787,plain,
% 7.06/5.76 (xuntil2p30(s35) | (~until2p29(s35))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32786, 30068, 25735])).
% 7.06/5.76 tff(32788,plain,
% 7.06/5.76 (~until2p29(s35)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32787, 32783])).
% 7.06/5.76 tff(32789,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32790,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32791,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32790, 32789])).
% 7.06/5.76 tff(32792,plain,
% 7.06/5.76 (until2p29(s35) | (~xuntil2p30(s34))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32791, 3166, 30083])).
% 7.06/5.76 tff(32793,plain,
% 7.06/5.76 (~xuntil2p30(s34)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32792, 32788])).
% 7.06/5.76 tff(32794,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32795,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32796,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 7.06/5.76 tff(32797,plain,
% 7.06/5.76 (xuntil2p30(s34) | (~until2p29(s34))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32796, 30068, 25744])).
% 7.06/5.76 tff(32798,plain,
% 7.06/5.76 (~until2p29(s34)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32797, 32793])).
% 7.06/5.76 tff(32799,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32800,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32801,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32800, 32799])).
% 7.06/5.76 tff(32802,plain,
% 7.06/5.76 (until2p29(s34) | (~xuntil2p30(s33))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32801, 3102, 30083])).
% 7.06/5.76 tff(32803,plain,
% 7.06/5.76 (~xuntil2p30(s33)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32802, 32798])).
% 7.06/5.76 tff(32804,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32805,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32806,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 7.06/5.76 tff(32807,plain,
% 7.06/5.76 (xuntil2p30(s33) | (~until2p29(s33))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32806, 30068, 25748])).
% 7.06/5.76 tff(32808,plain,
% 7.06/5.76 (~until2p29(s33)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32807, 32803])).
% 7.06/5.76 tff(32809,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32810,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32811,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 7.06/5.76 tff(32812,plain,
% 7.06/5.76 (until2p29(s33) | (~xuntil2p30(s32))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32811, 3007, 30083])).
% 7.06/5.76 tff(32813,plain,
% 7.06/5.76 (~xuntil2p30(s32)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32812, 32808])).
% 7.06/5.76 tff(32814,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32815,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32816,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32815, 32814])).
% 7.06/5.76 tff(32817,plain,
% 7.06/5.76 (xuntil2p30(s32) | (~until2p29(s32))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32816, 30068, 26425])).
% 7.06/5.76 tff(32818,plain,
% 7.06/5.76 (~until2p29(s32)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32817, 32813])).
% 7.06/5.76 tff(32819,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32820,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32821,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32820, 32819])).
% 7.06/5.76 tff(32822,plain,
% 7.06/5.76 (until2p29(s32) | (~xuntil2p30(s31))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32821, 2946, 30083])).
% 7.06/5.76 tff(32823,plain,
% 7.06/5.76 (~xuntil2p30(s31)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32822, 32818])).
% 7.06/5.76 tff(32824,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32825,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32826,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32825, 32824])).
% 7.06/5.76 tff(32827,plain,
% 7.06/5.76 (xuntil2p30(s31) | (~until2p29(s31))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32826, 30068, 25764])).
% 7.06/5.76 tff(32828,plain,
% 7.06/5.76 (~until2p29(s31)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32827, 32823])).
% 7.06/5.76 tff(32829,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32830,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32831,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32830, 32829])).
% 7.06/5.76 tff(32832,plain,
% 7.06/5.76 (until2p29(s31) | (~xuntil2p30(s30))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32831, 2868, 30083])).
% 7.06/5.76 tff(32833,plain,
% 7.06/5.76 (~xuntil2p30(s30)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32832, 32828])).
% 7.06/5.76 tff(32834,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32835,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32836,plain,
% 7.06/5.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 7.06/5.76 tff(32837,plain,
% 7.06/5.76 (xuntil2p30(s30) | (~until2p29(s30))),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32836, 30068, 25773])).
% 7.06/5.76 tff(32838,plain,
% 7.06/5.76 (~until2p29(s30)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32837, 32833])).
% 7.06/5.76 tff(32839,assumption,(~until2p29(s30)), introduced(assumption)).
% 7.06/5.76 tff(32840,assumption,(trans(s299, s30)), introduced(assumption)).
% 7.06/5.76 tff(32841,plain,
% 7.06/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32842,plain,
% 7.06/5.76 (((~trans(s299, s30)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s30)) <=> (until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32843,plain,
% 7.06/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30))))),
% 7.06/5.76 inference(monotonicity,[status(thm)],[32842])).
% 7.06/5.76 tff(32844,plain,
% 7.06/5.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30)))),
% 7.06/5.76 inference(transitivity,[status(thm)],[32843, 32841])).
% 7.06/5.76 tff(32845,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s30))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32846,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s30))),
% 7.06/5.76 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 7.06/5.76 tff(32847,plain,
% 7.06/5.76 ($false),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32846, 30054, 32840, 30252, 32839, 30703])).
% 7.06/5.76 tff(32848,plain,((~trans(s299, s30)) | until2p29(s30) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.76 tff(32849,plain,
% 7.06/5.76 (~trans(s299, s30)),
% 7.06/5.76 inference(unit_resolution,[status(thm)],[32848, 32838, 30043])).
% 7.06/5.76 tff(32850,plain,
% 7.06/5.76 (((~![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)))),
% 7.06/5.76 inference(rewrite,[status(thm)],[])).
% 7.06/5.76 tff(32851,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 7.06/5.76 inference(quant_inst,[status(thm)],[])).
% 7.06/5.76 tff(32852,plain,
% 7.06/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 7.06/5.77 tff(32853,plain,
% 7.06/5.77 (until2p29(s30) | (~xuntil2p30(s29))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32852, 2769, 30083])).
% 7.06/5.77 tff(32854,plain,
% 7.06/5.77 (~xuntil2p30(s29)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32853, 32838])).
% 7.06/5.77 tff(32855,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32856,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32857,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 7.06/5.77 tff(32858,plain,
% 7.06/5.77 (xuntil2p30(s29) | (~until2p29(s29))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32857, 30068, 25777])).
% 7.06/5.77 tff(32859,plain,
% 7.06/5.77 (~until2p29(s29)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32858, 32854])).
% 7.06/5.77 tff(32860,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32861,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32862,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 7.06/5.77 tff(32863,plain,
% 7.06/5.77 (until2p29(s29) | (~xuntil2p30(s28))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32862, 2702, 30083])).
% 7.06/5.77 tff(32864,plain,
% 7.06/5.77 (~xuntil2p30(s28)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32863, 32859])).
% 7.06/5.77 tff(32865,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32866,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32867,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32866, 32865])).
% 7.06/5.77 tff(32868,plain,
% 7.06/5.77 (xuntil2p30(s28) | (~until2p29(s28))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32867, 30068, 26371])).
% 7.06/5.77 tff(32869,plain,
% 7.06/5.77 (~until2p29(s28)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32868, 32864])).
% 7.06/5.77 tff(32870,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32871,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32872,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32871, 32870])).
% 7.06/5.77 tff(32873,plain,
% 7.06/5.77 (until2p29(s28) | (~xuntil2p30(s27))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32872, 2613, 30083])).
% 7.06/5.77 tff(32874,plain,
% 7.06/5.77 (~xuntil2p30(s27)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32873, 32869])).
% 7.06/5.77 tff(32875,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32876,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32877,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32876, 32875])).
% 7.06/5.77 tff(32878,plain,
% 7.06/5.77 (xuntil2p30(s27) | (~until2p29(s27))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32877, 30068, 25793])).
% 7.06/5.77 tff(32879,plain,
% 7.06/5.77 (~until2p29(s27)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32878, 32874])).
% 7.06/5.77 tff(32880,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32881,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32882,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32881, 32880])).
% 7.06/5.77 tff(32883,plain,
% 7.06/5.77 (until2p29(s27) | (~xuntil2p30(s26))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32882, 2538, 30083])).
% 7.06/5.77 tff(32884,plain,
% 7.06/5.77 (~xuntil2p30(s26)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32883, 32879])).
% 7.06/5.77 tff(32885,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32886,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32887,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 7.06/5.77 tff(32888,plain,
% 7.06/5.77 (xuntil2p30(s26) | (~until2p29(s26))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32887, 30068, 25802])).
% 7.06/5.77 tff(32889,plain,
% 7.06/5.77 (~until2p29(s26)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32888, 32884])).
% 7.06/5.77 tff(32890,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32891,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32892,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 7.06/5.77 tff(32893,plain,
% 7.06/5.77 (until2p29(s26) | (~xuntil2p30(s25))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32892, 2474, 30083])).
% 7.06/5.77 tff(32894,plain,
% 7.06/5.77 (~xuntil2p30(s25)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32893, 32889])).
% 7.06/5.77 tff(32895,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32896,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32897,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 7.06/5.77 tff(32898,plain,
% 7.06/5.77 (xuntil2p30(s25) | (~until2p29(s25))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32897, 30068, 25806])).
% 7.06/5.77 tff(32899,plain,
% 7.06/5.77 (~until2p29(s25)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32898, 32894])).
% 7.06/5.77 tff(32900,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32901,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32902,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32901, 32900])).
% 7.06/5.77 tff(32903,plain,
% 7.06/5.77 (until2p29(s25) | (~xuntil2p30(s24))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32902, 2379, 30083])).
% 7.06/5.77 tff(32904,plain,
% 7.06/5.77 (~xuntil2p30(s24)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32903, 32899])).
% 7.06/5.77 tff(32905,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32906,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32907,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32906, 32905])).
% 7.06/5.77 tff(32908,plain,
% 7.06/5.77 (xuntil2p30(s24) | (~until2p29(s24))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32907, 30068, 26317])).
% 7.06/5.77 tff(32909,plain,
% 7.06/5.77 (~until2p29(s24)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32908, 32904])).
% 7.06/5.77 tff(32910,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32911,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32912,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 7.06/5.77 tff(32913,plain,
% 7.06/5.77 (until2p29(s24) | (~xuntil2p30(s23))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32912, 2318, 30083])).
% 7.06/5.77 tff(32914,plain,
% 7.06/5.77 (~xuntil2p30(s23)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32913, 32909])).
% 7.06/5.77 tff(32915,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32916,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32917,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 7.06/5.77 tff(32918,plain,
% 7.06/5.77 (xuntil2p30(s23) | (~until2p29(s23))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32917, 30068, 25822])).
% 7.06/5.77 tff(32919,plain,
% 7.06/5.77 (~until2p29(s23)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32918, 32914])).
% 7.06/5.77 tff(32920,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32921,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32922,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 7.06/5.77 tff(32923,plain,
% 7.06/5.77 (until2p29(s23) | (~xuntil2p30(s22))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32922, 2240, 30083])).
% 7.06/5.77 tff(32924,plain,
% 7.06/5.77 (~xuntil2p30(s22)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32923, 32919])).
% 7.06/5.77 tff(32925,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32926,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32927,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32926, 32925])).
% 7.06/5.77 tff(32928,plain,
% 7.06/5.77 (xuntil2p30(s22) | (~until2p29(s22))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32927, 30068, 25831])).
% 7.06/5.77 tff(32929,plain,
% 7.06/5.77 (~until2p29(s22)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32928, 32924])).
% 7.06/5.77 tff(32930,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32931,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32932,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 7.06/5.77 tff(32933,plain,
% 7.06/5.77 (until2p29(s22) | (~xuntil2p30(s21))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32932, 2141, 30083])).
% 7.06/5.77 tff(32934,plain,
% 7.06/5.77 (~xuntil2p30(s21)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32933, 32929])).
% 7.06/5.77 tff(32935,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32936,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32937,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 7.06/5.77 tff(32938,plain,
% 7.06/5.77 (xuntil2p30(s21) | (~until2p29(s21))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32937, 30068, 25835])).
% 7.06/5.77 tff(32939,plain,
% 7.06/5.77 (~until2p29(s21)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32938, 32934])).
% 7.06/5.77 tff(32940,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32941,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32942,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32941, 32940])).
% 7.06/5.77 tff(32943,plain,
% 7.06/5.77 (until2p29(s21) | (~xuntil2p30(s20))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32942, 2074, 30083])).
% 7.06/5.77 tff(32944,plain,
% 7.06/5.77 (~xuntil2p30(s20)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32943, 32939])).
% 7.06/5.77 tff(32945,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32946,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32947,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32946, 32945])).
% 7.06/5.77 tff(32948,plain,
% 7.06/5.77 (xuntil2p30(s20) | (~until2p29(s20))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32947, 30068, 26263])).
% 7.06/5.77 tff(32949,plain,
% 7.06/5.77 (~until2p29(s20)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32948, 32944])).
% 7.06/5.77 tff(32950,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32951,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32952,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 7.06/5.77 tff(32953,plain,
% 7.06/5.77 (until2p29(s20) | (~xuntil2p30(s19))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32952, 1985, 30083])).
% 7.06/5.77 tff(32954,plain,
% 7.06/5.77 (~xuntil2p30(s19)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32953, 32949])).
% 7.06/5.77 tff(32955,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32956,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32957,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32956, 32955])).
% 7.06/5.77 tff(32958,plain,
% 7.06/5.77 (xuntil2p30(s19) | (~until2p29(s19))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32957, 30068, 25851])).
% 7.06/5.77 tff(32959,plain,
% 7.06/5.77 (~until2p29(s19)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32958, 32954])).
% 7.06/5.77 tff(32960,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32961,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32962,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32961, 32960])).
% 7.06/5.77 tff(32963,plain,
% 7.06/5.77 (until2p29(s19) | (~xuntil2p30(s18))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32962, 1910, 30083])).
% 7.06/5.77 tff(32964,plain,
% 7.06/5.77 (~xuntil2p30(s18)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32963, 32959])).
% 7.06/5.77 tff(32965,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32966,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32967,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32966, 32965])).
% 7.06/5.77 tff(32968,plain,
% 7.06/5.77 (xuntil2p30(s18) | (~until2p29(s18))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32967, 30068, 25860])).
% 7.06/5.77 tff(32969,plain,
% 7.06/5.77 (~until2p29(s18)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32968, 32964])).
% 7.06/5.77 tff(32970,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32971,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32972,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 7.06/5.77 tff(32973,plain,
% 7.06/5.77 (until2p29(s18) | (~xuntil2p30(s17))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32972, 1846, 30083])).
% 7.06/5.77 tff(32974,plain,
% 7.06/5.77 (~xuntil2p30(s17)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32973, 32969])).
% 7.06/5.77 tff(32975,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32976,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32977,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32976, 32975])).
% 7.06/5.77 tff(32978,plain,
% 7.06/5.77 (xuntil2p30(s17) | (~until2p29(s17))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32977, 30068, 25864])).
% 7.06/5.77 tff(32979,plain,
% 7.06/5.77 (~until2p29(s17)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32978, 32974])).
% 7.06/5.77 tff(32980,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32981,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32982,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32981, 32980])).
% 7.06/5.77 tff(32983,plain,
% 7.06/5.77 (until2p29(s17) | (~xuntil2p30(s16))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32982, 1751, 30083])).
% 7.06/5.77 tff(32984,plain,
% 7.06/5.77 (~xuntil2p30(s16)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32983, 32979])).
% 7.06/5.77 tff(32985,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32986,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32987,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 7.06/5.77 tff(32988,plain,
% 7.06/5.77 (xuntil2p30(s16) | (~until2p29(s16))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32987, 30068, 26209])).
% 7.06/5.77 tff(32989,plain,
% 7.06/5.77 (~until2p29(s16)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32988, 32984])).
% 7.06/5.77 tff(32990,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32991,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32992,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 7.06/5.77 tff(32993,plain,
% 7.06/5.77 (until2p29(s16) | (~xuntil2p30(s15))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32992, 1690, 30083])).
% 7.06/5.77 tff(32994,plain,
% 7.06/5.77 (~xuntil2p30(s15)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32993, 32989])).
% 7.06/5.77 tff(32995,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(32996,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(32997,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[32996, 32995])).
% 7.06/5.77 tff(32998,plain,
% 7.06/5.77 (xuntil2p30(s15) | (~until2p29(s15))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32997, 30068, 25880])).
% 7.06/5.77 tff(32999,plain,
% 7.06/5.77 (~until2p29(s15)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[32998, 32994])).
% 7.06/5.77 tff(33000,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33001,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33002,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33001, 33000])).
% 7.06/5.77 tff(33003,plain,
% 7.06/5.77 (until2p29(s15) | (~xuntil2p30(s14))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33002, 1612, 30083])).
% 7.06/5.77 tff(33004,plain,
% 7.06/5.77 (~xuntil2p30(s14)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33003, 32999])).
% 7.06/5.77 tff(33005,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33006,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33007,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33006, 33005])).
% 7.06/5.77 tff(33008,plain,
% 7.06/5.77 (xuntil2p30(s14) | (~until2p29(s14))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33007, 30068, 25889])).
% 7.06/5.77 tff(33009,plain,
% 7.06/5.77 (~until2p29(s14)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33008, 33004])).
% 7.06/5.77 tff(33010,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33011,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33012,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33011, 33010])).
% 7.06/5.77 tff(33013,plain,
% 7.06/5.77 (until2p29(s14) | (~xuntil2p30(s13))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33012, 1513, 30083])).
% 7.06/5.77 tff(33014,plain,
% 7.06/5.77 (~xuntil2p30(s13)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33013, 33009])).
% 7.06/5.77 tff(33015,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33016,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33017,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33016, 33015])).
% 7.06/5.77 tff(33018,plain,
% 7.06/5.77 (xuntil2p30(s13) | (~until2p29(s13))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33017, 30068, 25893])).
% 7.06/5.77 tff(33019,plain,
% 7.06/5.77 (~until2p29(s13)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33018, 33014])).
% 7.06/5.77 tff(33020,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33021,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33022,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 7.06/5.77 tff(33023,plain,
% 7.06/5.77 (until2p29(s13) | (~xuntil2p30(s12))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33022, 1446, 30083])).
% 7.06/5.77 tff(33024,plain,
% 7.06/5.77 (~xuntil2p30(s12)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33023, 33019])).
% 7.06/5.77 tff(33025,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33026,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33027,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 7.06/5.77 tff(33028,plain,
% 7.06/5.77 (xuntil2p30(s12) | (~until2p29(s12))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33027, 30068, 26155])).
% 7.06/5.77 tff(33029,plain,
% 7.06/5.77 (~until2p29(s12)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33028, 33024])).
% 7.06/5.77 tff(33030,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33031,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33032,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33031, 33030])).
% 7.06/5.77 tff(33033,plain,
% 7.06/5.77 (until2p29(s12) | (~xuntil2p30(s11))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33032, 1357, 30083])).
% 7.06/5.77 tff(33034,plain,
% 7.06/5.77 (~xuntil2p30(s11)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33033, 33029])).
% 7.06/5.77 tff(33035,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33036,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33037,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 7.06/5.77 tff(33038,plain,
% 7.06/5.77 (xuntil2p30(s11) | (~until2p29(s11))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33037, 30068, 25909])).
% 7.06/5.77 tff(33039,plain,
% 7.06/5.77 (~until2p29(s11)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33038, 33034])).
% 7.06/5.77 tff(33040,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33041,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33042,plain,
% 7.06/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33041, 33040])).
% 7.06/5.77 tff(33043,plain,
% 7.06/5.77 (until2p29(s11) | (~xuntil2p30(s10))),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33042, 1282, 30083])).
% 7.06/5.77 tff(33044,plain,
% 7.06/5.77 (~xuntil2p30(s10)),
% 7.06/5.77 inference(unit_resolution,[status(thm)],[33043, 33039])).
% 7.06/5.77 tff(33045,plain,
% 7.06/5.77 (((~![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)))),
% 7.06/5.77 inference(rewrite,[status(thm)],[])).
% 7.06/5.77 tff(33046,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 7.06/5.77 inference(quant_inst,[status(thm)],[])).
% 7.06/5.77 tff(33047,plain,
% 7.06/5.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10))),
% 7.06/5.77 inference(modus_ponens,[status(thm)],[33046, 33045])).
% 7.06/5.78 tff(33048,plain,
% 7.06/5.78 (xuntil2p30(s10) | (~until2p29(s10))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33047, 30068, 25918])).
% 7.06/5.78 tff(33049,plain,
% 7.06/5.78 (~until2p29(s10)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33048, 33044])).
% 7.06/5.78 tff(33050,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33051,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33052,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33051, 33050])).
% 7.06/5.78 tff(33053,plain,
% 7.06/5.78 (until2p29(s10) | (~xuntil2p30(s9))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33052, 1218, 30083])).
% 7.06/5.78 tff(33054,plain,
% 7.06/5.78 (~xuntil2p30(s9)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33053, 33049])).
% 7.06/5.78 tff(33055,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33056,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33057,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33056, 33055])).
% 7.06/5.78 tff(33058,plain,
% 7.06/5.78 (xuntil2p30(s9) | (~until2p29(s9))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33057, 30068, 25922])).
% 7.06/5.78 tff(33059,plain,
% 7.06/5.78 (~until2p29(s9)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33058, 33054])).
% 7.06/5.78 tff(33060,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33061,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33062,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33061, 33060])).
% 7.06/5.78 tff(33063,plain,
% 7.06/5.78 (until2p29(s9) | (~xuntil2p30(s8))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33062, 1123, 30083])).
% 7.06/5.78 tff(33064,plain,
% 7.06/5.78 (~xuntil2p30(s8)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33063, 33059])).
% 7.06/5.78 tff(33065,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33066,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33067,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33066, 33065])).
% 7.06/5.78 tff(33068,plain,
% 7.06/5.78 (xuntil2p30(s8) | (~until2p29(s8))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33067, 30068, 26101])).
% 7.06/5.78 tff(33069,plain,
% 7.06/5.78 (~until2p29(s8)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33068, 33064])).
% 7.06/5.78 tff(33070,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33071,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33072,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 7.06/5.78 tff(33073,plain,
% 7.06/5.78 (until2p29(s8) | (~xuntil2p30(s7))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33072, 1062, 30083])).
% 7.06/5.78 tff(33074,plain,
% 7.06/5.78 (~xuntil2p30(s7)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33073, 33069])).
% 7.06/5.78 tff(33075,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33076,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33077,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 7.06/5.78 tff(33078,plain,
% 7.06/5.78 (xuntil2p30(s7) | (~until2p29(s7))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33077, 30068, 25938])).
% 7.06/5.78 tff(33079,plain,
% 7.06/5.78 (~until2p29(s7)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33078, 33074])).
% 7.06/5.78 tff(33080,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33081,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33082,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33081, 33080])).
% 7.06/5.78 tff(33083,plain,
% 7.06/5.78 (until2p29(s7) | (~xuntil2p30(s6))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33082, 984, 30083])).
% 7.06/5.78 tff(33084,plain,
% 7.06/5.78 (~xuntil2p30(s6)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33083, 33079])).
% 7.06/5.78 tff(33085,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33086,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33087,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33086, 33085])).
% 7.06/5.78 tff(33088,plain,
% 7.06/5.78 (xuntil2p30(s6) | (~until2p29(s6))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33087, 30068, 25947])).
% 7.06/5.78 tff(33089,plain,
% 7.06/5.78 (~until2p29(s6)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33088, 33084])).
% 7.06/5.78 tff(33090,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33091,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33092,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 7.06/5.78 tff(33093,plain,
% 7.06/5.78 (until2p29(s6) | (~xuntil2p30(s5))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33092, 845, 30083])).
% 7.06/5.78 tff(33094,plain,
% 7.06/5.78 (~xuntil2p30(s5)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33093, 33089])).
% 7.06/5.78 tff(33095,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33096,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33097,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 7.06/5.78 tff(33098,plain,
% 7.06/5.78 (xuntil2p30(s5) | (~until2p29(s5))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33097, 30068, 25951])).
% 7.06/5.78 tff(33099,plain,
% 7.06/5.78 (~until2p29(s5)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33098, 33094])).
% 7.06/5.78 tff(33100,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33101,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33102,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 7.06/5.78 tff(33103,plain,
% 7.06/5.78 (until2p29(s5) | (~xuntil2p30(s4))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33102, 727, 30083])).
% 7.06/5.78 tff(33104,plain,
% 7.06/5.78 (~xuntil2p30(s4)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33103, 33099])).
% 7.06/5.78 tff(33105,plain,
% 7.06/5.78 (((~![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)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33106,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33107,plain,
% 7.06/5.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 7.06/5.78 tff(33108,plain,
% 7.06/5.78 (xuntil2p30(s4) | (~until2p29(s4))),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33107, 30068, 26047])).
% 7.06/5.78 tff(33109,plain,
% 7.06/5.78 (~until2p29(s4)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33108, 33104])).
% 7.06/5.78 tff(33110,assumption,(~until2p29(s4)), introduced(assumption)).
% 7.06/5.78 tff(33111,assumption,(trans(s299, s4)), introduced(assumption)).
% 7.06/5.78 tff(33112,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33113,plain,
% 7.06/5.78 (((~trans(s299, s4)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s4)) <=> (until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33114,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4))))),
% 7.06/5.78 inference(monotonicity,[status(thm)],[33113])).
% 7.06/5.78 tff(33115,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4)))),
% 7.06/5.78 inference(transitivity,[status(thm)],[33114, 33112])).
% 7.06/5.78 tff(33116,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s4))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33117,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s4))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33116, 33115])).
% 7.06/5.78 tff(33118,plain,
% 7.06/5.78 ($false),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33117, 30054, 33111, 30252, 33110, 30703])).
% 7.06/5.78 tff(33119,plain,((~trans(s299, s4)) | until2p29(s4) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.78 tff(33120,plain,
% 7.06/5.78 (~trans(s299, s4)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33119, 33109, 30043])).
% 7.06/5.78 tff(33121,assumption,(~until2p29(s44)), introduced(assumption)).
% 7.06/5.78 tff(33122,assumption,(trans(s299, s44)), introduced(assumption)).
% 7.06/5.78 tff(33123,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33124,plain,
% 7.06/5.78 (((~trans(s299, s44)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s44)) <=> (until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33125,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44))))),
% 7.06/5.78 inference(monotonicity,[status(thm)],[33124])).
% 7.06/5.78 tff(33126,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44)))),
% 7.06/5.78 inference(transitivity,[status(thm)],[33125, 33123])).
% 7.06/5.78 tff(33127,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s44))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33128,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s44))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33127, 33126])).
% 7.06/5.78 tff(33129,plain,
% 7.06/5.78 ($false),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33128, 30054, 33122, 30252, 33121, 30703])).
% 7.06/5.78 tff(33130,plain,((~trans(s299, s44)) | until2p29(s44) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.78 tff(33131,plain,
% 7.06/5.78 (~trans(s299, s44)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33130, 32698, 30043])).
% 7.06/5.78 tff(33132,assumption,(~until2p29(s179)), introduced(assumption)).
% 7.06/5.78 tff(33133,assumption,(trans(s299, s179)), introduced(assumption)).
% 7.06/5.78 tff(33134,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33135,plain,
% 7.06/5.78 (((~trans(s299, s179)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s179)) <=> (until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33136,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179))))),
% 7.06/5.78 inference(monotonicity,[status(thm)],[33135])).
% 7.06/5.78 tff(33137,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179)))),
% 7.06/5.78 inference(transitivity,[status(thm)],[33136, 33134])).
% 7.06/5.78 tff(33138,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s179))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33139,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s179))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33138, 33137])).
% 7.06/5.78 tff(33140,plain,
% 7.06/5.78 ($false),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33139, 30054, 33133, 30252, 33132, 30703])).
% 7.06/5.78 tff(33141,plain,((~trans(s299, s179)) | until2p29(s179) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.06/5.78 tff(33142,plain,
% 7.06/5.78 (~trans(s299, s179)),
% 7.06/5.78 inference(unit_resolution,[status(thm)],[33141, 31315, 30043])).
% 7.06/5.78 tff(33143,assumption,(~until2p29(s99)), introduced(assumption)).
% 7.06/5.78 tff(33144,assumption,(trans(s299, s99)), introduced(assumption)).
% 7.06/5.78 tff(33145,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33146,plain,
% 7.06/5.78 (((~trans(s299, s99)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s99)) <=> (until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99)))),
% 7.06/5.78 inference(rewrite,[status(thm)],[])).
% 7.06/5.78 tff(33147,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99))))),
% 7.06/5.78 inference(monotonicity,[status(thm)],[33146])).
% 7.06/5.78 tff(33148,plain,
% 7.06/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99)))),
% 7.06/5.78 inference(transitivity,[status(thm)],[33147, 33145])).
% 7.06/5.78 tff(33149,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s99))),
% 7.06/5.78 inference(quant_inst,[status(thm)],[])).
% 7.06/5.78 tff(33150,plain,
% 7.06/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s99))),
% 7.06/5.78 inference(modus_ponens,[status(thm)],[33149, 33148])).
% 7.15/5.78 tff(33151,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33150, 30054, 33144, 30252, 33143, 30703])).
% 7.15/5.78 tff(33152,plain,((~trans(s299, s99)) | until2p29(s99) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33153,plain,
% 7.15/5.78 (~trans(s299, s99)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33152, 32126, 30043])).
% 7.15/5.78 tff(33154,assumption,(~until2p29(s207)), introduced(assumption)).
% 7.15/5.78 tff(33155,assumption,(trans(s299, s207)), introduced(assumption)).
% 7.15/5.78 tff(33156,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33157,plain,
% 7.15/5.78 (((~trans(s299, s207)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s207)) <=> (until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33158,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207))))),
% 7.15/5.78 inference(monotonicity,[status(thm)],[33157])).
% 7.15/5.78 tff(33159,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207)))),
% 7.15/5.78 inference(transitivity,[status(thm)],[33158, 33156])).
% 7.15/5.78 tff(33160,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s207))),
% 7.15/5.78 inference(quant_inst,[status(thm)],[])).
% 7.15/5.78 tff(33161,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s207) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s207))),
% 7.15/5.78 inference(modus_ponens,[status(thm)],[33160, 33159])).
% 7.15/5.78 tff(33162,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33161, 30054, 33155, 30252, 33154, 30703])).
% 7.15/5.78 tff(33163,plain,((~trans(s299, s207)) | until2p29(s207) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33164,plain,
% 7.15/5.78 (~trans(s299, s207)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33163, 31024, 30043])).
% 7.15/5.78 tff(33165,assumption,(~until2p29(s5)), introduced(assumption)).
% 7.15/5.78 tff(33166,assumption,(trans(s299, s5)), introduced(assumption)).
% 7.15/5.78 tff(33167,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33168,plain,
% 7.15/5.78 (((~trans(s299, s5)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s5)) <=> (until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33169,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5))))),
% 7.15/5.78 inference(monotonicity,[status(thm)],[33168])).
% 7.15/5.78 tff(33170,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5)))),
% 7.15/5.78 inference(transitivity,[status(thm)],[33169, 33167])).
% 7.15/5.78 tff(33171,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s5))),
% 7.15/5.78 inference(quant_inst,[status(thm)],[])).
% 7.15/5.78 tff(33172,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s5))),
% 7.15/5.78 inference(modus_ponens,[status(thm)],[33171, 33170])).
% 7.15/5.78 tff(33173,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33172, 30054, 33166, 30252, 33165, 30703])).
% 7.15/5.78 tff(33174,plain,((~trans(s299, s5)) | until2p29(s5) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33175,plain,
% 7.15/5.78 (~trans(s299, s5)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33174, 33099, 30043])).
% 7.15/5.78 tff(33176,assumption,(~until2p29(s26)), introduced(assumption)).
% 7.15/5.78 tff(33177,assumption,(trans(s299, s26)), introduced(assumption)).
% 7.15/5.78 tff(33178,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33179,plain,
% 7.15/5.78 (((~trans(s299, s26)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s26)) <=> (until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33180,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26))))),
% 7.15/5.78 inference(monotonicity,[status(thm)],[33179])).
% 7.15/5.78 tff(33181,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26)))),
% 7.15/5.78 inference(transitivity,[status(thm)],[33180, 33178])).
% 7.15/5.78 tff(33182,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s26))),
% 7.15/5.78 inference(quant_inst,[status(thm)],[])).
% 7.15/5.78 tff(33183,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s26))),
% 7.15/5.78 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 7.15/5.78 tff(33184,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33183, 30054, 33177, 30252, 33176, 30703])).
% 7.15/5.78 tff(33185,plain,((~trans(s299, s26)) | until2p29(s26) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33186,plain,
% 7.15/5.78 (~trans(s299, s26)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33185, 32889, 30043])).
% 7.15/5.78 tff(33187,assumption,(~until2p29(s95)), introduced(assumption)).
% 7.15/5.78 tff(33188,assumption,(trans(s299, s95)), introduced(assumption)).
% 7.15/5.78 tff(33189,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33190,plain,
% 7.15/5.78 (((~trans(s299, s95)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s95)) <=> (until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33191,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95))))),
% 7.15/5.78 inference(monotonicity,[status(thm)],[33190])).
% 7.15/5.78 tff(33192,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95)))),
% 7.15/5.78 inference(transitivity,[status(thm)],[33191, 33189])).
% 7.15/5.78 tff(33193,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s95))),
% 7.15/5.78 inference(quant_inst,[status(thm)],[])).
% 7.15/5.78 tff(33194,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s95))),
% 7.15/5.78 inference(modus_ponens,[status(thm)],[33193, 33192])).
% 7.15/5.78 tff(33195,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33194, 30054, 33188, 30252, 33187, 30703])).
% 7.15/5.78 tff(33196,plain,((~trans(s299, s95)) | until2p29(s95) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33197,plain,
% 7.15/5.78 (~trans(s299, s95)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33196, 32166, 30043])).
% 7.15/5.78 tff(33198,assumption,(~until2p29(s121)), introduced(assumption)).
% 7.15/5.78 tff(33199,assumption,(trans(s299, s121)), introduced(assumption)).
% 7.15/5.78 tff(33200,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33201,plain,
% 7.15/5.78 (((~trans(s299, s121)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s121)) <=> (until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121)))),
% 7.15/5.78 inference(rewrite,[status(thm)],[])).
% 7.15/5.78 tff(33202,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121))))),
% 7.15/5.78 inference(monotonicity,[status(thm)],[33201])).
% 7.15/5.78 tff(33203,plain,
% 7.15/5.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121)))),
% 7.15/5.78 inference(transitivity,[status(thm)],[33202, 33200])).
% 7.15/5.78 tff(33204,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s121))),
% 7.15/5.78 inference(quant_inst,[status(thm)],[])).
% 7.15/5.78 tff(33205,plain,
% 7.15/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s121))),
% 7.15/5.78 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 7.15/5.78 tff(33206,plain,
% 7.15/5.78 ($false),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33205, 30054, 33199, 30252, 33198, 30703])).
% 7.15/5.78 tff(33207,plain,((~trans(s299, s121)) | until2p29(s121) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.78 tff(33208,plain,
% 7.15/5.78 (~trans(s299, s121)),
% 7.15/5.78 inference(unit_resolution,[status(thm)],[33207, 31906, 30043])).
% 7.15/5.78 tff(33209,assumption,(~until2p29(s31)), introduced(assumption)).
% 7.15/5.79 tff(33210,assumption,(trans(s299, s31)), introduced(assumption)).
% 7.15/5.79 tff(33211,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33212,plain,
% 7.15/5.79 (((~trans(s299, s31)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s31)) <=> (until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33213,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33212])).
% 7.15/5.79 tff(33214,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33213, 33211])).
% 7.15/5.79 tff(33215,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s31))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33216,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s31))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33215, 33214])).
% 7.15/5.79 tff(33217,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33216, 30054, 33210, 30252, 33209, 30703])).
% 7.15/5.79 tff(33218,plain,((~trans(s299, s31)) | until2p29(s31) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33219,plain,
% 7.15/5.79 (~trans(s299, s31)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33218, 32828, 30043])).
% 7.15/5.79 tff(33220,assumption,(~until2p29(s83)), introduced(assumption)).
% 7.15/5.79 tff(33221,assumption,(trans(s299, s83)), introduced(assumption)).
% 7.15/5.79 tff(33222,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33223,plain,
% 7.15/5.79 (((~trans(s299, s83)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s83)) <=> (until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33224,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33223])).
% 7.15/5.79 tff(33225,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33224, 33222])).
% 7.15/5.79 tff(33226,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s83))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33227,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s83))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 7.15/5.79 tff(33228,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33227, 30054, 33221, 30252, 33220, 30703])).
% 7.15/5.79 tff(33229,plain,((~trans(s299, s83)) | until2p29(s83) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33230,plain,
% 7.15/5.79 (~trans(s299, s83)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33229, 32308, 30043])).
% 7.15/5.79 tff(33231,assumption,(~until2p29(s149)), introduced(assumption)).
% 7.15/5.79 tff(33232,assumption,(trans(s299, s149)), introduced(assumption)).
% 7.15/5.79 tff(33233,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33234,plain,
% 7.15/5.79 (((~trans(s299, s149)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s149)) <=> (until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33235,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33234])).
% 7.15/5.79 tff(33236,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33235, 33233])).
% 7.15/5.79 tff(33237,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s149))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33238,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s149))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 7.15/5.79 tff(33239,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33238, 30054, 33232, 30252, 33231, 30703])).
% 7.15/5.79 tff(33240,plain,((~trans(s299, s149)) | until2p29(s149) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33241,plain,
% 7.15/5.79 (~trans(s299, s149)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33240, 31626, 30043])).
% 7.15/5.79 tff(33242,assumption,(~until2p29(s109)), introduced(assumption)).
% 7.15/5.79 tff(33243,assumption,(trans(s299, s109)), introduced(assumption)).
% 7.15/5.79 tff(33244,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33245,plain,
% 7.15/5.79 (((~trans(s299, s109)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s109)) <=> (until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33246,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33245])).
% 7.15/5.79 tff(33247,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33246, 33244])).
% 7.15/5.79 tff(33248,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s109))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33249,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s109))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 7.15/5.79 tff(33250,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33249, 30054, 33243, 30252, 33242, 30703])).
% 7.15/5.79 tff(33251,plain,((~trans(s299, s109)) | until2p29(s109) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33252,plain,
% 7.15/5.79 (~trans(s299, s109)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33251, 32026, 30043])).
% 7.15/5.79 tff(33253,assumption,(~until2p29(s152)), introduced(assumption)).
% 7.15/5.79 tff(33254,assumption,(trans(s299, s152)), introduced(assumption)).
% 7.15/5.79 tff(33255,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33256,plain,
% 7.15/5.79 (((~trans(s299, s152)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s152)) <=> (until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33257,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33256])).
% 7.15/5.79 tff(33258,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33257, 33255])).
% 7.15/5.79 tff(33259,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s152))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33260,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s152))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 7.15/5.79 tff(33261,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33260, 30054, 33254, 30252, 33253, 30703])).
% 7.15/5.79 tff(33262,plain,((~trans(s299, s152)) | until2p29(s152) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33263,plain,
% 7.15/5.79 (~trans(s299, s152)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33262, 31585, 30043])).
% 7.15/5.79 tff(33264,assumption,(~until2p29(s292)), introduced(assumption)).
% 7.15/5.79 tff(33265,assumption,(trans(s299, s292)), introduced(assumption)).
% 7.15/5.79 tff(33266,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33267,plain,
% 7.15/5.79 (((~trans(s299, s292)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s292)) <=> (until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33268,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33267])).
% 7.15/5.79 tff(33269,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33268, 33266])).
% 7.15/5.79 tff(33270,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s292))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33271,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s292) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s292))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33270, 33269])).
% 7.15/5.79 tff(33272,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33271, 30054, 33265, 30252, 33264, 30703])).
% 7.15/5.79 tff(33273,plain,((~trans(s299, s292)) | until2p29(s292) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33274,plain,
% 7.15/5.79 (~trans(s299, s292)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33273, 30152, 30043])).
% 7.15/5.79 tff(33275,assumption,(~until2p29(s93)), introduced(assumption)).
% 7.15/5.79 tff(33276,assumption,(trans(s299, s93)), introduced(assumption)).
% 7.15/5.79 tff(33277,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33278,plain,
% 7.15/5.79 (((~trans(s299, s93)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s93)) <=> (until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33279,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33278])).
% 7.15/5.79 tff(33280,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33279, 33277])).
% 7.15/5.79 tff(33281,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s93))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33282,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s93))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33281, 33280])).
% 7.15/5.79 tff(33283,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33282, 30054, 33276, 30252, 33275, 30703])).
% 7.15/5.79 tff(33284,plain,((~trans(s299, s93)) | until2p29(s93) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33285,plain,
% 7.15/5.79 (~trans(s299, s93)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33284, 32186, 30043])).
% 7.15/5.79 tff(33286,assumption,(~until2p29(s227)), introduced(assumption)).
% 7.15/5.79 tff(33287,assumption,(trans(s299, s227)), introduced(assumption)).
% 7.15/5.79 tff(33288,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33289,plain,
% 7.15/5.79 (((~trans(s299, s227)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s227)) <=> (until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33290,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33289])).
% 7.15/5.79 tff(33291,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33290, 33288])).
% 7.15/5.79 tff(33292,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s227))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33293,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s227) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s227))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33292, 33291])).
% 7.15/5.79 tff(33294,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33293, 30054, 33287, 30252, 33286, 30703])).
% 7.15/5.79 tff(33295,plain,((~trans(s299, s227)) | until2p29(s227) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33296,plain,
% 7.15/5.79 (~trans(s299, s227)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33295, 30824, 30043])).
% 7.15/5.79 tff(33297,assumption,(~until2p29(s57)), introduced(assumption)).
% 7.15/5.79 tff(33298,assumption,(trans(s299, s57)), introduced(assumption)).
% 7.15/5.79 tff(33299,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33300,plain,
% 7.15/5.79 (((~trans(s299, s57)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s57)) <=> (until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33301,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33300])).
% 7.15/5.79 tff(33302,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33301, 33299])).
% 7.15/5.79 tff(33303,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s57))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33304,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s57))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33303, 33302])).
% 7.15/5.79 tff(33305,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33304, 30054, 33298, 30252, 33297, 30703])).
% 7.15/5.79 tff(33306,plain,((~trans(s299, s57)) | until2p29(s57) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33307,plain,
% 7.15/5.79 (~trans(s299, s57)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33306, 32568, 30043])).
% 7.15/5.79 tff(33308,assumption,(~until2p29(s12)), introduced(assumption)).
% 7.15/5.79 tff(33309,assumption,(trans(s299, s12)), introduced(assumption)).
% 7.15/5.79 tff(33310,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33311,plain,
% 7.15/5.79 (((~trans(s299, s12)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s12)) <=> (until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33312,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33311])).
% 7.15/5.79 tff(33313,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33312, 33310])).
% 7.15/5.79 tff(33314,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s12))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33315,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s12))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33314, 33313])).
% 7.15/5.79 tff(33316,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33315, 30054, 33309, 30252, 33308, 30703])).
% 7.15/5.79 tff(33317,plain,((~trans(s299, s12)) | until2p29(s12) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33318,plain,
% 7.15/5.79 (~trans(s299, s12)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33317, 33029, 30043])).
% 7.15/5.79 tff(33319,assumption,(~until2p29(s223)), introduced(assumption)).
% 7.15/5.79 tff(33320,assumption,(trans(s299, s223)), introduced(assumption)).
% 7.15/5.79 tff(33321,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33322,plain,
% 7.15/5.79 (((~trans(s299, s223)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s223)) <=> (until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33323,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33322])).
% 7.15/5.79 tff(33324,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33323, 33321])).
% 7.15/5.79 tff(33325,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s223))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33326,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s223) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s223))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 7.15/5.79 tff(33327,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33326, 30054, 33320, 30252, 33319, 30703])).
% 7.15/5.79 tff(33328,plain,((~trans(s299, s223)) | until2p29(s223) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33329,plain,
% 7.15/5.79 (~trans(s299, s223)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33328, 30864, 30043])).
% 7.15/5.79 tff(33330,assumption,(~until2p29(s27)), introduced(assumption)).
% 7.15/5.79 tff(33331,assumption,(trans(s299, s27)), introduced(assumption)).
% 7.15/5.79 tff(33332,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33333,plain,
% 7.15/5.79 (((~trans(s299, s27)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s27)) <=> (until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27)))),
% 7.15/5.79 inference(rewrite,[status(thm)],[])).
% 7.15/5.79 tff(33334,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27))))),
% 7.15/5.79 inference(monotonicity,[status(thm)],[33333])).
% 7.15/5.79 tff(33335,plain,
% 7.15/5.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27)))),
% 7.15/5.79 inference(transitivity,[status(thm)],[33334, 33332])).
% 7.15/5.79 tff(33336,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s27))),
% 7.15/5.79 inference(quant_inst,[status(thm)],[])).
% 7.15/5.79 tff(33337,plain,
% 7.15/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s27))),
% 7.15/5.79 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 7.15/5.79 tff(33338,plain,
% 7.15/5.79 ($false),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33337, 30054, 33331, 30252, 33330, 30703])).
% 7.15/5.79 tff(33339,plain,((~trans(s299, s27)) | until2p29(s27) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.79 tff(33340,plain,
% 7.15/5.79 (~trans(s299, s27)),
% 7.15/5.79 inference(unit_resolution,[status(thm)],[33339, 32879, 30043])).
% 7.15/5.79 tff(33341,assumption,(~until2p29(s97)), introduced(assumption)).
% 7.15/5.80 tff(33342,assumption,(trans(s299, s97)), introduced(assumption)).
% 7.15/5.80 tff(33343,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33344,plain,
% 7.15/5.80 (((~trans(s299, s97)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s97)) <=> (until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33345,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33344])).
% 7.15/5.80 tff(33346,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33345, 33343])).
% 7.15/5.80 tff(33347,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s97))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33348,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s97))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33347, 33346])).
% 7.15/5.80 tff(33349,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33348, 30054, 33342, 30252, 33341, 30703])).
% 7.15/5.80 tff(33350,plain,((~trans(s299, s97)) | until2p29(s97) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33351,plain,
% 7.15/5.80 (~trans(s299, s97)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33350, 32146, 30043])).
% 7.15/5.80 tff(33352,assumption,(~until2p29(s130)), introduced(assumption)).
% 7.15/5.80 tff(33353,assumption,(trans(s299, s130)), introduced(assumption)).
% 7.15/5.80 tff(33354,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33355,plain,
% 7.15/5.80 (((~trans(s299, s130)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s130)) <=> (until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33356,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33355])).
% 7.15/5.80 tff(33357,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33356, 33354])).
% 7.15/5.80 tff(33358,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s130))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33359,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s130))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 7.15/5.80 tff(33360,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33359, 30054, 33353, 30252, 33352, 30703])).
% 7.15/5.80 tff(33361,plain,((~trans(s299, s130)) | until2p29(s130) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33362,plain,
% 7.15/5.80 (~trans(s299, s130)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33361, 31816, 30043])).
% 7.15/5.80 tff(33363,assumption,(~until2p29(s222)), introduced(assumption)).
% 7.15/5.80 tff(33364,assumption,(trans(s299, s222)), introduced(assumption)).
% 7.15/5.80 tff(33365,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33366,plain,
% 7.15/5.80 (((~trans(s299, s222)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s222)) <=> (until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33367,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33366])).
% 7.15/5.80 tff(33368,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33367, 33365])).
% 7.15/5.80 tff(33369,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s222))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33370,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s222) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s222))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 7.15/5.80 tff(33371,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33370, 30054, 33364, 30252, 33363, 30703])).
% 7.15/5.80 tff(33372,plain,((~trans(s299, s222)) | until2p29(s222) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33373,plain,
% 7.15/5.80 (~trans(s299, s222)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33372, 30874, 30043])).
% 7.15/5.80 tff(33374,assumption,(~until2p29(s236)), introduced(assumption)).
% 7.15/5.80 tff(33375,assumption,(trans(s299, s236)), introduced(assumption)).
% 7.15/5.80 tff(33376,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33377,plain,
% 7.15/5.80 (((~trans(s299, s236)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s236)) <=> (until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33378,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33377])).
% 7.15/5.80 tff(33379,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33378, 33376])).
% 7.15/5.80 tff(33380,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s236))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33381,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s236) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s236))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 7.15/5.80 tff(33382,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33381, 30054, 33375, 30252, 33374, 30703])).
% 7.15/5.80 tff(33383,plain,((~trans(s299, s236)) | until2p29(s236) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33384,plain,
% 7.15/5.80 (~trans(s299, s236)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33383, 30734, 30043])).
% 7.15/5.80 tff(33385,assumption,(~until2p29(s176)), introduced(assumption)).
% 7.15/5.80 tff(33386,assumption,(trans(s299, s176)), introduced(assumption)).
% 7.15/5.80 tff(33387,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33388,plain,
% 7.15/5.80 (((~trans(s299, s176)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s176)) <=> (until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33389,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33388])).
% 7.15/5.80 tff(33390,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33389, 33387])).
% 7.15/5.80 tff(33391,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s176))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33392,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s176))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 7.15/5.80 tff(33393,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33392, 30054, 33386, 30252, 33385, 30703])).
% 7.15/5.80 tff(33394,plain,((~trans(s299, s176)) | until2p29(s176) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33395,plain,
% 7.15/5.80 (~trans(s299, s176)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33394, 31345, 30043])).
% 7.15/5.80 tff(33396,assumption,(~until2p29(s40)), introduced(assumption)).
% 7.15/5.80 tff(33397,assumption,(trans(s299, s40)), introduced(assumption)).
% 7.15/5.80 tff(33398,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33399,plain,
% 7.15/5.80 (((~trans(s299, s40)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s40)) <=> (until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33400,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33399])).
% 7.15/5.80 tff(33401,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33400, 33398])).
% 7.15/5.80 tff(33402,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s40))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33403,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s40))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33402, 33401])).
% 7.15/5.80 tff(33404,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33403, 30054, 33397, 30252, 33396, 30703])).
% 7.15/5.80 tff(33405,plain,((~trans(s299, s40)) | until2p29(s40) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33406,plain,
% 7.15/5.80 (~trans(s299, s40)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33405, 32738, 30043])).
% 7.15/5.80 tff(33407,assumption,(~until2p29(s172)), introduced(assumption)).
% 7.15/5.80 tff(33408,assumption,(trans(s299, s172)), introduced(assumption)).
% 7.15/5.80 tff(33409,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33410,plain,
% 7.15/5.80 (((~trans(s299, s172)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s172)) <=> (until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33411,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33410])).
% 7.15/5.80 tff(33412,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33411, 33409])).
% 7.15/5.80 tff(33413,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s172))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33414,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s172))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33413, 33412])).
% 7.15/5.80 tff(33415,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33414, 30054, 33408, 30252, 33407, 30703])).
% 7.15/5.80 tff(33416,plain,((~trans(s299, s172)) | until2p29(s172) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33417,plain,
% 7.15/5.80 (~trans(s299, s172)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33416, 31385, 30043])).
% 7.15/5.80 tff(33418,assumption,(~until2p29(s239)), introduced(assumption)).
% 7.15/5.80 tff(33419,assumption,(trans(s299, s239)), introduced(assumption)).
% 7.15/5.80 tff(33420,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33421,plain,
% 7.15/5.80 (((~trans(s299, s239)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s239)) <=> (until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33422,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33421])).
% 7.15/5.80 tff(33423,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33422, 33420])).
% 7.15/5.80 tff(33424,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s239))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33425,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s239) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s239))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 7.15/5.80 tff(33426,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33425, 30054, 33419, 30252, 33418, 30703])).
% 7.15/5.80 tff(33427,plain,((~trans(s299, s239)) | until2p29(s239) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33428,plain,
% 7.15/5.80 (~trans(s299, s239)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33427, 30692, 30043])).
% 7.15/5.80 tff(33429,assumption,(~until2p29(s182)), introduced(assumption)).
% 7.15/5.80 tff(33430,assumption,(trans(s299, s182)), introduced(assumption)).
% 7.15/5.80 tff(33431,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33432,plain,
% 7.15/5.80 (((~trans(s299, s182)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s182)) <=> (until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33433,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33432])).
% 7.15/5.80 tff(33434,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33433, 33431])).
% 7.15/5.80 tff(33435,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s182))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33436,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s182))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33435, 33434])).
% 7.15/5.80 tff(33437,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33436, 30054, 33430, 30252, 33429, 30703])).
% 7.15/5.80 tff(33438,plain,((~trans(s299, s182)) | until2p29(s182) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33439,plain,
% 7.15/5.80 (~trans(s299, s182)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33438, 31274, 30043])).
% 7.15/5.80 tff(33440,assumption,(~until2p29(s7)), introduced(assumption)).
% 7.15/5.80 tff(33441,assumption,(trans(s299, s7)), introduced(assumption)).
% 7.15/5.80 tff(33442,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33443,plain,
% 7.15/5.80 (((~trans(s299, s7)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s7)) <=> (until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33444,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33443])).
% 7.15/5.80 tff(33445,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33444, 33442])).
% 7.15/5.80 tff(33446,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s7))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33447,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s7))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33446, 33445])).
% 7.15/5.80 tff(33448,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33447, 30054, 33441, 30252, 33440, 30703])).
% 7.15/5.80 tff(33449,plain,((~trans(s299, s7)) | until2p29(s7) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33450,plain,
% 7.15/5.80 (~trans(s299, s7)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33449, 33079, 30043])).
% 7.15/5.80 tff(33451,assumption,(~until2p29(s244)), introduced(assumption)).
% 7.15/5.80 tff(33452,assumption,(trans(s299, s244)), introduced(assumption)).
% 7.15/5.80 tff(33453,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33454,plain,
% 7.15/5.80 (((~trans(s299, s244)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s244)) <=> (until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33455,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33454])).
% 7.15/5.80 tff(33456,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33455, 33453])).
% 7.15/5.80 tff(33457,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s244))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33458,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s244) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s244))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 7.15/5.80 tff(33459,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33458, 30054, 33452, 30252, 33451, 30703])).
% 7.15/5.80 tff(33460,plain,((~trans(s299, s244)) | until2p29(s244) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33461,plain,
% 7.15/5.80 (~trans(s299, s244)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33460, 30642, 30043])).
% 7.15/5.80 tff(33462,assumption,(~until2p29(s186)), introduced(assumption)).
% 7.15/5.80 tff(33463,assumption,(trans(s299, s186)), introduced(assumption)).
% 7.15/5.80 tff(33464,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33465,plain,
% 7.15/5.80 (((~trans(s299, s186)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s186)) <=> (until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186)))),
% 7.15/5.80 inference(rewrite,[status(thm)],[])).
% 7.15/5.80 tff(33466,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186))))),
% 7.15/5.80 inference(monotonicity,[status(thm)],[33465])).
% 7.15/5.80 tff(33467,plain,
% 7.15/5.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186)))),
% 7.15/5.80 inference(transitivity,[status(thm)],[33466, 33464])).
% 7.15/5.80 tff(33468,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s186))),
% 7.15/5.80 inference(quant_inst,[status(thm)],[])).
% 7.15/5.80 tff(33469,plain,
% 7.15/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s186))),
% 7.15/5.80 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 7.15/5.80 tff(33470,plain,
% 7.15/5.80 ($false),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33469, 30054, 33463, 30252, 33462, 30703])).
% 7.15/5.80 tff(33471,plain,((~trans(s299, s186)) | until2p29(s186) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.80 tff(33472,plain,
% 7.15/5.80 (~trans(s299, s186)),
% 7.15/5.80 inference(unit_resolution,[status(thm)],[33471, 31234, 30043])).
% 7.15/5.80 tff(33473,assumption,(~until2p29(s108)), introduced(assumption)).
% 7.15/5.81 tff(33474,assumption,(trans(s299, s108)), introduced(assumption)).
% 7.15/5.81 tff(33475,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33476,plain,
% 7.15/5.81 (((~trans(s299, s108)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s108)) <=> (until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33477,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33476])).
% 7.15/5.81 tff(33478,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33477, 33475])).
% 7.15/5.81 tff(33479,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s108))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33480,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s108))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33479, 33478])).
% 7.15/5.81 tff(33481,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33480, 30054, 33474, 30252, 33473, 30703])).
% 7.15/5.81 tff(33482,plain,((~trans(s299, s108)) | until2p29(s108) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33483,plain,
% 7.15/5.81 (~trans(s299, s108)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33482, 32036, 30043])).
% 7.15/5.81 tff(33484,assumption,(~until2p29(s288)), introduced(assumption)).
% 7.15/5.81 tff(33485,assumption,(trans(s299, s288)), introduced(assumption)).
% 7.15/5.81 tff(33486,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33487,plain,
% 7.15/5.81 (((~trans(s299, s288)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s288)) <=> (until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33488,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33487])).
% 7.15/5.81 tff(33489,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33488, 33486])).
% 7.15/5.81 tff(33490,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s288))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33491,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s288) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s288))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33490, 33489])).
% 7.15/5.81 tff(33492,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33491, 30054, 33485, 30252, 33484, 30703])).
% 7.15/5.81 tff(33493,plain,((~trans(s299, s288)) | until2p29(s288) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33494,plain,
% 7.15/5.81 (~trans(s299, s288)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33493, 30192, 30043])).
% 7.15/5.81 tff(33495,assumption,(~until2p29(s214)), introduced(assumption)).
% 7.15/5.81 tff(33496,assumption,(trans(s299, s214)), introduced(assumption)).
% 7.15/5.81 tff(33497,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33498,plain,
% 7.15/5.81 (((~trans(s299, s214)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s214)) <=> (until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33499,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33498])).
% 7.15/5.81 tff(33500,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33499, 33497])).
% 7.15/5.81 tff(33501,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s214))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33502,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s214) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s214))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 7.15/5.81 tff(33503,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33502, 30054, 33496, 30252, 33495, 30703])).
% 7.15/5.81 tff(33504,plain,((~trans(s299, s214)) | until2p29(s214) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33505,plain,
% 7.15/5.81 (~trans(s299, s214)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33504, 30954, 30043])).
% 7.15/5.81 tff(33506,assumption,(~until2p29(s170)), introduced(assumption)).
% 7.15/5.81 tff(33507,assumption,(trans(s299, s170)), introduced(assumption)).
% 7.15/5.81 tff(33508,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33509,plain,
% 7.15/5.81 (((~trans(s299, s170)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s170)) <=> (until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33510,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33509])).
% 7.15/5.81 tff(33511,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33510, 33508])).
% 7.15/5.81 tff(33512,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s170))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33513,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s170))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33512, 33511])).
% 7.15/5.81 tff(33514,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33513, 30054, 33507, 30252, 33506, 30703])).
% 7.15/5.81 tff(33515,plain,((~trans(s299, s170)) | until2p29(s170) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33516,plain,
% 7.15/5.81 (~trans(s299, s170)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33515, 31405, 30043])).
% 7.15/5.81 tff(33517,assumption,(~until2p29(s264)), introduced(assumption)).
% 7.15/5.81 tff(33518,assumption,(trans(s299, s264)), introduced(assumption)).
% 7.15/5.81 tff(33519,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33520,plain,
% 7.15/5.81 (((~trans(s299, s264)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s264)) <=> (until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33521,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33520])).
% 7.15/5.81 tff(33522,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33521, 33519])).
% 7.15/5.81 tff(33523,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s264))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33524,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s264) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s264))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 7.15/5.81 tff(33525,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33524, 30054, 33518, 30252, 33517, 30703])).
% 7.15/5.81 tff(33526,plain,((~trans(s299, s264)) | until2p29(s264) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33527,plain,
% 7.15/5.81 (~trans(s299, s264)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33526, 30442, 30043])).
% 7.15/5.81 tff(33528,assumption,(~until2p29(s120)), introduced(assumption)).
% 7.15/5.81 tff(33529,assumption,(trans(s299, s120)), introduced(assumption)).
% 7.15/5.81 tff(33530,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33531,plain,
% 7.15/5.81 (((~trans(s299, s120)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s120)) <=> (until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33532,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33531])).
% 7.15/5.81 tff(33533,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33532, 33530])).
% 7.15/5.81 tff(33534,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s120))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33535,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s120))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33534, 33533])).
% 7.15/5.81 tff(33536,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33535, 30054, 33529, 30252, 33528, 30703])).
% 7.15/5.81 tff(33537,plain,((~trans(s299, s120)) | until2p29(s120) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33538,plain,
% 7.15/5.81 (~trans(s299, s120)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33537, 31916, 30043])).
% 7.15/5.81 tff(33539,assumption,(~until2p29(s51)), introduced(assumption)).
% 7.15/5.81 tff(33540,assumption,(trans(s299, s51)), introduced(assumption)).
% 7.15/5.81 tff(33541,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33542,plain,
% 7.15/5.81 (((~trans(s299, s51)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s51)) <=> (until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33543,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33542])).
% 7.15/5.81 tff(33544,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33543, 33541])).
% 7.15/5.81 tff(33545,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s51))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33546,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s51))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33545, 33544])).
% 7.15/5.81 tff(33547,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33546, 30054, 33540, 30252, 33539, 30703])).
% 7.15/5.81 tff(33548,plain,((~trans(s299, s51)) | until2p29(s51) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33549,plain,
% 7.15/5.81 (~trans(s299, s51)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33548, 32628, 30043])).
% 7.15/5.81 tff(33550,assumption,(~until2p29(s254)), introduced(assumption)).
% 7.15/5.81 tff(33551,assumption,(trans(s299, s254)), introduced(assumption)).
% 7.15/5.81 tff(33552,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33553,plain,
% 7.15/5.81 (((~trans(s299, s254)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s254)) <=> (until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33554,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33553])).
% 7.15/5.81 tff(33555,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33554, 33552])).
% 7.15/5.81 tff(33556,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s254))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33557,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s254) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s254))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 7.15/5.81 tff(33558,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33557, 30054, 33551, 30252, 33550, 30703])).
% 7.15/5.81 tff(33559,plain,((~trans(s299, s254)) | until2p29(s254) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33560,plain,
% 7.15/5.81 (~trans(s299, s254)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33559, 30542, 30043])).
% 7.15/5.81 tff(33561,assumption,(~until2p29(s249)), introduced(assumption)).
% 7.15/5.81 tff(33562,assumption,(trans(s299, s249)), introduced(assumption)).
% 7.15/5.81 tff(33563,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33564,plain,
% 7.15/5.81 (((~trans(s299, s249)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s249)) <=> (until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33565,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33564])).
% 7.15/5.81 tff(33566,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33565, 33563])).
% 7.15/5.81 tff(33567,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s249))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33568,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s249) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s249))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 7.15/5.81 tff(33569,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33568, 30054, 33562, 30252, 33561, 30703])).
% 7.15/5.81 tff(33570,plain,((~trans(s299, s249)) | until2p29(s249) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33571,plain,
% 7.15/5.81 (~trans(s299, s249)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33570, 30592, 30043])).
% 7.15/5.81 tff(33572,assumption,(~until2p29(s190)), introduced(assumption)).
% 7.15/5.81 tff(33573,assumption,(trans(s299, s190)), introduced(assumption)).
% 7.15/5.81 tff(33574,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33575,plain,
% 7.15/5.81 (((~trans(s299, s190)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s190)) <=> (until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33576,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33575])).
% 7.15/5.81 tff(33577,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33576, 33574])).
% 7.15/5.81 tff(33578,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s190))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33579,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s190))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 7.15/5.81 tff(33580,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33579, 30054, 33573, 30252, 33572, 30703])).
% 7.15/5.81 tff(33581,plain,((~trans(s299, s190)) | until2p29(s190) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33582,plain,
% 7.15/5.81 (~trans(s299, s190)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33581, 31194, 30043])).
% 7.15/5.81 tff(33583,assumption,(~until2p29(s248)), introduced(assumption)).
% 7.15/5.81 tff(33584,assumption,(trans(s299, s248)), introduced(assumption)).
% 7.15/5.81 tff(33585,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33586,plain,
% 7.15/5.81 (((~trans(s299, s248)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s248)) <=> (until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33587,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33586])).
% 7.15/5.81 tff(33588,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33587, 33585])).
% 7.15/5.81 tff(33589,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s248))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33590,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s248) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s248))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 7.15/5.81 tff(33591,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33590, 30054, 33584, 30252, 33583, 30703])).
% 7.15/5.81 tff(33592,plain,((~trans(s299, s248)) | until2p29(s248) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33593,plain,
% 7.15/5.81 (~trans(s299, s248)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33592, 30602, 30043])).
% 7.15/5.81 tff(33594,assumption,(~until2p29(s206)), introduced(assumption)).
% 7.15/5.81 tff(33595,assumption,(trans(s299, s206)), introduced(assumption)).
% 7.15/5.81 tff(33596,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33597,plain,
% 7.15/5.81 (((~trans(s299, s206)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s206)) <=> (until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33598,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33597])).
% 7.15/5.81 tff(33599,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33598, 33596])).
% 7.15/5.81 tff(33600,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s206))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33601,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s206) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s206))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 7.15/5.81 tff(33602,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33601, 30054, 33595, 30252, 33594, 30703])).
% 7.15/5.81 tff(33603,plain,((~trans(s299, s206)) | until2p29(s206) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33604,plain,
% 7.15/5.81 (~trans(s299, s206)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33603, 31034, 30043])).
% 7.15/5.81 tff(33605,assumption,(~until2p29(s219)), introduced(assumption)).
% 7.15/5.81 tff(33606,assumption,(trans(s299, s219)), introduced(assumption)).
% 7.15/5.81 tff(33607,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33608,plain,
% 7.15/5.81 (((~trans(s299, s219)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s219)) <=> (until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33609,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33608])).
% 7.15/5.81 tff(33610,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33609, 33607])).
% 7.15/5.81 tff(33611,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s219))),
% 7.15/5.81 inference(quant_inst,[status(thm)],[])).
% 7.15/5.81 tff(33612,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s219) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s219))),
% 7.15/5.81 inference(modus_ponens,[status(thm)],[33611, 33610])).
% 7.15/5.81 tff(33613,plain,
% 7.15/5.81 ($false),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33612, 30054, 33606, 30252, 33605, 30703])).
% 7.15/5.81 tff(33614,plain,((~trans(s299, s219)) | until2p29(s219) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.81 tff(33615,plain,
% 7.15/5.81 (~trans(s299, s219)),
% 7.15/5.81 inference(unit_resolution,[status(thm)],[33614, 30904, 30043])).
% 7.15/5.81 tff(33616,assumption,(~until2p29(s53)), introduced(assumption)).
% 7.15/5.81 tff(33617,assumption,(trans(s299, s53)), introduced(assumption)).
% 7.15/5.81 tff(33618,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33619,plain,
% 7.15/5.81 (((~trans(s299, s53)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s53)) <=> (until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53)))),
% 7.15/5.81 inference(rewrite,[status(thm)],[])).
% 7.15/5.81 tff(33620,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53))))),
% 7.15/5.81 inference(monotonicity,[status(thm)],[33619])).
% 7.15/5.81 tff(33621,plain,
% 7.15/5.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53)))),
% 7.15/5.81 inference(transitivity,[status(thm)],[33620, 33618])).
% 7.15/5.81 tff(33622,plain,
% 7.15/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s53))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33623,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s53))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 7.15/5.82 tff(33624,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33623, 30054, 33617, 30252, 33616, 30703])).
% 7.15/5.82 tff(33625,plain,((~trans(s299, s53)) | until2p29(s53) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33626,plain,
% 7.15/5.82 (~trans(s299, s53)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33625, 32608, 30043])).
% 7.15/5.82 tff(33627,assumption,(~until2p29(s297)), introduced(assumption)).
% 7.15/5.82 tff(33628,assumption,(trans(s299, s297)), introduced(assumption)).
% 7.15/5.82 tff(33629,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33630,plain,
% 7.15/5.82 (((~trans(s299, s297)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s297)) <=> (until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33631,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33630])).
% 7.15/5.82 tff(33632,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33631, 33629])).
% 7.15/5.82 tff(33633,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s297))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33634,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s297) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s297))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 7.15/5.82 tff(33635,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33634, 30054, 33628, 30252, 33627, 30703])).
% 7.15/5.82 tff(33636,plain,((~trans(s299, s297)) | until2p29(s297) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33637,plain,
% 7.15/5.82 (~trans(s299, s297)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33636, 30102, 30043])).
% 7.15/5.82 tff(33638,assumption,(~until2p29(s38)), introduced(assumption)).
% 7.15/5.82 tff(33639,assumption,(trans(s299, s38)), introduced(assumption)).
% 7.15/5.82 tff(33640,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33641,plain,
% 7.15/5.82 (((~trans(s299, s38)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s38)) <=> (until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33642,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33641])).
% 7.15/5.82 tff(33643,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33642, 33640])).
% 7.15/5.82 tff(33644,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s38))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33645,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s38))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33644, 33643])).
% 7.15/5.82 tff(33646,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33645, 30054, 33639, 30252, 33638, 30703])).
% 7.15/5.82 tff(33647,plain,((~trans(s299, s38)) | until2p29(s38) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33648,plain,
% 7.15/5.82 (~trans(s299, s38)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33647, 32758, 30043])).
% 7.15/5.82 tff(33649,assumption,(~until2p29(s141)), introduced(assumption)).
% 7.15/5.82 tff(33650,assumption,(trans(s299, s141)), introduced(assumption)).
% 7.15/5.82 tff(33651,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33652,plain,
% 7.15/5.82 (((~trans(s299, s141)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s141)) <=> (until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33653,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33652])).
% 7.15/5.82 tff(33654,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33653, 33651])).
% 7.15/5.82 tff(33655,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s141))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33656,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s141))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 7.15/5.82 tff(33657,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33656, 30054, 33650, 30252, 33649, 30703])).
% 7.15/5.82 tff(33658,plain,((~trans(s299, s141)) | until2p29(s141) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33659,plain,
% 7.15/5.82 (~trans(s299, s141)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33658, 31706, 30043])).
% 7.15/5.82 tff(33660,assumption,(~until2p29(s107)), introduced(assumption)).
% 7.15/5.82 tff(33661,assumption,(trans(s299, s107)), introduced(assumption)).
% 7.15/5.82 tff(33662,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33663,plain,
% 7.15/5.82 (((~trans(s299, s107)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s107)) <=> (until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33664,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33663])).
% 7.15/5.82 tff(33665,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33664, 33662])).
% 7.15/5.82 tff(33666,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s107))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33667,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s107))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33666, 33665])).
% 7.15/5.82 tff(33668,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33667, 30054, 33661, 30252, 33660, 30703])).
% 7.15/5.82 tff(33669,plain,((~trans(s299, s107)) | until2p29(s107) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33670,plain,
% 7.15/5.82 (~trans(s299, s107)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33669, 32046, 30043])).
% 7.15/5.82 tff(33671,assumption,(~until2p29(s155)), introduced(assumption)).
% 7.15/5.82 tff(33672,assumption,(trans(s299, s155)), introduced(assumption)).
% 7.15/5.82 tff(33673,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33674,plain,
% 7.15/5.82 (((~trans(s299, s155)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s155)) <=> (until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33675,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33674])).
% 7.15/5.82 tff(33676,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33675, 33673])).
% 7.15/5.82 tff(33677,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s155))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33678,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s155))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 7.15/5.82 tff(33679,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33678, 30054, 33672, 30252, 33671, 30703])).
% 7.15/5.82 tff(33680,plain,((~trans(s299, s155)) | until2p29(s155) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33681,plain,
% 7.15/5.82 (~trans(s299, s155)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33680, 31555, 30043])).
% 7.15/5.82 tff(33682,assumption,(~until2p29(s177)), introduced(assumption)).
% 7.15/5.82 tff(33683,assumption,(trans(s299, s177)), introduced(assumption)).
% 7.15/5.82 tff(33684,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33685,plain,
% 7.15/5.82 (((~trans(s299, s177)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s177)) <=> (until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33686,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33685])).
% 7.15/5.82 tff(33687,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33686, 33684])).
% 7.15/5.82 tff(33688,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s177))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33689,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s177))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 7.15/5.82 tff(33690,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33689, 30054, 33683, 30252, 33682, 30703])).
% 7.15/5.82 tff(33691,plain,((~trans(s299, s177)) | until2p29(s177) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33692,plain,
% 7.15/5.82 (~trans(s299, s177)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33691, 31335, 30043])).
% 7.15/5.82 tff(33693,assumption,(~until2p29(s129)), introduced(assumption)).
% 7.15/5.82 tff(33694,assumption,(trans(s299, s129)), introduced(assumption)).
% 7.15/5.82 tff(33695,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33696,plain,
% 7.15/5.82 (((~trans(s299, s129)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s129)) <=> (until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33697,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33696])).
% 7.15/5.82 tff(33698,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33697, 33695])).
% 7.15/5.82 tff(33699,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s129))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33700,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s129))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 7.15/5.82 tff(33701,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33700, 30054, 33694, 30252, 33693, 30703])).
% 7.15/5.82 tff(33702,plain,((~trans(s299, s129)) | until2p29(s129) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33703,plain,
% 7.15/5.82 (~trans(s299, s129)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33702, 31826, 30043])).
% 7.15/5.82 tff(33704,assumption,(~until2p29(s231)), introduced(assumption)).
% 7.15/5.82 tff(33705,assumption,(trans(s299, s231)), introduced(assumption)).
% 7.15/5.82 tff(33706,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33707,plain,
% 7.15/5.82 (((~trans(s299, s231)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s231)) <=> (until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33708,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33707])).
% 7.15/5.82 tff(33709,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33708, 33706])).
% 7.15/5.82 tff(33710,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s231))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33711,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s231) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s231))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33710, 33709])).
% 7.15/5.82 tff(33712,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33711, 30054, 33705, 30252, 33704, 30703])).
% 7.15/5.82 tff(33713,plain,((~trans(s299, s231)) | until2p29(s231) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33714,plain,
% 7.15/5.82 (~trans(s299, s231)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33713, 30784, 30043])).
% 7.15/5.82 tff(33715,assumption,(~until2p29(s43)), introduced(assumption)).
% 7.15/5.82 tff(33716,assumption,(trans(s299, s43)), introduced(assumption)).
% 7.15/5.82 tff(33717,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33718,plain,
% 7.15/5.82 (((~trans(s299, s43)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s43)) <=> (until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33719,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33718])).
% 7.15/5.82 tff(33720,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33719, 33717])).
% 7.15/5.82 tff(33721,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s43))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33722,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s43))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33721, 33720])).
% 7.15/5.82 tff(33723,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33722, 30054, 33716, 30252, 33715, 30703])).
% 7.15/5.82 tff(33724,plain,((~trans(s299, s43)) | until2p29(s43) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33725,plain,
% 7.15/5.82 (~trans(s299, s43)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33724, 32708, 30043])).
% 7.15/5.82 tff(33726,assumption,(~until2p29(s74)), introduced(assumption)).
% 7.15/5.82 tff(33727,assumption,(trans(s299, s74)), introduced(assumption)).
% 7.15/5.82 tff(33728,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33729,plain,
% 7.15/5.82 (((~trans(s299, s74)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s74)) <=> (until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33730,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33729])).
% 7.15/5.82 tff(33731,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33730, 33728])).
% 7.15/5.82 tff(33732,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s74))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33733,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s74))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 7.15/5.82 tff(33734,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33733, 30054, 33727, 30252, 33726, 30703])).
% 7.15/5.82 tff(33735,plain,((~trans(s299, s74)) | until2p29(s74) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33736,plain,
% 7.15/5.82 (~trans(s299, s74)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33735, 32398, 30043])).
% 7.15/5.82 tff(33737,assumption,(~until2p29(s85)), introduced(assumption)).
% 7.15/5.82 tff(33738,assumption,(trans(s299, s85)), introduced(assumption)).
% 7.15/5.82 tff(33739,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33740,plain,
% 7.15/5.82 (((~trans(s299, s85)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s85)) <=> (until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33741,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33740])).
% 7.15/5.82 tff(33742,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33741, 33739])).
% 7.15/5.82 tff(33743,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s85))),
% 7.15/5.82 inference(quant_inst,[status(thm)],[])).
% 7.15/5.82 tff(33744,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s85))),
% 7.15/5.82 inference(modus_ponens,[status(thm)],[33743, 33742])).
% 7.15/5.82 tff(33745,plain,
% 7.15/5.82 ($false),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33744, 30054, 33738, 30252, 33737, 30703])).
% 7.15/5.82 tff(33746,plain,((~trans(s299, s85)) | until2p29(s85) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.82 tff(33747,plain,
% 7.15/5.82 (~trans(s299, s85)),
% 7.15/5.82 inference(unit_resolution,[status(thm)],[33746, 32288, 30043])).
% 7.15/5.82 tff(33748,assumption,(~until2p29(s250)), introduced(assumption)).
% 7.15/5.82 tff(33749,assumption,(trans(s299, s250)), introduced(assumption)).
% 7.15/5.82 tff(33750,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33751,plain,
% 7.15/5.82 (((~trans(s299, s250)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s250)) <=> (until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250)))),
% 7.15/5.82 inference(rewrite,[status(thm)],[])).
% 7.15/5.82 tff(33752,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250))))),
% 7.15/5.82 inference(monotonicity,[status(thm)],[33751])).
% 7.15/5.82 tff(33753,plain,
% 7.15/5.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250)))),
% 7.15/5.82 inference(transitivity,[status(thm)],[33752, 33750])).
% 7.15/5.82 tff(33754,plain,
% 7.15/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s250))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33755,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s250) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s250))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 7.15/5.83 tff(33756,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33755, 30054, 33749, 30252, 33748, 30703])).
% 7.15/5.83 tff(33757,plain,((~trans(s299, s250)) | until2p29(s250) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33758,plain,
% 7.15/5.83 (~trans(s299, s250)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33757, 30582, 30043])).
% 7.15/5.83 tff(33759,assumption,(~until2p29(s169)), introduced(assumption)).
% 7.15/5.83 tff(33760,assumption,(trans(s299, s169)), introduced(assumption)).
% 7.15/5.83 tff(33761,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33762,plain,
% 7.15/5.83 (((~trans(s299, s169)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s169)) <=> (until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33763,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33762])).
% 7.15/5.83 tff(33764,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33763, 33761])).
% 7.15/5.83 tff(33765,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s169))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33766,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s169))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 7.15/5.83 tff(33767,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33766, 30054, 33760, 30252, 33759, 30703])).
% 7.15/5.83 tff(33768,plain,((~trans(s299, s169)) | until2p29(s169) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33769,plain,
% 7.15/5.83 (~trans(s299, s169)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33768, 31415, 30043])).
% 7.15/5.83 tff(33770,assumption,(~until2p29(s260)), introduced(assumption)).
% 7.15/5.83 tff(33771,assumption,(trans(s299, s260)), introduced(assumption)).
% 7.15/5.83 tff(33772,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33773,plain,
% 7.15/5.83 (((~trans(s299, s260)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s260)) <=> (until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33774,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33773])).
% 7.15/5.83 tff(33775,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33774, 33772])).
% 7.15/5.83 tff(33776,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s260))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33777,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s260) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s260))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33776, 33775])).
% 7.15/5.83 tff(33778,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33777, 30054, 33771, 30252, 33770, 30703])).
% 7.15/5.83 tff(33779,plain,((~trans(s299, s260)) | until2p29(s260) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33780,plain,
% 7.15/5.83 (~trans(s299, s260)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33779, 30482, 30043])).
% 7.15/5.83 tff(33781,assumption,(~until2p29(s263)), introduced(assumption)).
% 7.15/5.83 tff(33782,assumption,(trans(s299, s263)), introduced(assumption)).
% 7.15/5.83 tff(33783,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33784,plain,
% 7.15/5.83 (((~trans(s299, s263)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s263)) <=> (until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33785,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33784])).
% 7.15/5.83 tff(33786,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33785, 33783])).
% 7.15/5.83 tff(33787,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s263))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33788,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s263) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s263))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33787, 33786])).
% 7.15/5.83 tff(33789,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33788, 30054, 33782, 30252, 33781, 30703])).
% 7.15/5.83 tff(33790,plain,((~trans(s299, s263)) | until2p29(s263) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33791,plain,
% 7.15/5.83 (~trans(s299, s263)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33790, 30452, 30043])).
% 7.15/5.83 tff(33792,assumption,(~until2p29(s118)), introduced(assumption)).
% 7.15/5.83 tff(33793,assumption,(trans(s299, s118)), introduced(assumption)).
% 7.15/5.83 tff(33794,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33795,plain,
% 7.15/5.83 (((~trans(s299, s118)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s118)) <=> (until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33796,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33795])).
% 7.15/5.83 tff(33797,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33796, 33794])).
% 7.15/5.83 tff(33798,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s118))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33799,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s118))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 7.15/5.83 tff(33800,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33799, 30054, 33793, 30252, 33792, 30703])).
% 7.15/5.83 tff(33801,plain,((~trans(s299, s118)) | until2p29(s118) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33802,plain,
% 7.15/5.83 (~trans(s299, s118)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33801, 31936, 30043])).
% 7.15/5.83 tff(33803,assumption,(~until2p29(s158)), introduced(assumption)).
% 7.15/5.83 tff(33804,assumption,(trans(s299, s158)), introduced(assumption)).
% 7.15/5.83 tff(33805,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33806,plain,
% 7.15/5.83 (((~trans(s299, s158)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s158)) <=> (until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33807,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33806])).
% 7.15/5.83 tff(33808,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33807, 33805])).
% 7.15/5.83 tff(33809,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s158))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33810,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s158))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 7.15/5.83 tff(33811,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33810, 30054, 33804, 30252, 33803, 30703])).
% 7.15/5.83 tff(33812,plain,((~trans(s299, s158)) | until2p29(s158) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33813,plain,
% 7.15/5.83 (~trans(s299, s158)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33812, 31525, 30043])).
% 7.15/5.83 tff(33814,assumption,(~until2p29(s148)), introduced(assumption)).
% 7.15/5.83 tff(33815,assumption,(trans(s299, s148)), introduced(assumption)).
% 7.15/5.83 tff(33816,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33817,plain,
% 7.15/5.83 (((~trans(s299, s148)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s148)) <=> (until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33818,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33817])).
% 7.15/5.83 tff(33819,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33818, 33816])).
% 7.15/5.83 tff(33820,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s148))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33821,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s148))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 7.15/5.83 tff(33822,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33821, 30054, 33815, 30252, 33814, 30703])).
% 7.15/5.83 tff(33823,plain,((~trans(s299, s148)) | until2p29(s148) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33824,plain,
% 7.15/5.83 (~trans(s299, s148)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33823, 31636, 30043])).
% 7.15/5.83 tff(33825,assumption,(~until2p29(s268)), introduced(assumption)).
% 7.15/5.83 tff(33826,assumption,(trans(s299, s268)), introduced(assumption)).
% 7.15/5.83 tff(33827,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33828,plain,
% 7.15/5.83 (((~trans(s299, s268)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s268)) <=> (until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33829,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33828])).
% 7.15/5.83 tff(33830,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33829, 33827])).
% 7.15/5.83 tff(33831,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s268))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33832,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s268) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s268))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33831, 33830])).
% 7.15/5.83 tff(33833,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33832, 30054, 33826, 30252, 33825, 30703])).
% 7.15/5.83 tff(33834,plain,((~trans(s299, s268)) | until2p29(s268) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33835,plain,
% 7.15/5.83 (~trans(s299, s268)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33834, 30402, 30043])).
% 7.15/5.83 tff(33836,assumption,(~until2p29(s45)), introduced(assumption)).
% 7.15/5.83 tff(33837,assumption,(trans(s299, s45)), introduced(assumption)).
% 7.15/5.83 tff(33838,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33839,plain,
% 7.15/5.83 (((~trans(s299, s45)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s45)) <=> (until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33840,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33839])).
% 7.15/5.83 tff(33841,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33840, 33838])).
% 7.15/5.83 tff(33842,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s45))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33843,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s45))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 7.15/5.83 tff(33844,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33843, 30054, 33837, 30252, 33836, 30703])).
% 7.15/5.83 tff(33845,plain,((~trans(s299, s45)) | until2p29(s45) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33846,plain,
% 7.15/5.83 (~trans(s299, s45)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33845, 32688, 30043])).
% 7.15/5.83 tff(33847,assumption,(~until2p29(s117)), introduced(assumption)).
% 7.15/5.83 tff(33848,assumption,(trans(s299, s117)), introduced(assumption)).
% 7.15/5.83 tff(33849,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33850,plain,
% 7.15/5.83 (((~trans(s299, s117)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s117)) <=> (until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33851,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33850])).
% 7.15/5.83 tff(33852,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33851, 33849])).
% 7.15/5.83 tff(33853,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s117))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33854,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s117))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 7.15/5.83 tff(33855,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33854, 30054, 33848, 30252, 33847, 30703])).
% 7.15/5.83 tff(33856,plain,((~trans(s299, s117)) | until2p29(s117) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33857,plain,
% 7.15/5.83 (~trans(s299, s117)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33856, 31946, 30043])).
% 7.15/5.83 tff(33858,assumption,(~until2p29(s112)), introduced(assumption)).
% 7.15/5.83 tff(33859,assumption,(trans(s299, s112)), introduced(assumption)).
% 7.15/5.83 tff(33860,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33861,plain,
% 7.15/5.83 (((~trans(s299, s112)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s112)) <=> (until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33862,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33861])).
% 7.15/5.83 tff(33863,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33862, 33860])).
% 7.15/5.83 tff(33864,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s112))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33865,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s112))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33864, 33863])).
% 7.15/5.83 tff(33866,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33865, 30054, 33859, 30252, 33858, 30703])).
% 7.15/5.83 tff(33867,plain,((~trans(s299, s112)) | until2p29(s112) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33868,plain,
% 7.15/5.83 (~trans(s299, s112)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33867, 31996, 30043])).
% 7.15/5.83 tff(33869,assumption,(~until2p29(s237)), introduced(assumption)).
% 7.15/5.83 tff(33870,assumption,(trans(s299, s237)), introduced(assumption)).
% 7.15/5.83 tff(33871,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33872,plain,
% 7.15/5.83 (((~trans(s299, s237)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s237)) <=> (until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33873,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33872])).
% 7.15/5.83 tff(33874,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33873, 33871])).
% 7.15/5.83 tff(33875,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s237))),
% 7.15/5.83 inference(quant_inst,[status(thm)],[])).
% 7.15/5.83 tff(33876,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s237) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s237))),
% 7.15/5.83 inference(modus_ponens,[status(thm)],[33875, 33874])).
% 7.15/5.83 tff(33877,plain,
% 7.15/5.83 ($false),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33876, 30054, 33870, 30252, 33869, 30703])).
% 7.15/5.83 tff(33878,plain,((~trans(s299, s237)) | until2p29(s237) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.83 tff(33879,plain,
% 7.15/5.83 (~trans(s299, s237)),
% 7.15/5.83 inference(unit_resolution,[status(thm)],[33878, 30724, 30043])).
% 7.15/5.83 tff(33880,assumption,(~until2p29(s282)), introduced(assumption)).
% 7.15/5.83 tff(33881,assumption,(trans(s299, s282)), introduced(assumption)).
% 7.15/5.83 tff(33882,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33883,plain,
% 7.15/5.83 (((~trans(s299, s282)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s282)) <=> (until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282)))),
% 7.15/5.83 inference(rewrite,[status(thm)],[])).
% 7.15/5.83 tff(33884,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282))))),
% 7.15/5.83 inference(monotonicity,[status(thm)],[33883])).
% 7.15/5.83 tff(33885,plain,
% 7.15/5.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282)))),
% 7.15/5.83 inference(transitivity,[status(thm)],[33884, 33882])).
% 7.15/5.83 tff(33886,plain,
% 7.15/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s282))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33887,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s282) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s282))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33886, 33885])).
% 7.15/5.84 tff(33888,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33887, 30054, 33881, 30252, 33880, 30703])).
% 7.15/5.84 tff(33889,plain,((~trans(s299, s282)) | until2p29(s282) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33890,plain,
% 7.15/5.84 (~trans(s299, s282)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33889, 30262, 30043])).
% 7.15/5.84 tff(33891,assumption,(~until2p29(s198)), introduced(assumption)).
% 7.15/5.84 tff(33892,assumption,(trans(s299, s198)), introduced(assumption)).
% 7.15/5.84 tff(33893,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33894,plain,
% 7.15/5.84 (((~trans(s299, s198)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s198)) <=> (until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33895,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33894])).
% 7.15/5.84 tff(33896,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33895, 33893])).
% 7.15/5.84 tff(33897,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s198))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33898,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s198))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 7.15/5.84 tff(33899,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33898, 30054, 33892, 30252, 33891, 30703])).
% 7.15/5.84 tff(33900,plain,((~trans(s299, s198)) | until2p29(s198) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33901,plain,
% 7.15/5.84 (~trans(s299, s198)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33900, 31114, 30043])).
% 7.15/5.84 tff(33902,assumption,(~until2p29(s280)), introduced(assumption)).
% 7.15/5.84 tff(33903,assumption,(trans(s299, s280)), introduced(assumption)).
% 7.15/5.84 tff(33904,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33905,plain,
% 7.15/5.84 (((~trans(s299, s280)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s280)) <=> (until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33906,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33905])).
% 7.15/5.84 tff(33907,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33906, 33904])).
% 7.15/5.84 tff(33908,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s280))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33909,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s280) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s280))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 7.15/5.84 tff(33910,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33909, 30054, 33903, 30252, 33902, 30703])).
% 7.15/5.84 tff(33911,plain,((~trans(s299, s280)) | until2p29(s280) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33912,plain,
% 7.15/5.84 (~trans(s299, s280)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33911, 30282, 30043])).
% 7.15/5.84 tff(33913,assumption,(~until2p29(s136)), introduced(assumption)).
% 7.15/5.84 tff(33914,assumption,(trans(s299, s136)), introduced(assumption)).
% 7.15/5.84 tff(33915,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33916,plain,
% 7.15/5.84 (((~trans(s299, s136)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s136)) <=> (until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33917,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33916])).
% 7.15/5.84 tff(33918,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33917, 33915])).
% 7.15/5.84 tff(33919,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s136))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33920,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s136))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 7.15/5.84 tff(33921,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33920, 30054, 33914, 30252, 33913, 30703])).
% 7.15/5.84 tff(33922,plain,((~trans(s299, s136)) | until2p29(s136) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33923,plain,
% 7.15/5.84 (~trans(s299, s136)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33922, 31756, 30043])).
% 7.15/5.84 tff(33924,assumption,(~until2p29(s55)), introduced(assumption)).
% 7.15/5.84 tff(33925,assumption,(trans(s299, s55)), introduced(assumption)).
% 7.15/5.84 tff(33926,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33927,plain,
% 7.15/5.84 (((~trans(s299, s55)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s55)) <=> (until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33928,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33927])).
% 7.15/5.84 tff(33929,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33928, 33926])).
% 7.15/5.84 tff(33930,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s55))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33931,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s55))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33930, 33929])).
% 7.15/5.84 tff(33932,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33931, 30054, 33925, 30252, 33924, 30703])).
% 7.15/5.84 tff(33933,plain,((~trans(s299, s55)) | until2p29(s55) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33934,plain,
% 7.15/5.84 (~trans(s299, s55)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33933, 32588, 30043])).
% 7.15/5.84 tff(33935,assumption,(~until2p29(s174)), introduced(assumption)).
% 7.15/5.84 tff(33936,assumption,(trans(s299, s174)), introduced(assumption)).
% 7.15/5.84 tff(33937,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33938,plain,
% 7.15/5.84 (((~trans(s299, s174)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s174)) <=> (until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33939,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33938])).
% 7.15/5.84 tff(33940,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33939, 33937])).
% 7.15/5.84 tff(33941,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s174))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33942,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s174))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33941, 33940])).
% 7.15/5.84 tff(33943,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33942, 30054, 33936, 30252, 33935, 30703])).
% 7.15/5.84 tff(33944,plain,((~trans(s299, s174)) | until2p29(s174) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33945,plain,
% 7.15/5.84 (~trans(s299, s174)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33944, 31365, 30043])).
% 7.15/5.84 tff(33946,assumption,(~until2p29(s146)), introduced(assumption)).
% 7.15/5.84 tff(33947,assumption,(trans(s299, s146)), introduced(assumption)).
% 7.15/5.84 tff(33948,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33949,plain,
% 7.15/5.84 (((~trans(s299, s146)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s146)) <=> (until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33950,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33949])).
% 7.15/5.84 tff(33951,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33950, 33948])).
% 7.15/5.84 tff(33952,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s146))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33953,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s146))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33952, 33951])).
% 7.15/5.84 tff(33954,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33953, 30054, 33947, 30252, 33946, 30703])).
% 7.15/5.84 tff(33955,plain,((~trans(s299, s146)) | until2p29(s146) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33956,plain,
% 7.15/5.84 (~trans(s299, s146)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33955, 31656, 30043])).
% 7.15/5.84 tff(33957,assumption,(~until2p29(s272)), introduced(assumption)).
% 7.15/5.84 tff(33958,assumption,(trans(s299, s272)), introduced(assumption)).
% 7.15/5.84 tff(33959,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33960,plain,
% 7.15/5.84 (((~trans(s299, s272)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s272)) <=> (until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33961,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33960])).
% 7.15/5.84 tff(33962,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33961, 33959])).
% 7.15/5.84 tff(33963,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s272))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33964,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s272) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s272))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 7.15/5.84 tff(33965,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33964, 30054, 33958, 30252, 33957, 30703])).
% 7.15/5.84 tff(33966,plain,((~trans(s299, s272)) | until2p29(s272) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33967,plain,
% 7.15/5.84 (~trans(s299, s272)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33966, 30362, 30043])).
% 7.15/5.84 tff(33968,assumption,(~until2p29(s59)), introduced(assumption)).
% 7.15/5.84 tff(33969,assumption,(trans(s299, s59)), introduced(assumption)).
% 7.15/5.84 tff(33970,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33971,plain,
% 7.15/5.84 (((~trans(s299, s59)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s59)) <=> (until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33972,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33971])).
% 7.15/5.84 tff(33973,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33972, 33970])).
% 7.15/5.84 tff(33974,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s59))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33975,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s59))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33974, 33973])).
% 7.15/5.84 tff(33976,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33975, 30054, 33969, 30252, 33968, 30703])).
% 7.15/5.84 tff(33977,plain,((~trans(s299, s59)) | until2p29(s59) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33978,plain,
% 7.15/5.84 (~trans(s299, s59)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33977, 32548, 30043])).
% 7.15/5.84 tff(33979,assumption,(~until2p29(s164)), introduced(assumption)).
% 7.15/5.84 tff(33980,assumption,(trans(s299, s164)), introduced(assumption)).
% 7.15/5.84 tff(33981,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33982,plain,
% 7.15/5.84 (((~trans(s299, s164)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s164)) <=> (until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33983,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33982])).
% 7.15/5.84 tff(33984,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33983, 33981])).
% 7.15/5.84 tff(33985,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s164))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33986,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s164))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33985, 33984])).
% 7.15/5.84 tff(33987,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33986, 30054, 33980, 30252, 33979, 30703])).
% 7.15/5.84 tff(33988,plain,((~trans(s299, s164)) | until2p29(s164) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(33989,plain,
% 7.15/5.84 (~trans(s299, s164)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33988, 31465, 30043])).
% 7.15/5.84 tff(33990,assumption,(~until2p29(s209)), introduced(assumption)).
% 7.15/5.84 tff(33991,assumption,(trans(s299, s209)), introduced(assumption)).
% 7.15/5.84 tff(33992,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33993,plain,
% 7.15/5.84 (((~trans(s299, s209)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s209)) <=> (until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(33994,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[33993])).
% 7.15/5.84 tff(33995,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[33994, 33992])).
% 7.15/5.84 tff(33996,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s209))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(33997,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s209) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s209))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[33996, 33995])).
% 7.15/5.84 tff(33998,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33997, 30054, 33991, 30252, 33990, 30703])).
% 7.15/5.84 tff(33999,plain,((~trans(s299, s209)) | until2p29(s209) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(34000,plain,
% 7.15/5.84 (~trans(s299, s209)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[33999, 31004, 30043])).
% 7.15/5.84 tff(34001,assumption,(~until2p29(s247)), introduced(assumption)).
% 7.15/5.84 tff(34002,assumption,(trans(s299, s247)), introduced(assumption)).
% 7.15/5.84 tff(34003,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(34004,plain,
% 7.15/5.84 (((~trans(s299, s247)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s247)) <=> (until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(34005,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[34004])).
% 7.15/5.84 tff(34006,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[34005, 34003])).
% 7.15/5.84 tff(34007,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s247))),
% 7.15/5.84 inference(quant_inst,[status(thm)],[])).
% 7.15/5.84 tff(34008,plain,
% 7.15/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s247) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s247))),
% 7.15/5.84 inference(modus_ponens,[status(thm)],[34007, 34006])).
% 7.15/5.84 tff(34009,plain,
% 7.15/5.84 ($false),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[34008, 30054, 34002, 30252, 34001, 30703])).
% 7.15/5.84 tff(34010,plain,((~trans(s299, s247)) | until2p29(s247) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.84 tff(34011,plain,
% 7.15/5.84 (~trans(s299, s247)),
% 7.15/5.84 inference(unit_resolution,[status(thm)],[34010, 30612, 30043])).
% 7.15/5.84 tff(34012,assumption,(~until2p29(s16)), introduced(assumption)).
% 7.15/5.84 tff(34013,assumption,(trans(s299, s16)), introduced(assumption)).
% 7.15/5.84 tff(34014,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(34015,plain,
% 7.15/5.84 (((~trans(s299, s16)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s16)) <=> (until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16)))),
% 7.15/5.84 inference(rewrite,[status(thm)],[])).
% 7.15/5.84 tff(34016,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16))))),
% 7.15/5.84 inference(monotonicity,[status(thm)],[34015])).
% 7.15/5.84 tff(34017,plain,
% 7.15/5.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16)))),
% 7.15/5.84 inference(transitivity,[status(thm)],[34016, 34014])).
% 7.15/5.84 tff(34018,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s16))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34019,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s16))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34018, 34017])).
% 7.15/5.85 tff(34020,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34019, 30054, 34013, 30252, 34012, 30703])).
% 7.15/5.85 tff(34021,plain,((~trans(s299, s16)) | until2p29(s16) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34022,plain,
% 7.15/5.85 (~trans(s299, s16)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34021, 32989, 30043])).
% 7.15/5.85 tff(34023,assumption,(~until2p29(s276)), introduced(assumption)).
% 7.15/5.85 tff(34024,assumption,(trans(s299, s276)), introduced(assumption)).
% 7.15/5.85 tff(34025,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34026,plain,
% 7.15/5.85 (((~trans(s299, s276)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s276)) <=> (until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34027,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34026])).
% 7.15/5.85 tff(34028,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34027, 34025])).
% 7.15/5.85 tff(34029,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s276))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34030,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s276) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s276))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 7.15/5.85 tff(34031,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34030, 30054, 34024, 30252, 34023, 30703])).
% 7.15/5.85 tff(34032,plain,((~trans(s299, s276)) | until2p29(s276) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34033,plain,
% 7.15/5.85 (~trans(s299, s276)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34032, 30322, 30043])).
% 7.15/5.85 tff(34034,assumption,(~until2p29(s262)), introduced(assumption)).
% 7.15/5.85 tff(34035,assumption,(trans(s299, s262)), introduced(assumption)).
% 7.15/5.85 tff(34036,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34037,plain,
% 7.15/5.85 (((~trans(s299, s262)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s262)) <=> (until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34038,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34037])).
% 7.15/5.85 tff(34039,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34038, 34036])).
% 7.15/5.85 tff(34040,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s262))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34041,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s262) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s262))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 7.15/5.85 tff(34042,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34041, 30054, 34035, 30252, 34034, 30703])).
% 7.15/5.85 tff(34043,plain,((~trans(s299, s262)) | until2p29(s262) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34044,plain,
% 7.15/5.85 (~trans(s299, s262)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34043, 30462, 30043])).
% 7.15/5.85 tff(34045,assumption,(~until2p29(s178)), introduced(assumption)).
% 7.15/5.85 tff(34046,assumption,(trans(s299, s178)), introduced(assumption)).
% 7.15/5.85 tff(34047,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34048,plain,
% 7.15/5.85 (((~trans(s299, s178)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s178)) <=> (until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34049,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34048])).
% 7.15/5.85 tff(34050,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34049, 34047])).
% 7.15/5.85 tff(34051,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s178))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34052,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s178))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34051, 34050])).
% 7.15/5.85 tff(34053,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34052, 30054, 34046, 30252, 34045, 30703])).
% 7.15/5.85 tff(34054,plain,((~trans(s299, s178)) | until2p29(s178) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34055,plain,
% 7.15/5.85 (~trans(s299, s178)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34054, 31325, 30043])).
% 7.15/5.85 tff(34056,assumption,(~until2p29(s96)), introduced(assumption)).
% 7.15/5.85 tff(34057,assumption,(trans(s299, s96)), introduced(assumption)).
% 7.15/5.85 tff(34058,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34059,plain,
% 7.15/5.85 (((~trans(s299, s96)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s96)) <=> (until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34060,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34059])).
% 7.15/5.85 tff(34061,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34060, 34058])).
% 7.15/5.85 tff(34062,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s96))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34063,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s96))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34062, 34061])).
% 7.15/5.85 tff(34064,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34063, 30054, 34057, 30252, 34056, 30703])).
% 7.15/5.85 tff(34065,plain,((~trans(s299, s96)) | until2p29(s96) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34066,plain,
% 7.15/5.85 (~trans(s299, s96)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34065, 32156, 30043])).
% 7.15/5.85 tff(34067,assumption,(~until2p29(s252)), introduced(assumption)).
% 7.15/5.85 tff(34068,assumption,(trans(s299, s252)), introduced(assumption)).
% 7.15/5.85 tff(34069,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34070,plain,
% 7.15/5.85 (((~trans(s299, s252)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s252)) <=> (until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34071,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34070])).
% 7.15/5.85 tff(34072,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34071, 34069])).
% 7.15/5.85 tff(34073,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s252))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34074,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s252) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s252))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34073, 34072])).
% 7.15/5.85 tff(34075,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34074, 30054, 34068, 30252, 34067, 30703])).
% 7.15/5.85 tff(34076,plain,((~trans(s299, s252)) | until2p29(s252) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34077,plain,
% 7.15/5.85 (~trans(s299, s252)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34076, 30562, 30043])).
% 7.15/5.85 tff(34078,assumption,(~until2p29(s64)), introduced(assumption)).
% 7.15/5.85 tff(34079,assumption,(trans(s299, s64)), introduced(assumption)).
% 7.15/5.85 tff(34080,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34081,plain,
% 7.15/5.85 (((~trans(s299, s64)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s64)) <=> (until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34082,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34081])).
% 7.15/5.85 tff(34083,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34082, 34080])).
% 7.15/5.85 tff(34084,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s64))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34085,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s64))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 7.15/5.85 tff(34086,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34085, 30054, 34079, 30252, 34078, 30703])).
% 7.15/5.85 tff(34087,plain,((~trans(s299, s64)) | until2p29(s64) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34088,plain,
% 7.15/5.85 (~trans(s299, s64)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34087, 32498, 30043])).
% 7.15/5.85 tff(34089,assumption,(~until2p29(s160)), introduced(assumption)).
% 7.15/5.85 tff(34090,assumption,(trans(s299, s160)), introduced(assumption)).
% 7.15/5.85 tff(34091,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34092,plain,
% 7.15/5.85 (((~trans(s299, s160)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s160)) <=> (until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34093,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34092])).
% 7.15/5.85 tff(34094,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34093, 34091])).
% 7.15/5.85 tff(34095,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s160))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34096,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s160))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34095, 34094])).
% 7.15/5.85 tff(34097,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34096, 30054, 34090, 30252, 34089, 30703])).
% 7.15/5.85 tff(34098,plain,((~trans(s299, s160)) | until2p29(s160) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34099,plain,
% 7.15/5.85 (~trans(s299, s160)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34098, 31505, 30043])).
% 7.15/5.85 tff(34100,assumption,(~until2p29(s232)), introduced(assumption)).
% 7.15/5.85 tff(34101,assumption,(trans(s299, s232)), introduced(assumption)).
% 7.15/5.85 tff(34102,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34103,plain,
% 7.15/5.85 (((~trans(s299, s232)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s232)) <=> (until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34104,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34103])).
% 7.15/5.85 tff(34105,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34104, 34102])).
% 7.15/5.85 tff(34106,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s232))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34107,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s232) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s232))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 7.15/5.85 tff(34108,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34107, 30054, 34101, 30252, 34100, 30703])).
% 7.15/5.85 tff(34109,plain,((~trans(s299, s232)) | until2p29(s232) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34110,plain,
% 7.15/5.85 (~trans(s299, s232)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34109, 30774, 30043])).
% 7.15/5.85 tff(34111,assumption,(~until2p29(s142)), introduced(assumption)).
% 7.15/5.85 tff(34112,assumption,(trans(s299, s142)), introduced(assumption)).
% 7.15/5.85 tff(34113,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34114,plain,
% 7.15/5.85 (((~trans(s299, s142)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s142)) <=> (until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34115,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34114])).
% 7.15/5.85 tff(34116,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34115, 34113])).
% 7.15/5.85 tff(34117,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s142))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34118,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s142))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34117, 34116])).
% 7.15/5.85 tff(34119,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34118, 30054, 34112, 30252, 34111, 30703])).
% 7.15/5.85 tff(34120,plain,((~trans(s299, s142)) | until2p29(s142) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34121,plain,
% 7.15/5.85 (~trans(s299, s142)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34120, 31696, 30043])).
% 7.15/5.85 tff(34122,assumption,(~until2p29(s10)), introduced(assumption)).
% 7.15/5.85 tff(34123,assumption,(trans(s299, s10)), introduced(assumption)).
% 7.15/5.85 tff(34124,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34125,plain,
% 7.15/5.85 (((~trans(s299, s10)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s10)) <=> (until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34126,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34125])).
% 7.15/5.85 tff(34127,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34126, 34124])).
% 7.15/5.85 tff(34128,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s10))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34129,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s10))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34128, 34127])).
% 7.15/5.85 tff(34130,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34129, 30054, 34123, 30252, 34122, 30703])).
% 7.15/5.85 tff(34131,plain,((~trans(s299, s10)) | until2p29(s10) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34132,plain,
% 7.15/5.85 (~trans(s299, s10)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34131, 33049, 30043])).
% 7.15/5.85 tff(34133,assumption,(~until2p29(s90)), introduced(assumption)).
% 7.15/5.85 tff(34134,assumption,(trans(s299, s90)), introduced(assumption)).
% 7.15/5.85 tff(34135,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34136,plain,
% 7.15/5.85 (((~trans(s299, s90)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s90)) <=> (until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34137,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34136])).
% 7.15/5.85 tff(34138,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34137, 34135])).
% 7.15/5.85 tff(34139,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s90))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34140,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s90))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34139, 34138])).
% 7.15/5.85 tff(34141,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34140, 30054, 34134, 30252, 34133, 30703])).
% 7.15/5.85 tff(34142,plain,((~trans(s299, s90)) | until2p29(s90) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34143,plain,
% 7.15/5.85 (~trans(s299, s90)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34142, 32238, 30043])).
% 7.15/5.85 tff(34144,assumption,(~until2p29(s210)), introduced(assumption)).
% 7.15/5.85 tff(34145,assumption,(trans(s299, s210)), introduced(assumption)).
% 7.15/5.85 tff(34146,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34147,plain,
% 7.15/5.85 (((~trans(s299, s210)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s210)) <=> (until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34148,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34147])).
% 7.15/5.85 tff(34149,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34148, 34146])).
% 7.15/5.85 tff(34150,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s210))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34151,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s210) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s210))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34150, 34149])).
% 7.15/5.85 tff(34152,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34151, 30054, 34145, 30252, 34144, 30703])).
% 7.15/5.85 tff(34153,plain,((~trans(s299, s210)) | until2p29(s210) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34154,plain,
% 7.15/5.85 (~trans(s299, s210)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34153, 30994, 30043])).
% 7.15/5.85 tff(34155,assumption,(~until2p29(s188)), introduced(assumption)).
% 7.15/5.85 tff(34156,assumption,(trans(s299, s188)), introduced(assumption)).
% 7.15/5.85 tff(34157,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34158,plain,
% 7.15/5.85 (((~trans(s299, s188)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s188)) <=> (until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34159,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188))))),
% 7.15/5.85 inference(monotonicity,[status(thm)],[34158])).
% 7.15/5.85 tff(34160,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188)))),
% 7.15/5.85 inference(transitivity,[status(thm)],[34159, 34157])).
% 7.15/5.85 tff(34161,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s188))),
% 7.15/5.85 inference(quant_inst,[status(thm)],[])).
% 7.15/5.85 tff(34162,plain,
% 7.15/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s188))),
% 7.15/5.85 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 7.15/5.85 tff(34163,plain,
% 7.15/5.85 ($false),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34162, 30054, 34156, 30252, 34155, 30703])).
% 7.15/5.85 tff(34164,plain,((~trans(s299, s188)) | until2p29(s188) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.85 tff(34165,plain,
% 7.15/5.85 (~trans(s299, s188)),
% 7.15/5.85 inference(unit_resolution,[status(thm)],[34164, 31214, 30043])).
% 7.15/5.85 tff(34166,assumption,(~until2p29(s258)), introduced(assumption)).
% 7.15/5.85 tff(34167,assumption,(trans(s299, s258)), introduced(assumption)).
% 7.15/5.85 tff(34168,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34169,plain,
% 7.15/5.85 (((~trans(s299, s258)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s258)) <=> (until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258)))),
% 7.15/5.85 inference(rewrite,[status(thm)],[])).
% 7.15/5.85 tff(34170,plain,
% 7.15/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34169])).
% 7.15/5.86 tff(34171,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34170, 34168])).
% 7.15/5.86 tff(34172,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s258))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34173,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s258) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s258))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 7.15/5.86 tff(34174,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34173, 30054, 34167, 30252, 34166, 30703])).
% 7.15/5.86 tff(34175,plain,((~trans(s299, s258)) | until2p29(s258) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34176,plain,
% 7.15/5.86 (~trans(s299, s258)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34175, 30502, 30043])).
% 7.15/5.86 tff(34177,assumption,(~until2p29(s87)), introduced(assumption)).
% 7.15/5.86 tff(34178,assumption,(trans(s299, s87)), introduced(assumption)).
% 7.15/5.86 tff(34179,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34180,plain,
% 7.15/5.86 (((~trans(s299, s87)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s87)) <=> (until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34181,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34180])).
% 7.15/5.86 tff(34182,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34181, 34179])).
% 7.15/5.86 tff(34183,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s87))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34184,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s87))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34183, 34182])).
% 7.15/5.86 tff(34185,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34184, 30054, 34178, 30252, 34177, 30703])).
% 7.15/5.86 tff(34186,plain,((~trans(s299, s87)) | until2p29(s87) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34187,plain,
% 7.15/5.86 (~trans(s299, s87)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34186, 32268, 30043])).
% 7.15/5.86 tff(34188,assumption,(~until2p29(s14)), introduced(assumption)).
% 7.15/5.86 tff(34189,assumption,(trans(s299, s14)), introduced(assumption)).
% 7.15/5.86 tff(34190,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34191,plain,
% 7.15/5.86 (((~trans(s299, s14)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s14)) <=> (until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34192,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34191])).
% 7.15/5.86 tff(34193,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34192, 34190])).
% 7.15/5.86 tff(34194,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s14))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34195,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s14))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34194, 34193])).
% 7.15/5.86 tff(34196,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34195, 30054, 34189, 30252, 34188, 30703])).
% 7.15/5.86 tff(34197,plain,((~trans(s299, s14)) | until2p29(s14) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34198,plain,
% 7.15/5.86 (~trans(s299, s14)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34197, 33009, 30043])).
% 7.15/5.86 tff(34199,assumption,(~until2p29(s240)), introduced(assumption)).
% 7.15/5.86 tff(34200,assumption,(trans(s299, s240)), introduced(assumption)).
% 7.15/5.86 tff(34201,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34202,plain,
% 7.15/5.86 (((~trans(s299, s240)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s240)) <=> (until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34203,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34202])).
% 7.15/5.86 tff(34204,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34203, 34201])).
% 7.15/5.86 tff(34205,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s240))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34206,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s240) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s240))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 7.15/5.86 tff(34207,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34206, 30054, 34200, 30252, 34199, 30703])).
% 7.15/5.86 tff(34208,plain,((~trans(s299, s240)) | until2p29(s240) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34209,plain,
% 7.15/5.86 (~trans(s299, s240)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34208, 30682, 30043])).
% 7.15/5.86 tff(34210,assumption,(~until2p29(s100)), introduced(assumption)).
% 7.15/5.86 tff(34211,assumption,(trans(s299, s100)), introduced(assumption)).
% 7.15/5.86 tff(34212,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34213,plain,
% 7.15/5.86 (((~trans(s299, s100)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s100)) <=> (until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34214,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34213])).
% 7.15/5.86 tff(34215,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34214, 34212])).
% 7.15/5.86 tff(34216,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s100))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34217,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s100))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 7.15/5.86 tff(34218,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34217, 30054, 34211, 30252, 34210, 30703])).
% 7.15/5.86 tff(34219,plain,((~trans(s299, s100)) | until2p29(s100) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34220,plain,
% 7.15/5.86 (~trans(s299, s100)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34219, 32116, 30043])).
% 7.15/5.86 tff(34221,assumption,(~until2p29(s256)), introduced(assumption)).
% 7.15/5.86 tff(34222,assumption,(trans(s299, s256)), introduced(assumption)).
% 7.15/5.86 tff(34223,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34224,plain,
% 7.15/5.86 (((~trans(s299, s256)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s256)) <=> (until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34225,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34224])).
% 7.15/5.86 tff(34226,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34225, 34223])).
% 7.15/5.86 tff(34227,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s256))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34228,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s256) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s256))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 7.15/5.86 tff(34229,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34228, 30054, 34222, 30252, 34221, 30703])).
% 7.15/5.86 tff(34230,plain,((~trans(s299, s256)) | until2p29(s256) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34231,plain,
% 7.15/5.86 (~trans(s299, s256)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34230, 30522, 30043])).
% 7.15/5.86 tff(34232,assumption,(~until2p29(s230)), introduced(assumption)).
% 7.15/5.86 tff(34233,assumption,(trans(s299, s230)), introduced(assumption)).
% 7.15/5.86 tff(34234,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34235,plain,
% 7.15/5.86 (((~trans(s299, s230)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s230)) <=> (until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34236,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34235])).
% 7.15/5.86 tff(34237,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34236, 34234])).
% 7.15/5.86 tff(34238,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s230))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34239,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s230) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s230))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 7.15/5.86 tff(34240,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34239, 30054, 34233, 30252, 34232, 30703])).
% 7.15/5.86 tff(34241,plain,((~trans(s299, s230)) | until2p29(s230) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34242,plain,
% 7.15/5.86 (~trans(s299, s230)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34241, 30794, 30043])).
% 7.15/5.86 tff(34243,assumption,(~until2p29(s261)), introduced(assumption)).
% 7.15/5.86 tff(34244,assumption,(trans(s299, s261)), introduced(assumption)).
% 7.15/5.86 tff(34245,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34246,plain,
% 7.15/5.86 (((~trans(s299, s261)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s261)) <=> (until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34247,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34246])).
% 7.15/5.86 tff(34248,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34247, 34245])).
% 7.15/5.86 tff(34249,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s261))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34250,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s261) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s261))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 7.15/5.86 tff(34251,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34250, 30054, 34244, 30252, 34243, 30703])).
% 7.15/5.86 tff(34252,plain,((~trans(s299, s261)) | until2p29(s261) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34253,plain,
% 7.15/5.86 (~trans(s299, s261)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34252, 30472, 30043])).
% 7.15/5.86 tff(34254,assumption,(~until2p29(s102)), introduced(assumption)).
% 7.15/5.86 tff(34255,assumption,(trans(s299, s102)), introduced(assumption)).
% 7.15/5.86 tff(34256,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34257,plain,
% 7.15/5.86 (((~trans(s299, s102)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s102)) <=> (until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34258,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34257])).
% 7.15/5.86 tff(34259,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34258, 34256])).
% 7.15/5.86 tff(34260,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s102))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34261,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s102))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 7.15/5.86 tff(34262,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34261, 30054, 34255, 30252, 34254, 30703])).
% 7.15/5.86 tff(34263,plain,((~trans(s299, s102)) | until2p29(s102) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34264,plain,
% 7.15/5.86 (~trans(s299, s102)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34263, 32096, 30043])).
% 7.15/5.86 tff(34265,assumption,(~until2p29(s173)), introduced(assumption)).
% 7.15/5.86 tff(34266,assumption,(trans(s299, s173)), introduced(assumption)).
% 7.15/5.86 tff(34267,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34268,plain,
% 7.15/5.86 (((~trans(s299, s173)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s173)) <=> (until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34269,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34268])).
% 7.15/5.86 tff(34270,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34269, 34267])).
% 7.15/5.86 tff(34271,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s173))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34272,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s173))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34271, 34270])).
% 7.15/5.86 tff(34273,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34272, 30054, 34266, 30252, 34265, 30703])).
% 7.15/5.86 tff(34274,plain,((~trans(s299, s173)) | until2p29(s173) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34275,plain,
% 7.15/5.86 (~trans(s299, s173)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34274, 31375, 30043])).
% 7.15/5.86 tff(34276,assumption,(~until2p29(s75)), introduced(assumption)).
% 7.15/5.86 tff(34277,assumption,(trans(s299, s75)), introduced(assumption)).
% 7.15/5.86 tff(34278,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34279,plain,
% 7.15/5.86 (((~trans(s299, s75)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s75)) <=> (until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34280,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34279])).
% 7.15/5.86 tff(34281,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34280, 34278])).
% 7.15/5.86 tff(34282,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s75))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34283,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s75))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34282, 34281])).
% 7.15/5.86 tff(34284,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34283, 30054, 34277, 30252, 34276, 30703])).
% 7.15/5.86 tff(34285,plain,((~trans(s299, s75)) | until2p29(s75) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34286,plain,
% 7.15/5.86 (~trans(s299, s75)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34285, 32388, 30043])).
% 7.15/5.86 tff(34287,assumption,(~until2p29(s201)), introduced(assumption)).
% 7.15/5.86 tff(34288,assumption,(trans(s299, s201)), introduced(assumption)).
% 7.15/5.86 tff(34289,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34290,plain,
% 7.15/5.86 (((~trans(s299, s201)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s201)) <=> (until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34291,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201))))),
% 7.15/5.86 inference(monotonicity,[status(thm)],[34290])).
% 7.15/5.86 tff(34292,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201)))),
% 7.15/5.86 inference(transitivity,[status(thm)],[34291, 34289])).
% 7.15/5.86 tff(34293,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s201))),
% 7.15/5.86 inference(quant_inst,[status(thm)],[])).
% 7.15/5.86 tff(34294,plain,
% 7.15/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s201))),
% 7.15/5.86 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 7.15/5.86 tff(34295,plain,
% 7.15/5.86 ($false),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34294, 30054, 34288, 30252, 34287, 30703])).
% 7.15/5.86 tff(34296,plain,((~trans(s299, s201)) | until2p29(s201) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.86 tff(34297,plain,
% 7.15/5.86 (~trans(s299, s201)),
% 7.15/5.86 inference(unit_resolution,[status(thm)],[34296, 31084, 30043])).
% 7.15/5.86 tff(34298,assumption,(~until2p29(s98)), introduced(assumption)).
% 7.15/5.86 tff(34299,assumption,(trans(s299, s98)), introduced(assumption)).
% 7.15/5.86 tff(34300,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34301,plain,
% 7.15/5.86 (((~trans(s299, s98)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s98)) <=> (until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98)))),
% 7.15/5.86 inference(rewrite,[status(thm)],[])).
% 7.15/5.86 tff(34302,plain,
% 7.15/5.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34301])).
% 7.15/5.87 tff(34303,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34302, 34300])).
% 7.15/5.87 tff(34304,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s98))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34305,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s98))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34304, 34303])).
% 7.15/5.87 tff(34306,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34305, 30054, 34299, 30252, 34298, 30703])).
% 7.15/5.87 tff(34307,plain,((~trans(s299, s98)) | until2p29(s98) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34308,plain,
% 7.15/5.87 (~trans(s299, s98)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34307, 32136, 30043])).
% 7.15/5.87 tff(34309,assumption,(~until2p29(s293)), introduced(assumption)).
% 7.15/5.87 tff(34310,assumption,(trans(s299, s293)), introduced(assumption)).
% 7.15/5.87 tff(34311,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34312,plain,
% 7.15/5.87 (((~trans(s299, s293)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s293)) <=> (until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34313,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34312])).
% 7.15/5.87 tff(34314,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34313, 34311])).
% 7.15/5.87 tff(34315,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s293))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34316,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s293) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s293))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 7.15/5.87 tff(34317,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34316, 30054, 34310, 30252, 34309, 30703])).
% 7.15/5.87 tff(34318,plain,((~trans(s299, s293)) | until2p29(s293) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34319,plain,
% 7.15/5.87 (~trans(s299, s293)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34318, 30142, 30043])).
% 7.15/5.87 tff(34320,assumption,(~until2p29(s194)), introduced(assumption)).
% 7.15/5.87 tff(34321,assumption,(trans(s299, s194)), introduced(assumption)).
% 7.15/5.87 tff(34322,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34323,plain,
% 7.15/5.87 (((~trans(s299, s194)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s194)) <=> (until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34324,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34323])).
% 7.15/5.87 tff(34325,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34324, 34322])).
% 7.15/5.87 tff(34326,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s194))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34327,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s194))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 7.15/5.87 tff(34328,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34327, 30054, 34321, 30252, 34320, 30703])).
% 7.15/5.87 tff(34329,plain,((~trans(s299, s194)) | until2p29(s194) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34330,plain,
% 7.15/5.87 (~trans(s299, s194)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34329, 31154, 30043])).
% 7.15/5.87 tff(34331,assumption,(~until2p29(s196)), introduced(assumption)).
% 7.15/5.87 tff(34332,assumption,(trans(s299, s196)), introduced(assumption)).
% 7.15/5.87 tff(34333,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34334,plain,
% 7.15/5.87 (((~trans(s299, s196)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s196)) <=> (until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34335,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34334])).
% 7.15/5.87 tff(34336,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34335, 34333])).
% 7.15/5.87 tff(34337,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s196))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34338,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s196))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34337, 34336])).
% 7.15/5.87 tff(34339,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34338, 30054, 34332, 30252, 34331, 30703])).
% 7.15/5.87 tff(34340,plain,((~trans(s299, s196)) | until2p29(s196) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34341,plain,
% 7.15/5.87 (~trans(s299, s196)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34340, 31134, 30043])).
% 7.15/5.87 tff(34342,assumption,(~until2p29(s270)), introduced(assumption)).
% 7.15/5.87 tff(34343,assumption,(trans(s299, s270)), introduced(assumption)).
% 7.15/5.87 tff(34344,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34345,plain,
% 7.15/5.87 (((~trans(s299, s270)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s270)) <=> (until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34346,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34345])).
% 7.15/5.87 tff(34347,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34346, 34344])).
% 7.15/5.87 tff(34348,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s270))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34349,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s270) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s270))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34348, 34347])).
% 7.15/5.87 tff(34350,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34349, 30054, 34343, 30252, 34342, 30703])).
% 7.15/5.87 tff(34351,plain,((~trans(s299, s270)) | until2p29(s270) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34352,plain,
% 7.15/5.87 (~trans(s299, s270)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34351, 30382, 30043])).
% 7.15/5.87 tff(34353,assumption,(~until2p29(s154)), introduced(assumption)).
% 7.15/5.87 tff(34354,assumption,(trans(s299, s154)), introduced(assumption)).
% 7.15/5.87 tff(34355,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34356,plain,
% 7.15/5.87 (((~trans(s299, s154)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s154)) <=> (until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34357,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34356])).
% 7.15/5.87 tff(34358,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34357, 34355])).
% 7.15/5.87 tff(34359,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s154))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34360,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s154))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 7.15/5.87 tff(34361,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34360, 30054, 34354, 30252, 34353, 30703])).
% 7.15/5.87 tff(34362,plain,((~trans(s299, s154)) | until2p29(s154) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34363,plain,
% 7.15/5.87 (~trans(s299, s154)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34362, 31565, 30043])).
% 7.15/5.87 tff(34364,assumption,(~until2p29(s246)), introduced(assumption)).
% 7.15/5.87 tff(34365,assumption,(trans(s299, s246)), introduced(assumption)).
% 7.15/5.87 tff(34366,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34367,plain,
% 7.15/5.87 (((~trans(s299, s246)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s246)) <=> (until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34368,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34367])).
% 7.15/5.87 tff(34369,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34368, 34366])).
% 7.15/5.87 tff(34370,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s246))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34371,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s246) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s246))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34370, 34369])).
% 7.15/5.87 tff(34372,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34371, 30054, 34365, 30252, 34364, 30703])).
% 7.15/5.87 tff(34373,plain,((~trans(s299, s246)) | until2p29(s246) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34374,plain,
% 7.15/5.87 (~trans(s299, s246)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34373, 30622, 30043])).
% 7.15/5.87 tff(34375,assumption,(~until2p29(s111)), introduced(assumption)).
% 7.15/5.87 tff(34376,assumption,(trans(s299, s111)), introduced(assumption)).
% 7.15/5.87 tff(34377,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34378,plain,
% 7.15/5.87 (((~trans(s299, s111)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s111)) <=> (until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34379,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34378])).
% 7.15/5.87 tff(34380,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34379, 34377])).
% 7.15/5.87 tff(34381,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s111))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34382,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s111))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 7.15/5.87 tff(34383,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34382, 30054, 34376, 30252, 34375, 30703])).
% 7.15/5.87 tff(34384,plain,((~trans(s299, s111)) | until2p29(s111) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34385,plain,
% 7.15/5.87 (~trans(s299, s111)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34384, 32006, 30043])).
% 7.15/5.87 tff(34386,assumption,(~until2p29(s220)), introduced(assumption)).
% 7.15/5.87 tff(34387,assumption,(trans(s299, s220)), introduced(assumption)).
% 7.15/5.87 tff(34388,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34389,plain,
% 7.15/5.87 (((~trans(s299, s220)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s220)) <=> (until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34390,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34389])).
% 7.15/5.87 tff(34391,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34390, 34388])).
% 7.15/5.87 tff(34392,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s220))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34393,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s220) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s220))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34392, 34391])).
% 7.15/5.87 tff(34394,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34393, 30054, 34387, 30252, 34386, 30703])).
% 7.15/5.87 tff(34395,plain,((~trans(s299, s220)) | until2p29(s220) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34396,plain,
% 7.15/5.87 (~trans(s299, s220)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34395, 30894, 30043])).
% 7.15/5.87 tff(34397,assumption,(~until2p29(s163)), introduced(assumption)).
% 7.15/5.87 tff(34398,assumption,(trans(s299, s163)), introduced(assumption)).
% 7.15/5.87 tff(34399,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34400,plain,
% 7.15/5.87 (((~trans(s299, s163)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s163)) <=> (until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34401,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34400])).
% 7.15/5.87 tff(34402,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34401, 34399])).
% 7.15/5.87 tff(34403,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s163))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34404,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s163))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 7.15/5.87 tff(34405,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34404, 30054, 34398, 30252, 34397, 30703])).
% 7.15/5.87 tff(34406,plain,((~trans(s299, s163)) | until2p29(s163) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34407,plain,
% 7.15/5.87 (~trans(s299, s163)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34406, 31475, 30043])).
% 7.15/5.87 tff(34408,assumption,(~until2p29(s290)), introduced(assumption)).
% 7.15/5.87 tff(34409,assumption,(trans(s299, s290)), introduced(assumption)).
% 7.15/5.87 tff(34410,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34411,plain,
% 7.15/5.87 (((~trans(s299, s290)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s290)) <=> (until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34412,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34411])).
% 7.15/5.87 tff(34413,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34412, 34410])).
% 7.15/5.87 tff(34414,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s290))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34415,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s290) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s290))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 7.15/5.87 tff(34416,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34415, 30054, 34409, 30252, 34408, 30703])).
% 7.15/5.87 tff(34417,plain,((~trans(s299, s290)) | until2p29(s290) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34418,plain,
% 7.15/5.87 (~trans(s299, s290)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34417, 30172, 30043])).
% 7.15/5.87 tff(34419,assumption,(~until2p29(s29)), introduced(assumption)).
% 7.15/5.87 tff(34420,assumption,(trans(s299, s29)), introduced(assumption)).
% 7.15/5.87 tff(34421,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34422,plain,
% 7.15/5.87 (((~trans(s299, s29)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s29)) <=> (until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34423,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29))))),
% 7.15/5.87 inference(monotonicity,[status(thm)],[34422])).
% 7.15/5.87 tff(34424,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29)))),
% 7.15/5.87 inference(transitivity,[status(thm)],[34423, 34421])).
% 7.15/5.87 tff(34425,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s29))),
% 7.15/5.87 inference(quant_inst,[status(thm)],[])).
% 7.15/5.87 tff(34426,plain,
% 7.15/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s29))),
% 7.15/5.87 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 7.15/5.87 tff(34427,plain,
% 7.15/5.87 ($false),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34426, 30054, 34420, 30252, 34419, 30703])).
% 7.15/5.87 tff(34428,plain,((~trans(s299, s29)) | until2p29(s29) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.87 tff(34429,plain,
% 7.15/5.87 (~trans(s299, s29)),
% 7.15/5.87 inference(unit_resolution,[status(thm)],[34428, 32859, 30043])).
% 7.15/5.87 tff(34430,assumption,(~until2p29(s286)), introduced(assumption)).
% 7.15/5.87 tff(34431,assumption,(trans(s299, s286)), introduced(assumption)).
% 7.15/5.87 tff(34432,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34433,plain,
% 7.15/5.87 (((~trans(s299, s286)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s286)) <=> (until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286)))),
% 7.15/5.87 inference(rewrite,[status(thm)],[])).
% 7.15/5.87 tff(34434,plain,
% 7.15/5.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34433])).
% 7.15/5.88 tff(34435,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34434, 34432])).
% 7.15/5.88 tff(34436,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s286))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34437,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s286) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s286))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 7.15/5.88 tff(34438,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34437, 30054, 34431, 30252, 34430, 30703])).
% 7.15/5.88 tff(34439,plain,((~trans(s299, s286)) | until2p29(s286) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34440,plain,
% 7.15/5.88 (~trans(s299, s286)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34439, 30212, 30043])).
% 7.15/5.88 tff(34441,assumption,(~until2p29(s35)), introduced(assumption)).
% 7.15/5.88 tff(34442,assumption,(trans(s299, s35)), introduced(assumption)).
% 7.15/5.88 tff(34443,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34444,plain,
% 7.15/5.88 (((~trans(s299, s35)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s35)) <=> (until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34445,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34444])).
% 7.15/5.88 tff(34446,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34445, 34443])).
% 7.15/5.88 tff(34447,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s35))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34448,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s35))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34447, 34446])).
% 7.15/5.88 tff(34449,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34448, 30054, 34442, 30252, 34441, 30703])).
% 7.15/5.88 tff(34450,plain,((~trans(s299, s35)) | until2p29(s35) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34451,plain,
% 7.15/5.88 (~trans(s299, s35)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34450, 32788, 30043])).
% 7.15/5.88 tff(34452,assumption,(~until2p29(s132)), introduced(assumption)).
% 7.15/5.88 tff(34453,assumption,(trans(s299, s132)), introduced(assumption)).
% 7.15/5.88 tff(34454,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34455,plain,
% 7.15/5.88 (((~trans(s299, s132)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s132)) <=> (until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34456,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34455])).
% 7.15/5.88 tff(34457,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34456, 34454])).
% 7.15/5.88 tff(34458,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s132))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34459,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s132))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 7.15/5.88 tff(34460,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34459, 30054, 34453, 30252, 34452, 30703])).
% 7.15/5.88 tff(34461,plain,((~trans(s299, s132)) | until2p29(s132) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34462,plain,
% 7.15/5.88 (~trans(s299, s132)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34461, 31796, 30043])).
% 7.15/5.88 tff(34463,assumption,(~until2p29(s162)), introduced(assumption)).
% 7.15/5.88 tff(34464,assumption,(trans(s299, s162)), introduced(assumption)).
% 7.15/5.88 tff(34465,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34466,plain,
% 7.15/5.88 (((~trans(s299, s162)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s162)) <=> (until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34467,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34466])).
% 7.15/5.88 tff(34468,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34467, 34465])).
% 7.15/5.88 tff(34469,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s162))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34470,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s162))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 7.15/5.88 tff(34471,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34470, 30054, 34464, 30252, 34463, 30703])).
% 7.15/5.88 tff(34472,plain,((~trans(s299, s162)) | until2p29(s162) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34473,plain,
% 7.15/5.88 (~trans(s299, s162)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34472, 31485, 30043])).
% 7.15/5.88 tff(34474,assumption,(~until2p29(s126)), introduced(assumption)).
% 7.15/5.88 tff(34475,assumption,(trans(s299, s126)), introduced(assumption)).
% 7.15/5.88 tff(34476,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34477,plain,
% 7.15/5.88 (((~trans(s299, s126)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s126)) <=> (until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34478,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34477])).
% 7.15/5.88 tff(34479,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34478, 34476])).
% 7.15/5.88 tff(34480,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s126))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34481,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s126))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34480, 34479])).
% 7.15/5.88 tff(34482,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34481, 30054, 34475, 30252, 34474, 30703])).
% 7.15/5.88 tff(34483,plain,((~trans(s299, s126)) | until2p29(s126) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34484,plain,
% 7.15/5.88 (~trans(s299, s126)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34483, 31856, 30043])).
% 7.15/5.88 tff(34485,assumption,(~until2p29(s228)), introduced(assumption)).
% 7.15/5.88 tff(34486,assumption,(trans(s299, s228)), introduced(assumption)).
% 7.15/5.88 tff(34487,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34488,plain,
% 7.15/5.88 (((~trans(s299, s228)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s228)) <=> (until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34489,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34488])).
% 7.15/5.88 tff(34490,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34489, 34487])).
% 7.15/5.88 tff(34491,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s228))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34492,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s228) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s228))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34491, 34490])).
% 7.15/5.88 tff(34493,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34492, 30054, 34486, 30252, 34485, 30703])).
% 7.15/5.88 tff(34494,plain,((~trans(s299, s228)) | until2p29(s228) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34495,plain,
% 7.15/5.88 (~trans(s299, s228)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34494, 30814, 30043])).
% 7.15/5.88 tff(34496,assumption,(~until2p29(s166)), introduced(assumption)).
% 7.15/5.88 tff(34497,assumption,(trans(s299, s166)), introduced(assumption)).
% 7.15/5.88 tff(34498,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34499,plain,
% 7.15/5.88 (((~trans(s299, s166)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s166)) <=> (until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34500,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34499])).
% 7.15/5.88 tff(34501,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34500, 34498])).
% 7.15/5.88 tff(34502,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s166))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34503,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s166))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34502, 34501])).
% 7.15/5.88 tff(34504,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34503, 30054, 34497, 30252, 34496, 30703])).
% 7.15/5.88 tff(34505,plain,((~trans(s299, s166)) | until2p29(s166) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34506,plain,
% 7.15/5.88 (~trans(s299, s166)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34505, 31445, 30043])).
% 7.15/5.88 tff(34507,assumption,(~until2p29(s11)), introduced(assumption)).
% 7.15/5.88 tff(34508,assumption,(trans(s299, s11)), introduced(assumption)).
% 7.15/5.88 tff(34509,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34510,plain,
% 7.15/5.88 (((~trans(s299, s11)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s11)) <=> (until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34511,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34510])).
% 7.15/5.88 tff(34512,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34511, 34509])).
% 7.15/5.88 tff(34513,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s11))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34514,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s11))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 7.15/5.88 tff(34515,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34514, 30054, 34508, 30252, 34507, 30703])).
% 7.15/5.88 tff(34516,plain,((~trans(s299, s11)) | until2p29(s11) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.15/5.88 tff(34517,plain,
% 7.15/5.88 (~trans(s299, s11)),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34516, 33039, 30043])).
% 7.15/5.88 tff(34518,assumption,(~until2p29(s144)), introduced(assumption)).
% 7.15/5.88 tff(34519,assumption,(trans(s299, s144)), introduced(assumption)).
% 7.15/5.88 tff(34520,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34521,plain,
% 7.15/5.88 (((~trans(s299, s144)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s144)) <=> (until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144)))),
% 7.15/5.88 inference(rewrite,[status(thm)],[])).
% 7.15/5.88 tff(34522,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144))))),
% 7.15/5.88 inference(monotonicity,[status(thm)],[34521])).
% 7.15/5.88 tff(34523,plain,
% 7.15/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144)))),
% 7.15/5.88 inference(transitivity,[status(thm)],[34522, 34520])).
% 7.15/5.88 tff(34524,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s144))),
% 7.15/5.88 inference(quant_inst,[status(thm)],[])).
% 7.15/5.88 tff(34525,plain,
% 7.15/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s144))),
% 7.15/5.88 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 7.15/5.88 tff(34526,plain,
% 7.15/5.88 ($false),
% 7.15/5.88 inference(unit_resolution,[status(thm)],[34525, 30054, 34519, 30252, 34518, 30703])).
% 7.25/5.88 tff(34527,plain,((~trans(s299, s144)) | until2p29(s144) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.88 tff(34528,plain,
% 7.25/5.88 (~trans(s299, s144)),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34527, 31676, 30043])).
% 7.25/5.88 tff(34529,assumption,(~until2p29(s140)), introduced(assumption)).
% 7.25/5.88 tff(34530,assumption,(trans(s299, s140)), introduced(assumption)).
% 7.25/5.88 tff(34531,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34532,plain,
% 7.25/5.88 (((~trans(s299, s140)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s140)) <=> (until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34533,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140))))),
% 7.25/5.88 inference(monotonicity,[status(thm)],[34532])).
% 7.25/5.88 tff(34534,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140)))),
% 7.25/5.88 inference(transitivity,[status(thm)],[34533, 34531])).
% 7.25/5.88 tff(34535,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s140))),
% 7.25/5.88 inference(quant_inst,[status(thm)],[])).
% 7.25/5.88 tff(34536,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s140))),
% 7.25/5.88 inference(modus_ponens,[status(thm)],[34535, 34534])).
% 7.25/5.88 tff(34537,plain,
% 7.25/5.88 ($false),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34536, 30054, 34530, 30252, 34529, 30703])).
% 7.25/5.88 tff(34538,plain,((~trans(s299, s140)) | until2p29(s140) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.88 tff(34539,plain,
% 7.25/5.88 (~trans(s299, s140)),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34538, 31716, 30043])).
% 7.25/5.88 tff(34540,assumption,(~until2p29(s25)), introduced(assumption)).
% 7.25/5.88 tff(34541,assumption,(trans(s299, s25)), introduced(assumption)).
% 7.25/5.88 tff(34542,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34543,plain,
% 7.25/5.88 (((~trans(s299, s25)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s25)) <=> (until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34544,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25))))),
% 7.25/5.88 inference(monotonicity,[status(thm)],[34543])).
% 7.25/5.88 tff(34545,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25)))),
% 7.25/5.88 inference(transitivity,[status(thm)],[34544, 34542])).
% 7.25/5.88 tff(34546,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s25))),
% 7.25/5.88 inference(quant_inst,[status(thm)],[])).
% 7.25/5.88 tff(34547,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s25))),
% 7.25/5.88 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 7.25/5.88 tff(34548,plain,
% 7.25/5.88 ($false),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34547, 30054, 34541, 30252, 34540, 30703])).
% 7.25/5.88 tff(34549,plain,((~trans(s299, s25)) | until2p29(s25) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.88 tff(34550,plain,
% 7.25/5.88 (~trans(s299, s25)),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34549, 32899, 30043])).
% 7.25/5.88 tff(34551,assumption,(~until2p29(s175)), introduced(assumption)).
% 7.25/5.88 tff(34552,assumption,(trans(s299, s175)), introduced(assumption)).
% 7.25/5.88 tff(34553,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34554,plain,
% 7.25/5.88 (((~trans(s299, s175)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s175)) <=> (until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34555,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175))))),
% 7.25/5.88 inference(monotonicity,[status(thm)],[34554])).
% 7.25/5.88 tff(34556,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175)))),
% 7.25/5.88 inference(transitivity,[status(thm)],[34555, 34553])).
% 7.25/5.88 tff(34557,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s175))),
% 7.25/5.88 inference(quant_inst,[status(thm)],[])).
% 7.25/5.88 tff(34558,plain,
% 7.25/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s175))),
% 7.25/5.88 inference(modus_ponens,[status(thm)],[34557, 34556])).
% 7.25/5.88 tff(34559,plain,
% 7.25/5.88 ($false),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34558, 30054, 34552, 30252, 34551, 30703])).
% 7.25/5.88 tff(34560,plain,((~trans(s299, s175)) | until2p29(s175) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.88 tff(34561,plain,
% 7.25/5.88 (~trans(s299, s175)),
% 7.25/5.88 inference(unit_resolution,[status(thm)],[34560, 31355, 30043])).
% 7.25/5.88 tff(34562,assumption,(~until2p29(s156)), introduced(assumption)).
% 7.25/5.88 tff(34563,assumption,(trans(s299, s156)), introduced(assumption)).
% 7.25/5.88 tff(34564,plain,
% 7.25/5.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34565,plain,
% 7.25/5.88 (((~trans(s299, s156)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s156)) <=> (until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156)))),
% 7.25/5.88 inference(rewrite,[status(thm)],[])).
% 7.25/5.88 tff(34566,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34565])).
% 7.25/5.89 tff(34567,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34566, 34564])).
% 7.25/5.89 tff(34568,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s156))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34569,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s156))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 7.25/5.89 tff(34570,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34569, 30054, 34563, 30252, 34562, 30703])).
% 7.25/5.89 tff(34571,plain,((~trans(s299, s156)) | until2p29(s156) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34572,plain,
% 7.25/5.89 (~trans(s299, s156)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34571, 31545, 30043])).
% 7.25/5.89 tff(34573,assumption,(~until2p29(s145)), introduced(assumption)).
% 7.25/5.89 tff(34574,assumption,(trans(s299, s145)), introduced(assumption)).
% 7.25/5.89 tff(34575,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34576,plain,
% 7.25/5.89 (((~trans(s299, s145)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s145)) <=> (until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34577,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34576])).
% 7.25/5.89 tff(34578,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34577, 34575])).
% 7.25/5.89 tff(34579,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s145))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34580,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s145))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 7.25/5.89 tff(34581,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34580, 30054, 34574, 30252, 34573, 30703])).
% 7.25/5.89 tff(34582,plain,((~trans(s299, s145)) | until2p29(s145) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34583,plain,
% 7.25/5.89 (~trans(s299, s145)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34582, 31666, 30043])).
% 7.25/5.89 tff(34584,assumption,(~until2p29(s242)), introduced(assumption)).
% 7.25/5.89 tff(34585,assumption,(trans(s299, s242)), introduced(assumption)).
% 7.25/5.89 tff(34586,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34587,plain,
% 7.25/5.89 (((~trans(s299, s242)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s242)) <=> (until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34588,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34587])).
% 7.25/5.89 tff(34589,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34588, 34586])).
% 7.25/5.89 tff(34590,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s242))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34591,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s242) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s242))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 7.25/5.89 tff(34592,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34591, 30054, 34585, 30252, 34584, 30703])).
% 7.25/5.89 tff(34593,plain,((~trans(s299, s242)) | until2p29(s242) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34594,plain,
% 7.25/5.89 (~trans(s299, s242)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34593, 30662, 30043])).
% 7.25/5.89 tff(34595,assumption,(~until2p29(s110)), introduced(assumption)).
% 7.25/5.89 tff(34596,assumption,(trans(s299, s110)), introduced(assumption)).
% 7.25/5.89 tff(34597,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34598,plain,
% 7.25/5.89 (((~trans(s299, s110)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s110)) <=> (until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34599,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34598])).
% 7.25/5.89 tff(34600,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34599, 34597])).
% 7.25/5.89 tff(34601,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s110))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34602,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s110))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 7.25/5.89 tff(34603,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34602, 30054, 34596, 30252, 34595, 30703])).
% 7.25/5.89 tff(34604,plain,((~trans(s299, s110)) | until2p29(s110) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34605,plain,
% 7.25/5.89 (~trans(s299, s110)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34604, 32016, 30043])).
% 7.25/5.89 tff(34606,assumption,(~until2p29(s202)), introduced(assumption)).
% 7.25/5.89 tff(34607,assumption,(trans(s299, s202)), introduced(assumption)).
% 7.25/5.89 tff(34608,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34609,plain,
% 7.25/5.89 (((~trans(s299, s202)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s202)) <=> (until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34610,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34609])).
% 7.25/5.89 tff(34611,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34610, 34608])).
% 7.25/5.89 tff(34612,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s202))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34613,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s202))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 7.25/5.89 tff(34614,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34613, 30054, 34607, 30252, 34606, 30703])).
% 7.25/5.89 tff(34615,plain,((~trans(s299, s202)) | until2p29(s202) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34616,plain,
% 7.25/5.89 (~trans(s299, s202)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34615, 31074, 30043])).
% 7.25/5.89 tff(34617,assumption,(~until2p29(s266)), introduced(assumption)).
% 7.25/5.89 tff(34618,assumption,(trans(s299, s266)), introduced(assumption)).
% 7.25/5.89 tff(34619,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34620,plain,
% 7.25/5.89 (((~trans(s299, s266)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s266)) <=> (until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34621,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34620])).
% 7.25/5.89 tff(34622,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34621, 34619])).
% 7.25/5.89 tff(34623,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s266))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34624,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s266) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s266))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 7.25/5.89 tff(34625,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34624, 30054, 34618, 30252, 34617, 30703])).
% 7.25/5.89 tff(34626,plain,((~trans(s299, s266)) | until2p29(s266) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34627,plain,
% 7.25/5.89 (~trans(s299, s266)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34626, 30422, 30043])).
% 7.25/5.89 tff(34628,assumption,(~until2p29(s39)), introduced(assumption)).
% 7.25/5.89 tff(34629,assumption,(trans(s299, s39)), introduced(assumption)).
% 7.25/5.89 tff(34630,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34631,plain,
% 7.25/5.89 (((~trans(s299, s39)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s39)) <=> (until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34632,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34631])).
% 7.25/5.89 tff(34633,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34632, 34630])).
% 7.25/5.89 tff(34634,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s39))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34635,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s39))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34634, 34633])).
% 7.25/5.89 tff(34636,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34635, 30054, 34629, 30252, 34628, 30703])).
% 7.25/5.89 tff(34637,plain,((~trans(s299, s39)) | until2p29(s39) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34638,plain,
% 7.25/5.89 (~trans(s299, s39)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34637, 32748, 30043])).
% 7.25/5.89 tff(34639,assumption,(~until2p29(s251)), introduced(assumption)).
% 7.25/5.89 tff(34640,assumption,(trans(s299, s251)), introduced(assumption)).
% 7.25/5.89 tff(34641,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34642,plain,
% 7.25/5.89 (((~trans(s299, s251)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s251)) <=> (until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34643,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34642])).
% 7.25/5.89 tff(34644,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34643, 34641])).
% 7.25/5.89 tff(34645,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s251))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34646,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s251) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s251))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34645, 34644])).
% 7.25/5.89 tff(34647,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34646, 30054, 34640, 30252, 34639, 30703])).
% 7.25/5.89 tff(34648,plain,((~trans(s299, s251)) | until2p29(s251) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34649,plain,
% 7.25/5.89 (~trans(s299, s251)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34648, 30572, 30043])).
% 7.25/5.89 tff(34650,assumption,(~until2p29(s48)), introduced(assumption)).
% 7.25/5.89 tff(34651,assumption,(trans(s299, s48)), introduced(assumption)).
% 7.25/5.89 tff(34652,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34653,plain,
% 7.25/5.89 (((~trans(s299, s48)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s48)) <=> (until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34654,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34653])).
% 7.25/5.89 tff(34655,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34654, 34652])).
% 7.25/5.89 tff(34656,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s48))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34657,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s48))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 7.25/5.89 tff(34658,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34657, 30054, 34651, 30252, 34650, 30703])).
% 7.25/5.89 tff(34659,plain,((~trans(s299, s48)) | until2p29(s48) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34660,plain,
% 7.25/5.89 (~trans(s299, s48)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34659, 32658, 30043])).
% 7.25/5.89 tff(34661,assumption,(~until2p29(s199)), introduced(assumption)).
% 7.25/5.89 tff(34662,assumption,(trans(s299, s199)), introduced(assumption)).
% 7.25/5.89 tff(34663,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34664,plain,
% 7.25/5.89 (((~trans(s299, s199)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s199)) <=> (until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34665,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34664])).
% 7.25/5.89 tff(34666,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34665, 34663])).
% 7.25/5.89 tff(34667,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s199))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34668,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s199))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34667, 34666])).
% 7.25/5.89 tff(34669,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34668, 30054, 34662, 30252, 34661, 30703])).
% 7.25/5.89 tff(34670,plain,((~trans(s299, s199)) | until2p29(s199) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34671,plain,
% 7.25/5.89 (~trans(s299, s199)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34670, 31104, 30043])).
% 7.25/5.89 tff(34672,assumption,(~until2p29(s151)), introduced(assumption)).
% 7.25/5.89 tff(34673,assumption,(trans(s299, s151)), introduced(assumption)).
% 7.25/5.89 tff(34674,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34675,plain,
% 7.25/5.89 (((~trans(s299, s151)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s151)) <=> (until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34676,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34675])).
% 7.25/5.89 tff(34677,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34676, 34674])).
% 7.25/5.89 tff(34678,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s151))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34679,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s151))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34678, 34677])).
% 7.25/5.89 tff(34680,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34679, 30054, 34673, 30252, 34672, 30703])).
% 7.25/5.89 tff(34681,plain,((~trans(s299, s151)) | until2p29(s151) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34682,plain,
% 7.25/5.89 (~trans(s299, s151)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34681, 31595, 30043])).
% 7.25/5.89 tff(34683,assumption,(~until2p29(s91)), introduced(assumption)).
% 7.25/5.89 tff(34684,assumption,(trans(s299, s91)), introduced(assumption)).
% 7.25/5.89 tff(34685,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34686,plain,
% 7.25/5.89 (((~trans(s299, s91)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s91)) <=> (until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34687,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34686])).
% 7.25/5.89 tff(34688,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91)))),
% 7.25/5.89 inference(transitivity,[status(thm)],[34687, 34685])).
% 7.25/5.89 tff(34689,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s91))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34690,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s91))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34689, 34688])).
% 7.25/5.89 tff(34691,plain,
% 7.25/5.89 ($false),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34690, 30054, 34684, 30252, 34683, 30703])).
% 7.25/5.89 tff(34692,plain,((~trans(s299, s91)) | until2p29(s91) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.25/5.89 tff(34693,plain,
% 7.25/5.89 (~trans(s299, s91)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34692, 32228, 30043])).
% 7.25/5.89 tff(34694,plain,
% 7.25/5.89 (((~![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)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34695,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34696,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34695, 34694])).
% 7.25/5.89 tff(34697,plain,
% 7.25/5.89 (until2p29(s4) | (~xuntil2p30(s3))),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34696, 580, 30083])).
% 7.25/5.89 tff(34698,plain,
% 7.25/5.89 (~xuntil2p30(s3)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34697, 33109])).
% 7.25/5.89 tff(34699,plain,
% 7.25/5.89 (((~![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)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34700,plain,
% 7.25/5.89 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34701,plain,
% 7.25/5.89 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34700, 34699])).
% 7.25/5.89 tff(34702,plain,
% 7.25/5.89 (xuntil2p30(s3) | (~until2p29(s3))),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34701, 30068, 26030])).
% 7.25/5.89 tff(34703,plain,
% 7.25/5.89 (~until2p29(s3)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34702, 34698])).
% 7.25/5.89 tff(34704,plain,
% 7.25/5.89 (((~![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)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34705,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34706,plain,
% 7.25/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34705, 34704])).
% 7.25/5.89 tff(34707,plain,
% 7.25/5.89 (until2p29(s3) | (~xuntil2p30(s2))),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34706, 460, 30083])).
% 7.25/5.89 tff(34708,plain,
% 7.25/5.89 (~xuntil2p30(s2)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34707, 34703])).
% 7.25/5.89 tff(34709,plain,
% 7.25/5.89 (((~![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)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34710,plain,
% 7.25/5.89 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 7.25/5.89 inference(quant_inst,[status(thm)],[])).
% 7.25/5.89 tff(34711,plain,
% 7.25/5.89 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2))),
% 7.25/5.89 inference(modus_ponens,[status(thm)],[34710, 34709])).
% 7.25/5.89 tff(34712,plain,
% 7.25/5.89 (xuntil2p30(s2) | (~until2p29(s2))),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34711, 30068, 25972])).
% 7.25/5.89 tff(34713,plain,
% 7.25/5.89 (~until2p29(s2)),
% 7.25/5.89 inference(unit_resolution,[status(thm)],[34712, 34708])).
% 7.25/5.89 tff(34714,assumption,(~until2p29(s2)), introduced(assumption)).
% 7.25/5.89 tff(34715,assumption,(trans(s299, s2)), introduced(assumption)).
% 7.25/5.89 tff(34716,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34717,plain,
% 7.25/5.89 (((~trans(s299, s2)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s2)) <=> (until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2)))),
% 7.25/5.89 inference(rewrite,[status(thm)],[])).
% 7.25/5.89 tff(34718,plain,
% 7.25/5.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2))))),
% 7.25/5.89 inference(monotonicity,[status(thm)],[34717])).
% 7.25/5.89 tff(34719,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34718, 34716])).
% 7.26/5.90 tff(34720,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s2))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34721,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s2))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 7.26/5.90 tff(34722,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34721, 30054, 34715, 30252, 34714, 30703])).
% 7.26/5.90 tff(34723,plain,((~trans(s299, s2)) | until2p29(s2) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34724,plain,
% 7.26/5.90 (~trans(s299, s2)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34723, 34713, 30043])).
% 7.26/5.90 tff(34725,assumption,(~until2p29(s125)), introduced(assumption)).
% 7.26/5.90 tff(34726,assumption,(trans(s299, s125)), introduced(assumption)).
% 7.26/5.90 tff(34727,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34728,plain,
% 7.26/5.90 (((~trans(s299, s125)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s125)) <=> (until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34729,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34728])).
% 7.26/5.90 tff(34730,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34729, 34727])).
% 7.26/5.90 tff(34731,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s125))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34732,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s125))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 7.26/5.90 tff(34733,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34732, 30054, 34726, 30252, 34725, 30703])).
% 7.26/5.90 tff(34734,plain,((~trans(s299, s125)) | until2p29(s125) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34735,plain,
% 7.26/5.90 (~trans(s299, s125)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34734, 31866, 30043])).
% 7.26/5.90 tff(34736,assumption,(~until2p29(s215)), introduced(assumption)).
% 7.26/5.90 tff(34737,assumption,(trans(s299, s215)), introduced(assumption)).
% 7.26/5.90 tff(34738,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34739,plain,
% 7.26/5.90 (((~trans(s299, s215)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s215)) <=> (until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34740,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34739])).
% 7.26/5.90 tff(34741,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34740, 34738])).
% 7.26/5.90 tff(34742,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s215))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34743,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s215) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s215))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34742, 34741])).
% 7.26/5.90 tff(34744,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34743, 30054, 34737, 30252, 34736, 30703])).
% 7.26/5.90 tff(34745,plain,((~trans(s299, s215)) | until2p29(s215) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34746,plain,
% 7.26/5.90 (~trans(s299, s215)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34745, 30944, 30043])).
% 7.26/5.90 tff(34747,assumption,(~until2p29(s191)), introduced(assumption)).
% 7.26/5.90 tff(34748,assumption,(trans(s299, s191)), introduced(assumption)).
% 7.26/5.90 tff(34749,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34750,plain,
% 7.26/5.90 (((~trans(s299, s191)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s191)) <=> (until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34751,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34750])).
% 7.26/5.90 tff(34752,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34751, 34749])).
% 7.26/5.90 tff(34753,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s191))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34754,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s191))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34753, 34752])).
% 7.26/5.90 tff(34755,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34754, 30054, 34748, 30252, 34747, 30703])).
% 7.26/5.90 tff(34756,plain,((~trans(s299, s191)) | until2p29(s191) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34757,plain,
% 7.26/5.90 (~trans(s299, s191)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34756, 31184, 30043])).
% 7.26/5.90 tff(34758,assumption,(~until2p29(s205)), introduced(assumption)).
% 7.26/5.90 tff(34759,assumption,(trans(s299, s205)), introduced(assumption)).
% 7.26/5.90 tff(34760,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34761,plain,
% 7.26/5.90 (((~trans(s299, s205)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s205)) <=> (until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34762,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34761])).
% 7.26/5.90 tff(34763,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34762, 34760])).
% 7.26/5.90 tff(34764,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s205))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34765,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s205) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s205))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 7.26/5.90 tff(34766,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34765, 30054, 34759, 30252, 34758, 30703])).
% 7.26/5.90 tff(34767,plain,((~trans(s299, s205)) | until2p29(s205) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34768,plain,
% 7.26/5.90 (~trans(s299, s205)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34767, 31044, 30043])).
% 7.26/5.90 tff(34769,assumption,(~until2p29(s69)), introduced(assumption)).
% 7.26/5.90 tff(34770,assumption,(trans(s299, s69)), introduced(assumption)).
% 7.26/5.90 tff(34771,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34772,plain,
% 7.26/5.90 (((~trans(s299, s69)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s69)) <=> (until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34773,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34772])).
% 7.26/5.90 tff(34774,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34773, 34771])).
% 7.26/5.90 tff(34775,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s69))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34776,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s69))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 7.26/5.90 tff(34777,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34776, 30054, 34770, 30252, 34769, 30703])).
% 7.26/5.90 tff(34778,plain,((~trans(s299, s69)) | until2p29(s69) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34779,plain,
% 7.26/5.90 (~trans(s299, s69)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34778, 32448, 30043])).
% 7.26/5.90 tff(34780,assumption,(~until2p29(s36)), introduced(assumption)).
% 7.26/5.90 tff(34781,assumption,(trans(s299, s36)), introduced(assumption)).
% 7.26/5.90 tff(34782,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34783,plain,
% 7.26/5.90 (((~trans(s299, s36)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s36)) <=> (until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34784,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34783])).
% 7.26/5.90 tff(34785,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34784, 34782])).
% 7.26/5.90 tff(34786,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s36))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34787,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s36))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 7.26/5.90 tff(34788,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34787, 30054, 34781, 30252, 34780, 30703])).
% 7.26/5.90 tff(34789,plain,((~trans(s299, s36)) | until2p29(s36) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34790,plain,
% 7.26/5.90 (~trans(s299, s36)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34789, 32778, 30043])).
% 7.26/5.90 tff(34791,assumption,(~until2p29(s63)), introduced(assumption)).
% 7.26/5.90 tff(34792,assumption,(trans(s299, s63)), introduced(assumption)).
% 7.26/5.90 tff(34793,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34794,plain,
% 7.26/5.90 (((~trans(s299, s63)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s63)) <=> (until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34795,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34794])).
% 7.26/5.90 tff(34796,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34795, 34793])).
% 7.26/5.90 tff(34797,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s63))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34798,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s63))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 7.26/5.90 tff(34799,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34798, 30054, 34792, 30252, 34791, 30703])).
% 7.26/5.90 tff(34800,plain,((~trans(s299, s63)) | until2p29(s63) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34801,plain,
% 7.26/5.90 (~trans(s299, s63)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34800, 32508, 30043])).
% 7.26/5.90 tff(34802,assumption,(~until2p29(s28)), introduced(assumption)).
% 7.26/5.90 tff(34803,assumption,(trans(s299, s28)), introduced(assumption)).
% 7.26/5.90 tff(34804,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34805,plain,
% 7.26/5.90 (((~trans(s299, s28)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s28)) <=> (until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34806,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34805])).
% 7.26/5.90 tff(34807,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34806, 34804])).
% 7.26/5.90 tff(34808,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s28))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34809,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s28))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34808, 34807])).
% 7.26/5.90 tff(34810,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34809, 30054, 34803, 30252, 34802, 30703])).
% 7.26/5.90 tff(34811,plain,((~trans(s299, s28)) | until2p29(s28) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34812,plain,
% 7.26/5.90 (~trans(s299, s28)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34811, 32869, 30043])).
% 7.26/5.90 tff(34813,plain,
% 7.26/5.90 (((~![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)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34814,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34815,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34814, 34813])).
% 7.26/5.90 tff(34816,plain,
% 7.26/5.90 (until2p29(s2) | (~xuntil2p30(s1))),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34815, 256, 30083])).
% 7.26/5.90 tff(34817,plain,
% 7.26/5.90 (~xuntil2p30(s1)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34816, 34713])).
% 7.26/5.90 tff(34818,plain,
% 7.26/5.90 (((~![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)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34819,plain,
% 7.26/5.90 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34820,plain,
% 7.26/5.90 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34819, 34818])).
% 7.26/5.90 tff(34821,plain,
% 7.26/5.90 (xuntil2p30(s1) | (~until2p29(s1))),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34820, 30068, 25981])).
% 7.26/5.90 tff(34822,plain,
% 7.26/5.90 (~until2p29(s1)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34821, 34817])).
% 7.26/5.90 tff(34823,assumption,(~until2p29(s1)), introduced(assumption)).
% 7.26/5.90 tff(34824,assumption,(trans(s299, s1)), introduced(assumption)).
% 7.26/5.90 tff(34825,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34826,plain,
% 7.26/5.90 (((~trans(s299, s1)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s1)) <=> (until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34827,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34826])).
% 7.26/5.90 tff(34828,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34827, 34825])).
% 7.26/5.90 tff(34829,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s1))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34830,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s1))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34829, 34828])).
% 7.26/5.90 tff(34831,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34830, 30054, 34824, 30252, 34823, 30703])).
% 7.26/5.90 tff(34832,plain,((~trans(s299, s1)) | until2p29(s1) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34833,plain,
% 7.26/5.90 (~trans(s299, s1)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34832, 34822, 30043])).
% 7.26/5.90 tff(34834,assumption,(~until2p29(s265)), introduced(assumption)).
% 7.26/5.90 tff(34835,assumption,(trans(s299, s265)), introduced(assumption)).
% 7.26/5.90 tff(34836,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34837,plain,
% 7.26/5.90 (((~trans(s299, s265)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s265)) <=> (until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34838,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34837])).
% 7.26/5.90 tff(34839,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34838, 34836])).
% 7.26/5.90 tff(34840,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s265))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.90 tff(34841,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s265) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s265))),
% 7.26/5.90 inference(modus_ponens,[status(thm)],[34840, 34839])).
% 7.26/5.90 tff(34842,plain,
% 7.26/5.90 ($false),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34841, 30054, 34835, 30252, 34834, 30703])).
% 7.26/5.90 tff(34843,plain,((~trans(s299, s265)) | until2p29(s265) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.90 tff(34844,plain,
% 7.26/5.90 (~trans(s299, s265)),
% 7.26/5.90 inference(unit_resolution,[status(thm)],[34843, 30432, 30043])).
% 7.26/5.90 tff(34845,assumption,(~until2p29(s216)), introduced(assumption)).
% 7.26/5.90 tff(34846,assumption,(trans(s299, s216)), introduced(assumption)).
% 7.26/5.90 tff(34847,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34848,plain,
% 7.26/5.90 (((~trans(s299, s216)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s216)) <=> (until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216)))),
% 7.26/5.90 inference(rewrite,[status(thm)],[])).
% 7.26/5.90 tff(34849,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216))))),
% 7.26/5.90 inference(monotonicity,[status(thm)],[34848])).
% 7.26/5.90 tff(34850,plain,
% 7.26/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216)))),
% 7.26/5.90 inference(transitivity,[status(thm)],[34849, 34847])).
% 7.26/5.90 tff(34851,plain,
% 7.26/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s216))),
% 7.26/5.90 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34852,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s216) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s216))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 7.26/5.91 tff(34853,plain,
% 7.26/5.91 ($false),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34852, 30054, 34846, 30252, 34845, 30703])).
% 7.26/5.91 tff(34854,plain,((~trans(s299, s216)) | until2p29(s216) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.91 tff(34855,plain,
% 7.26/5.91 (~trans(s299, s216)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34854, 30934, 30043])).
% 7.26/5.91 tff(34856,assumption,(~until2p29(s33)), introduced(assumption)).
% 7.26/5.91 tff(34857,assumption,(trans(s299, s33)), introduced(assumption)).
% 7.26/5.91 tff(34858,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34859,plain,
% 7.26/5.91 (((~trans(s299, s33)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s33)) <=> (until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34860,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33))))),
% 7.26/5.91 inference(monotonicity,[status(thm)],[34859])).
% 7.26/5.91 tff(34861,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33)))),
% 7.26/5.91 inference(transitivity,[status(thm)],[34860, 34858])).
% 7.26/5.91 tff(34862,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s33))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34863,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s33))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34862, 34861])).
% 7.26/5.91 tff(34864,plain,
% 7.26/5.91 ($false),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34863, 30054, 34857, 30252, 34856, 30703])).
% 7.26/5.91 tff(34865,plain,((~trans(s299, s33)) | until2p29(s33) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.91 tff(34866,plain,
% 7.26/5.91 (~trans(s299, s33)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34865, 32808, 30043])).
% 7.26/5.91 tff(34867,assumption,(~until2p29(s208)), introduced(assumption)).
% 7.26/5.91 tff(34868,assumption,(trans(s299, s208)), introduced(assumption)).
% 7.26/5.91 tff(34869,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34870,plain,
% 7.26/5.91 (((~trans(s299, s208)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s208)) <=> (until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34871,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208))))),
% 7.26/5.91 inference(monotonicity,[status(thm)],[34870])).
% 7.26/5.91 tff(34872,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208)))),
% 7.26/5.91 inference(transitivity,[status(thm)],[34871, 34869])).
% 7.26/5.91 tff(34873,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s208))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34874,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s208) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s208))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34873, 34872])).
% 7.26/5.91 tff(34875,plain,
% 7.26/5.91 ($false),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34874, 30054, 34868, 30252, 34867, 30703])).
% 7.26/5.91 tff(34876,plain,((~trans(s299, s208)) | until2p29(s208) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.91 tff(34877,plain,
% 7.26/5.91 (~trans(s299, s208)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34876, 31014, 30043])).
% 7.26/5.91 tff(34878,assumption,(~until2p29(s122)), introduced(assumption)).
% 7.26/5.91 tff(34879,assumption,(trans(s299, s122)), introduced(assumption)).
% 7.26/5.91 tff(34880,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34881,plain,
% 7.26/5.91 (((~trans(s299, s122)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s122)) <=> (until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34882,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122))))),
% 7.26/5.91 inference(monotonicity,[status(thm)],[34881])).
% 7.26/5.91 tff(34883,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122)))),
% 7.26/5.91 inference(transitivity,[status(thm)],[34882, 34880])).
% 7.26/5.91 tff(34884,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s122))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34885,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s122))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34884, 34883])).
% 7.26/5.91 tff(34886,plain,
% 7.26/5.91 ($false),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34885, 30054, 34879, 30252, 34878, 30703])).
% 7.26/5.91 tff(34887,plain,((~trans(s299, s122)) | until2p29(s122) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.26/5.91 tff(34888,plain,
% 7.26/5.91 (~trans(s299, s122)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34887, 31896, 30043])).
% 7.26/5.91 tff(34889,plain,
% 7.26/5.91 (((~![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)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34890,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34891,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34890, 34889])).
% 7.26/5.91 tff(34892,plain,
% 7.26/5.91 (until2p29(s1) | (~xuntil2p30(s0))),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34891, 60, 30083])).
% 7.26/5.91 tff(34893,plain,
% 7.26/5.91 (~xuntil2p30(s0)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34892, 34822])).
% 7.26/5.91 tff(34894,plain,
% 7.26/5.91 (((~![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)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34895,plain,
% 7.26/5.91 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34896,plain,
% 7.26/5.91 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 7.26/5.91 tff(34897,plain,
% 7.26/5.91 (xuntil2p30(s0) | (~until2p29(s0))),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34896, 30068, 25985])).
% 7.26/5.91 tff(34898,plain,
% 7.26/5.91 (~until2p29(s0)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34897, 34893])).
% 7.26/5.91 tff(34899,assumption,(~until2p29(s0)), introduced(assumption)).
% 7.26/5.91 tff(34900,assumption,(trans(s299, s0)), introduced(assumption)).
% 7.26/5.91 tff(34901,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34902,plain,
% 7.26/5.91 (((~trans(s299, s0)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0)) <=> ((~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0)))),
% 7.26/5.91 inference(rewrite,[status(thm)],[])).
% 7.26/5.91 tff(34903,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0))))),
% 7.26/5.91 inference(monotonicity,[status(thm)],[34902])).
% 7.26/5.91 tff(34904,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0)))),
% 7.26/5.91 inference(transitivity,[status(thm)],[34903, 34901])).
% 7.26/5.91 tff(34905,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0))),
% 7.26/5.91 inference(quant_inst,[status(thm)],[])).
% 7.26/5.91 tff(34906,plain,
% 7.26/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s0) | (~trans(s299, s0))),
% 7.26/5.91 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 7.26/5.91 tff(34907,plain,
% 7.26/5.91 ($false),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34906, 30054, 34900, 30252, 30703, 34899])).
% 7.26/5.91 tff(34908,plain,((~trans(s299, s0)) | (~xuntil28(s299)) | until2p29(s0)), inference(lemma,lemma(discharge,[]))).
% 7.26/5.91 tff(34909,plain,
% 7.26/5.91 (~trans(s299, s0)),
% 7.26/5.91 inference(unit_resolution,[status(thm)],[34908, 34898, 30043])).
% 7.26/5.91 tff(34910,assumption,(~until2p29(s13)), introduced(assumption)).
% 7.26/5.91 tff(34911,assumption,(trans(s299, s13)), introduced(assumption)).
% 7.26/5.91 tff(34912,plain,
% 7.26/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34913,plain,
% 7.28/5.91 (((~trans(s299, s13)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s13)) <=> (until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34914,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34913])).
% 7.28/5.91 tff(34915,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34914, 34912])).
% 7.28/5.91 tff(34916,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s13))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34917,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s13))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34916, 34915])).
% 7.28/5.91 tff(34918,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34917, 30054, 34911, 30252, 34910, 30703])).
% 7.28/5.91 tff(34919,plain,((~trans(s299, s13)) | until2p29(s13) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34920,plain,
% 7.28/5.91 (~trans(s299, s13)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34919, 33019, 30043])).
% 7.28/5.91 tff(34921,assumption,(~until2p29(s81)), introduced(assumption)).
% 7.28/5.91 tff(34922,assumption,(trans(s299, s81)), introduced(assumption)).
% 7.28/5.91 tff(34923,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34924,plain,
% 7.28/5.91 (((~trans(s299, s81)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s81)) <=> (until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34925,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34924])).
% 7.28/5.91 tff(34926,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34925, 34923])).
% 7.28/5.91 tff(34927,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s81))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34928,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s81))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 7.28/5.91 tff(34929,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34928, 30054, 34922, 30252, 34921, 30703])).
% 7.28/5.91 tff(34930,plain,((~trans(s299, s81)) | until2p29(s81) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34931,plain,
% 7.28/5.91 (~trans(s299, s81)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34930, 32328, 30043])).
% 7.28/5.91 tff(34932,assumption,(~until2p29(s6)), introduced(assumption)).
% 7.28/5.91 tff(34933,assumption,(trans(s299, s6)), introduced(assumption)).
% 7.28/5.91 tff(34934,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34935,plain,
% 7.28/5.91 (((~trans(s299, s6)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s6)) <=> (until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34936,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34935])).
% 7.28/5.91 tff(34937,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34936, 34934])).
% 7.28/5.91 tff(34938,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s6))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34939,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s6))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34938, 34937])).
% 7.28/5.91 tff(34940,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34939, 30054, 34933, 30252, 34932, 30703])).
% 7.28/5.91 tff(34941,plain,((~trans(s299, s6)) | until2p29(s6) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34942,plain,
% 7.28/5.91 (~trans(s299, s6)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34941, 33089, 30043])).
% 7.28/5.91 tff(34943,assumption,(~until2p29(s197)), introduced(assumption)).
% 7.28/5.91 tff(34944,assumption,(trans(s299, s197)), introduced(assumption)).
% 7.28/5.91 tff(34945,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34946,plain,
% 7.28/5.91 (((~trans(s299, s197)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s197)) <=> (until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34947,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34946])).
% 7.28/5.91 tff(34948,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34947, 34945])).
% 7.28/5.91 tff(34949,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s197))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34950,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s197))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34949, 34948])).
% 7.28/5.91 tff(34951,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34950, 30054, 34944, 30252, 34943, 30703])).
% 7.28/5.91 tff(34952,plain,((~trans(s299, s197)) | until2p29(s197) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34953,plain,
% 7.28/5.91 (~trans(s299, s197)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34952, 31124, 30043])).
% 7.28/5.91 tff(34954,assumption,(~until2p29(s226)), introduced(assumption)).
% 7.28/5.91 tff(34955,assumption,(trans(s299, s226)), introduced(assumption)).
% 7.28/5.91 tff(34956,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34957,plain,
% 7.28/5.91 (((~trans(s299, s226)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s226)) <=> (until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34958,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34957])).
% 7.28/5.91 tff(34959,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34958, 34956])).
% 7.28/5.91 tff(34960,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s226))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34961,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s226) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s226))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34960, 34959])).
% 7.28/5.91 tff(34962,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34961, 30054, 34955, 30252, 34954, 30703])).
% 7.28/5.91 tff(34963,plain,((~trans(s299, s226)) | until2p29(s226) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34964,plain,
% 7.28/5.91 (~trans(s299, s226)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34963, 30834, 30043])).
% 7.28/5.91 tff(34965,assumption,(~until2p29(s46)), introduced(assumption)).
% 7.28/5.91 tff(34966,assumption,(trans(s299, s46)), introduced(assumption)).
% 7.28/5.91 tff(34967,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34968,plain,
% 7.28/5.91 (((~trans(s299, s46)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s46)) <=> (until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34969,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34968])).
% 7.28/5.91 tff(34970,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34969, 34967])).
% 7.28/5.91 tff(34971,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s46))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34972,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s46))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 7.28/5.91 tff(34973,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34972, 30054, 34966, 30252, 34965, 30703])).
% 7.28/5.91 tff(34974,plain,((~trans(s299, s46)) | until2p29(s46) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34975,plain,
% 7.28/5.91 (~trans(s299, s46)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34974, 32678, 30043])).
% 7.28/5.91 tff(34976,assumption,(~until2p29(s294)), introduced(assumption)).
% 7.28/5.91 tff(34977,assumption,(trans(s299, s294)), introduced(assumption)).
% 7.28/5.91 tff(34978,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34979,plain,
% 7.28/5.91 (((~trans(s299, s294)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s294)) <=> (until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294)))),
% 7.28/5.91 inference(rewrite,[status(thm)],[])).
% 7.28/5.91 tff(34980,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294))))),
% 7.28/5.91 inference(monotonicity,[status(thm)],[34979])).
% 7.28/5.91 tff(34981,plain,
% 7.28/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294)))),
% 7.28/5.91 inference(transitivity,[status(thm)],[34980, 34978])).
% 7.28/5.91 tff(34982,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s294))),
% 7.28/5.91 inference(quant_inst,[status(thm)],[])).
% 7.28/5.91 tff(34983,plain,
% 7.28/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s294) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s294))),
% 7.28/5.91 inference(modus_ponens,[status(thm)],[34982, 34981])).
% 7.28/5.91 tff(34984,plain,
% 7.28/5.91 ($false),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34983, 30054, 34977, 30252, 34976, 30703])).
% 7.28/5.91 tff(34985,plain,((~trans(s299, s294)) | until2p29(s294) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.91 tff(34986,plain,
% 7.28/5.91 (~trans(s299, s294)),
% 7.28/5.91 inference(unit_resolution,[status(thm)],[34985, 30132, 30043])).
% 7.28/5.91 tff(34987,assumption,(~until2p29(s234)), introduced(assumption)).
% 7.28/5.92 tff(34988,assumption,(trans(s299, s234)), introduced(assumption)).
% 7.28/5.92 tff(34989,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(34990,plain,
% 7.28/5.92 (((~trans(s299, s234)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s234)) <=> (until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(34991,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[34990])).
% 7.28/5.92 tff(34992,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[34991, 34989])).
% 7.28/5.92 tff(34993,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s234))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(34994,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s234) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s234))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 7.28/5.92 tff(34995,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[34994, 30054, 34988, 30252, 34987, 30703])).
% 7.28/5.92 tff(34996,plain,((~trans(s299, s234)) | until2p29(s234) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(34997,plain,
% 7.28/5.92 (~trans(s299, s234)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[34996, 30754, 30043])).
% 7.28/5.92 tff(34998,assumption,(~until2p29(s104)), introduced(assumption)).
% 7.28/5.92 tff(34999,assumption,(trans(s299, s104)), introduced(assumption)).
% 7.28/5.92 tff(35000,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35001,plain,
% 7.28/5.92 (((~trans(s299, s104)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s104)) <=> (until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35002,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35001])).
% 7.28/5.92 tff(35003,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35002, 35000])).
% 7.28/5.92 tff(35004,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s104))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35005,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s104))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35004, 35003])).
% 7.28/5.92 tff(35006,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35005, 30054, 34999, 30252, 34998, 30703])).
% 7.28/5.92 tff(35007,plain,((~trans(s299, s104)) | until2p29(s104) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35008,plain,
% 7.28/5.92 (~trans(s299, s104)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35007, 32076, 30043])).
% 7.28/5.92 tff(35009,assumption,(~until2p29(s218)), introduced(assumption)).
% 7.28/5.92 tff(35010,assumption,(trans(s299, s218)), introduced(assumption)).
% 7.28/5.92 tff(35011,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35012,plain,
% 7.28/5.92 (((~trans(s299, s218)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s218)) <=> (until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35013,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35012])).
% 7.28/5.92 tff(35014,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35013, 35011])).
% 7.28/5.92 tff(35015,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s218))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35016,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s218) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s218))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35015, 35014])).
% 7.28/5.92 tff(35017,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35016, 30054, 35010, 30252, 35009, 30703])).
% 7.28/5.92 tff(35018,plain,((~trans(s299, s218)) | until2p29(s218) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35019,plain,
% 7.28/5.92 (~trans(s299, s218)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35018, 30914, 30043])).
% 7.28/5.92 tff(35020,assumption,(~until2p29(s134)), introduced(assumption)).
% 7.28/5.92 tff(35021,assumption,(trans(s299, s134)), introduced(assumption)).
% 7.28/5.92 tff(35022,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35023,plain,
% 7.28/5.92 (((~trans(s299, s134)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s134)) <=> (until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35024,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35023])).
% 7.28/5.92 tff(35025,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35024, 35022])).
% 7.28/5.92 tff(35026,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s134))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35027,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s134))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35026, 35025])).
% 7.28/5.92 tff(35028,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35027, 30054, 35021, 30252, 35020, 30703])).
% 7.28/5.92 tff(35029,plain,((~trans(s299, s134)) | until2p29(s134) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35030,plain,
% 7.28/5.92 (~trans(s299, s134)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35029, 31776, 30043])).
% 7.28/5.92 tff(35031,assumption,(~until2p29(s184)), introduced(assumption)).
% 7.28/5.92 tff(35032,assumption,(trans(s299, s184)), introduced(assumption)).
% 7.28/5.92 tff(35033,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35034,plain,
% 7.28/5.92 (((~trans(s299, s184)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s184)) <=> (until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35035,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35034])).
% 7.28/5.92 tff(35036,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35035, 35033])).
% 7.28/5.92 tff(35037,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s184))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35038,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s184))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 7.28/5.92 tff(35039,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35038, 30054, 35032, 30252, 35031, 30703])).
% 7.28/5.92 tff(35040,plain,((~trans(s299, s184)) | until2p29(s184) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35041,plain,
% 7.28/5.92 (~trans(s299, s184)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35040, 31254, 30043])).
% 7.28/5.92 tff(35042,assumption,(~until2p29(s138)), introduced(assumption)).
% 7.28/5.92 tff(35043,assumption,(trans(s299, s138)), introduced(assumption)).
% 7.28/5.92 tff(35044,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35045,plain,
% 7.28/5.92 (((~trans(s299, s138)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s138)) <=> (until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35046,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35045])).
% 7.28/5.92 tff(35047,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35046, 35044])).
% 7.28/5.92 tff(35048,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s138))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35049,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s138))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35048, 35047])).
% 7.28/5.92 tff(35050,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35049, 30054, 35043, 30252, 35042, 30703])).
% 7.28/5.92 tff(35051,plain,((~trans(s299, s138)) | until2p29(s138) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35052,plain,
% 7.28/5.92 (~trans(s299, s138)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35051, 31736, 30043])).
% 7.28/5.92 tff(35053,assumption,(~until2p29(s42)), introduced(assumption)).
% 7.28/5.92 tff(35054,assumption,(trans(s299, s42)), introduced(assumption)).
% 7.28/5.92 tff(35055,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35056,plain,
% 7.28/5.92 (((~trans(s299, s42)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s42)) <=> (until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35057,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35056])).
% 7.28/5.92 tff(35058,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35057, 35055])).
% 7.28/5.92 tff(35059,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s42))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35060,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s42))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35059, 35058])).
% 7.28/5.92 tff(35061,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35060, 30054, 35054, 30252, 35053, 30703])).
% 7.28/5.92 tff(35062,plain,((~trans(s299, s42)) | until2p29(s42) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35063,plain,
% 7.28/5.92 (~trans(s299, s42)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35062, 32718, 30043])).
% 7.28/5.92 tff(35064,assumption,(~until2p29(s274)), introduced(assumption)).
% 7.28/5.92 tff(35065,assumption,(trans(s299, s274)), introduced(assumption)).
% 7.28/5.92 tff(35066,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35067,plain,
% 7.28/5.92 (((~trans(s299, s274)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s274)) <=> (until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35068,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35067])).
% 7.28/5.92 tff(35069,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35068, 35066])).
% 7.28/5.92 tff(35070,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s274))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35071,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s274) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s274))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35070, 35069])).
% 7.28/5.92 tff(35072,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35071, 30054, 35065, 30252, 35064, 30703])).
% 7.28/5.92 tff(35073,plain,((~trans(s299, s274)) | until2p29(s274) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35074,plain,
% 7.28/5.92 (~trans(s299, s274)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35073, 30342, 30043])).
% 7.28/5.92 tff(35075,assumption,(~until2p29(s165)), introduced(assumption)).
% 7.28/5.92 tff(35076,assumption,(trans(s299, s165)), introduced(assumption)).
% 7.28/5.92 tff(35077,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35078,plain,
% 7.28/5.92 (((~trans(s299, s165)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s165)) <=> (until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35079,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35078])).
% 7.28/5.92 tff(35080,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35079, 35077])).
% 7.28/5.92 tff(35081,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s165))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35082,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s165))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 7.28/5.92 tff(35083,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35082, 30054, 35076, 30252, 35075, 30703])).
% 7.28/5.92 tff(35084,plain,((~trans(s299, s165)) | until2p29(s165) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35085,plain,
% 7.28/5.92 (~trans(s299, s165)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35084, 31455, 30043])).
% 7.28/5.92 tff(35086,assumption,(~until2p29(s235)), introduced(assumption)).
% 7.28/5.92 tff(35087,assumption,(trans(s299, s235)), introduced(assumption)).
% 7.28/5.92 tff(35088,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35089,plain,
% 7.28/5.92 (((~trans(s299, s235)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s235)) <=> (until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35090,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35089])).
% 7.28/5.92 tff(35091,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35090, 35088])).
% 7.28/5.92 tff(35092,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s235))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35093,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s235) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s235))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35092, 35091])).
% 7.28/5.92 tff(35094,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35093, 30054, 35087, 30252, 35086, 30703])).
% 7.28/5.92 tff(35095,plain,((~trans(s299, s235)) | until2p29(s235) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35096,plain,
% 7.28/5.92 (~trans(s299, s235)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35095, 30744, 30043])).
% 7.28/5.92 tff(35097,assumption,(~until2p29(s54)), introduced(assumption)).
% 7.28/5.92 tff(35098,assumption,(trans(s299, s54)), introduced(assumption)).
% 7.28/5.92 tff(35099,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35100,plain,
% 7.28/5.92 (((~trans(s299, s54)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s54)) <=> (until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35101,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35100])).
% 7.28/5.92 tff(35102,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35101, 35099])).
% 7.28/5.92 tff(35103,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s54))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35104,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s54))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35103, 35102])).
% 7.28/5.92 tff(35105,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35104, 30054, 35098, 30252, 35097, 30703])).
% 7.28/5.92 tff(35106,plain,((~trans(s299, s54)) | until2p29(s54) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35107,plain,
% 7.28/5.92 (~trans(s299, s54)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35106, 32598, 30043])).
% 7.28/5.92 tff(35108,assumption,(~until2p29(s77)), introduced(assumption)).
% 7.28/5.92 tff(35109,assumption,(trans(s299, s77)), introduced(assumption)).
% 7.28/5.92 tff(35110,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35111,plain,
% 7.28/5.92 (((~trans(s299, s77)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s77)) <=> (until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77)))),
% 7.28/5.92 inference(rewrite,[status(thm)],[])).
% 7.28/5.92 tff(35112,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77))))),
% 7.28/5.92 inference(monotonicity,[status(thm)],[35111])).
% 7.28/5.92 tff(35113,plain,
% 7.28/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77)))),
% 7.28/5.92 inference(transitivity,[status(thm)],[35112, 35110])).
% 7.28/5.92 tff(35114,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s77))),
% 7.28/5.92 inference(quant_inst,[status(thm)],[])).
% 7.28/5.92 tff(35115,plain,
% 7.28/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s77))),
% 7.28/5.92 inference(modus_ponens,[status(thm)],[35114, 35113])).
% 7.28/5.92 tff(35116,plain,
% 7.28/5.92 ($false),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35115, 30054, 35109, 30252, 35108, 30703])).
% 7.28/5.92 tff(35117,plain,((~trans(s299, s77)) | until2p29(s77) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.92 tff(35118,plain,
% 7.28/5.92 (~trans(s299, s77)),
% 7.28/5.92 inference(unit_resolution,[status(thm)],[35117, 32368, 30043])).
% 7.28/5.93 tff(35119,assumption,(~until2p29(s56)), introduced(assumption)).
% 7.28/5.93 tff(35120,assumption,(trans(s299, s56)), introduced(assumption)).
% 7.28/5.93 tff(35121,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35122,plain,
% 7.28/5.93 (((~trans(s299, s56)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s56)) <=> (until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35123,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35122])).
% 7.28/5.93 tff(35124,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35123, 35121])).
% 7.28/5.93 tff(35125,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s56))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35126,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s56))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35125, 35124])).
% 7.28/5.93 tff(35127,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35126, 30054, 35120, 30252, 35119, 30703])).
% 7.28/5.93 tff(35128,plain,((~trans(s299, s56)) | until2p29(s56) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35129,plain,
% 7.28/5.93 (~trans(s299, s56)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35128, 32578, 30043])).
% 7.28/5.93 tff(35130,assumption,(~until2p29(s62)), introduced(assumption)).
% 7.28/5.93 tff(35131,assumption,(trans(s299, s62)), introduced(assumption)).
% 7.28/5.93 tff(35132,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35133,plain,
% 7.28/5.93 (((~trans(s299, s62)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s62)) <=> (until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35134,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35133])).
% 7.28/5.93 tff(35135,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35134, 35132])).
% 7.28/5.93 tff(35136,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s62))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35137,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s62))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35136, 35135])).
% 7.28/5.93 tff(35138,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35137, 30054, 35131, 30252, 35130, 30703])).
% 7.28/5.93 tff(35139,plain,((~trans(s299, s62)) | until2p29(s62) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35140,plain,
% 7.28/5.93 (~trans(s299, s62)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35139, 32518, 30043])).
% 7.28/5.93 tff(35141,assumption,(~until2p29(s52)), introduced(assumption)).
% 7.28/5.93 tff(35142,assumption,(trans(s299, s52)), introduced(assumption)).
% 7.28/5.93 tff(35143,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35144,plain,
% 7.28/5.93 (((~trans(s299, s52)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s52)) <=> (until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35145,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35144])).
% 7.28/5.93 tff(35146,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35145, 35143])).
% 7.28/5.93 tff(35147,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s52))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35148,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s52))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35147, 35146])).
% 7.28/5.93 tff(35149,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35148, 30054, 35142, 30252, 35141, 30703])).
% 7.28/5.93 tff(35150,plain,((~trans(s299, s52)) | until2p29(s52) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35151,plain,
% 7.28/5.93 (~trans(s299, s52)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35150, 32618, 30043])).
% 7.28/5.93 tff(35152,assumption,(~until2p29(s24)), introduced(assumption)).
% 7.28/5.93 tff(35153,assumption,(trans(s299, s24)), introduced(assumption)).
% 7.28/5.93 tff(35154,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35155,plain,
% 7.28/5.93 (((~trans(s299, s24)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s24)) <=> (until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35156,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35155])).
% 7.28/5.93 tff(35157,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35156, 35154])).
% 7.28/5.93 tff(35158,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s24))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35159,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s24))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 7.28/5.93 tff(35160,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35159, 30054, 35153, 30252, 35152, 30703])).
% 7.28/5.93 tff(35161,plain,((~trans(s299, s24)) | until2p29(s24) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35162,plain,
% 7.28/5.93 (~trans(s299, s24)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35161, 32909, 30043])).
% 7.28/5.93 tff(35163,assumption,(~until2p29(s61)), introduced(assumption)).
% 7.28/5.93 tff(35164,assumption,(trans(s299, s61)), introduced(assumption)).
% 7.28/5.93 tff(35165,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35166,plain,
% 7.28/5.93 (((~trans(s299, s61)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s61)) <=> (until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35167,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35166])).
% 7.28/5.93 tff(35168,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35167, 35165])).
% 7.28/5.93 tff(35169,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s61))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35170,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s61))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 7.28/5.93 tff(35171,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35170, 30054, 35164, 30252, 35163, 30703])).
% 7.28/5.93 tff(35172,plain,((~trans(s299, s61)) | until2p29(s61) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35173,plain,
% 7.28/5.93 (~trans(s299, s61)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35172, 32528, 30043])).
% 7.28/5.93 tff(35174,assumption,(~until2p29(s23)), introduced(assumption)).
% 7.28/5.93 tff(35175,assumption,(trans(s299, s23)), introduced(assumption)).
% 7.28/5.93 tff(35176,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35177,plain,
% 7.28/5.93 (((~trans(s299, s23)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s23)) <=> (until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35178,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35177])).
% 7.28/5.93 tff(35179,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35178, 35176])).
% 7.28/5.93 tff(35180,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s23))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35181,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s23))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35180, 35179])).
% 7.28/5.93 tff(35182,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35181, 30054, 35175, 30252, 35174, 30703])).
% 7.28/5.93 tff(35183,plain,((~trans(s299, s23)) | until2p29(s23) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35184,plain,
% 7.28/5.93 (~trans(s299, s23)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35183, 32919, 30043])).
% 7.28/5.93 tff(35185,assumption,(~until2p29(s229)), introduced(assumption)).
% 7.28/5.93 tff(35186,assumption,(trans(s299, s229)), introduced(assumption)).
% 7.28/5.93 tff(35187,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35188,plain,
% 7.28/5.93 (((~trans(s299, s229)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s229)) <=> (until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35189,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35188])).
% 7.28/5.93 tff(35190,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35189, 35187])).
% 7.28/5.93 tff(35191,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s229))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35192,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s229) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s229))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35191, 35190])).
% 7.28/5.93 tff(35193,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35192, 30054, 35186, 30252, 35185, 30703])).
% 7.28/5.93 tff(35194,plain,((~trans(s299, s229)) | until2p29(s229) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35195,plain,
% 7.28/5.93 (~trans(s299, s229)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35194, 30804, 30043])).
% 7.28/5.93 tff(35196,assumption,(~until2p29(s167)), introduced(assumption)).
% 7.28/5.93 tff(35197,assumption,(trans(s299, s167)), introduced(assumption)).
% 7.28/5.93 tff(35198,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35199,plain,
% 7.28/5.93 (((~trans(s299, s167)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s167)) <=> (until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35200,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35199])).
% 7.28/5.93 tff(35201,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35200, 35198])).
% 7.28/5.93 tff(35202,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s167))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35203,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s167))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35202, 35201])).
% 7.28/5.93 tff(35204,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35203, 30054, 35197, 30252, 35196, 30703])).
% 7.28/5.93 tff(35205,plain,((~trans(s299, s167)) | until2p29(s167) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35206,plain,
% 7.28/5.93 (~trans(s299, s167)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35205, 31435, 30043])).
% 7.28/5.93 tff(35207,assumption,(~until2p29(s241)), introduced(assumption)).
% 7.28/5.93 tff(35208,assumption,(trans(s299, s241)), introduced(assumption)).
% 7.28/5.93 tff(35209,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35210,plain,
% 7.28/5.93 (((~trans(s299, s241)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s241)) <=> (until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35211,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35210])).
% 7.28/5.93 tff(35212,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35211, 35209])).
% 7.28/5.93 tff(35213,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s241))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35214,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s241) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s241))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35213, 35212])).
% 7.28/5.93 tff(35215,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35214, 30054, 35208, 30252, 35207, 30703])).
% 7.28/5.93 tff(35216,plain,((~trans(s299, s241)) | until2p29(s241) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35217,plain,
% 7.28/5.93 (~trans(s299, s241)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35216, 30672, 30043])).
% 7.28/5.93 tff(35218,assumption,(~until2p29(s47)), introduced(assumption)).
% 7.28/5.93 tff(35219,assumption,(trans(s299, s47)), introduced(assumption)).
% 7.28/5.93 tff(35220,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35221,plain,
% 7.28/5.93 (((~trans(s299, s47)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s47)) <=> (until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35222,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35221])).
% 7.28/5.93 tff(35223,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35222, 35220])).
% 7.28/5.93 tff(35224,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s47))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35225,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s47))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35224, 35223])).
% 7.28/5.93 tff(35226,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35225, 30054, 35219, 30252, 35218, 30703])).
% 7.28/5.93 tff(35227,plain,((~trans(s299, s47)) | until2p29(s47) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35228,plain,
% 7.28/5.93 (~trans(s299, s47)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35227, 32668, 30043])).
% 7.28/5.93 tff(35229,assumption,(~until2p29(s119)), introduced(assumption)).
% 7.28/5.93 tff(35230,assumption,(trans(s299, s119)), introduced(assumption)).
% 7.28/5.93 tff(35231,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35232,plain,
% 7.28/5.93 (((~trans(s299, s119)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s119)) <=> (until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35233,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35232])).
% 7.28/5.93 tff(35234,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35233, 35231])).
% 7.28/5.93 tff(35235,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s119))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35236,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s119))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35235, 35234])).
% 7.28/5.93 tff(35237,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35236, 30054, 35230, 30252, 35229, 30703])).
% 7.28/5.93 tff(35238,plain,((~trans(s299, s119)) | until2p29(s119) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35239,plain,
% 7.28/5.93 (~trans(s299, s119)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35238, 31926, 30043])).
% 7.28/5.93 tff(35240,assumption,(~until2p29(s183)), introduced(assumption)).
% 7.28/5.93 tff(35241,assumption,(trans(s299, s183)), introduced(assumption)).
% 7.28/5.93 tff(35242,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35243,plain,
% 7.28/5.93 (((~trans(s299, s183)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s183)) <=> (until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183)))),
% 7.28/5.93 inference(rewrite,[status(thm)],[])).
% 7.28/5.93 tff(35244,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183))))),
% 7.28/5.93 inference(monotonicity,[status(thm)],[35243])).
% 7.28/5.93 tff(35245,plain,
% 7.28/5.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183)))),
% 7.28/5.93 inference(transitivity,[status(thm)],[35244, 35242])).
% 7.28/5.93 tff(35246,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s183))),
% 7.28/5.93 inference(quant_inst,[status(thm)],[])).
% 7.28/5.93 tff(35247,plain,
% 7.28/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s183))),
% 7.28/5.93 inference(modus_ponens,[status(thm)],[35246, 35245])).
% 7.28/5.93 tff(35248,plain,
% 7.28/5.93 ($false),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35247, 30054, 35241, 30252, 35240, 30703])).
% 7.28/5.93 tff(35249,plain,((~trans(s299, s183)) | until2p29(s183) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.93 tff(35250,plain,
% 7.28/5.93 (~trans(s299, s183)),
% 7.28/5.93 inference(unit_resolution,[status(thm)],[35249, 31264, 30043])).
% 7.28/5.93 tff(35251,assumption,(~until2p29(s67)), introduced(assumption)).
% 7.28/5.93 tff(35252,assumption,(trans(s299, s67)), introduced(assumption)).
% 7.28/5.94 tff(35253,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35254,plain,
% 7.28/5.94 (((~trans(s299, s67)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s67)) <=> (until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35255,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35254])).
% 7.28/5.94 tff(35256,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35255, 35253])).
% 7.28/5.94 tff(35257,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s67))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35258,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s67))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35257, 35256])).
% 7.28/5.94 tff(35259,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35258, 30054, 35252, 30252, 35251, 30703])).
% 7.28/5.94 tff(35260,plain,((~trans(s299, s67)) | until2p29(s67) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35261,plain,
% 7.28/5.94 (~trans(s299, s67)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35260, 32468, 30043])).
% 7.28/5.94 tff(35262,assumption,(~until2p29(s133)), introduced(assumption)).
% 7.28/5.94 tff(35263,assumption,(trans(s299, s133)), introduced(assumption)).
% 7.28/5.94 tff(35264,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35265,plain,
% 7.28/5.94 (((~trans(s299, s133)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s133)) <=> (until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35266,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35265])).
% 7.28/5.94 tff(35267,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35266, 35264])).
% 7.28/5.94 tff(35268,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s133))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35269,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s133))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35268, 35267])).
% 7.28/5.94 tff(35270,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35269, 30054, 35263, 30252, 35262, 30703])).
% 7.28/5.94 tff(35271,plain,((~trans(s299, s133)) | until2p29(s133) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35272,plain,
% 7.28/5.94 (~trans(s299, s133)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35271, 31786, 30043])).
% 7.28/5.94 tff(35273,assumption,(~until2p29(s37)), introduced(assumption)).
% 7.28/5.94 tff(35274,assumption,(trans(s299, s37)), introduced(assumption)).
% 7.28/5.94 tff(35275,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35276,plain,
% 7.28/5.94 (((~trans(s299, s37)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s37)) <=> (until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35277,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35276])).
% 7.28/5.94 tff(35278,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35277, 35275])).
% 7.28/5.94 tff(35279,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s37))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35280,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s37))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35279, 35278])).
% 7.28/5.94 tff(35281,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35280, 30054, 35274, 30252, 35273, 30703])).
% 7.28/5.94 tff(35282,plain,((~trans(s299, s37)) | until2p29(s37) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35283,plain,
% 7.28/5.94 (~trans(s299, s37)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35282, 32768, 30043])).
% 7.28/5.94 tff(35284,assumption,(~until2p29(s8)), introduced(assumption)).
% 7.28/5.94 tff(35285,assumption,(trans(s299, s8)), introduced(assumption)).
% 7.28/5.94 tff(35286,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35287,plain,
% 7.28/5.94 (((~trans(s299, s8)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s8)) <=> (until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35288,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35287])).
% 7.28/5.94 tff(35289,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35288, 35286])).
% 7.28/5.94 tff(35290,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s8))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35291,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s8))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35290, 35289])).
% 7.28/5.94 tff(35292,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35291, 30054, 35285, 30252, 35284, 30703])).
% 7.28/5.94 tff(35293,plain,((~trans(s299, s8)) | until2p29(s8) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35294,plain,
% 7.28/5.94 (~trans(s299, s8)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35293, 33069, 30043])).
% 7.28/5.94 tff(35295,assumption,(~until2p29(s225)), introduced(assumption)).
% 7.28/5.94 tff(35296,assumption,(trans(s299, s225)), introduced(assumption)).
% 7.28/5.94 tff(35297,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35298,plain,
% 7.28/5.94 (((~trans(s299, s225)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s225)) <=> (until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35299,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35298])).
% 7.28/5.94 tff(35300,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35299, 35297])).
% 7.28/5.94 tff(35301,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s225))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35302,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s225) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s225))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 7.28/5.94 tff(35303,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35302, 30054, 35296, 30252, 35295, 30703])).
% 7.28/5.94 tff(35304,plain,((~trans(s299, s225)) | until2p29(s225) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35305,plain,
% 7.28/5.94 (~trans(s299, s225)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35304, 30844, 30043])).
% 7.28/5.94 tff(35306,assumption,(~until2p29(s124)), introduced(assumption)).
% 7.28/5.94 tff(35307,assumption,(trans(s299, s124)), introduced(assumption)).
% 7.28/5.94 tff(35308,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35309,plain,
% 7.28/5.94 (((~trans(s299, s124)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s124)) <=> (until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35310,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35309])).
% 7.28/5.94 tff(35311,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35310, 35308])).
% 7.28/5.94 tff(35312,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s124))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35313,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s124))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 7.28/5.94 tff(35314,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35313, 30054, 35307, 30252, 35306, 30703])).
% 7.28/5.94 tff(35315,plain,((~trans(s299, s124)) | until2p29(s124) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35316,plain,
% 7.28/5.94 (~trans(s299, s124)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35315, 31876, 30043])).
% 7.28/5.94 tff(35317,assumption,(~until2p29(s106)), introduced(assumption)).
% 7.28/5.94 tff(35318,assumption,(trans(s299, s106)), introduced(assumption)).
% 7.28/5.94 tff(35319,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35320,plain,
% 7.28/5.94 (((~trans(s299, s106)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s106)) <=> (until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35321,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35320])).
% 7.28/5.94 tff(35322,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35321, 35319])).
% 7.28/5.94 tff(35323,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s106))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35324,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s106))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 7.28/5.94 tff(35325,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35324, 30054, 35318, 30252, 35317, 30703])).
% 7.28/5.94 tff(35326,plain,((~trans(s299, s106)) | until2p29(s106) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35327,plain,
% 7.28/5.94 (~trans(s299, s106)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35326, 32056, 30043])).
% 7.28/5.94 tff(35328,assumption,(~until2p29(s123)), introduced(assumption)).
% 7.28/5.94 tff(35329,assumption,(trans(s299, s123)), introduced(assumption)).
% 7.28/5.94 tff(35330,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35331,plain,
% 7.28/5.94 (((~trans(s299, s123)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s123)) <=> (until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35332,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35331])).
% 7.28/5.94 tff(35333,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35332, 35330])).
% 7.28/5.94 tff(35334,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s123))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35335,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s123))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35334, 35333])).
% 7.28/5.94 tff(35336,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35335, 30054, 35329, 30252, 35328, 30703])).
% 7.28/5.94 tff(35337,plain,((~trans(s299, s123)) | until2p29(s123) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35338,plain,
% 7.28/5.94 (~trans(s299, s123)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35337, 31886, 30043])).
% 7.28/5.94 tff(35339,assumption,(~until2p29(s289)), introduced(assumption)).
% 7.28/5.94 tff(35340,assumption,(trans(s299, s289)), introduced(assumption)).
% 7.28/5.94 tff(35341,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35342,plain,
% 7.28/5.94 (((~trans(s299, s289)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s289)) <=> (until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35343,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35342])).
% 7.28/5.94 tff(35344,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35343, 35341])).
% 7.28/5.94 tff(35345,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s289))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35346,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s289) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s289))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35345, 35344])).
% 7.28/5.94 tff(35347,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35346, 30054, 35340, 30252, 35339, 30703])).
% 7.28/5.94 tff(35348,plain,((~trans(s299, s289)) | until2p29(s289) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35349,plain,
% 7.28/5.94 (~trans(s299, s289)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35348, 30182, 30043])).
% 7.28/5.94 tff(35350,assumption,(~until2p29(s116)), introduced(assumption)).
% 7.28/5.94 tff(35351,assumption,(trans(s299, s116)), introduced(assumption)).
% 7.28/5.94 tff(35352,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35353,plain,
% 7.28/5.94 (((~trans(s299, s116)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s116)) <=> (until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35354,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35353])).
% 7.28/5.94 tff(35355,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35354, 35352])).
% 7.28/5.94 tff(35356,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s116))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35357,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s116))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35356, 35355])).
% 7.28/5.94 tff(35358,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35357, 30054, 35351, 30252, 35350, 30703])).
% 7.28/5.94 tff(35359,plain,((~trans(s299, s116)) | until2p29(s116) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35360,plain,
% 7.28/5.94 (~trans(s299, s116)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35359, 31956, 30043])).
% 7.28/5.94 tff(35361,assumption,(~until2p29(s296)), introduced(assumption)).
% 7.28/5.94 tff(35362,assumption,(trans(s299, s296)), introduced(assumption)).
% 7.28/5.94 tff(35363,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35364,plain,
% 7.28/5.94 (((~trans(s299, s296)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s296)) <=> (until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35365,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35364])).
% 7.28/5.94 tff(35366,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35365, 35363])).
% 7.28/5.94 tff(35367,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s296))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35368,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s296) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s296))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 7.28/5.94 tff(35369,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35368, 30054, 35362, 30252, 35361, 30703])).
% 7.28/5.94 tff(35370,plain,((~trans(s299, s296)) | until2p29(s296) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35371,plain,
% 7.28/5.94 (~trans(s299, s296)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35370, 30112, 30043])).
% 7.28/5.94 tff(35372,assumption,(~until2p29(s200)), introduced(assumption)).
% 7.28/5.94 tff(35373,assumption,(trans(s299, s200)), introduced(assumption)).
% 7.28/5.94 tff(35374,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35375,plain,
% 7.28/5.94 (((~trans(s299, s200)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s200)) <=> (until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200)))),
% 7.28/5.94 inference(rewrite,[status(thm)],[])).
% 7.28/5.94 tff(35376,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200))))),
% 7.28/5.94 inference(monotonicity,[status(thm)],[35375])).
% 7.28/5.94 tff(35377,plain,
% 7.28/5.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200)))),
% 7.28/5.94 inference(transitivity,[status(thm)],[35376, 35374])).
% 7.28/5.94 tff(35378,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s200))),
% 7.28/5.94 inference(quant_inst,[status(thm)],[])).
% 7.28/5.94 tff(35379,plain,
% 7.28/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s200))),
% 7.28/5.94 inference(modus_ponens,[status(thm)],[35378, 35377])).
% 7.28/5.94 tff(35380,plain,
% 7.28/5.94 ($false),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35379, 30054, 35373, 30252, 35372, 30703])).
% 7.28/5.94 tff(35381,plain,((~trans(s299, s200)) | until2p29(s200) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.94 tff(35382,plain,
% 7.28/5.94 (~trans(s299, s200)),
% 7.28/5.94 inference(unit_resolution,[status(thm)],[35381, 31094, 30043])).
% 7.28/5.94 tff(35383,assumption,(~until2p29(s278)), introduced(assumption)).
% 7.28/5.95 tff(35384,assumption,(trans(s299, s278)), introduced(assumption)).
% 7.28/5.95 tff(35385,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35386,plain,
% 7.28/5.95 (((~trans(s299, s278)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s278)) <=> (until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35387,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35386])).
% 7.28/5.95 tff(35388,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35387, 35385])).
% 7.28/5.95 tff(35389,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s278))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35390,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s278) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s278))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35389, 35388])).
% 7.28/5.95 tff(35391,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35390, 30054, 35384, 30252, 35383, 30703])).
% 7.28/5.95 tff(35392,plain,((~trans(s299, s278)) | until2p29(s278) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35393,plain,
% 7.28/5.95 (~trans(s299, s278)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35392, 30302, 30043])).
% 7.28/5.95 tff(35394,assumption,(~until2p29(s15)), introduced(assumption)).
% 7.28/5.95 tff(35395,assumption,(trans(s299, s15)), introduced(assumption)).
% 7.28/5.95 tff(35396,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35397,plain,
% 7.28/5.95 (((~trans(s299, s15)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s15)) <=> (until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35398,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35397])).
% 7.28/5.95 tff(35399,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35398, 35396])).
% 7.28/5.95 tff(35400,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s15))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35401,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s15))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35400, 35399])).
% 7.28/5.95 tff(35402,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35401, 30054, 35395, 30252, 35394, 30703])).
% 7.28/5.95 tff(35403,plain,((~trans(s299, s15)) | until2p29(s15) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35404,plain,
% 7.28/5.95 (~trans(s299, s15)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35403, 32999, 30043])).
% 7.28/5.95 tff(35405,assumption,(~until2p29(s128)), introduced(assumption)).
% 7.28/5.95 tff(35406,assumption,(trans(s299, s128)), introduced(assumption)).
% 7.28/5.95 tff(35407,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35408,plain,
% 7.28/5.95 (((~trans(s299, s128)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s128)) <=> (until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35409,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35408])).
% 7.28/5.95 tff(35410,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35409, 35407])).
% 7.28/5.95 tff(35411,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s128))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35412,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s128))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35411, 35410])).
% 7.28/5.95 tff(35413,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35412, 30054, 35406, 30252, 35405, 30703])).
% 7.28/5.95 tff(35414,plain,((~trans(s299, s128)) | until2p29(s128) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35415,plain,
% 7.28/5.95 (~trans(s299, s128)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35414, 31836, 30043])).
% 7.28/5.95 tff(35416,assumption,(~until2p29(s284)), introduced(assumption)).
% 7.28/5.95 tff(35417,assumption,(trans(s299, s284)), introduced(assumption)).
% 7.28/5.95 tff(35418,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35419,plain,
% 7.28/5.95 (((~trans(s299, s284)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s284)) <=> (until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35420,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35419])).
% 7.28/5.95 tff(35421,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35420, 35418])).
% 7.28/5.95 tff(35422,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s284))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35423,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s284) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s284))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35422, 35421])).
% 7.28/5.95 tff(35424,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35423, 30054, 35417, 30252, 35416, 30703])).
% 7.28/5.95 tff(35425,plain,((~trans(s299, s284)) | until2p29(s284) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35426,plain,
% 7.28/5.95 (~trans(s299, s284)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35425, 30232, 30043])).
% 7.28/5.95 tff(35427,assumption,(~until2p29(s192)), introduced(assumption)).
% 7.28/5.95 tff(35428,assumption,(trans(s299, s192)), introduced(assumption)).
% 7.28/5.95 tff(35429,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35430,plain,
% 7.28/5.95 (((~trans(s299, s192)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s192)) <=> (until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35431,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35430])).
% 7.28/5.95 tff(35432,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35431, 35429])).
% 7.28/5.95 tff(35433,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s192))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35434,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s192))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35433, 35432])).
% 7.28/5.95 tff(35435,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35434, 30054, 35428, 30252, 35427, 30703])).
% 7.28/5.95 tff(35436,plain,((~trans(s299, s192)) | until2p29(s192) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35437,plain,
% 7.28/5.95 (~trans(s299, s192)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35436, 31174, 30043])).
% 7.28/5.95 tff(35438,assumption,(~until2p29(s127)), introduced(assumption)).
% 7.28/5.95 tff(35439,assumption,(trans(s299, s127)), introduced(assumption)).
% 7.28/5.95 tff(35440,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35441,plain,
% 7.28/5.95 (((~trans(s299, s127)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s127)) <=> (until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35442,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35441])).
% 7.28/5.95 tff(35443,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35442, 35440])).
% 7.28/5.95 tff(35444,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s127))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35445,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s127))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35444, 35443])).
% 7.28/5.95 tff(35446,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35445, 30054, 35439, 30252, 35438, 30703])).
% 7.28/5.95 tff(35447,plain,((~trans(s299, s127)) | until2p29(s127) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35448,plain,
% 7.28/5.95 (~trans(s299, s127)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35447, 31846, 30043])).
% 7.28/5.95 tff(35449,assumption,(~until2p29(s243)), introduced(assumption)).
% 7.28/5.95 tff(35450,assumption,(trans(s299, s243)), introduced(assumption)).
% 7.28/5.95 tff(35451,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35452,plain,
% 7.28/5.95 (((~trans(s299, s243)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s243)) <=> (until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35453,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35452])).
% 7.28/5.95 tff(35454,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35453, 35451])).
% 7.28/5.95 tff(35455,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s243))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35456,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s243) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s243))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35455, 35454])).
% 7.28/5.95 tff(35457,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35456, 30054, 35450, 30252, 35449, 30703])).
% 7.28/5.95 tff(35458,plain,((~trans(s299, s243)) | until2p29(s243) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35459,plain,
% 7.28/5.95 (~trans(s299, s243)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35458, 30652, 30043])).
% 7.28/5.95 tff(35460,assumption,(~until2p29(s65)), introduced(assumption)).
% 7.28/5.95 tff(35461,assumption,(trans(s299, s65)), introduced(assumption)).
% 7.28/5.95 tff(35462,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35463,plain,
% 7.28/5.95 (((~trans(s299, s65)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s65)) <=> (until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35464,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35463])).
% 7.28/5.95 tff(35465,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35464, 35462])).
% 7.28/5.95 tff(35466,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s65))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35467,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s65))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35466, 35465])).
% 7.28/5.95 tff(35468,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35467, 30054, 35461, 30252, 35460, 30703])).
% 7.28/5.95 tff(35469,plain,((~trans(s299, s65)) | until2p29(s65) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35470,plain,
% 7.28/5.95 (~trans(s299, s65)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35469, 32488, 30043])).
% 7.28/5.95 tff(35471,assumption,(~until2p29(s89)), introduced(assumption)).
% 7.28/5.95 tff(35472,assumption,(trans(s299, s89)), introduced(assumption)).
% 7.28/5.95 tff(35473,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35474,plain,
% 7.28/5.95 (((~trans(s299, s89)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s89)) <=> (until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35475,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35474])).
% 7.28/5.95 tff(35476,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35475, 35473])).
% 7.28/5.95 tff(35477,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s89))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35478,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s89))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35477, 35476])).
% 7.28/5.95 tff(35479,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35478, 30054, 35472, 30252, 35471, 30703])).
% 7.28/5.95 tff(35480,plain,((~trans(s299, s89)) | until2p29(s89) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35481,plain,
% 7.28/5.95 (~trans(s299, s89)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35480, 32248, 30043])).
% 7.28/5.95 tff(35482,assumption,(~until2p29(s20)), introduced(assumption)).
% 7.28/5.95 tff(35483,assumption,(trans(s299, s20)), introduced(assumption)).
% 7.28/5.95 tff(35484,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35485,plain,
% 7.28/5.95 (((~trans(s299, s20)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s20)) <=> (until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35486,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35485])).
% 7.28/5.95 tff(35487,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35486, 35484])).
% 7.28/5.95 tff(35488,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s20))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35489,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s20))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35488, 35487])).
% 7.28/5.95 tff(35490,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35489, 30054, 35483, 30252, 35482, 30703])).
% 7.28/5.95 tff(35491,plain,((~trans(s299, s20)) | until2p29(s20) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35492,plain,
% 7.28/5.95 (~trans(s299, s20)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35491, 32949, 30043])).
% 7.28/5.95 tff(35493,assumption,(~until2p29(s137)), introduced(assumption)).
% 7.28/5.95 tff(35494,assumption,(trans(s299, s137)), introduced(assumption)).
% 7.28/5.95 tff(35495,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35496,plain,
% 7.28/5.95 (((~trans(s299, s137)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s137)) <=> (until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35497,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35496])).
% 7.28/5.95 tff(35498,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35497, 35495])).
% 7.28/5.95 tff(35499,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s137))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35500,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s137))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 7.28/5.95 tff(35501,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35500, 30054, 35494, 30252, 35493, 30703])).
% 7.28/5.95 tff(35502,plain,((~trans(s299, s137)) | until2p29(s137) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35503,plain,
% 7.28/5.95 (~trans(s299, s137)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35502, 31746, 30043])).
% 7.28/5.95 tff(35504,assumption,(~until2p29(s71)), introduced(assumption)).
% 7.28/5.95 tff(35505,assumption,(trans(s299, s71)), introduced(assumption)).
% 7.28/5.95 tff(35506,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35507,plain,
% 7.28/5.95 (((~trans(s299, s71)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s71)) <=> (until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71)))),
% 7.28/5.95 inference(rewrite,[status(thm)],[])).
% 7.28/5.95 tff(35508,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71))))),
% 7.28/5.95 inference(monotonicity,[status(thm)],[35507])).
% 7.28/5.95 tff(35509,plain,
% 7.28/5.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71)))),
% 7.28/5.95 inference(transitivity,[status(thm)],[35508, 35506])).
% 7.28/5.95 tff(35510,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s71))),
% 7.28/5.95 inference(quant_inst,[status(thm)],[])).
% 7.28/5.95 tff(35511,plain,
% 7.28/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s71))),
% 7.28/5.95 inference(modus_ponens,[status(thm)],[35510, 35509])).
% 7.28/5.95 tff(35512,plain,
% 7.28/5.95 ($false),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35511, 30054, 35505, 30252, 35504, 30703])).
% 7.28/5.95 tff(35513,plain,((~trans(s299, s71)) | until2p29(s71) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.95 tff(35514,plain,
% 7.28/5.95 (~trans(s299, s71)),
% 7.28/5.95 inference(unit_resolution,[status(thm)],[35513, 32428, 30043])).
% 7.28/5.95 tff(35515,assumption,(~until2p29(s41)), introduced(assumption)).
% 7.28/5.95 tff(35516,assumption,(trans(s299, s41)), introduced(assumption)).
% 7.28/5.96 tff(35517,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35518,plain,
% 7.28/5.96 (((~trans(s299, s41)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s41)) <=> (until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35519,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35518])).
% 7.28/5.96 tff(35520,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35519, 35517])).
% 7.28/5.96 tff(35521,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s41))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35522,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s41))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35521, 35520])).
% 7.28/5.96 tff(35523,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35522, 30054, 35516, 30252, 35515, 30703])).
% 7.28/5.96 tff(35524,plain,((~trans(s299, s41)) | until2p29(s41) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35525,plain,
% 7.28/5.96 (~trans(s299, s41)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35524, 32728, 30043])).
% 7.28/5.96 tff(35526,assumption,(~until2p29(s49)), introduced(assumption)).
% 7.28/5.96 tff(35527,assumption,(trans(s299, s49)), introduced(assumption)).
% 7.28/5.96 tff(35528,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35529,plain,
% 7.28/5.96 (((~trans(s299, s49)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s49)) <=> (until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35530,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35529])).
% 7.28/5.96 tff(35531,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35530, 35528])).
% 7.28/5.96 tff(35532,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s49))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35533,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s49))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35532, 35531])).
% 7.28/5.96 tff(35534,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35533, 30054, 35527, 30252, 35526, 30703])).
% 7.28/5.96 tff(35535,plain,((~trans(s299, s49)) | until2p29(s49) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35536,plain,
% 7.28/5.96 (~trans(s299, s49)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35535, 32648, 30043])).
% 7.28/5.96 tff(35537,assumption,(~until2p29(s159)), introduced(assumption)).
% 7.28/5.96 tff(35538,assumption,(trans(s299, s159)), introduced(assumption)).
% 7.28/5.96 tff(35539,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35540,plain,
% 7.28/5.96 (((~trans(s299, s159)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s159)) <=> (until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35541,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35540])).
% 7.28/5.96 tff(35542,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35541, 35539])).
% 7.28/5.96 tff(35543,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s159))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35544,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s159))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35543, 35542])).
% 7.28/5.96 tff(35545,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35544, 30054, 35538, 30252, 35537, 30703])).
% 7.28/5.96 tff(35546,plain,((~trans(s299, s159)) | until2p29(s159) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35547,plain,
% 7.28/5.96 (~trans(s299, s159)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35546, 31515, 30043])).
% 7.28/5.96 tff(35548,assumption,(~until2p29(s34)), introduced(assumption)).
% 7.28/5.96 tff(35549,assumption,(trans(s299, s34)), introduced(assumption)).
% 7.28/5.96 tff(35550,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35551,plain,
% 7.28/5.96 (((~trans(s299, s34)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s34)) <=> (until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35552,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35551])).
% 7.28/5.96 tff(35553,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35552, 35550])).
% 7.28/5.96 tff(35554,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s34))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35555,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s34))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35554, 35553])).
% 7.28/5.96 tff(35556,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35555, 30054, 35549, 30252, 35548, 30703])).
% 7.28/5.96 tff(35557,plain,((~trans(s299, s34)) | until2p29(s34) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35558,plain,
% 7.28/5.96 (~trans(s299, s34)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35557, 32798, 30043])).
% 7.28/5.96 tff(35559,assumption,(~until2p29(s9)), introduced(assumption)).
% 7.28/5.96 tff(35560,assumption,(trans(s299, s9)), introduced(assumption)).
% 7.28/5.96 tff(35561,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35562,plain,
% 7.28/5.96 (((~trans(s299, s9)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s9)) <=> (until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35563,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35562])).
% 7.28/5.96 tff(35564,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35563, 35561])).
% 7.28/5.96 tff(35565,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s9))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35566,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s9))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35565, 35564])).
% 7.28/5.96 tff(35567,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35566, 30054, 35560, 30252, 35559, 30703])).
% 7.28/5.96 tff(35568,plain,((~trans(s299, s9)) | until2p29(s9) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35569,plain,
% 7.28/5.96 (~trans(s299, s9)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35568, 33059, 30043])).
% 7.28/5.96 tff(35570,assumption,(~until2p29(s3)), introduced(assumption)).
% 7.28/5.96 tff(35571,assumption,(trans(s299, s3)), introduced(assumption)).
% 7.28/5.96 tff(35572,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35573,plain,
% 7.28/5.96 (((~trans(s299, s3)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s3)) <=> (until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35574,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35573])).
% 7.28/5.96 tff(35575,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35574, 35572])).
% 7.28/5.96 tff(35576,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s3))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35577,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s3))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35576, 35575])).
% 7.28/5.96 tff(35578,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35577, 30054, 35571, 30252, 35570, 30703])).
% 7.28/5.96 tff(35579,plain,((~trans(s299, s3)) | until2p29(s3) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35580,plain,
% 7.28/5.96 (~trans(s299, s3)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35579, 34703, 30043])).
% 7.28/5.96 tff(35581,assumption,(~until2p29(s157)), introduced(assumption)).
% 7.28/5.96 tff(35582,assumption,(trans(s299, s157)), introduced(assumption)).
% 7.28/5.96 tff(35583,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35584,plain,
% 7.28/5.96 (((~trans(s299, s157)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s157)) <=> (until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35585,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35584])).
% 7.28/5.96 tff(35586,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35585, 35583])).
% 7.28/5.96 tff(35587,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s157))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35588,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s157))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35587, 35586])).
% 7.28/5.96 tff(35589,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35588, 30054, 35582, 30252, 35581, 30703])).
% 7.28/5.96 tff(35590,plain,((~trans(s299, s157)) | until2p29(s157) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35591,plain,
% 7.28/5.96 (~trans(s299, s157)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35590, 31535, 30043])).
% 7.28/5.96 tff(35592,assumption,(~until2p29(s269)), introduced(assumption)).
% 7.28/5.96 tff(35593,assumption,(trans(s299, s269)), introduced(assumption)).
% 7.28/5.96 tff(35594,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35595,plain,
% 7.28/5.96 (((~trans(s299, s269)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s269)) <=> (until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35596,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35595])).
% 7.28/5.96 tff(35597,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35596, 35594])).
% 7.28/5.96 tff(35598,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s269))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35599,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s269) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s269))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35598, 35597])).
% 7.28/5.96 tff(35600,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35599, 30054, 35593, 30252, 35592, 30703])).
% 7.28/5.96 tff(35601,plain,((~trans(s299, s269)) | until2p29(s269) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35602,plain,
% 7.28/5.96 (~trans(s299, s269)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35601, 30392, 30043])).
% 7.28/5.96 tff(35603,assumption,(~until2p29(s213)), introduced(assumption)).
% 7.28/5.96 tff(35604,assumption,(trans(s299, s213)), introduced(assumption)).
% 7.28/5.96 tff(35605,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35606,plain,
% 7.28/5.96 (((~trans(s299, s213)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s213)) <=> (until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35607,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35606])).
% 7.28/5.96 tff(35608,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35607, 35605])).
% 7.28/5.96 tff(35609,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s213))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35610,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s213) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s213))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35609, 35608])).
% 7.28/5.96 tff(35611,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35610, 30054, 35604, 30252, 35603, 30703])).
% 7.28/5.96 tff(35612,plain,((~trans(s299, s213)) | until2p29(s213) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35613,plain,
% 7.28/5.96 (~trans(s299, s213)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35612, 30964, 30043])).
% 7.28/5.96 tff(35614,assumption,(~until2p29(s257)), introduced(assumption)).
% 7.28/5.96 tff(35615,assumption,(trans(s299, s257)), introduced(assumption)).
% 7.28/5.96 tff(35616,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35617,plain,
% 7.28/5.96 (((~trans(s299, s257)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s257)) <=> (until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35618,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35617])).
% 7.28/5.96 tff(35619,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35618, 35616])).
% 7.28/5.96 tff(35620,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s257))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35621,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s257) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s257))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35620, 35619])).
% 7.28/5.96 tff(35622,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35621, 30054, 35615, 30252, 35614, 30703])).
% 7.28/5.96 tff(35623,plain,((~trans(s299, s257)) | until2p29(s257) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35624,plain,
% 7.28/5.96 (~trans(s299, s257)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35623, 30512, 30043])).
% 7.28/5.96 tff(35625,assumption,(~until2p29(s94)), introduced(assumption)).
% 7.28/5.96 tff(35626,assumption,(trans(s299, s94)), introduced(assumption)).
% 7.28/5.96 tff(35627,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35628,plain,
% 7.28/5.96 (((~trans(s299, s94)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s94)) <=> (until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35629,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35628])).
% 7.28/5.96 tff(35630,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35629, 35627])).
% 7.28/5.96 tff(35631,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s94))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35632,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s94))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35631, 35630])).
% 7.28/5.96 tff(35633,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35632, 30054, 35626, 30252, 35625, 30703])).
% 7.28/5.96 tff(35634,plain,((~trans(s299, s94)) | until2p29(s94) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35635,plain,
% 7.28/5.96 (~trans(s299, s94)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35634, 32176, 30043])).
% 7.28/5.96 tff(35636,assumption,(~until2p29(s19)), introduced(assumption)).
% 7.28/5.96 tff(35637,assumption,(trans(s299, s19)), introduced(assumption)).
% 7.28/5.96 tff(35638,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35639,plain,
% 7.28/5.96 (((~trans(s299, s19)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s19)) <=> (until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19)))),
% 7.28/5.96 inference(rewrite,[status(thm)],[])).
% 7.28/5.96 tff(35640,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19))))),
% 7.28/5.96 inference(monotonicity,[status(thm)],[35639])).
% 7.28/5.96 tff(35641,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19)))),
% 7.28/5.96 inference(transitivity,[status(thm)],[35640, 35638])).
% 7.28/5.96 tff(35642,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s19))),
% 7.28/5.96 inference(quant_inst,[status(thm)],[])).
% 7.28/5.96 tff(35643,plain,
% 7.28/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s19))),
% 7.28/5.96 inference(modus_ponens,[status(thm)],[35642, 35641])).
% 7.28/5.96 tff(35644,plain,
% 7.28/5.96 ($false),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35643, 30054, 35637, 30252, 35636, 30703])).
% 7.28/5.96 tff(35645,plain,((~trans(s299, s19)) | until2p29(s19) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.96 tff(35646,plain,
% 7.28/5.96 (~trans(s299, s19)),
% 7.28/5.96 inference(unit_resolution,[status(thm)],[35645, 32959, 30043])).
% 7.28/5.96 tff(35647,assumption,(~until2p29(s17)), introduced(assumption)).
% 7.28/5.96 tff(35648,assumption,(trans(s299, s17)), introduced(assumption)).
% 7.28/5.96 tff(35649,plain,
% 7.28/5.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35650,plain,
% 7.28/5.97 (((~trans(s299, s17)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s17)) <=> (until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35651,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35650])).
% 7.28/5.97 tff(35652,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35651, 35649])).
% 7.28/5.97 tff(35653,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s17))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35654,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s17))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35653, 35652])).
% 7.28/5.97 tff(35655,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35654, 30054, 35648, 30252, 35647, 30703])).
% 7.28/5.97 tff(35656,plain,((~trans(s299, s17)) | until2p29(s17) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35657,plain,
% 7.28/5.97 (~trans(s299, s17)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35656, 32979, 30043])).
% 7.28/5.97 tff(35658,assumption,(~until2p29(s72)), introduced(assumption)).
% 7.28/5.97 tff(35659,assumption,(trans(s299, s72)), introduced(assumption)).
% 7.28/5.97 tff(35660,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35661,plain,
% 7.28/5.97 (((~trans(s299, s72)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s72)) <=> (until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35662,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35661])).
% 7.28/5.97 tff(35663,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35662, 35660])).
% 7.28/5.97 tff(35664,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s72))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35665,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s72))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35664, 35663])).
% 7.28/5.97 tff(35666,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35665, 30054, 35659, 30252, 35658, 30703])).
% 7.28/5.97 tff(35667,plain,((~trans(s299, s72)) | until2p29(s72) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35668,plain,
% 7.28/5.97 (~trans(s299, s72)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35667, 32418, 30043])).
% 7.28/5.97 tff(35669,assumption,(~until2p29(s73)), introduced(assumption)).
% 7.28/5.97 tff(35670,assumption,(trans(s299, s73)), introduced(assumption)).
% 7.28/5.97 tff(35671,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35672,plain,
% 7.28/5.97 (((~trans(s299, s73)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s73)) <=> (until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35673,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35672])).
% 7.28/5.97 tff(35674,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35673, 35671])).
% 7.28/5.97 tff(35675,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s73))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35676,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s73))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35675, 35674])).
% 7.28/5.97 tff(35677,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35676, 30054, 35670, 30252, 35669, 30703])).
% 7.28/5.97 tff(35678,plain,((~trans(s299, s73)) | until2p29(s73) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35679,plain,
% 7.28/5.97 (~trans(s299, s73)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35678, 32408, 30043])).
% 7.28/5.97 tff(35680,assumption,(~until2p29(s147)), introduced(assumption)).
% 7.28/5.97 tff(35681,assumption,(trans(s299, s147)), introduced(assumption)).
% 7.28/5.97 tff(35682,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35683,plain,
% 7.28/5.97 (((~trans(s299, s147)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s147)) <=> (until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35684,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35683])).
% 7.28/5.97 tff(35685,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35684, 35682])).
% 7.28/5.97 tff(35686,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s147))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35687,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s147))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35686, 35685])).
% 7.28/5.97 tff(35688,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35687, 30054, 35681, 30252, 35680, 30703])).
% 7.28/5.97 tff(35689,plain,((~trans(s299, s147)) | until2p29(s147) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35690,plain,
% 7.28/5.97 (~trans(s299, s147)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35689, 31646, 30043])).
% 7.28/5.97 tff(35691,assumption,(~until2p29(s105)), introduced(assumption)).
% 7.28/5.97 tff(35692,assumption,(trans(s299, s105)), introduced(assumption)).
% 7.28/5.97 tff(35693,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35694,plain,
% 7.28/5.97 (((~trans(s299, s105)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s105)) <=> (until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35695,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35694])).
% 7.28/5.97 tff(35696,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35695, 35693])).
% 7.28/5.97 tff(35697,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s105))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35698,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s105))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35697, 35696])).
% 7.28/5.97 tff(35699,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35698, 30054, 35692, 30252, 35691, 30703])).
% 7.28/5.97 tff(35700,plain,((~trans(s299, s105)) | until2p29(s105) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35701,plain,
% 7.28/5.97 (~trans(s299, s105)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35700, 32066, 30043])).
% 7.28/5.97 tff(35702,assumption,(~until2p29(s153)), introduced(assumption)).
% 7.28/5.97 tff(35703,assumption,(trans(s299, s153)), introduced(assumption)).
% 7.28/5.97 tff(35704,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35705,plain,
% 7.28/5.97 (((~trans(s299, s153)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s153)) <=> (until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35706,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35705])).
% 7.28/5.97 tff(35707,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35706, 35704])).
% 7.28/5.97 tff(35708,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s153))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35709,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s153))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35708, 35707])).
% 7.28/5.97 tff(35710,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35709, 30054, 35703, 30252, 35702, 30703])).
% 7.28/5.97 tff(35711,plain,((~trans(s299, s153)) | until2p29(s153) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35712,plain,
% 7.28/5.97 (~trans(s299, s153)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35711, 31575, 30043])).
% 7.28/5.97 tff(35713,assumption,(~until2p29(s224)), introduced(assumption)).
% 7.28/5.97 tff(35714,assumption,(trans(s299, s224)), introduced(assumption)).
% 7.28/5.97 tff(35715,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35716,plain,
% 7.28/5.97 (((~trans(s299, s224)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s224)) <=> (until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35717,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35716])).
% 7.28/5.97 tff(35718,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35717, 35715])).
% 7.28/5.97 tff(35719,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s224))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35720,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s224) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s224))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35719, 35718])).
% 7.28/5.97 tff(35721,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35720, 30054, 35714, 30252, 35713, 30703])).
% 7.28/5.97 tff(35722,plain,((~trans(s299, s224)) | until2p29(s224) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35723,plain,
% 7.28/5.97 (~trans(s299, s224)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35722, 30854, 30043])).
% 7.28/5.97 tff(35724,assumption,(~until2p29(s70)), introduced(assumption)).
% 7.28/5.97 tff(35725,assumption,(trans(s299, s70)), introduced(assumption)).
% 7.28/5.97 tff(35726,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35727,plain,
% 7.28/5.97 (((~trans(s299, s70)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s70)) <=> (until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35728,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35727])).
% 7.28/5.97 tff(35729,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35728, 35726])).
% 7.28/5.97 tff(35730,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s70))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35731,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s70))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35730, 35729])).
% 7.28/5.97 tff(35732,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35731, 30054, 35725, 30252, 35724, 30703])).
% 7.28/5.97 tff(35733,plain,((~trans(s299, s70)) | until2p29(s70) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35734,plain,
% 7.28/5.97 (~trans(s299, s70)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35733, 32438, 30043])).
% 7.28/5.97 tff(35735,assumption,(~until2p29(s185)), introduced(assumption)).
% 7.28/5.97 tff(35736,assumption,(trans(s299, s185)), introduced(assumption)).
% 7.28/5.97 tff(35737,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35738,plain,
% 7.28/5.97 (((~trans(s299, s185)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s185)) <=> (until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35739,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35738])).
% 7.28/5.97 tff(35740,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35739, 35737])).
% 7.28/5.97 tff(35741,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s185))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35742,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s185))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35741, 35740])).
% 7.28/5.97 tff(35743,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35742, 30054, 35736, 30252, 35735, 30703])).
% 7.28/5.97 tff(35744,plain,((~trans(s299, s185)) | until2p29(s185) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35745,plain,
% 7.28/5.97 (~trans(s299, s185)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35744, 31244, 30043])).
% 7.28/5.97 tff(35746,assumption,(~until2p29(s101)), introduced(assumption)).
% 7.28/5.97 tff(35747,assumption,(trans(s299, s101)), introduced(assumption)).
% 7.28/5.97 tff(35748,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35749,plain,
% 7.28/5.97 (((~trans(s299, s101)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s101)) <=> (until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35750,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35749])).
% 7.28/5.97 tff(35751,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35750, 35748])).
% 7.28/5.97 tff(35752,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s101))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35753,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s101))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 7.28/5.97 tff(35754,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35753, 30054, 35747, 30252, 35746, 30703])).
% 7.28/5.97 tff(35755,plain,((~trans(s299, s101)) | until2p29(s101) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35756,plain,
% 7.28/5.97 (~trans(s299, s101)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35755, 32106, 30043])).
% 7.28/5.97 tff(35757,assumption,(~until2p29(s253)), introduced(assumption)).
% 7.28/5.97 tff(35758,assumption,(trans(s299, s253)), introduced(assumption)).
% 7.28/5.97 tff(35759,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35760,plain,
% 7.28/5.97 (((~trans(s299, s253)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s253)) <=> (until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35761,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35760])).
% 7.28/5.97 tff(35762,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35761, 35759])).
% 7.28/5.97 tff(35763,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s253))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35764,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s253) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s253))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35763, 35762])).
% 7.28/5.97 tff(35765,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35764, 30054, 35758, 30252, 35757, 30703])).
% 7.28/5.97 tff(35766,plain,((~trans(s299, s253)) | until2p29(s253) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35767,plain,
% 7.28/5.97 (~trans(s299, s253)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35766, 30552, 30043])).
% 7.28/5.97 tff(35768,assumption,(~until2p29(s32)), introduced(assumption)).
% 7.28/5.97 tff(35769,assumption,(trans(s299, s32)), introduced(assumption)).
% 7.28/5.97 tff(35770,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35771,plain,
% 7.28/5.97 (((~trans(s299, s32)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s32)) <=> (until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35772,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35771])).
% 7.28/5.97 tff(35773,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35772, 35770])).
% 7.28/5.97 tff(35774,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s32))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35775,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s32))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35774, 35773])).
% 7.28/5.97 tff(35776,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35775, 30054, 35769, 30252, 35768, 30703])).
% 7.28/5.97 tff(35777,plain,((~trans(s299, s32)) | until2p29(s32) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35778,plain,
% 7.28/5.97 (~trans(s299, s32)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35777, 32818, 30043])).
% 7.28/5.97 tff(35779,assumption,(~until2p29(s135)), introduced(assumption)).
% 7.28/5.97 tff(35780,assumption,(trans(s299, s135)), introduced(assumption)).
% 7.28/5.97 tff(35781,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35782,plain,
% 7.28/5.97 (((~trans(s299, s135)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s135)) <=> (until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35783,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35782])).
% 7.28/5.97 tff(35784,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35783, 35781])).
% 7.28/5.97 tff(35785,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s135))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35786,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s135))),
% 7.28/5.97 inference(modus_ponens,[status(thm)],[35785, 35784])).
% 7.28/5.97 tff(35787,plain,
% 7.28/5.97 ($false),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35786, 30054, 35780, 30252, 35779, 30703])).
% 7.28/5.97 tff(35788,plain,((~trans(s299, s135)) | until2p29(s135) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.97 tff(35789,plain,
% 7.28/5.97 (~trans(s299, s135)),
% 7.28/5.97 inference(unit_resolution,[status(thm)],[35788, 31766, 30043])).
% 7.28/5.97 tff(35790,assumption,(~until2p29(s245)), introduced(assumption)).
% 7.28/5.97 tff(35791,assumption,(trans(s299, s245)), introduced(assumption)).
% 7.28/5.97 tff(35792,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35793,plain,
% 7.28/5.97 (((~trans(s299, s245)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s245)) <=> (until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245)))),
% 7.28/5.97 inference(rewrite,[status(thm)],[])).
% 7.28/5.97 tff(35794,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245))))),
% 7.28/5.97 inference(monotonicity,[status(thm)],[35793])).
% 7.28/5.97 tff(35795,plain,
% 7.28/5.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245)))),
% 7.28/5.97 inference(transitivity,[status(thm)],[35794, 35792])).
% 7.28/5.97 tff(35796,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s245))),
% 7.28/5.97 inference(quant_inst,[status(thm)],[])).
% 7.28/5.97 tff(35797,plain,
% 7.28/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s245) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s245))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 7.28/5.98 tff(35798,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35797, 30054, 35791, 30252, 35790, 30703])).
% 7.28/5.98 tff(35799,plain,((~trans(s299, s245)) | until2p29(s245) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35800,plain,
% 7.28/5.98 (~trans(s299, s245)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35799, 30632, 30043])).
% 7.28/5.98 tff(35801,assumption,(~until2p29(s193)), introduced(assumption)).
% 7.28/5.98 tff(35802,assumption,(trans(s299, s193)), introduced(assumption)).
% 7.28/5.98 tff(35803,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35804,plain,
% 7.28/5.98 (((~trans(s299, s193)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s193)) <=> (until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35805,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35804])).
% 7.28/5.98 tff(35806,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35805, 35803])).
% 7.28/5.98 tff(35807,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s193))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35808,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s193))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35807, 35806])).
% 7.28/5.98 tff(35809,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35808, 30054, 35802, 30252, 35801, 30703])).
% 7.28/5.98 tff(35810,plain,((~trans(s299, s193)) | until2p29(s193) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35811,plain,
% 7.28/5.98 (~trans(s299, s193)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35810, 31164, 30043])).
% 7.28/5.98 tff(35812,assumption,(~until2p29(s22)), introduced(assumption)).
% 7.28/5.98 tff(35813,assumption,(trans(s299, s22)), introduced(assumption)).
% 7.28/5.98 tff(35814,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35815,plain,
% 7.28/5.98 (((~trans(s299, s22)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s22)) <=> (until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35816,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35815])).
% 7.28/5.98 tff(35817,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35816, 35814])).
% 7.28/5.98 tff(35818,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s22))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35819,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s22))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35818, 35817])).
% 7.28/5.98 tff(35820,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35819, 30054, 35813, 30252, 35812, 30703])).
% 7.28/5.98 tff(35821,plain,((~trans(s299, s22)) | until2p29(s22) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35822,plain,
% 7.28/5.98 (~trans(s299, s22)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35821, 32929, 30043])).
% 7.28/5.98 tff(35823,assumption,(~until2p29(s275)), introduced(assumption)).
% 7.28/5.98 tff(35824,assumption,(trans(s299, s275)), introduced(assumption)).
% 7.28/5.98 tff(35825,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35826,plain,
% 7.28/5.98 (((~trans(s299, s275)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s275)) <=> (until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35827,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35826])).
% 7.28/5.98 tff(35828,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35827, 35825])).
% 7.28/5.98 tff(35829,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s275))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35830,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s275) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s275))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35829, 35828])).
% 7.28/5.98 tff(35831,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35830, 30054, 35824, 30252, 35823, 30703])).
% 7.28/5.98 tff(35832,plain,((~trans(s299, s275)) | until2p29(s275) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35833,plain,
% 7.28/5.98 (~trans(s299, s275)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35832, 30332, 30043])).
% 7.28/5.98 tff(35834,assumption,(~until2p29(s80)), introduced(assumption)).
% 7.28/5.98 tff(35835,assumption,(trans(s299, s80)), introduced(assumption)).
% 7.28/5.98 tff(35836,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35837,plain,
% 7.28/5.98 (((~trans(s299, s80)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s80)) <=> (until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35838,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35837])).
% 7.28/5.98 tff(35839,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35838, 35836])).
% 7.28/5.98 tff(35840,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s80))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35841,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s80))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35840, 35839])).
% 7.28/5.98 tff(35842,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35841, 30054, 35835, 30252, 35834, 30703])).
% 7.28/5.98 tff(35843,plain,((~trans(s299, s80)) | until2p29(s80) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35844,plain,
% 7.28/5.98 (~trans(s299, s80)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35843, 32338, 30043])).
% 7.28/5.98 tff(35845,assumption,(~until2p29(s50)), introduced(assumption)).
% 7.28/5.98 tff(35846,assumption,(trans(s299, s50)), introduced(assumption)).
% 7.28/5.98 tff(35847,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35848,plain,
% 7.28/5.98 (((~trans(s299, s50)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s50)) <=> (until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35849,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35848])).
% 7.28/5.98 tff(35850,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35849, 35847])).
% 7.28/5.98 tff(35851,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s50))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35852,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s50))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35851, 35850])).
% 7.28/5.98 tff(35853,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35852, 30054, 35846, 30252, 35845, 30703])).
% 7.28/5.98 tff(35854,plain,((~trans(s299, s50)) | until2p29(s50) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35855,plain,
% 7.28/5.98 (~trans(s299, s50)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35854, 32638, 30043])).
% 7.28/5.98 tff(35856,assumption,(~until2p29(s189)), introduced(assumption)).
% 7.28/5.98 tff(35857,assumption,(trans(s299, s189)), introduced(assumption)).
% 7.28/5.98 tff(35858,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35859,plain,
% 7.28/5.98 (((~trans(s299, s189)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s189)) <=> (until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35860,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35859])).
% 7.28/5.98 tff(35861,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35860, 35858])).
% 7.28/5.98 tff(35862,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s189))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35863,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s189))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35862, 35861])).
% 7.28/5.98 tff(35864,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35863, 30054, 35857, 30252, 35856, 30703])).
% 7.28/5.98 tff(35865,plain,((~trans(s299, s189)) | until2p29(s189) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35866,plain,
% 7.28/5.98 (~trans(s299, s189)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35865, 31204, 30043])).
% 7.28/5.98 tff(35867,assumption,(~until2p29(s195)), introduced(assumption)).
% 7.28/5.98 tff(35868,assumption,(trans(s299, s195)), introduced(assumption)).
% 7.28/5.98 tff(35869,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35870,plain,
% 7.28/5.98 (((~trans(s299, s195)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s195)) <=> (until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35871,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35870])).
% 7.28/5.98 tff(35872,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35871, 35869])).
% 7.28/5.98 tff(35873,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s195))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35874,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s195))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35873, 35872])).
% 7.28/5.98 tff(35875,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35874, 30054, 35868, 30252, 35867, 30703])).
% 7.28/5.98 tff(35876,plain,((~trans(s299, s195)) | until2p29(s195) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35877,plain,
% 7.28/5.98 (~trans(s299, s195)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35876, 31144, 30043])).
% 7.28/5.98 tff(35878,assumption,(~until2p29(s103)), introduced(assumption)).
% 7.28/5.98 tff(35879,assumption,(trans(s299, s103)), introduced(assumption)).
% 7.28/5.98 tff(35880,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35881,plain,
% 7.28/5.98 (((~trans(s299, s103)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s103)) <=> (until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35882,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35881])).
% 7.28/5.98 tff(35883,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35882, 35880])).
% 7.28/5.98 tff(35884,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s103))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35885,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s103))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35884, 35883])).
% 7.28/5.98 tff(35886,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35885, 30054, 35879, 30252, 35878, 30703])).
% 7.28/5.98 tff(35887,plain,((~trans(s299, s103)) | until2p29(s103) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35888,plain,
% 7.28/5.98 (~trans(s299, s103)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35887, 32086, 30043])).
% 7.28/5.98 tff(35889,assumption,(~until2p29(s259)), introduced(assumption)).
% 7.28/5.98 tff(35890,assumption,(trans(s299, s259)), introduced(assumption)).
% 7.28/5.98 tff(35891,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35892,plain,
% 7.28/5.98 (((~trans(s299, s259)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s259)) <=> (until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35893,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35892])).
% 7.28/5.98 tff(35894,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35893, 35891])).
% 7.28/5.98 tff(35895,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s259))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35896,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s259) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s259))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35895, 35894])).
% 7.28/5.98 tff(35897,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35896, 30054, 35890, 30252, 35889, 30703])).
% 7.28/5.98 tff(35898,plain,((~trans(s299, s259)) | until2p29(s259) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35899,plain,
% 7.28/5.98 (~trans(s299, s259)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35898, 30492, 30043])).
% 7.28/5.98 tff(35900,assumption,(~until2p29(s255)), introduced(assumption)).
% 7.28/5.98 tff(35901,assumption,(trans(s299, s255)), introduced(assumption)).
% 7.28/5.98 tff(35902,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35903,plain,
% 7.28/5.98 (((~trans(s299, s255)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s255)) <=> (until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35904,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35903])).
% 7.28/5.98 tff(35905,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35904, 35902])).
% 7.28/5.98 tff(35906,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s255))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35907,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s255) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s255))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35906, 35905])).
% 7.28/5.98 tff(35908,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35907, 30054, 35901, 30252, 35900, 30703])).
% 7.28/5.98 tff(35909,plain,((~trans(s299, s255)) | until2p29(s255) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35910,plain,
% 7.28/5.98 (~trans(s299, s255)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35909, 30532, 30043])).
% 7.28/5.98 tff(35911,assumption,(~until2p29(s113)), introduced(assumption)).
% 7.28/5.98 tff(35912,assumption,(trans(s299, s113)), introduced(assumption)).
% 7.28/5.98 tff(35913,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35914,plain,
% 7.28/5.98 (((~trans(s299, s113)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s113)) <=> (until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35915,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35914])).
% 7.28/5.98 tff(35916,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35915, 35913])).
% 7.28/5.98 tff(35917,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s113))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35918,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s113))),
% 7.28/5.98 inference(modus_ponens,[status(thm)],[35917, 35916])).
% 7.28/5.98 tff(35919,plain,
% 7.28/5.98 ($false),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35918, 30054, 35912, 30252, 35911, 30703])).
% 7.28/5.98 tff(35920,plain,((~trans(s299, s113)) | until2p29(s113) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.98 tff(35921,plain,
% 7.28/5.98 (~trans(s299, s113)),
% 7.28/5.98 inference(unit_resolution,[status(thm)],[35920, 31986, 30043])).
% 7.28/5.98 tff(35922,assumption,(~until2p29(s217)), introduced(assumption)).
% 7.28/5.98 tff(35923,assumption,(trans(s299, s217)), introduced(assumption)).
% 7.28/5.98 tff(35924,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35925,plain,
% 7.28/5.98 (((~trans(s299, s217)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s217)) <=> (until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217)))),
% 7.28/5.98 inference(rewrite,[status(thm)],[])).
% 7.28/5.98 tff(35926,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217))))),
% 7.28/5.98 inference(monotonicity,[status(thm)],[35925])).
% 7.28/5.98 tff(35927,plain,
% 7.28/5.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217)))),
% 7.28/5.98 inference(transitivity,[status(thm)],[35926, 35924])).
% 7.28/5.98 tff(35928,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s217))),
% 7.28/5.98 inference(quant_inst,[status(thm)],[])).
% 7.28/5.98 tff(35929,plain,
% 7.28/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s217) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s217))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35928, 35927])).
% 7.28/5.99 tff(35930,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35929, 30054, 35923, 30252, 35922, 30703])).
% 7.28/5.99 tff(35931,plain,((~trans(s299, s217)) | until2p29(s217) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35932,plain,
% 7.28/5.99 (~trans(s299, s217)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35931, 30924, 30043])).
% 7.28/5.99 tff(35933,assumption,(~until2p29(s18)), introduced(assumption)).
% 7.28/5.99 tff(35934,assumption,(trans(s299, s18)), introduced(assumption)).
% 7.28/5.99 tff(35935,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35936,plain,
% 7.28/5.99 (((~trans(s299, s18)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s18)) <=> (until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35937,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35936])).
% 7.28/5.99 tff(35938,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35937, 35935])).
% 7.28/5.99 tff(35939,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s18))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35940,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s18))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 7.28/5.99 tff(35941,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35940, 30054, 35934, 30252, 35933, 30703])).
% 7.28/5.99 tff(35942,plain,((~trans(s299, s18)) | until2p29(s18) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35943,plain,
% 7.28/5.99 (~trans(s299, s18)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35942, 32969, 30043])).
% 7.28/5.99 tff(35944,assumption,(~until2p29(s79)), introduced(assumption)).
% 7.28/5.99 tff(35945,assumption,(trans(s299, s79)), introduced(assumption)).
% 7.28/5.99 tff(35946,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35947,plain,
% 7.28/5.99 (((~trans(s299, s79)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s79)) <=> (until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35948,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35947])).
% 7.28/5.99 tff(35949,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35948, 35946])).
% 7.28/5.99 tff(35950,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s79))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35951,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s79))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35950, 35949])).
% 7.28/5.99 tff(35952,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35951, 30054, 35945, 30252, 35944, 30703])).
% 7.28/5.99 tff(35953,plain,((~trans(s299, s79)) | until2p29(s79) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35954,plain,
% 7.28/5.99 (~trans(s299, s79)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35953, 32348, 30043])).
% 7.28/5.99 tff(35955,assumption,(~until2p29(s221)), introduced(assumption)).
% 7.28/5.99 tff(35956,assumption,(trans(s299, s221)), introduced(assumption)).
% 7.28/5.99 tff(35957,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35958,plain,
% 7.28/5.99 (((~trans(s299, s221)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s221)) <=> (until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35959,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35958])).
% 7.28/5.99 tff(35960,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35959, 35957])).
% 7.28/5.99 tff(35961,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s221))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35962,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s221) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s221))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35961, 35960])).
% 7.28/5.99 tff(35963,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35962, 30054, 35956, 30252, 35955, 30703])).
% 7.28/5.99 tff(35964,plain,((~trans(s299, s221)) | until2p29(s221) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35965,plain,
% 7.28/5.99 (~trans(s299, s221)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35964, 30884, 30043])).
% 7.28/5.99 tff(35966,assumption,(~until2p29(s211)), introduced(assumption)).
% 7.28/5.99 tff(35967,assumption,(trans(s299, s211)), introduced(assumption)).
% 7.28/5.99 tff(35968,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35969,plain,
% 7.28/5.99 (((~trans(s299, s211)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s211)) <=> (until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35970,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35969])).
% 7.28/5.99 tff(35971,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35970, 35968])).
% 7.28/5.99 tff(35972,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s211))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35973,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s211) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s211))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35972, 35971])).
% 7.28/5.99 tff(35974,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35973, 30054, 35967, 30252, 35966, 30703])).
% 7.28/5.99 tff(35975,plain,((~trans(s299, s211)) | until2p29(s211) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35976,plain,
% 7.28/5.99 (~trans(s299, s211)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35975, 30984, 30043])).
% 7.28/5.99 tff(35977,assumption,(~until2p29(s84)), introduced(assumption)).
% 7.28/5.99 tff(35978,assumption,(trans(s299, s84)), introduced(assumption)).
% 7.28/5.99 tff(35979,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35980,plain,
% 7.28/5.99 (((~trans(s299, s84)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s84)) <=> (until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35981,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35980])).
% 7.28/5.99 tff(35982,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35981, 35979])).
% 7.28/5.99 tff(35983,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s84))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35984,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s84))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35983, 35982])).
% 7.28/5.99 tff(35985,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35984, 30054, 35978, 30252, 35977, 30703])).
% 7.28/5.99 tff(35986,plain,((~trans(s299, s84)) | until2p29(s84) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35987,plain,
% 7.28/5.99 (~trans(s299, s84)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35986, 32298, 30043])).
% 7.28/5.99 tff(35988,assumption,(~until2p29(s271)), introduced(assumption)).
% 7.28/5.99 tff(35989,assumption,(trans(s299, s271)), introduced(assumption)).
% 7.28/5.99 tff(35990,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35991,plain,
% 7.28/5.99 (((~trans(s299, s271)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s271)) <=> (until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(35992,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[35991])).
% 7.28/5.99 tff(35993,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[35992, 35990])).
% 7.28/5.99 tff(35994,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s271))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(35995,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s271) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s271))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[35994, 35993])).
% 7.28/5.99 tff(35996,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35995, 30054, 35989, 30252, 35988, 30703])).
% 7.28/5.99 tff(35997,plain,((~trans(s299, s271)) | until2p29(s271) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(35998,plain,
% 7.28/5.99 (~trans(s299, s271)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[35997, 30372, 30043])).
% 7.28/5.99 tff(35999,assumption,(~until2p29(s161)), introduced(assumption)).
% 7.28/5.99 tff(36000,assumption,(trans(s299, s161)), introduced(assumption)).
% 7.28/5.99 tff(36001,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36002,plain,
% 7.28/5.99 (((~trans(s299, s161)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s161)) <=> (until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36003,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36002])).
% 7.28/5.99 tff(36004,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36003, 36001])).
% 7.28/5.99 tff(36005,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s161))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36006,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s161))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[36005, 36004])).
% 7.28/5.99 tff(36007,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36006, 30054, 36000, 30252, 35999, 30703])).
% 7.28/5.99 tff(36008,plain,((~trans(s299, s161)) | until2p29(s161) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(36009,plain,
% 7.28/5.99 (~trans(s299, s161)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36008, 31495, 30043])).
% 7.28/5.99 tff(36010,assumption,(~until2p29(s295)), introduced(assumption)).
% 7.28/5.99 tff(36011,assumption,(trans(s299, s295)), introduced(assumption)).
% 7.28/5.99 tff(36012,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36013,plain,
% 7.28/5.99 (((~trans(s299, s295)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s295)) <=> (until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36014,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s295)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36013])).
% 7.28/5.99 tff(36015,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s295)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36014, 36012])).
% 7.28/5.99 tff(36016,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s295)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s295))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36017,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s295) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s295))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[36016, 36015])).
% 7.28/5.99 tff(36018,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36017, 30054, 36011, 30252, 36010, 30703])).
% 7.28/5.99 tff(36019,plain,((~trans(s299, s295)) | until2p29(s295) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(36020,plain,
% 7.28/5.99 (~trans(s299, s295)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36019, 30122, 30043])).
% 7.28/5.99 tff(36021,assumption,(~until2p29(s181)), introduced(assumption)).
% 7.28/5.99 tff(36022,assumption,(trans(s299, s181)), introduced(assumption)).
% 7.28/5.99 tff(36023,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36024,plain,
% 7.28/5.99 (((~trans(s299, s181)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s181)) <=> (until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36025,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36024])).
% 7.28/5.99 tff(36026,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36025, 36023])).
% 7.28/5.99 tff(36027,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s181))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36028,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s181))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[36027, 36026])).
% 7.28/5.99 tff(36029,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36028, 30054, 36022, 30252, 36021, 30703])).
% 7.28/5.99 tff(36030,plain,((~trans(s299, s181)) | until2p29(s181) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(36031,plain,
% 7.28/5.99 (~trans(s299, s181)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36030, 31284, 30043])).
% 7.28/5.99 tff(36032,assumption,(~until2p29(s115)), introduced(assumption)).
% 7.28/5.99 tff(36033,assumption,(trans(s299, s115)), introduced(assumption)).
% 7.28/5.99 tff(36034,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36035,plain,
% 7.28/5.99 (((~trans(s299, s115)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s115)) <=> (until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36036,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36035])).
% 7.28/5.99 tff(36037,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36036, 36034])).
% 7.28/5.99 tff(36038,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s115))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36039,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s115))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[36038, 36037])).
% 7.28/5.99 tff(36040,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36039, 30054, 36033, 30252, 36032, 30703])).
% 7.28/5.99 tff(36041,plain,((~trans(s299, s115)) | until2p29(s115) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(36042,plain,
% 7.28/5.99 (~trans(s299, s115)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36041, 31966, 30043])).
% 7.28/5.99 tff(36043,assumption,(~until2p29(s287)), introduced(assumption)).
% 7.28/5.99 tff(36044,assumption,(trans(s299, s287)), introduced(assumption)).
% 7.28/5.99 tff(36045,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36046,plain,
% 7.28/5.99 (((~trans(s299, s287)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s287)) <=> (until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36047,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36046])).
% 7.28/5.99 tff(36048,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36047, 36045])).
% 7.28/5.99 tff(36049,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s287))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36050,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s287) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s287))),
% 7.28/5.99 inference(modus_ponens,[status(thm)],[36049, 36048])).
% 7.28/5.99 tff(36051,plain,
% 7.28/5.99 ($false),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36050, 30054, 36044, 30252, 36043, 30703])).
% 7.28/5.99 tff(36052,plain,((~trans(s299, s287)) | until2p29(s287) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/5.99 tff(36053,plain,
% 7.28/5.99 (~trans(s299, s287)),
% 7.28/5.99 inference(unit_resolution,[status(thm)],[36052, 30202, 30043])).
% 7.28/5.99 tff(36054,assumption,(~until2p29(s78)), introduced(assumption)).
% 7.28/5.99 tff(36055,assumption,(trans(s299, s78)), introduced(assumption)).
% 7.28/5.99 tff(36056,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36057,plain,
% 7.28/5.99 (((~trans(s299, s78)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s78)) <=> (until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78)))),
% 7.28/5.99 inference(rewrite,[status(thm)],[])).
% 7.28/5.99 tff(36058,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78))))),
% 7.28/5.99 inference(monotonicity,[status(thm)],[36057])).
% 7.28/5.99 tff(36059,plain,
% 7.28/5.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78)))),
% 7.28/5.99 inference(transitivity,[status(thm)],[36058, 36056])).
% 7.28/5.99 tff(36060,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s78))),
% 7.28/5.99 inference(quant_inst,[status(thm)],[])).
% 7.28/5.99 tff(36061,plain,
% 7.28/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s78))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36060, 36059])).
% 7.28/6.00 tff(36062,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36061, 30054, 36055, 30252, 36054, 30703])).
% 7.28/6.00 tff(36063,plain,((~trans(s299, s78)) | until2p29(s78) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36064,plain,
% 7.28/6.00 (~trans(s299, s78)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36063, 32358, 30043])).
% 7.28/6.00 tff(36065,assumption,(~until2p29(s114)), introduced(assumption)).
% 7.28/6.00 tff(36066,assumption,(trans(s299, s114)), introduced(assumption)).
% 7.28/6.00 tff(36067,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36068,plain,
% 7.28/6.00 (((~trans(s299, s114)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s114)) <=> (until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36069,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36068])).
% 7.28/6.00 tff(36070,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36069, 36067])).
% 7.28/6.00 tff(36071,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s114))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36072,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s114))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36071, 36070])).
% 7.28/6.00 tff(36073,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36072, 30054, 36066, 30252, 36065, 30703])).
% 7.28/6.00 tff(36074,plain,((~trans(s299, s114)) | until2p29(s114) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36075,plain,
% 7.28/6.00 (~trans(s299, s114)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36074, 31976, 30043])).
% 7.28/6.00 tff(36076,assumption,(~until2p29(s82)), introduced(assumption)).
% 7.28/6.00 tff(36077,assumption,(trans(s299, s82)), introduced(assumption)).
% 7.28/6.00 tff(36078,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36079,plain,
% 7.28/6.00 (((~trans(s299, s82)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s82)) <=> (until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36080,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36079])).
% 7.28/6.00 tff(36081,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36080, 36078])).
% 7.28/6.00 tff(36082,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s82))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36083,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s82))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36082, 36081])).
% 7.28/6.00 tff(36084,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36083, 30054, 36077, 30252, 36076, 30703])).
% 7.28/6.00 tff(36085,plain,((~trans(s299, s82)) | until2p29(s82) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36086,plain,
% 7.28/6.00 (~trans(s299, s82)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36085, 32318, 30043])).
% 7.28/6.00 tff(36087,assumption,(~until2p29(s277)), introduced(assumption)).
% 7.28/6.00 tff(36088,assumption,(trans(s299, s277)), introduced(assumption)).
% 7.28/6.00 tff(36089,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36090,plain,
% 7.28/6.00 (((~trans(s299, s277)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s277)) <=> (until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36091,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36090])).
% 7.28/6.00 tff(36092,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36091, 36089])).
% 7.28/6.00 tff(36093,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s277))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36094,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s277) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s277))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36093, 36092])).
% 7.28/6.00 tff(36095,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36094, 30054, 36088, 30252, 36087, 30703])).
% 7.28/6.00 tff(36096,plain,((~trans(s299, s277)) | until2p29(s277) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36097,plain,
% 7.28/6.00 (~trans(s299, s277)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36096, 30312, 30043])).
% 7.28/6.00 tff(36098,assumption,(~until2p29(s88)), introduced(assumption)).
% 7.28/6.00 tff(36099,assumption,(trans(s299, s88)), introduced(assumption)).
% 7.28/6.00 tff(36100,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36101,plain,
% 7.28/6.00 (((~trans(s299, s88)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s88)) <=> (until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36102,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36101])).
% 7.28/6.00 tff(36103,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36102, 36100])).
% 7.28/6.00 tff(36104,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s88))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36105,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s88))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36104, 36103])).
% 7.28/6.00 tff(36106,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36105, 30054, 36099, 30252, 36098, 30703])).
% 7.28/6.00 tff(36107,plain,((~trans(s299, s88)) | until2p29(s88) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36108,plain,
% 7.28/6.00 (~trans(s299, s88)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36107, 32258, 30043])).
% 7.28/6.00 tff(36109,assumption,(~until2p29(s279)), introduced(assumption)).
% 7.28/6.00 tff(36110,assumption,(trans(s299, s279)), introduced(assumption)).
% 7.28/6.00 tff(36111,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36112,plain,
% 7.28/6.00 (((~trans(s299, s279)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s279)) <=> (until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36113,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36112])).
% 7.28/6.00 tff(36114,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36113, 36111])).
% 7.28/6.00 tff(36115,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s279))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36116,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s279) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s279))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 7.28/6.00 tff(36117,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36116, 30054, 36110, 30252, 36109, 30703])).
% 7.28/6.00 tff(36118,plain,((~trans(s299, s279)) | until2p29(s279) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36119,plain,
% 7.28/6.00 (~trans(s299, s279)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36118, 30292, 30043])).
% 7.28/6.00 tff(36120,assumption,(~until2p29(s187)), introduced(assumption)).
% 7.28/6.00 tff(36121,assumption,(trans(s299, s187)), introduced(assumption)).
% 7.28/6.00 tff(36122,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36123,plain,
% 7.28/6.00 (((~trans(s299, s187)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s187)) <=> (until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36124,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36123])).
% 7.28/6.00 tff(36125,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36124, 36122])).
% 7.28/6.00 tff(36126,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s187))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36127,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s187))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36126, 36125])).
% 7.28/6.00 tff(36128,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36127, 30054, 36121, 30252, 36120, 30703])).
% 7.28/6.00 tff(36129,plain,((~trans(s299, s187)) | until2p29(s187) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36130,plain,
% 7.28/6.00 (~trans(s299, s187)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36129, 31224, 30043])).
% 7.28/6.00 tff(36131,assumption,(~until2p29(s139)), introduced(assumption)).
% 7.28/6.00 tff(36132,assumption,(trans(s299, s139)), introduced(assumption)).
% 7.28/6.00 tff(36133,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36134,plain,
% 7.28/6.00 (((~trans(s299, s139)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s139)) <=> (until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36135,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36134])).
% 7.28/6.00 tff(36136,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36135, 36133])).
% 7.28/6.00 tff(36137,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s139))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36138,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s139))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36137, 36136])).
% 7.28/6.00 tff(36139,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36138, 30054, 36132, 30252, 36131, 30703])).
% 7.28/6.00 tff(36140,plain,((~trans(s299, s139)) | until2p29(s139) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36141,plain,
% 7.28/6.00 (~trans(s299, s139)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36140, 31726, 30043])).
% 7.28/6.00 tff(36142,assumption,(~until2p29(s66)), introduced(assumption)).
% 7.28/6.00 tff(36143,assumption,(trans(s299, s66)), introduced(assumption)).
% 7.28/6.00 tff(36144,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36145,plain,
% 7.28/6.00 (((~trans(s299, s66)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s66)) <=> (until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36146,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36145])).
% 7.28/6.00 tff(36147,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36146, 36144])).
% 7.28/6.00 tff(36148,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s66))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36149,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s66))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36148, 36147])).
% 7.28/6.00 tff(36150,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36149, 30054, 36143, 30252, 36142, 30703])).
% 7.28/6.00 tff(36151,plain,((~trans(s299, s66)) | until2p29(s66) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36152,plain,
% 7.28/6.00 (~trans(s299, s66)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36151, 32478, 30043])).
% 7.28/6.00 tff(36153,assumption,(~until2p29(s58)), introduced(assumption)).
% 7.28/6.00 tff(36154,assumption,(trans(s299, s58)), introduced(assumption)).
% 7.28/6.00 tff(36155,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36156,plain,
% 7.28/6.00 (((~trans(s299, s58)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s58)) <=> (until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36157,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36156])).
% 7.28/6.00 tff(36158,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36157, 36155])).
% 7.28/6.00 tff(36159,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s58))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36160,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s58))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36159, 36158])).
% 7.28/6.00 tff(36161,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36160, 30054, 36154, 30252, 36153, 30703])).
% 7.28/6.00 tff(36162,plain,((~trans(s299, s58)) | until2p29(s58) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36163,plain,
% 7.28/6.00 (~trans(s299, s58)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36162, 32558, 30043])).
% 7.28/6.00 tff(36164,assumption,(~until2p29(s203)), introduced(assumption)).
% 7.28/6.00 tff(36165,assumption,(trans(s299, s203)), introduced(assumption)).
% 7.28/6.00 tff(36166,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36167,plain,
% 7.28/6.00 (((~trans(s299, s203)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s203)) <=> (until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36168,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36167])).
% 7.28/6.00 tff(36169,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36168, 36166])).
% 7.28/6.00 tff(36170,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s203))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36171,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s203))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36170, 36169])).
% 7.28/6.00 tff(36172,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36171, 30054, 36165, 30252, 36164, 30703])).
% 7.28/6.00 tff(36173,plain,((~trans(s299, s203)) | until2p29(s203) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36174,plain,
% 7.28/6.00 (~trans(s299, s203)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36173, 31064, 30043])).
% 7.28/6.00 tff(36175,assumption,(~until2p29(s60)), introduced(assumption)).
% 7.28/6.00 tff(36176,assumption,(trans(s299, s60)), introduced(assumption)).
% 7.28/6.00 tff(36177,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36178,plain,
% 7.28/6.00 (((~trans(s299, s60)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s60)) <=> (until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36179,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36178])).
% 7.28/6.00 tff(36180,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36179, 36177])).
% 7.28/6.00 tff(36181,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s60))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36182,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s60))),
% 7.28/6.00 inference(modus_ponens,[status(thm)],[36181, 36180])).
% 7.28/6.00 tff(36183,plain,
% 7.28/6.00 ($false),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36182, 30054, 36176, 30252, 36175, 30703])).
% 7.28/6.00 tff(36184,plain,((~trans(s299, s60)) | until2p29(s60) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.00 tff(36185,plain,
% 7.28/6.00 (~trans(s299, s60)),
% 7.28/6.00 inference(unit_resolution,[status(thm)],[36184, 32538, 30043])).
% 7.28/6.00 tff(36186,assumption,(~until2p29(s21)), introduced(assumption)).
% 7.28/6.00 tff(36187,assumption,(trans(s299, s21)), introduced(assumption)).
% 7.28/6.00 tff(36188,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36189,plain,
% 7.28/6.00 (((~trans(s299, s21)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s21)) <=> (until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21)))),
% 7.28/6.00 inference(rewrite,[status(thm)],[])).
% 7.28/6.00 tff(36190,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21))))),
% 7.28/6.00 inference(monotonicity,[status(thm)],[36189])).
% 7.28/6.00 tff(36191,plain,
% 7.28/6.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21)))),
% 7.28/6.00 inference(transitivity,[status(thm)],[36190, 36188])).
% 7.28/6.00 tff(36192,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s21))),
% 7.28/6.00 inference(quant_inst,[status(thm)],[])).
% 7.28/6.00 tff(36193,plain,
% 7.28/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s21))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36192, 36191])).
% 7.28/6.01 tff(36194,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36193, 30054, 36187, 30252, 36186, 30703])).
% 7.28/6.01 tff(36195,plain,((~trans(s299, s21)) | until2p29(s21) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36196,plain,
% 7.28/6.01 (~trans(s299, s21)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36195, 32939, 30043])).
% 7.28/6.01 tff(36197,assumption,(~until2p29(s143)), introduced(assumption)).
% 7.28/6.01 tff(36198,assumption,(trans(s299, s143)), introduced(assumption)).
% 7.28/6.01 tff(36199,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36200,plain,
% 7.28/6.01 (((~trans(s299, s143)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s143)) <=> (until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36201,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36200])).
% 7.28/6.01 tff(36202,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36201, 36199])).
% 7.28/6.01 tff(36203,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s143))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36204,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s143))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36203, 36202])).
% 7.28/6.01 tff(36205,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36204, 30054, 36198, 30252, 36197, 30703])).
% 7.28/6.01 tff(36206,plain,((~trans(s299, s143)) | until2p29(s143) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36207,plain,
% 7.28/6.01 (~trans(s299, s143)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36206, 31686, 30043])).
% 7.28/6.01 tff(36208,assumption,(~until2p29(s171)), introduced(assumption)).
% 7.28/6.01 tff(36209,assumption,(trans(s299, s171)), introduced(assumption)).
% 7.28/6.01 tff(36210,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36211,plain,
% 7.28/6.01 (((~trans(s299, s171)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s171)) <=> (until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36212,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36211])).
% 7.28/6.01 tff(36213,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36212, 36210])).
% 7.28/6.01 tff(36214,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s171))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36215,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s171))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36214, 36213])).
% 7.28/6.01 tff(36216,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36215, 30054, 36209, 30252, 36208, 30703])).
% 7.28/6.01 tff(36217,plain,((~trans(s299, s171)) | until2p29(s171) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36218,plain,
% 7.28/6.01 (~trans(s299, s171)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36217, 31395, 30043])).
% 7.28/6.01 tff(36219,assumption,(~until2p29(s68)), introduced(assumption)).
% 7.28/6.01 tff(36220,assumption,(trans(s299, s68)), introduced(assumption)).
% 7.28/6.01 tff(36221,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36222,plain,
% 7.28/6.01 (((~trans(s299, s68)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s68)) <=> (until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36223,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36222])).
% 7.28/6.01 tff(36224,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36223, 36221])).
% 7.28/6.01 tff(36225,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s68))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36226,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s68))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36225, 36224])).
% 7.28/6.01 tff(36227,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36226, 30054, 36220, 30252, 36219, 30703])).
% 7.28/6.01 tff(36228,plain,((~trans(s299, s68)) | until2p29(s68) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36229,plain,
% 7.28/6.01 (~trans(s299, s68)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36228, 32458, 30043])).
% 7.28/6.01 tff(36230,assumption,(~until2p29(s267)), introduced(assumption)).
% 7.28/6.01 tff(36231,assumption,(trans(s299, s267)), introduced(assumption)).
% 7.28/6.01 tff(36232,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36233,plain,
% 7.28/6.01 (((~trans(s299, s267)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s267)) <=> (until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36234,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36233])).
% 7.28/6.01 tff(36235,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36234, 36232])).
% 7.28/6.01 tff(36236,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s267))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36237,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s267) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s267))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36236, 36235])).
% 7.28/6.01 tff(36238,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36237, 30054, 36231, 30252, 36230, 30703])).
% 7.28/6.01 tff(36239,plain,((~trans(s299, s267)) | until2p29(s267) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36240,plain,
% 7.28/6.01 (~trans(s299, s267)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36239, 30412, 30043])).
% 7.28/6.01 tff(36241,assumption,(~until2p29(s86)), introduced(assumption)).
% 7.28/6.01 tff(36242,assumption,(trans(s299, s86)), introduced(assumption)).
% 7.28/6.01 tff(36243,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36244,plain,
% 7.28/6.01 (((~trans(s299, s86)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s86)) <=> (until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36245,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36244])).
% 7.28/6.01 tff(36246,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36245, 36243])).
% 7.28/6.01 tff(36247,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s86))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36248,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s86))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36247, 36246])).
% 7.28/6.01 tff(36249,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36248, 30054, 36242, 30252, 36241, 30703])).
% 7.28/6.01 tff(36250,plain,((~trans(s299, s86)) | until2p29(s86) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36251,plain,
% 7.28/6.01 (~trans(s299, s86)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36250, 32278, 30043])).
% 7.28/6.01 tff(36252,assumption,(~until2p29(s76)), introduced(assumption)).
% 7.28/6.01 tff(36253,assumption,(trans(s299, s76)), introduced(assumption)).
% 7.28/6.01 tff(36254,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36255,plain,
% 7.28/6.01 (((~trans(s299, s76)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s76)) <=> (until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36256,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76))))),
% 7.28/6.01 inference(monotonicity,[status(thm)],[36255])).
% 7.28/6.01 tff(36257,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76)))),
% 7.28/6.01 inference(transitivity,[status(thm)],[36256, 36254])).
% 7.28/6.01 tff(36258,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s76))),
% 7.28/6.01 inference(quant_inst,[status(thm)],[])).
% 7.28/6.01 tff(36259,plain,
% 7.28/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s76))),
% 7.28/6.01 inference(modus_ponens,[status(thm)],[36258, 36257])).
% 7.28/6.01 tff(36260,plain,
% 7.28/6.01 ($false),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36259, 30054, 36253, 30252, 36252, 30703])).
% 7.28/6.01 tff(36261,plain,((~trans(s299, s76)) | until2p29(s76) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.28/6.01 tff(36262,plain,
% 7.28/6.01 (~trans(s299, s76)),
% 7.28/6.01 inference(unit_resolution,[status(thm)],[36261, 32378, 30043])).
% 7.28/6.01 tff(36263,assumption,(~until2p29(s285)), introduced(assumption)).
% 7.28/6.01 tff(36264,assumption,(trans(s299, s285)), introduced(assumption)).
% 7.28/6.01 tff(36265,plain,
% 7.28/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285)))),
% 7.28/6.01 inference(rewrite,[status(thm)],[])).
% 7.28/6.01 tff(36266,plain,
% 7.28/6.01 (((~trans(s299, s285)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s285)) <=> (until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36267,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36266])).
% 7.38/6.01 tff(36268,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36267, 36265])).
% 7.38/6.01 tff(36269,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s285))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36270,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s285) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s285))),
% 7.38/6.01 inference(modus_ponens,[status(thm)],[36269, 36268])).
% 7.38/6.01 tff(36271,plain,
% 7.38/6.01 ($false),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36270, 30054, 36264, 30252, 36263, 30703])).
% 7.38/6.01 tff(36272,plain,((~trans(s299, s285)) | until2p29(s285) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.01 tff(36273,plain,
% 7.38/6.01 (~trans(s299, s285)),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36272, 30222, 30043])).
% 7.38/6.01 tff(36274,assumption,(~until2p29(s273)), introduced(assumption)).
% 7.38/6.01 tff(36275,assumption,(trans(s299, s273)), introduced(assumption)).
% 7.38/6.01 tff(36276,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36277,plain,
% 7.38/6.01 (((~trans(s299, s273)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s273)) <=> (until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36278,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36277])).
% 7.38/6.01 tff(36279,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36278, 36276])).
% 7.38/6.01 tff(36280,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s273))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36281,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s273) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s273))),
% 7.38/6.01 inference(modus_ponens,[status(thm)],[36280, 36279])).
% 7.38/6.01 tff(36282,plain,
% 7.38/6.01 ($false),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36281, 30054, 36275, 30252, 36274, 30703])).
% 7.38/6.01 tff(36283,plain,((~trans(s299, s273)) | until2p29(s273) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.01 tff(36284,plain,
% 7.38/6.01 (~trans(s299, s273)),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36283, 30352, 30043])).
% 7.38/6.01 tff(36285,assumption,(~until2p29(s281)), introduced(assumption)).
% 7.38/6.01 tff(36286,assumption,(trans(s299, s281)), introduced(assumption)).
% 7.38/6.01 tff(36287,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36288,plain,
% 7.38/6.01 (((~trans(s299, s281)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s281)) <=> (until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36289,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36288])).
% 7.38/6.01 tff(36290,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36289, 36287])).
% 7.38/6.01 tff(36291,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s281))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36292,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s281) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s281))),
% 7.38/6.01 inference(modus_ponens,[status(thm)],[36291, 36290])).
% 7.38/6.01 tff(36293,plain,
% 7.38/6.01 ($false),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36292, 30054, 36286, 30252, 36285, 30703])).
% 7.38/6.01 tff(36294,plain,((~trans(s299, s281)) | until2p29(s281) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.01 tff(36295,plain,
% 7.38/6.01 (~trans(s299, s281)),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36294, 30272, 30043])).
% 7.38/6.01 tff(36296,assumption,(~until2p29(s212)), introduced(assumption)).
% 7.38/6.01 tff(36297,assumption,(trans(s299, s212)), introduced(assumption)).
% 7.38/6.01 tff(36298,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36299,plain,
% 7.38/6.01 (((~trans(s299, s212)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s212)) <=> (until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36300,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36299])).
% 7.38/6.01 tff(36301,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36300, 36298])).
% 7.38/6.01 tff(36302,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s212))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36303,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s212) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s212))),
% 7.38/6.01 inference(modus_ponens,[status(thm)],[36302, 36301])).
% 7.38/6.01 tff(36304,plain,
% 7.38/6.01 ($false),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36303, 30054, 36297, 30252, 36296, 30703])).
% 7.38/6.01 tff(36305,plain,((~trans(s299, s212)) | until2p29(s212) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.01 tff(36306,plain,
% 7.38/6.01 (~trans(s299, s212)),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36305, 30974, 30043])).
% 7.38/6.01 tff(36307,assumption,(~until2p29(s204)), introduced(assumption)).
% 7.38/6.01 tff(36308,assumption,(trans(s299, s204)), introduced(assumption)).
% 7.38/6.01 tff(36309,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36310,plain,
% 7.38/6.01 (((~trans(s299, s204)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s204)) <=> (until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36311,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36310])).
% 7.38/6.01 tff(36312,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36311, 36309])).
% 7.38/6.01 tff(36313,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s204))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36314,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s204))),
% 7.38/6.01 inference(modus_ponens,[status(thm)],[36313, 36312])).
% 7.38/6.01 tff(36315,plain,
% 7.38/6.01 ($false),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36314, 30054, 36308, 30252, 36307, 30703])).
% 7.38/6.01 tff(36316,plain,((~trans(s299, s204)) | until2p29(s204) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.01 tff(36317,plain,
% 7.38/6.01 (~trans(s299, s204)),
% 7.38/6.01 inference(unit_resolution,[status(thm)],[36316, 31054, 30043])).
% 7.38/6.01 tff(36318,assumption,(~until2p29(s168)), introduced(assumption)).
% 7.38/6.01 tff(36319,assumption,(trans(s299, s168)), introduced(assumption)).
% 7.38/6.01 tff(36320,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36321,plain,
% 7.38/6.01 (((~trans(s299, s168)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s168)) <=> (until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168)))),
% 7.38/6.01 inference(rewrite,[status(thm)],[])).
% 7.38/6.01 tff(36322,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168))))),
% 7.38/6.01 inference(monotonicity,[status(thm)],[36321])).
% 7.38/6.01 tff(36323,plain,
% 7.38/6.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168)))),
% 7.38/6.01 inference(transitivity,[status(thm)],[36322, 36320])).
% 7.38/6.01 tff(36324,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s168))),
% 7.38/6.01 inference(quant_inst,[status(thm)],[])).
% 7.38/6.01 tff(36325,plain,
% 7.38/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s168))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36324, 36323])).
% 7.38/6.02 tff(36326,plain,
% 7.38/6.02 ($false),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36325, 30054, 36319, 30252, 36318, 30703])).
% 7.38/6.02 tff(36327,plain,((~trans(s299, s168)) | until2p29(s168) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.02 tff(36328,plain,
% 7.38/6.02 (~trans(s299, s168)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36327, 31425, 30043])).
% 7.38/6.02 tff(36329,assumption,(~until2p29(s233)), introduced(assumption)).
% 7.38/6.02 tff(36330,assumption,(trans(s299, s233)), introduced(assumption)).
% 7.38/6.02 tff(36331,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36332,plain,
% 7.38/6.02 (((~trans(s299, s233)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s233)) <=> (until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36333,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233))))),
% 7.38/6.02 inference(monotonicity,[status(thm)],[36332])).
% 7.38/6.02 tff(36334,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233)))),
% 7.38/6.02 inference(transitivity,[status(thm)],[36333, 36331])).
% 7.38/6.02 tff(36335,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s233))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36336,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s233) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s233))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 7.38/6.02 tff(36337,plain,
% 7.38/6.02 ($false),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36336, 30054, 36330, 30252, 36329, 30703])).
% 7.38/6.02 tff(36338,plain,((~trans(s299, s233)) | until2p29(s233) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.02 tff(36339,plain,
% 7.38/6.02 (~trans(s299, s233)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36338, 30764, 30043])).
% 7.38/6.02 tff(36340,assumption,(~until2p29(s291)), introduced(assumption)).
% 7.38/6.02 tff(36341,assumption,(trans(s299, s291)), introduced(assumption)).
% 7.38/6.02 tff(36342,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36343,plain,
% 7.38/6.02 (((~trans(s299, s291)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s291)) <=> (until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36344,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291))))),
% 7.38/6.02 inference(monotonicity,[status(thm)],[36343])).
% 7.38/6.02 tff(36345,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291)))),
% 7.38/6.02 inference(transitivity,[status(thm)],[36344, 36342])).
% 7.38/6.02 tff(36346,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil28(s299)) | until2p29(s291))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36347,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s291) | (~last(s299)) | (~xuntil28(s299)) | (~trans(s299, s291))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36346, 36345])).
% 7.38/6.02 tff(36348,plain,
% 7.38/6.02 ($false),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36347, 30054, 36341, 30252, 36340, 30703])).
% 7.38/6.02 tff(36349,plain,((~trans(s299, s291)) | until2p29(s291) | (~xuntil28(s299))), inference(lemma,lemma(discharge,[]))).
% 7.38/6.02 tff(36350,plain,
% 7.38/6.02 (~trans(s299, s291)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36349, 30162, 30043])).
% 7.38/6.02 tff(36351,assumption,(node18(s299, s298)), introduced(assumption)).
% 7.38/6.02 tff(36352,plain,
% 7.38/6.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36353,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36354,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s297, c_n2)) | (~m_main_v_state2(s297, c_c2))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36353, 36352])).
% 7.38/6.02 tff(36355,plain,
% 7.38/6.02 (~m_main_v_state2(s297, c_c2)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36354, 716, 23816])).
% 7.38/6.02 tff(36356,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s297, c_c2) | (~node3(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s297, c_c2) | (~node3(s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36357,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s297, c_c2) | (~node3(s297)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36358,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s297, c_c2) | (~node3(s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36357, 36356])).
% 7.38/6.02 tff(36359,plain,
% 7.38/6.02 (~node3(s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36358, 184, 36355])).
% 7.38/6.02 tff(36360,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s296, c_n1) | (~node1(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s296, c_n1) | (~node1(s296)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36361,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s296, c_n1) | (~node1(s296)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36362,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s296, c_n1) | (~node1(s296))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36361, 36360])).
% 7.38/6.02 tff(36363,plain,
% 7.38/6.02 (~node1(s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36362, 249, 23773])).
% 7.38/6.02 tff(36364,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s295, s296)) | node18(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s295, s296)) | node18(s295, s296))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36365,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s295, s296)) | node18(s295, s296))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36366,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s295, s296)) | node18(s295, s296)),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36365, 36364])).
% 7.38/6.02 tff(36367,plain,
% 7.38/6.02 (node18(s295, s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36366, 71, 23743])).
% 7.38/6.02 tff(36368,plain,
% 7.38/6.02 (((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, 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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36369,plain,
% 7.38/6.02 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36370,plain,
% 7.38/6.02 ((~![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(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | (~node18(s295, s296)) | m_main_v_turn(s296, c_2)),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36369, 36368])).
% 7.38/6.02 tff(36371,plain,
% 7.38/6.02 ((~m_main_v_state1(s295, c_n1)) | (~m_main_v_state2(s295, c_t2)) | m_main_v_turn(s296, c_2)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36370, 625, 36367])).
% 7.38/6.02 tff(36372,plain,
% 7.38/6.02 (m_main_v_turn(s296, c_2)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36371, 23696, 23732])).
% 7.38/6.02 tff(36373,plain,
% 7.38/6.02 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36374,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36375,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s296, c_1)) | (~m_main_v_turn(s296, c_2))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36374, 36373])).
% 7.38/6.02 tff(36376,plain,
% 7.38/6.02 (~m_main_v_turn(s296, c_1)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36375, 322, 36372])).
% 7.38/6.02 tff(36377,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s296, c_1) | (~node5(s296)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s296, c_1) | (~node5(s296)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36378,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s296, c_1) | (~node5(s296)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36379,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s296, c_1) | (~node5(s296))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36378, 36377])).
% 7.38/6.02 tff(36380,plain,
% 7.38/6.02 (~node5(s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36379, 641, 36376])).
% 7.38/6.02 tff(36381,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s296, c_n1) | (~node2(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s296, c_n1) | (~node2(s296)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36382,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s296, c_n1) | (~node2(s296)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36383,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s296, c_n1) | (~node2(s296))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36382, 36381])).
% 7.38/6.02 tff(36384,plain,
% 7.38/6.02 (~node2(s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36383, 652, 23773])).
% 7.38/6.02 tff(36385,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s296, c_n1) | (~node3(s296)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s296, c_n1) | (~node3(s296)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36386,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s296, c_n1) | (~node3(s296)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36387,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s296, c_n1) | (~node3(s296))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 7.38/6.02 tff(36388,plain,
% 7.38/6.02 (~node3(s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36387, 663, 23773])).
% 7.38/6.02 tff(36389,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s296, c_n2) | (~node4(s296)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s296, c_n2) | (~node4(s296)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36390,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s296, c_n2) | (~node4(s296)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36391,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s296, c_n2) | (~node4(s296))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36390, 36389])).
% 7.38/6.02 tff(36392,plain,
% 7.38/6.02 (~node4(s296)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36391, 162, 23793])).
% 7.38/6.02 tff(36393,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s296, s297)) | node7(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s296, s297)) | node7(s296, s297))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36394,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s296, s297)) | node7(s296, s297))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36395,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s296, s297)) | node7(s296, s297)),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36394, 36393])).
% 7.38/6.02 tff(36396,plain,
% 7.38/6.02 (node7(s296, s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36395, 217, 23804])).
% 7.38/6.02 tff(36397,plain,
% 7.38/6.02 (((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))) <=> ((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36398,plain,
% 7.38/6.02 ((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36399,plain,
% 7.38/6.02 ((~![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(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297) | (~node7(s296, s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36398, 36397])).
% 7.38/6.02 tff(36400,plain,
% 7.38/6.02 (m_main_v_state1(s296, c_c1) | node1(s296) | node2(s296) | node3(s296) | node4(s296) | node5(s296) | node6(s296, s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36399, 745, 36396])).
% 7.38/6.02 tff(36401,plain,
% 7.38/6.02 (node6(s296, s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36400, 36392, 23781, 36388, 36384, 36380, 36363])).
% 7.38/6.02 tff(36402,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36403,plain,
% 7.38/6.02 (((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1))) <=> (m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36404,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, 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(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297))))),
% 7.38/6.02 inference(monotonicity,[status(thm)],[36403])).
% 7.38/6.02 tff(36405,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, 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(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297)))),
% 7.38/6.02 inference(transitivity,[status(thm)],[36404, 36402])).
% 7.38/6.02 tff(36406,plain,
% 7.38/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s296, s297)) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36407,plain,
% 7.38/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s296, c_n1) | (~m_main_v_state1(s297, c_n1)) | (~node6(s296, s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36406, 36405])).
% 7.38/6.02 tff(36408,plain,
% 7.38/6.02 (~m_main_v_state1(s297, c_n1)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36407, 936, 23773, 36401])).
% 7.38/6.02 tff(36409,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s297, c_n1) | (~node2(s297)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s297, c_n1) | (~node2(s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36410,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s297, c_n1) | (~node2(s297)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36411,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s297, c_n1) | (~node2(s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36410, 36409])).
% 7.38/6.02 tff(36412,plain,
% 7.38/6.02 (~node2(s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36411, 652, 36408])).
% 7.38/6.02 tff(36413,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36414,plain,
% 7.38/6.02 (((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1)) <=> ((~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36415,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, 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(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297))))),
% 7.38/6.02 inference(monotonicity,[status(thm)],[36414])).
% 7.38/6.02 tff(36416,plain,
% 7.38/6.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, 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(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297)))),
% 7.38/6.02 inference(transitivity,[status(thm)],[36415, 36413])).
% 7.38/6.02 tff(36417,plain,
% 7.38/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s296, s297)) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36418,plain,
% 7.38/6.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s296, c_t1)) | m_main_v_state1(s297, c_t1) | (~node6(s296, s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 7.38/6.02 tff(36419,plain,
% 7.38/6.02 (m_main_v_state1(s297, c_t1)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36418, 760, 23769, 36401])).
% 7.38/6.02 tff(36420,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s297, c_t2) | (~node1(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s297, c_t2) | (~node1(s297)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36421,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s297, c_t2) | (~node1(s297)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36422,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s297, c_t2) | (~node1(s297))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36421, 36420])).
% 7.38/6.02 tff(36423,plain,
% 7.38/6.02 (~node1(s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36422, 206, 23820])).
% 7.38/6.02 tff(36424,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36425,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36426,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36425, 36424])).
% 7.38/6.02 tff(36427,plain,
% 7.38/6.02 (trans(s297, s298)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36426, 30012, 57])).
% 7.38/6.02 tff(36428,plain,
% 7.38/6.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s297, s298)) | node7(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s297, s298)) | node7(s297, s298))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36429,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s297, s298)) | node7(s297, s298))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36430,plain,
% 7.38/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s297, s298)) | node7(s297, s298)),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36429, 36428])).
% 7.38/6.02 tff(36431,plain,
% 7.38/6.02 (node7(s297, s298)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36430, 217, 36427])).
% 7.38/6.02 tff(36432,plain,
% 7.38/6.02 (((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36433,plain,
% 7.38/6.02 (((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1)) <=> ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36434,plain,
% 7.38/6.02 (((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, 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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298))))),
% 7.38/6.02 inference(monotonicity,[status(thm)],[36433])).
% 7.38/6.02 tff(36435,plain,
% 7.38/6.02 (((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, 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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)))),
% 7.38/6.02 inference(transitivity,[status(thm)],[36434, 36432])).
% 7.38/6.02 tff(36436,plain,
% 7.38/6.02 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298)) | m_main_v_state1(s298, c_c1))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36437,plain,
% 7.38/6.02 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297) | (~node7(s297, s298))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36436, 36435])).
% 7.38/6.02 tff(36438,plain,
% 7.38/6.02 ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state1(s298, c_c1) | node1(s297) | node2(s297) | node3(s297)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36437, 965, 36431])).
% 7.38/6.02 tff(36439,plain,
% 7.38/6.02 (m_main_v_state1(s298, c_c1)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36438, 36423, 23816, 36419, 36412, 36359])).
% 7.38/6.02 tff(36440,plain,
% 7.38/6.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36441,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36442,plain,
% 7.38/6.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_t1)) | (~m_main_v_state1(s298, c_c1))),
% 7.38/6.02 inference(modus_ponens,[status(thm)],[36441, 36440])).
% 7.38/6.02 tff(36443,plain,
% 7.38/6.02 (~m_main_v_state1(s298, c_t1)),
% 7.38/6.02 inference(unit_resolution,[status(thm)],[36442, 289, 36439])).
% 7.38/6.02 tff(36444,plain,
% 7.38/6.02 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s298, c_t1) | (~node5(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s298, c_t1) | (~node5(s298)))),
% 7.38/6.02 inference(rewrite,[status(thm)],[])).
% 7.38/6.02 tff(36445,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s298, c_t1) | (~node5(s298)))),
% 7.38/6.02 inference(quant_inst,[status(thm)],[])).
% 7.38/6.02 tff(36446,plain,
% 7.38/6.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s298, c_t1) | (~node5(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36445, 36444])).
% 7.38/6.03 tff(36447,plain,
% 7.38/6.03 (~node5(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36446, 300, 36443])).
% 7.38/6.03 tff(36448,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s297, s298)) | node14(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s297, s298)) | node14(s297, s298))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36449,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s297, s298)) | node14(s297, s298))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36450,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s297, s298)) | node14(s297, s298)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36449, 36448])).
% 7.38/6.03 tff(36451,plain,
% 7.38/6.03 (node14(s297, s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36450, 130, 36427])).
% 7.38/6.03 tff(36452,plain,
% 7.38/6.03 (((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, 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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36453,plain,
% 7.38/6.03 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36454,plain,
% 7.38/6.03 ((~![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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | (~node14(s297, s298)) | m_main_v_state2(s298, c_t2)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36453, 36452])).
% 7.38/6.03 tff(36455,plain,
% 7.38/6.03 ((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_state2(s298, c_t2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36454, 893, 36451])).
% 7.38/6.03 tff(36456,plain,
% 7.38/6.03 (m_main_v_state2(s298, c_t2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36455, 36419, 23816])).
% 7.38/6.03 tff(36457,plain,
% 7.38/6.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36458,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36459,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s298, c_n2)) | (~m_main_v_state2(s298, c_t2))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36458, 36457])).
% 7.38/6.03 tff(36460,plain,
% 7.38/6.03 (~m_main_v_state2(s298, c_n2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36459, 10, 36456])).
% 7.38/6.03 tff(36461,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s298, c_n2) | (~node2(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s298, c_n2) | (~node2(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36462,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s298, c_n2) | (~node2(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36463,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s298, c_n2) | (~node2(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36462, 36461])).
% 7.38/6.03 tff(36464,plain,
% 7.38/6.03 (~node2(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36463, 195, 36460])).
% 7.38/6.03 tff(36465,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s298, c_n2) | (~node4(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s298, c_n2) | (~node4(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36466,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s298, c_n2) | (~node4(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36467,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s298, c_n2) | (~node4(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36466, 36465])).
% 7.38/6.03 tff(36468,plain,
% 7.38/6.03 (~node4(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36467, 162, 36460])).
% 7.38/6.03 tff(36469,plain,
% 7.38/6.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36470,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36471,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s298, c_t2)) | (~m_main_v_state2(s298, c_c2))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36470, 36469])).
% 7.38/6.03 tff(36472,plain,
% 7.38/6.03 (~m_main_v_state2(s298, c_c2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36471, 173, 36456])).
% 7.38/6.03 tff(36473,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s298, c_c2) | (~node3(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s298, c_c2) | (~node3(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36474,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s298, c_c2) | (~node3(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36475,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s298, c_c2) | (~node3(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36474, 36473])).
% 7.38/6.03 tff(36476,plain,
% 7.38/6.03 (~node3(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36475, 184, 36472])).
% 7.38/6.03 tff(36477,plain,
% 7.38/6.03 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36478,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36479,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s298, c_n1)) | (~m_main_v_state1(s298, c_c1))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36478, 36477])).
% 7.38/6.03 tff(36480,plain,
% 7.38/6.03 (~m_main_v_state1(s298, c_n1)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36479, 449, 36439])).
% 7.38/6.03 tff(36481,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s298, c_n1) | (~node1(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s298, c_n1) | (~node1(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36482,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s298, c_n1) | (~node1(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36483,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s298, c_n1) | (~node1(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36482, 36481])).
% 7.38/6.03 tff(36484,plain,
% 7.38/6.03 (~node1(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36483, 249, 36480])).
% 7.38/6.03 tff(36485,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s298, s299)) | node7(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s298, s299)) | node7(s298, s299))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36486,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s298, s299)) | node7(s298, s299))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36487,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s298, s299)) | node7(s298, s299)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36486, 36485])).
% 7.38/6.03 tff(36488,plain,
% 7.38/6.03 (node7(s298, s299)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36487, 217, 30029])).
% 7.38/6.03 tff(36489,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, 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(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36490,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36491,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | (~node7(s298, s299)) | m_main_v_state1(s299, c_n1)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36490, 36489])).
% 7.38/6.03 tff(36492,plain,
% 7.38/6.03 ((~m_main_v_state1(s298, c_c1)) | node1(s298) | node2(s298) | node3(s298) | node4(s298) | node5(s298) | m_main_v_state1(s299, c_n1)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36491, 478, 36488])).
% 7.38/6.03 tff(36493,plain,
% 7.38/6.03 (m_main_v_state1(s299, c_n1)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36492, 36484, 36439, 36476, 36468, 36464, 36447])).
% 7.38/6.03 tff(36494,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s297, c_t2) | (~node15(s297)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s297, c_t2) | (~node15(s297)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36495,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s297, c_t2) | (~node15(s297)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36496,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s297, c_t2) | (~node15(s297))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36495, 36494])).
% 7.38/6.03 tff(36497,plain,
% 7.38/6.03 (~node15(s297)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36496, 21, 23820])).
% 7.38/6.03 tff(36498,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s297, s298)) | node18(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s297, s298)) | node18(s297, s298))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36499,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s297, s298)) | node18(s297, s298))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36500,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s297, s298)) | node18(s297, s298)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36499, 36498])).
% 7.38/6.03 tff(36501,plain,
% 7.38/6.03 (node18(s297, s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36500, 71, 36427])).
% 7.38/6.03 tff(36502,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~m_main_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(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, 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(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36503,plain,
% 7.38/6.03 (((~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1)) <=> (node15(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36504,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~m_main_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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, 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(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)))),
% 7.38/6.03 inference(monotonicity,[status(thm)],[36503])).
% 7.38/6.03 tff(36505,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~m_main_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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, 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(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1))),
% 7.38/6.03 inference(transitivity,[status(thm)],[36504, 36502])).
% 7.38/6.03 tff(36506,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~m_main_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(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | node15(s297) | (~node18(s297, s298)) | m_main_v_turn(s298, c_1))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36507,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~m_main_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(s297) | (~node18(s297, s298)) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36506, 36505])).
% 7.38/6.03 tff(36508,plain,
% 7.38/6.03 (node15(s297) | (~m_main_v_state1(s297, c_t1)) | (~m_main_v_state2(s297, c_n2)) | m_main_v_turn(s298, c_1)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36507, 863, 36501])).
% 7.38/6.03 tff(36509,plain,
% 7.38/6.03 (m_main_v_turn(s298, c_1)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36508, 36497, 23816, 36419])).
% 7.38/6.03 tff(36510,plain,
% 7.38/6.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36511,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36512,plain,
% 7.38/6.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s298, c_1)) | (~m_main_v_turn(s298, c_2))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36511, 36510])).
% 7.38/6.03 tff(36513,plain,
% 7.38/6.03 (~m_main_v_turn(s298, c_2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36512, 322, 36509])).
% 7.38/6.03 tff(36514,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s298, c_2) | (~node12(s298)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s298, c_2) | (~node12(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36515,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s298, c_2) | (~node12(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36516,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s298, c_2) | (~node12(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36515, 36514])).
% 7.38/6.03 tff(36517,plain,
% 7.38/6.03 (~node12(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36516, 350, 36513])).
% 7.38/6.03 tff(36518,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s298, c_n2) | (~node8(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s298, c_n2) | (~node8(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36519,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s298, c_n2) | (~node8(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36520,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s298, c_n2) | (~node8(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36519, 36518])).
% 7.38/6.03 tff(36521,plain,
% 7.38/6.03 (~node8(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36520, 383, 36460])).
% 7.38/6.03 tff(36522,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s298, c_n2) | (~node9(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s298, c_n2) | (~node9(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36523,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s298, c_n2) | (~node9(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36524,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s298, c_n2) | (~node9(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36523, 36522])).
% 7.38/6.03 tff(36525,plain,
% 7.38/6.03 (~node9(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36524, 311, 36460])).
% 7.38/6.03 tff(36526,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s298, c_n2) | (~node10(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s298, c_n2) | (~node10(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36527,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s298, c_n2) | (~node10(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36528,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s298, c_n2) | (~node10(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36527, 36526])).
% 7.38/6.03 tff(36529,plain,
% 7.38/6.03 (~node10(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36528, 372, 36460])).
% 7.38/6.03 tff(36530,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s298, c_n1) | (~node11(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s298, c_n1) | (~node11(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36531,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s298, c_n1) | (~node11(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36532,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s298, c_n1) | (~node11(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36531, 36530])).
% 7.38/6.03 tff(36533,plain,
% 7.38/6.03 (~node11(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36532, 361, 36480])).
% 7.38/6.03 tff(36534,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s298, s299)) | node14(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s298, s299)) | node14(s298, s299))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36535,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s298, s299)) | node14(s298, s299))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36536,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s298, s299)) | node14(s298, s299)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36535, 36534])).
% 7.38/6.03 tff(36537,plain,
% 7.38/6.03 (node14(s298, s299)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36536, 130, 30029])).
% 7.38/6.03 tff(36538,plain,
% 7.38/6.03 (((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))) <=> ((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36539,plain,
% 7.38/6.03 ((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36540,plain,
% 7.38/6.03 ((~![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(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299) | (~node14(s298, s299))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36539, 36538])).
% 7.38/6.03 tff(36541,plain,
% 7.38/6.03 (m_main_v_state2(s298, c_c2) | node9(s298) | node8(s298) | node10(s298) | node11(s298) | node12(s298) | node13(s298, s299)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36540, 401, 36537])).
% 7.38/6.03 tff(36542,plain,
% 7.38/6.03 (node13(s298, s299)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36541, 36533, 36472, 36529, 36525, 36521, 36517])).
% 7.38/6.03 tff(36543,plain,
% 7.38/6.03 (((~![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(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36544,plain,
% 7.38/6.03 (((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2)) <=> ((~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36545,plain,
% 7.38/6.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, 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(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299))))),
% 7.38/6.03 inference(monotonicity,[status(thm)],[36544])).
% 7.38/6.03 tff(36546,plain,
% 7.38/6.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, 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(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299)))),
% 7.38/6.03 inference(transitivity,[status(thm)],[36545, 36543])).
% 7.38/6.03 tff(36547,plain,
% 7.38/6.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s298, s299)) | (~m_main_v_state2(s298, c_t2)) | m_main_v_state2(s299, c_t2))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36548,plain,
% 7.38/6.03 ((~![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(s298, c_t2)) | m_main_v_state2(s299, c_t2) | (~node13(s298, s299))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36547, 36546])).
% 7.38/6.03 tff(36549,plain,
% 7.38/6.03 (m_main_v_state2(s299, c_t2)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36548, 563, 36456, 36542])).
% 7.38/6.03 tff(36550,plain,
% 7.38/6.03 (((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s298)) | m_main_v_turn(s298, 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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s298)) | m_main_v_turn(s298, c_2))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36551,plain,
% 7.38/6.03 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s298)) | m_main_v_turn(s298, c_2))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36552,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s298)) | m_main_v_turn(s298, c_2)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36551, 36550])).
% 7.38/6.03 tff(36553,plain,
% 7.38/6.03 ($false),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36552, 625, 36513, 36549, 36493, 36351])).
% 7.38/6.03 tff(36554,plain,(~node18(s299, s298)), inference(lemma,lemma(discharge,[]))).
% 7.38/6.03 tff(36555,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s298)) | node18(s299, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s298)) | node18(s299, s298))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36556,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s298)) | node18(s299, s298))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36557,plain,
% 7.38/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s298)) | node18(s299, s298)),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36556, 36555])).
% 7.38/6.03 tff(36558,plain,
% 7.38/6.03 (~trans(s299, s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36557, 71, 36554])).
% 7.38/6.03 tff(36559,assumption,(node18(s299, s299)), introduced(assumption)).
% 7.38/6.03 tff(36560,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s298, c_n2) | (~node16(s298)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s298, c_n2) | (~node16(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36561,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s298, c_n2) | (~node16(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36562,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s298, c_n2) | (~node16(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36561, 36560])).
% 7.38/6.03 tff(36563,plain,
% 7.38/6.03 (~node16(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36562, 497, 36460])).
% 7.38/6.03 tff(36564,plain,
% 7.38/6.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s298, c_n1) | (~node15(s298)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s298, c_n1) | (~node15(s298)))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36565,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s298, c_n1) | (~node15(s298)))),
% 7.38/6.03 inference(quant_inst,[status(thm)],[])).
% 7.38/6.03 tff(36566,plain,
% 7.38/6.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s298, c_n1) | (~node15(s298))),
% 7.38/6.03 inference(modus_ponens,[status(thm)],[36565, 36564])).
% 7.38/6.03 tff(36567,plain,
% 7.38/6.03 (~node15(s298)),
% 7.38/6.03 inference(unit_resolution,[status(thm)],[36566, 508, 36480])).
% 7.38/6.03 tff(36568,plain,
% 7.38/6.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s298, s299)) | node18(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s298, s299)) | node18(s298, s299))),
% 7.38/6.03 inference(rewrite,[status(thm)],[])).
% 7.38/6.03 tff(36569,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s298, s299)) | node18(s298, s299))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36570,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s298, s299)) | node18(s298, s299)),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36569, 36568])).
% 7.38/6.04 tff(36571,plain,
% 7.38/6.04 (node18(s298, s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36570, 71, 30029])).
% 7.38/6.04 tff(36572,plain,
% 7.38/6.04 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s298) | node16(s298) | node17(s298, s299) | (~node18(s298, s299)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s298) | node16(s298) | node17(s298, s299) | (~node18(s298, s299)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36573,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s298) | node16(s298) | node17(s298, s299) | (~node18(s298, s299)))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36574,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s298) | node16(s298) | node17(s298, s299) | (~node18(s298, s299))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36573, 36572])).
% 7.38/6.04 tff(36575,plain,
% 7.38/6.04 (node15(s298) | node16(s298) | node17(s298, s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36574, 85, 36571])).
% 7.38/6.04 tff(36576,plain,
% 7.38/6.04 (node17(s298, s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36575, 36567, 36563])).
% 7.38/6.04 tff(36577,plain,
% 7.38/6.04 (((~![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(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, 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(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, c_2)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36578,plain,
% 7.38/6.04 (((~node17(s298, s299)) | m_main_v_turn(s298, c_2) | (~m_main_v_turn(s299, c_2))) <=> (m_main_v_turn(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, c_2)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36579,plain,
% 7.38/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s298, s299)) | m_main_v_turn(s298, c_2) | (~m_main_v_turn(s299, 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(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, c_2))))),
% 7.38/6.04 inference(monotonicity,[status(thm)],[36578])).
% 7.38/6.04 tff(36580,plain,
% 7.38/6.04 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s298, s299)) | m_main_v_turn(s298, c_2) | (~m_main_v_turn(s299, 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(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, c_2)))),
% 7.38/6.04 inference(transitivity,[status(thm)],[36579, 36577])).
% 7.38/6.04 tff(36581,plain,
% 7.38/6.04 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s298, s299)) | m_main_v_turn(s298, c_2) | (~m_main_v_turn(s299, c_2)))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36582,plain,
% 7.38/6.04 ((~![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(s298, c_2) | (~node17(s298, s299)) | (~m_main_v_turn(s299, c_2))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36581, 36580])).
% 7.38/6.04 tff(36583,plain,
% 7.38/6.04 (~m_main_v_turn(s299, c_2)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36582, 336, 36513, 36576])).
% 7.38/6.04 tff(36584,plain,
% 7.38/6.04 (((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s299)) | m_main_v_turn(s299, 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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s299)) | m_main_v_turn(s299, c_2))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36585,plain,
% 7.38/6.04 ((~![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(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s299)) | m_main_v_turn(s299, c_2))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36586,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s299, c_n1)) | (~m_main_v_state2(s299, c_t2)) | (~node18(s299, s299)) | m_main_v_turn(s299, c_2)),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36585, 36584])).
% 7.38/6.04 tff(36587,plain,
% 7.38/6.04 ($false),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36586, 625, 36583, 36549, 36493, 36559])).
% 7.38/6.04 tff(36588,plain,(~node18(s299, s299)), inference(lemma,lemma(discharge,[]))).
% 7.38/6.04 tff(36589,plain,
% 7.38/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s299)) | node18(s299, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s299)) | node18(s299, s299))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36590,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s299, s299)) | node18(s299, s299))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36591,plain,
% 7.38/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s299, s299)) | node18(s299, s299)),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36590, 36589])).
% 7.38/6.04 tff(36592,plain,
% 7.38/6.04 (~trans(s299, s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36591, 71, 36588])).
% 7.38/6.04 tff(36593,assumption,(~loop), introduced(assumption)).
% 7.38/6.04 tff(36594,plain,
% 7.38/6.04 (^[X: $i] : refl((loop | (~always25(X)) | (~last(X))) <=> (loop | (~always25(X)) | (~last(X))))),
% 7.38/6.04 inference(bind,[status(th)],[])).
% 7.38/6.04 tff(36595,plain,
% 7.38/6.04 (![X: $i] : (loop | (~always25(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(quant_intro,[status(thm)],[36594])).
% 7.38/6.04 tff(36596,plain,
% 7.38/6.04 (![X: $i] : (loop | (~always25(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36597,plain,
% 7.38/6.04 (^[X: $i] : rewrite(((loop | (~always25(X))) | (~last(X))) <=> (loop | (~always25(X)) | (~last(X))))),
% 7.38/6.04 inference(bind,[status(th)],[])).
% 7.38/6.04 tff(36598,plain,
% 7.38/6.04 (![X: $i] : ((loop | (~always25(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(quant_intro,[status(thm)],[36597])).
% 7.38/6.04 tff(36599,axiom,(![X: $i] : ((loop | (~always25(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty16')).
% 7.38/6.04 tff(36600,plain,
% 7.38/6.04 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36599, 36598])).
% 7.38/6.04 tff(36601,plain,
% 7.38/6.04 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36600, 36596])).
% 7.38/6.04 tff(36602,plain,(
% 7.38/6.04 ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(skolemize,[status(sab)],[36601])).
% 7.38/6.04 tff(36603,plain,
% 7.38/6.04 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36602, 36595])).
% 7.38/6.04 tff(36604,plain,
% 7.38/6.04 (((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | (loop | (~always25(s299)) | (~last(s299)))) <=> ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | loop | (~always25(s299)) | (~last(s299)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36605,plain,
% 7.38/6.04 ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | (loop | (~always25(s299)) | (~last(s299)))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36606,plain,
% 7.38/6.04 ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | loop | (~always25(s299)) | (~last(s299))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36605, 36604])).
% 7.38/6.04 tff(36607,plain,
% 7.38/6.04 (loop | (~always25(s299))),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36606, 30054, 36603])).
% 7.38/6.04 tff(36608,plain,
% 7.38/6.04 (~always25(s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36607, 36593])).
% 7.38/6.04 tff(36609,plain,
% 7.38/6.04 (~node26(s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[15546, 15543, 36608])).
% 7.38/6.04 tff(36610,plain,
% 7.38/6.04 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 7.38/6.04 inference(bind,[status(th)],[])).
% 7.38/6.04 tff(36611,plain,
% 7.38/6.04 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(quant_intro,[status(thm)],[36610])).
% 7.38/6.04 tff(36612,plain,
% 7.38/6.04 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36613,plain,
% 7.38/6.04 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 7.38/6.04 inference(bind,[status(th)],[])).
% 7.38/6.04 tff(36614,plain,
% 7.38/6.04 (![X: $i] : ((loop | (~last(X))) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(quant_intro,[status(thm)],[36613])).
% 7.38/6.04 tff(36615,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty21')).
% 7.38/6.04 tff(36616,plain,
% 7.38/6.04 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36615, 36614])).
% 7.38/6.04 tff(36617,plain,
% 7.38/6.04 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36616, 36612])).
% 7.38/6.04 tff(36618,plain,(
% 7.38/6.04 ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(skolemize,[status(sab)],[36617])).
% 7.38/6.04 tff(36619,plain,
% 7.38/6.04 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36618, 36611])).
% 7.38/6.04 tff(36620,plain,
% 7.38/6.04 (((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s299)) | (~xuntil28(s299)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s299)) | (~xuntil28(s299)))),
% 7.38/6.04 inference(rewrite,[status(thm)],[])).
% 7.38/6.04 tff(36621,plain,
% 7.38/6.04 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s299)) | (~xuntil28(s299)))),
% 7.38/6.04 inference(quant_inst,[status(thm)],[])).
% 7.38/6.04 tff(36622,plain,
% 7.38/6.04 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s299)) | (~xuntil28(s299))),
% 7.38/6.04 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 7.38/6.04 tff(36623,plain,
% 7.38/6.04 (loop | (~xuntil28(s299))),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36622, 30054, 36619])).
% 7.38/6.04 tff(36624,plain,
% 7.38/6.04 (~xuntil28(s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[36623, 36593])).
% 7.38/6.04 tff(36625,plain,
% 7.38/6.04 (~until27(s299)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[15567, 15561, 36624, 36609])).
% 7.38/6.04 tff(36626,plain,
% 7.38/6.04 (~always25(s298)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[30036, 36608])).
% 7.38/6.04 tff(36627,plain,
% 7.38/6.04 (~node26(s298)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[30040, 15543, 36626])).
% 7.38/6.04 tff(36628,plain,
% 7.38/6.04 (xuntil28(s298)),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[30024, 36627])).
% 7.38/6.04 tff(36629,plain,
% 7.38/6.04 ($false),
% 7.38/6.04 inference(unit_resolution,[status(thm)],[15587, 36628, 36625])).
% 7.38/6.04 tff(36630,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 7.38/6.04 tff(36631,plain,
% 7.38/6.04 (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299))),
% 7.38/6.05 inference(rewrite,[status(thm)],[])).
% 7.38/6.05 tff(36632,plain,
% 7.38/6.05 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298)) | trans(s299, s299)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299))),
% 7.38/6.06 inference(rewrite,[status(thm)],[])).
% 7.38/6.06 tff(36633,plain,
% 7.38/6.06 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297)) | trans(s299, s298)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298))),
% 7.38/6.07 inference(rewrite,[status(thm)],[])).
% 7.38/6.07 tff(36634,plain,
% 7.38/6.07 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296)) | trans(s299, s297)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297))),
% 7.38/6.08 inference(rewrite,[status(thm)],[])).
% 7.38/6.08 tff(36635,plain,
% 7.38/6.08 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295)) | trans(s299, s296)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296))),
% 7.38/6.09 inference(rewrite,[status(thm)],[])).
% 7.38/6.09 tff(36636,plain,
% 7.38/6.09 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294)) | trans(s299, s295)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295))),
% 7.38/6.10 inference(rewrite,[status(thm)],[])).
% 7.38/6.10 tff(36637,plain,
% 7.38/6.10 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293)) | trans(s299, s294)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294))),
% 7.38/6.11 inference(rewrite,[status(thm)],[])).
% 7.38/6.11 tff(36638,plain,
% 7.38/6.11 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292)) | trans(s299, s293)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293))),
% 7.48/6.12 inference(rewrite,[status(thm)],[])).
% 7.48/6.12 tff(36639,plain,
% 7.48/6.12 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291)) | trans(s299, s292)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292))),
% 7.48/6.13 inference(rewrite,[status(thm)],[])).
% 7.48/6.13 tff(36640,plain,
% 7.48/6.13 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290)) | trans(s299, s291)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291))),
% 7.48/6.14 inference(rewrite,[status(thm)],[])).
% 7.48/6.14 tff(36641,plain,
% 7.48/6.14 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289)) | trans(s299, s290)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290))),
% 7.48/6.15 inference(rewrite,[status(thm)],[])).
% 7.48/6.15 tff(36642,plain,
% 7.48/6.15 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288)) | trans(s299, s289)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289))),
% 7.48/6.15 inference(rewrite,[status(thm)],[])).
% 7.48/6.15 tff(36643,plain,
% 7.48/6.15 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287)) | trans(s299, s288)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288))),
% 7.48/6.16 inference(rewrite,[status(thm)],[])).
% 7.48/6.16 tff(36644,plain,
% 7.48/6.16 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286)) | trans(s299, s287)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287))),
% 7.48/6.17 inference(rewrite,[status(thm)],[])).
% 7.48/6.17 tff(36645,plain,
% 7.48/6.17 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285)) | trans(s299, s286)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286))),
% 7.48/6.18 inference(rewrite,[status(thm)],[])).
% 7.48/6.18 tff(36646,plain,
% 7.48/6.18 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284)) | trans(s299, s285)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285))),
% 7.48/6.19 inference(rewrite,[status(thm)],[])).
% 7.48/6.19 tff(36647,plain,
% 7.48/6.19 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283)) | trans(s299, s284)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284))),
% 7.56/6.20 inference(rewrite,[status(thm)],[])).
% 7.56/6.20 tff(36648,plain,
% 7.56/6.20 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282)) | trans(s299, s283)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283))),
% 7.56/6.21 inference(rewrite,[status(thm)],[])).
% 7.56/6.21 tff(36649,plain,
% 7.56/6.21 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281)) | trans(s299, s282)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282))),
% 7.56/6.22 inference(rewrite,[status(thm)],[])).
% 7.56/6.22 tff(36650,plain,
% 7.56/6.22 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280)) | trans(s299, s281)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281))),
% 7.56/6.23 inference(rewrite,[status(thm)],[])).
% 7.56/6.23 tff(36651,plain,
% 7.56/6.23 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279)) | trans(s299, s280)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280))),
% 7.56/6.24 inference(rewrite,[status(thm)],[])).
% 7.56/6.24 tff(36652,plain,
% 7.56/6.24 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278)) | trans(s299, s279)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279))),
% 7.56/6.25 inference(rewrite,[status(thm)],[])).
% 7.56/6.25 tff(36653,plain,
% 7.56/6.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277)) | trans(s299, s278)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278))),
% 7.56/6.25 inference(rewrite,[status(thm)],[])).
% 7.56/6.25 tff(36654,plain,
% 7.56/6.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276)) | trans(s299, s277)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277))),
% 7.56/6.26 inference(rewrite,[status(thm)],[])).
% 7.56/6.26 tff(36655,plain,
% 7.56/6.26 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275)) | trans(s299, s276)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276))),
% 7.56/6.27 inference(rewrite,[status(thm)],[])).
% 7.56/6.27 tff(36656,plain,
% 7.56/6.27 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274)) | trans(s299, s275)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275))),
% 7.56/6.28 inference(rewrite,[status(thm)],[])).
% 7.56/6.28 tff(36657,plain,
% 7.56/6.28 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273)) | trans(s299, s274)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274))),
% 7.56/6.29 inference(rewrite,[status(thm)],[])).
% 7.56/6.29 tff(36658,plain,
% 7.56/6.29 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272)) | trans(s299, s273)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273))),
% 7.66/6.30 inference(rewrite,[status(thm)],[])).
% 7.66/6.30 tff(36659,plain,
% 7.66/6.30 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271)) | trans(s299, s272)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272))),
% 7.66/6.31 inference(rewrite,[status(thm)],[])).
% 7.66/6.31 tff(36660,plain,
% 7.66/6.31 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270)) | trans(s299, s271)) <